Matematiikan ja systeemianalyysin laitos

Ajankohtaista

Tutkimusraportit

Allaolevassa luettelossa ovat viimeisimmät tutkimusraporttimme. Science + Technology-sarja korvasi vuoden 2011 alusta vanhat raporttisarjat A ja C. Paperikopioita voi pyytää osoitteesta math[A]tkk_fi.

Helsinki University of Technology Institute of Mathematics Research Reports A

A598
Stig-Olof Londen, Hana Petzeltová
Regularity and separation from potential barriers for a non-local phase-field system   [pdf][ps]
Received 2010-12-21 * non-local phase-field systems; regularity of solutions; separation property; convergence to equilibria * AMS 35B40, 35B45, 35K65, 45K05 * 15 pages
A597
Mikko Byckling
Preconditioning for standard and two-sided Krylov subspace methods   [pdf][ps]
Received 2010-12-30 * minimal residual methods, Krylov subspaces, nonsymmetric systems, preconditioning, approximate inverses * AMS 65F10,65F05,65F08 * 176 pages
A596
Olavi Nevanlinna
Multicentric Holomorphic Calculus   [pdf][ps]
Received 2010-11-25 * Jacobi series, spectrum, holomorphic functional calculus, polynomial numerical hull * AMS 30B99, 32E30, 34L16, 47A10, 47A60 * 21 pages
A595
Juho Könnö, Rolf Stenberg
Numerical computations with H(div)-finite elements for the Brinkman problem   [pdf][ps]
Received 2010-11-25 * Brinkman equation, H(div) conforming, SIPG, Nitsche, a posteriori, computations * AMS 65N30 * 21 pages
A594
Atte Aalto, Jarmo Malinen
Cauchy problems from networks of passive boundary control systems   [pdf][ps]
Received 2010-10-15 * boundary control, passive system, distributed parameter system, well-posedness, composition, Cauchy problem * AMS 35R02, 47A48, 47N70, 35L65 * 25 pages
A593
Toni Lassila
Model reduction and level set methods for shape optimization problems   [pdf][ps]
Received 2010-10-01 * shape optimization, topological optimization, level set method, model reduction, reduced basis method, partial differential equations * AMS 35R35, 49Q10, 65K10 * 31 pages
A592
Olavi Nevanlinna
Upper bounds for R-linear resolvents   [pdf][ps]
Received 2010-09-21 * real linear operator, resolvent operator, spectrum * AMS 47A10 * 8 pages
A591
Juhana Siljander
Regularity for degenerate nonlinear parabolic partial differential equations   [pdf][ps]
Received 2010-09-27 * regularity, existence, higher regularity, Moser's iteration, reverse Hölder inequality, Caccioppoli inequality, Schwarz alternating method, obstacle problem * AMS 35K65, 35K10, 35B65, 35D30 * 20 pages
A590
Ehsan Azmoodeh
Riemann-Stieltjes integrals with respect to fractional Brownian motion and applications   [pdf][ps]
Received 2010-09-06 * fractional Brownian motion, pathwise stochastic integral, quadratic variation, functions of bounded variation, arbitrage, pricing by hedging, approximative hedging, proportional transaction costs * AMS 60G15, 60H05, 62M15, 91B28, 91B70 * 98 pages
A589
Antti Rasila, Jarno Talponen
Convexity properties of quasihyperbolic balls on Banach spaces   [pdf][ps]
Received 2010-08-06 * quasihyperbolic metric, distance ratio metric, uniform convexity, starlikeness, Banach spaces, Hilbert spaces, Radon-Nikodym property * AMS 30C65, 46T05 * 19 pages
A588
Kalle Mikkola
Real solutions to control, approximation, factorization, representation, Hankel and Toeplitz problems   [pdf][ps]
Received 2010-06-07 * Real-symmetric functions, real coprime factors, real state-feedback operators, real stabilizing controllers, real optimal control, real Hilbert spaces * AMS 93D25, 49N10, 93D15, 47B35, 47A68 * 25 pages
A587
Antti Hannukainen, Rolf Stenberg, Martin Vohralík
A unified framework for a posteriori error estimation for the Stokes problem   [pdf][ps]
Received 2010-05-14 * Stokes problem, a posteriori error estimate, guaranteed upper bound, unified framework, conforming finite element method, discontinuous Galerkin method, nonconforming finite element method, mixed finite element method, finite volume method * AMS 65N15, 76M12, 76S05 * 32 pages
A586
Kui Du, Olavi Nevanlinna
Minimal residual methods for solving a class of R-linear systems of equations   [pdf][ps]
Received 2010-05-06 * R-linear GMRES, equivalent real formulation, spectral analysis * AMS 65F10, 15A18 * 12 pages
A585
Daniel Aalto
Boundedness of maximal operators and oscillation of functions in metric measure spaces   [pdf][ps]
Received 2010-03-31 * doubling measure, maximal functions, discrete convolution, BMO, John-Nirenberg inequality, rearrangements * AMS 42B25, 43A85, 46E35 * 16 pages
A584
Tapio Helin
Discretization and Bayesian modeling in inverse problems and imaging   [pdf][ps]
Received 2010-02-25 * inverse problems, Mumford-Shah functional, Bayesian inversion, hierarchical modeling, discretization invariance, image model, Borel measure, metric space * AMS 60F17, 35A15, 65C20, 65D18 * 29 pages
A583
Wolfgang Desch, Stig-Olof Londen
Semilinear stochastic integral equations in Lp   [pdf][ps]
Received 2009-12-31 * semilinear stochastic integral equations, stochastic fractional differential equation, regularity, nonnegative operator, Volterra equation, singular kernel * AMS 60H15, 60H20, 45N05 * 26 pages
A582
Juho Könnö, Rolf Stenberg
Analysis of H(div)-conforming finite elements for the Brinkman problem   [pdf][ps]
Received 2010-01-02 * Brinkman equations, Nitsche's method, mixed finite element methods, a posteriori * AMS 65N30 * 19 pages
A581
Wolfgang Desch, Stig-Olof Londen
An Lp-theory for stochastic integral equations   [pdf][ps]
Received 2009-11-11 * stochastic integral equations, stochastic fractional differential equation, regularity, nonnegative operator, Volterra equation, singular kernel * AMS 60H15, 60H20, 45N05 * 25 pages
A580
Juho Könnö, Dominik Schötzau, Rolf Stenberg
Mixed finite element methods for problems with Robin boundary conditions   [pdf][ps]
Received 2009-11-21 * mixed finite element methods, Robin boundary conditions, postprocessing, a posteriori analysis * AMS 65N30 * 19 pages
A579
Lasse Leskelä, Falk Unger
Stability of a spatial polling system with greedy myopic service   [pdf][ps]
Received 2009-09-11 * spatial queueing system, dynamic traveling repairman, quadratic Lyapunov functional, spatial-temporal point process, spatial birth-and-death process * AMS 60K25 * 24 pages
A578
Jarno Talponen
Special symmetries of Banach spaces isomorphic to Hilbert spaces   [pdf][ps]
Received 2009-09-03 * ultratechniques, rotations, characterizations of Hilbert spaces, dynamics of topological groups * AMS 46B04, 46B08 * 10 pages
A577
Fernando Rambla-Barreno, Jarno Talponen
Uniformly convex-transitive function spaces   [pdf][ps]
Received 2009-09-03 * Banach spaces, uniform convex-transitivity, convex-transitive, almost transitive, vector-valued function spaces, rotations * AMS 46B04, 46B20, 46B25 * 19 pages
A576
Saminathan Ponnusamy, Antti Rasila
On zeros and boundary behavior of bounded harmonic functions   [pdf][ps]
Received 2009-08-28 * analytic and planar harmonic functions, angular limits, multiplicity of zeroes * AMS 30C15, 31A20 * 10 pages
A575
Harri Hakula, Antti Rasila, Matti Vuorinen
On moduli of rings and quadrilaterals: algorithms and experiments   [pdf][ps]
Received 2009-08-28 * conformal capacity, conformal modulus, quadrilateral modulus, hp-FEM, numerical conformal mapping * AMS 65E05, 31A15, 30C85 * 21 pages
A574
Lasse Leskelä, Philippe Robert, Florian Simatos
Stability properties of linear file-sharing networks   [pdf][ps]
Received 2009-07-03 * peer-to-peer algorithms, killed branching processes * AMS 60K25 * 30 pages
A573
Mika Juntunen
Finite element methods for parameter dependent problems   [pdf][ps]
Received 2009-06-23 * finite element method, boundary conditions, Nitsche's method, a posteriori estimation, Stokes equation, Darcy equation, Brinkman equation * AMS 65N30 * 14 pages
A572
Bogdan Bojarski
Differentiation of measurable functions and Whitney-Luzin type structure theorems   [pdf][ps]
Received 2009-06-03 * Whitney jet, Markov inequality, approximate differentiablity * AMS 46E35 * 30 pages
A571
Lasse Leskelä
Computational methods for stochastic relations and Markovian couplings   [pdf][ps]
Received 2009-06-01 * Markovian coupling, stochastic comparison, stochastic order, stochastic relation * AMS 60B99, 60E15, 60J25 * 18 pages
A570
Janos Karatson, Sergey Korotov
Discrete maximum principles for FEM solutions of nonlinear elliptic systems   [pdf][ps]
Received 2009-05-20 * elliptic system, finite element method, discrete maximum principle * AMS 65N50, 65M50 * 53 pages
A569
Antti Hannukainen, Mika Juntunen, Rolf Stenberg
Computations with finite element methods for the Brinkman problem   [pdf][ps]
Received 2009-04-14 * Brinkman equation, Stokes equation, Darcy equation, MINI, Taylor-Hood, stabilized methods, a posteriori, adaptive * AMS 65N30 * 19 pages
A568
Olavi Nevanlinna
Computing the spectrum and representing the resolvent   [pdf][ps]
Received 2009-04-08 * resolvent operator, spectrum, polynomial numerical hull, numerical range, semidecidable, quasialgebraic operator, residue calculus, perturbation * AMS 47A10, 47A12, 47A66 * 21 pages
A567
Antti Hannukainen, Sergey Korotov, Michal Krizek
On a bisection algorithm that produces conforming locally refined simplicial meshes   [pdf][ps]
Received 2009-04-09 * bisection algorithm, simplicial elements, conforming finite element method, local refinements, nested meshes * AMS 65N50, 65M50 * 11 pages
A566
Mika Juntunen, Rolf Stenberg
A residual based a posteriori estimator for the reaction-diffusion problem   [pdf][ps]
Received 2009-02-24 * reaction-diffusion, a posteriori, singularly perturbed * AMS 65N30 * 7 pages
A565
Ehsan Azmoodeh, Yulia Mishura, Esko Valkeila
On hedging European options in geometric fractional Brownian motion market model   [pdf][ps]
Received 2009-02-10 * arbitrage, pricing by hedging, geometric fractional Brownian motion, stochastic integrals * AMS 91B28, 91B70, 60G15, 60H05 * 16 pages
A564
Antti H. Niemi
Best bilinear shell element: flat, twisted or curved?   [pdf][ps]
Received 2009-02-17 * shell elements, locking, shell layers, shell vibration modes, asymptotic behavior * AMS 74S05, 74K25 * 27 pages
A563
Dmitri Kuzmin, Sergey Korotov
Goal-oriented a posteriori error estimates for transport problems   [pdf][ps]
Received 2009-02-10 * stationary convection-diffusion equations, the finite element method, a posteriori error estimates, goal-oriented quantities, mesh adaptation * AMS 65N15, 65N50, 76M30 * 16 pages
A562
Antti H. Niemi
A bilinear shell element based on a refined shallow shell model   [pdf][ps]
Received 2008-12-18 * shells, finite elements, locking * AMS 74S05, 74K25 * 30 pages
A561
Antti Hannukainen, Sergey Korotov, Michal Krizek
On nodal superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations   [pdf][ps]
Received 2008-12-02 * higher order error estimates, tetrahedral and prismatic elements, superconvergence, averaging operators * AMS 65N30 * 13 pages
A560
Sampsa Pursiainen
Computational methods in electromagnetic biomedical inverse problems   [pdf][ps]
Received 2008-11-24 * inverse problems, electromagnetics, biomedical imaging, electroencephalography/magnetoencephalography (EEG/MEG), electrical impedance tomoraphy (EIT), limited-angle computerized tomography (limited-angle CT), regularization, Bayesian methodology, Markov chain Monte Carlo (MCMC), factorization method of Kirsch, forward modeling and simulation, h-FEM, p-FEM * AMS 92C55, 78A70, 15A29, 35R30, 65R32 * 50 pages
A559
Sergey Korotov, Michal Krizek, Jakub Solc
On a discrete maximum principle for linear FE solutions of elliptic problems with a nondiagonal coefficient matrix   [pdf][ps]
Received 2008-11-28 * discrete maximum principle, finite element method, acute triangulations, full diffusion tensor * AMS 65N30, 65N50 * 10 pages
A558
José Igor Morlanes, Antti Rasila, Tommi Sottinen
Empirical evidence on arbitrage by changing the stock exchange   [pdf][ps]
Received 2008-12-09 * arbitrage, option-pricing volatility * AMS 91B28, 60H30 * 10 pages
A557
Mika Juntunen, Rolf Stenberg
Analysis of finite element methods for the Brinkman problem   [pdf][ps]
Received 2009-04-14 * Brinkman equation, Stokes equation, Darcy equation, Nitsche's method, mixed finite element methods, stabilized methods * AMS 65N30 * 19 pages
A556
Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg
A posteriori error analysis for the Morley plate element with general boundary conditions   [pdf][ps]
Received 2008-12-15 * nonconforming finite elements, a posteriori error analysis, Morley plate element, Kirchhoff plate model, boundary conditions * AMS 65N30, 74S05, 74K20 * 31 pages
A555
Juho Könnö, Rolf Stenberg
Finite element analysis of composite plates with an application to the paper cockling problem   [pdf][ps]
Received 2008-12-12 * Composite plates, MITC, finite element analysis, cockling, paper manufacturing * AMS 65N30, 74S05, 74K20 * 18 pages
A554
Lasse Leskelä
Stochastic relations of random variables and processes   [pdf][ps]
Received 2008-10-07 * stochastic order, stochastic relation, subrelation, coupling, probability kernel, random dynamical system, Markov process * AMS 60B99, 60E15, 60G99, 60J99 * 27 pages
A553
Rolf Stenberg
A nonstandard mixed finite element family   [pdf][ps]
Received 2008-09-01 * mixed finite element methods, macroelement technique,postprocessing, a posteriori estimates * AMS 65N30 * 9 pages
A552
Janos Karatson, Sergey Korotov
A discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems   [pdf][ps]
Received 2008-08-26 * elliptic system, maximum principles, finite element method, discrete maximum principle * AMS 65N30, 65N50 * 40 pages
A551
István Faragó, Janos Karatson, Sergey Korotov
Discrete maximum principles for the FEM solution of some nonlinear parabolic problems   [pdf][ps]
Received 2008-08-26 * nonlinear parabolic problems, discrete maximum principle, finite element method * AMS 65M60, 65M50, 35B50 * 24 pages
A550
István Faragó, Róbert Horváth, Sergey Korotov
Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions   [pdf][ps]
Received 2008-08-26 * nonstationary diffusion-reaction problem, maximum principle, mixed boundary conditions, linear finite elements, discrete maximum principle, simplicial partition, angle condition * AMS 65M60, 65M50, 35B50 * 21 pages
A549
Antti Hannukainen, Sergey Korotov, Tomás Vejchodský
On weakening conditions for discrete maximum principles for linear finite element schemes   [pdf][ps]
Received 2008-08-26 * elliptic equations, maximum principles, finite element method, discrete maximum principle, monotone matrix, matrix irreducibility * AMS 65N30, 65N50 * 9 pages
A548
Kalle Mikkola
Weakly coprime factorization, continuous-time systems, and strong-Hp and Nevanlinna fractions   [pdf][ps]
Received 2008-08-28 * Weak coprimeness, stabilizable realization, stabilizable and detectable realization, LQ-optimal state feedback, infinite-dimensional systems theory, well-posed linear systems, holomorphic fractions * AMS 49N10, 93D15, 93B52; 47A68, 47A56, 47B35 * 48 pages
A547
Wolfgang Desch, Stig-Olof Londen
A generalization of an inequality by N. V. Krylov   [pdf][ps]
Received 2008-06-05 * Littlewood-Paley inequality, heat kernel, resolvent operators, stochastic integral equations * AMS 60H15, 45K05 * 34 pages
A546
Olavi Nevanlinna
Resolvent and polynomial numerical hull   [pdf][ps]
Received 2008-05-13 * resolvent operator, spectrum, polynomial numerical hull, numerical range, quasialgebraic operator, Riesz projection * AMS 47A10, 47A12, 47A66 * 14 pages
A545
Ruth Kaila
The integrated volatility implied by option prices, a Bayesian approach   [pdf][ps] * erratum (2008-05-20) [pdf][ps]
Received 2008-04-22 * implied integrated volatility, stochastic volatility, quadratic variation, Bayesian inference, MCMC sampling, hypermodel * AMS 91B * 102 pages
A544
Stig-Olof Londen, Hana Petzeltová
Convergence of solutions of a non-local phase-field system   [pdf][ps]
Received 2008-03-10 * non-local phase-field systems, Simon-Lojasiewicz theorem, convergence to equilibria * AMS 35K45, 35K57, 35B40, 80A22 * 17 pages
A543
Outi Elina Maasalo
Self-improving phenomena in the calculus of variations on metric spaces   [pdf][ps]
Received 2008-02-25 * BMO function, Caccioppoli inequality, capacity, doubling measure, Gehring lemma, geodesic space, global integrability, higher integrability, Hölder domain, metric space, Muckenhoupt weight, Newtonian space, p-fatness, Poincaré inequality, quasiminimizer, reverse Hölder inequality, superharmonic function, superminimizer, stability * AMS 31C05, 31C45, 42B25, 49N60, 49Q20 * 22 pages
A542
Vladimir M. Miklyukov, Antti Rasila, Matti Vuorinen
Stagnation zones for A-harmonic functions on canonical domains   [pdf][ps]
Received 2008-02-14 / Revised 2008-02-20 * stagnation zone, A-harmonic function, Saint-Venant principle, Phragmén-Lindelöf principle * AMS 31C45, 35J65, 46E35 * 23 pages
A541
Teemu Lukkari
Nonlinear potential theory of elliptic equations with nonstandard growth   [pdf][ps]
Received 2008-02-08 * Nonstandard growth, variable exponent, p(x)-Laplacian, logarithmic Hölder continuity, Caccioppoli estimate, Moser iteration, Harnack's inequality, regularity, comparison principle, superharmonic function, removability, growth of solutions, existence of generalized solutions, measure data * AMS 35J70, 35J60, 31C45, 35B45, 35B50, 35D05, 35D10, 46E35 * 21 pages
A540
Riikka Korte
Geometric properties of metric measure spaces and Sobolev-type inequalities   [pdf][ps]
Received 2008-01-21 * boxing inequality, capacity, doubling measure, functions of bounded variation, Hausdorff content, Lebesgue points, metric spaces, modulus, Newtonian spaces, Poincaré inequality, quasiconvexity, Sobolev-Poincaré inequality, Sobolev spaces * AMS 46E35, 31C15 * 16 pages
A539
Aly A. El-Sabbagh, F.A. Abd El Salam, K. El Nagaar
On the spectrum of the symmetric relations for the canonical systems of differential equations in Hilbert space   [pdf][ps] abstract: [pdf][ps]
Received 2007-12-18 * Hilbert Spaces, Symmetric Relations, minimal and maximal relations, Weyl-Coefficients, and Canonical Systems of Differential Equations * AMS 47A20 * 9 pages
A538
Aly A. El-Sabbagh, F.A. Abd El Salam, K. El Nagaar
On the existence of the selfadjoint extension of the symmetric relation in Hilbert space   [pdf][ps] abstract: [pdf][ps]
Received 2007-12-18 * Symmetric Operator, Symmetric Relation, Hilbert Space, Perturbing Case, Selfadjoint Extensions, Krein Space * AMS 47A20 * 9 pages
A537
Teijo Arponen, Samuli Piipponen, Jukka Tuomela
Kinematic analysis of Bricard's mechanism   [pdf][ps] abstract: [pdf][ps]
Received 2007-11-27 * Multibody systems. Configuration space. Ideal decomposition. Overconstrained linkages. Gröbner bases * AMS 70B15, 13P10, 70G25 * 22 pages
A536
Toni Lassila
Optimal damping set of a membrane and topology discovering shape optimization   [pdf][ps] abstract: [pdf][ps]
Received 2007-11-18 * shape optimization, level set methods, wave equation, optimal damping * AMS 49Q10, 65K10 * 16 pages
A535
Esko Valkeila
On the approximation of geometric fractional Brownian motion   [pdf][ps] abstract: [pdf][ps]
Received 2007-10-29 * Arbitrage, geometric fractional Brownian motion, approximation * AMS 60F17, 60H99, 91B28 * 17 pages
A534
Jarkko Niiranen
A priori and a posteriori error analysis of finite element methods for plate models   [pdf][ps] abstract: [pdf][ps]
Received 2007-10-15 * finite elements, a priori error analysis, a posteriori error analysis, plate models, MITC-elements, adaptivity * AMS 65N30, 74S05, 74K20 * 28 pages
A533
Heikki J. Tikanmäki
Edgeworth expansion for the one dimensional distribution of a Lévy process   [pdf][ps] abstract: [pdf][ps]
Received 2007-09-26 * Asymptotic expansions, Cram?r?s condition, cumulants, Edgeworth approximation, Lévy processes * AMS 60G51,60E07,60G50 * 17 pages
A532
Tuomo T. Kuusi
Harnack estimates for supersolutions to a nonlinear degenerate equation   [pdf][ps]
Received 2007-09-19 * Parabolic nonlinear partial differential equations, Harnack estimates, weak solutions, parabolic Moser's method, De Giorgi's estimates, intrinsic time scale, regularity of solutions, Hölder continuity of solutions * AMS (missing) * 57 pages
A531
Mika Juntunen, Rolf Stenberg
An unconditionally stable mixed discontinuous Galerkin method   [pdf][ps] abstract: [pdf][ps]
Received 2007-11-28 * Mixed method, discontinuous Galerkin method, stability, Nitsche's method * AMS 65N30, 65N55 * 20 pages
A530
Mika Juntunen, Rolf Stenberg
Nitsches method for general boundary conditions   [pdf][ps] abstract: [pdf][ps]
Received 2007-10-17 * Robin boundary conditions, stabilization, Nitsches method * AMS 65N30 * 26 pages
A529
Mikko Parviainen
Global higher integrability for nonlinear parabolic partial differential equations in nonsmooth domains   [pdf][ps]
Received 2007-09-18 * boundary value problem, Caccioppoli inequality, capacity density, Gehring lemma, Giaquinta-Modica lemma, initial value problem, integrability of the gradient, nonlinear parabolic system, parabolic p-Laplace equation, reverse Hölder inequality * AMS 35K60, 35K55, 35K15, 49N60 * 48 pages
A528
Kalle Mikkola
Hankel and Toeplitz operators on nonseparable Hilbert spaces: further results   [pdf][ps] abstract: [pdf][ps]
Received 2007-08-20 * strong Hardy spaces of operator-valued functions, strongly essentially bounded functions, shift-invariant subspaces, translation-invariant operators, inner functions, left invertibility. * AMS 47B35, 46C99, 46E40 * 50 pages
A527
Janos Karatson, Sergey Korotov
Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems   [pdf][ps] abstract: [pdf][ps]
Received 2007-08-08 * a posteriori error estimation, error control in energy norm, error estimates of functional type, elliptic equation of second order, elliptic equation of fourth order, second order elasticity system, mixed boundary conditions * AMS 65J05, 65J15, 65M60, 65N15, 65N30, 65N50 * 47 pages
A526
Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg
A family of C^0 finite elements for Kirchhoff plates II: Numerical results   [pdf][ps] abstract: [pdf][ps]
Received 2007-05-25 * finite elements, Kirchhoff plate model, free boundary, a-priori error tests, a-posteriori error tests, adaptivity * AMS 65N30, 74S05, 74K20 * 29 pages
A525
Jan Brandts, Sergey Korotov, Michal Krizek
The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem   [pdf][ps] abstract: [pdf][ps]
Received 2007-07-13 / Revised 2007-07-18 * reaction-diffusion problem, maximum principle, finite element method, discrete maximum principle, simplicial partition, angle condition * AMS 65N30, 65N50 * 16 pages
A524
Dmitri Kuzmin, Antti Hannukainen, Sergey Korotov
A new a posteriori error estimate for convection-reaction-diffusion problems   [pdf][ps] abstract: [pdf][ps]
Received 2007-05-23 * convection-reaction-diffusion, a posteriori error estimation, adaptivity * AMS 65N15, 65N50, 76M30 * 12 pages
A523
Olavi Nevanlinna
Circlets and diagonalization of real linear operators   [pdf][ps]
Received 2007-04-13 * real linear operators, circlets, noncommutative scalars * AMS 15A33, 47S10 * 48 pages
A522
Antti Hannukainen, Sergey Korotov, Marcus Ruter
A posteriori error estimates for some problems in linear elasticity   [pdf][ps] abstract: [pdf][ps]
Received 2007-03-27 * a posteriori error estimation, local errors, superconvergence, finite element method, linear elasticity, fracture mechanics * AMS 65N15, 65N30, 65N50 * 14 pages
A521
Sergey Korotov, Ales Kropac, Michal Krizek
Strong regularity of a family of face-to-face partitions generated by the longest-edge bisection algorithm   [pdf][ps] abstract: [pdf][ps]
Received 2007-04-24 * Zlamal's minimum angle condition, simplicial elements, conforming finite element method, nested partitions * AMS 65M50, 65N30 * 18 pages
A519
Teemu Lukkari
Elliptic equations with nonstandard growth involving measure data   [pdf][ps] abstract: [pdf][ps]
Received 2007-02-09 * Nonstandard growth, measure data, superharmonic functions * AMS 35J70, 35D05, 31C45 * 18 pages
A518
Niko Marola
Regularity and convergence results in the calculus of variations on metric spaces   [pdf][ps] abstract: [pdf][ps]
Received 2007-02-06 * Caccioppoli inequality, doubling measure, Harnack covergence theorem, Harnack inequality, metric space, minimizer, Moser iteration, Newtonian space, nonlinear eigenvalue problem, p-Dirichlet integral, p-Laplace equation, Poincare inequality, quasiminimizer, quasisubminimizer, quasisuperminimizer, Rayleigh quotient, Sobolev space, subminimizer, superminimizer * AMS 35J20, 35J60, 35P30, 49J27, 49J52, 49N60 * 13 pages
A517
Jan Brandts, Sergey Korotov, Michal Krizek
Simplicial finite elements in higher dimensions   [pdf][ps] abstract: [pdf][ps]
Received 2007-02-07 * n-simplex, finite element method, superconvergence, strengthened Cauchy-Schwarz inequality, discrete maximum principle * AMS 65N30, 51M20 * 16 pages
A516
Sergey Repin, Rolf Stenberg
Two-sided a posteriori estimates for the generalized stokes problem   [pdf][ps] abstract: [pdf][ps]
Received 2006-12-19 * generalized stoke's problem, a posteriori error estimates of the functional type, incompressible viscous fluids * AMS 65N30 * 32 pages
A515
Sergey Korotov
Global a posteriori error estimates for convection-reaction-diffusion problems   [pdf][ps] abstract: [pdf][ps]
Received 2006-12-08 * convection-reaction-diffusion equation, a posteriori error estimation, Friedrichs-Poincare inequality * AMS 65N15, 65N50, 76M30 * 13 pages
A514
Yulia Mishura, Esko Valkeila
An extension of the Lévy characterization to fractional Brownian motion   [pdf][ps] abstract: [pdf][ps]
Received 2006-12-05 * fractional Brownian motion, Lévy theorem * AMS 60G15, 60E05, 60H99 * 24 pages
A513
Wolfgang Desch, Stig-Olof Londen
On a stochastic parabolic integral equation   [pdf][ps] abstract: [pdf][ps]
Received 2006-10-26 * Stochastic integral equations, Krylovs method * AMS 60H20 45R05 * 12 pages
A512
Joachim Schöberl, Rolf Stenberg
Multigrid methods for a stabilized Reissner-Mindlin plate formulation   [pdf][ps] abstract: [pdf][ps]
Received 2006-10-16 * Reissner-Mindlin plate, stabilized finite element method, multigrid method * AMS 65N30, 65N55, 74S05 * 19 pages
A511
Carlo Lovadina, Mikko Lyly, Rolf Stenberg
A posteriori estimates for the Stokes eigenvalue problem   [pdf][ps]
Received 2007-02-08 * Stokes eigenvalue problem, a-posteriori error estimate, adaptive computations * AMS 65N30, 34L15 * 17 pages
A510
Janos Karatson, Sergey Korotov
Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems   [pdf][ps] abstract: [pdf][ps]
Received 2006-12-07 * nonlinear elliptic problem, interface problem, maximum principle, discrete maximum principle, finite element method, simplicial mesh * AMS 35B50, 35J65, 65N30, 65N50 * 23 pages
A509
Jukka Tuomela, Teijo Arponen, Villesamuli Normi
On the simulation of multibody systems with holonomic constraints   [pdf][ps] abstract: [pdf][ps]
Received 2006-09-07 * differential algebraic equations, multibody systems, Runge-Kutta methods, lagrangian mechanics * AMS primary 65L80, 70E55 secondary 34A26, 65L05 * 39 pages
A508
Teijo Arponen, Samuli Piipponen, Jukka Tuomela
Analysing singularities of a benchmark problem   [pdf][ps] abstract: [pdf][ps]
Received 2006-09-04 * Multibody systems, Andrews squeezing mechanism, Ideal decomposition, Constraint singularities, Gröbner bases, Descriptor form, Angular coordinates * AMS 70B15, 13P10, 70G25 * 34 pages
A507
Pekka Alestalo, Dmitry A. Trotsenko
Bilipschitz extendability in the plane   [pdf][ps]
Received 2006-08-07 * bilipschitz, extension * AMS 30C65 * 13 pages
A506
Sergey Korotov
Error control in terms of linear functionals based on gradient averaging techniques   [pdf][ps] abstract: [pdf][ps]
Received 2006-07-26 * a posteriori error estimation, quantity of interest, finite element method, differential equation of elliptic type, linear elasticity, superconvergence * AMS 65N15, 65N30, 65N50 * 13 pages
A505
Jan Brandts, Sergey Korotov, Michal Krizek
On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions   [pdf][ps] abstract: [pdf][ps]
Received 2006-07-26 * finite element method, inscribed ball, circumscribed ball, regular family of simplicial partitions, Zl'amal's condition * AMS 65N12, 65N30 * 11 pages
A504
Janos Karatson, Sergey Korotov, Michal Krizek
On discrete maximum principles for nonlinear elliptic problems   [pdf][ps] abstract: [pdf][ps]
Received 2006-07-26 * nonlinear elliptic problem, mixed boundary conditions, discrete maximum principle, finite element method, quadratures * AMS 65N30, 65N50, 35B50, 35J65 * 17 pages
A503
Jan Brandts, Sergey Korotov, Michal Krizek, Jakub Solc
On acute and nonobtuse simplicial partitions   [pdf][ps] abstract: [pdf][ps]
Received 2006-07-25 * ortho-simplices, path-simplices, Delaunay triangulation, Kuhn partition, polytope * AMS 51M20, 65N30 * 17 pages
A502
Vladimir M. Miklyukov, Antti Rasila, Matti Vuorinen
Three spheres theorem for p-harmonic functions   [pdf][ps] abstract: [pdf][ps]
Received 2006-06-20 * three circles theorem, p-harmonic functions, p-Laplacian * AMS 35J60,35B05,35B50 * 17 pages
A501
Marina Sirviö
On an inverse subordinator storage   [pdf][ps] abstract: [pdf][ps]
Received 2006-06-27 * subordinator, stationary, storage process * AMS 60G10, 90B05, 60G51 * 14 pages
A500
Outi Elina Maasalo, Anna Zatorska-Goldstein
Stability of quasiminimizers of the p-Dirichlet integral with varying p on metric spaces   [pdf][ps] abstract: [pdf][ps]
Received 2006-04-24 * Caccioppoli inequality, capacity, doubling measure, Gehring lemma, metric space, Newtonian space, p-fatness, Poincaré inequality, quasiminimizer, stability * AMS Primary: 49Q20, Secondary: 31C45, 49N60 * 23 pages
A499
Mikko Parviainen
Global higher integrability for parabolic quasiminimizers in nonsmooth domains   [pdf][ps] abstract: [pdf][ps]
Received 2005-04-11 * nonlinear parabolic system, heat equation, capacity density, initial value problem, reverse Hoelder inequality * AMS Primary: 35K60; Secondary: 35K15, 35K55, 49N60 * 25 pages
A498
Marcus Ruter, Sergey Korotov, Christian Steenbock
Goal-oriented error estimates based on different FE-spaces for the primal and the dual problem with applications to fracture mechanics   [pdf][ps] abstract: [pdf][ps]
Received 2006-03-16 * A posteriori error estimation, finite elements, fracture mechanics * AMS 65N15, 65N30, 65N50, 74R10 * 24 pages
A497
Outi Elina Maasalo
Gehring lemma in metric spaces   [pdf][ps] abstract: [pdf][ps]
Received 2006-03-13 * doubling measure, quasisymmetric mapping, metric space, Muckenhoupt weight, reverse Hölder inequality * AMS 42B25 * 26 pages
A496
Jan Brandts, Sergey Korotov, Michal Krizek
Dissection of the path-simplex in R^n into n path-subsimplices   [pdf][ps] abstract: [pdf][ps]
Received 2006-03-03 * n-simplex, path-simplex, Coxeter's trisection, self-similarity * AMS 51M20, 65N30 * 15 pages
A495
Sergey Korotov
A posteriori error estimation for linear elliptic problems with mixed boundary conditions   [pdf][ps] abstract: [pdf][ps]
Received 2006-03-03 * reliable computations, a posteriori error estimation, error control in energy norm, differential equation of elliptic type, mixed boundary conditions * AMS 65N15, 65N30 * 14 pages
A494
Antti Hannukainen, Sergey Korotov
Computational technologies for reliable control of global and local errors for linear elliptic type boundary value problems   [pdf][ps] abstract: [pdf][ps]
Received 2006-02-16 * a posteriori error estimation, error control in energy norm, error control in terms of linear functionals, differential equation of elliptic type, mixed boundary conditions, gradient averaging * AMS 65N15, 65N30 * 23 pages
A493
Giovanni Formica, Stefania Fortino, Mikko Lyly
A theta method-based numerical simulation of crack growth in linear elastic fracture   [pdf][ps] abstract: [pdf][ps]
Received 2006-02-01 * Linear Elastic Fracture Mechanics (LEFM), theta method, Stable crack propagation, Finite Element Method (FEM) * AMS 47A10, 65F10 * 16 pages
A492
Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg
A posteriori error estimates for the plate bending Morley element   [pdf][ps] abstract: [pdf][ps]
Received 2006-02-01 * nonconforming finite elements, a posteriori error analysis, Morley plate element, Kirchhoff plate model, biharmonic problem * AMS 65N30, 74S05, 74K20 * 15 pages * Errata appended to the document on Oct 12, 2006.
A491
Lasse Leskelä
Comparison and scaling methods for performance analysis of stochastic networks   e-dissertation
Received 2005-12-02 * stochastic network, queueing, admission control, overflow routing, stochastic comparison, scaling, renormalization, spatial random field * AMS 60K25, 68M20, 90B15, 90B22, 60E50, 60F17, 60C60, 60C18 * 20 pages
A490
Anders Björn, Niko Marola
Moser iteration for (quasi)minimizers on metric spaces   [pdf][ps] abstract: [pdf][ps]
Received 2005-09-22 * Caccioppoli inequality, doubling measure, Harnack inequality, metric space, minimizer, Newtonian space, p-harmonic, Poincar'e inequality, quasiminimizer, quasisubminimizer, quasisuperminimizer, Sobolev space, subminimizer, superminimizer. * AMS 49N60; Secondary: 35J60, 49J27. * 29 pages
A489
Sampsa Pursiainen
A coarse-to-fine strategy for maximum a posteriori estimation in limited-angle computerized tomography   [pdf][ps] abstract: [pdf][ps]
Received 2005-09-14 * computerized-tomography, limited-angle tomography, Bayesian statistics, Gaussian densities, diagonalization, wavelet representation, preconditioning, Conjugate Gradient method * AMS 65N21, 65C50, 65F22, 65F10, 65T60 * 22 pages
A487
Ville Turunen
Differentiability in locally compact metric spaces   [pdf][ps] abstract: [pdf][ps]
Received 2005-05-03 * Metric space, dot product, comparison angles, Cauchy--Schwarz, curvature, Lipschitz functions, tangents, differentiability * AMS 51K05, 53C45, 53C70, 54E40 * 28 pages
A486
Hanna Pikkarainen
A mathematical model for electrical impedance process tomography   [pdf][ps] abstract: [pdf][ps]
Received 2005-04-19 * statistical inversion theory, nonstationary inverse problem, state estimation, Bayesian filtering, process tomography, electrical impedance tomography, complete electrode model * AMS 62M20 (Primary); 93E10, 60H15, 35J25 (Secondary) * 172 pages
A485
Sampsa Pursiainen
Bayesian approach to detection of anomalies in electrical impedance tomography   [pdf][ps] abstract: [pdf][ps]
Received 2005-04-06 * electrical impedance tomography, Bayesian statistics, Markov chain Monte Carlo, linear algebra, anomalous conductivities * AMS 65N21, 65C05, 65F05 * 320 pages
A484
Visa Latvala, Niko Marola, Mikko Pere
Harnack's inequality for a nonlinear eigenvalue problem on metric spaces   [pdf][ps] abstract: [pdf][ps]
Received 2005-03-10 * Sobolev space, Newtonian space, Caccioppoli estimate, Harnack's inequality, First eigenvalue, First eigenfunction, Rayleigh quotient, p-Dirichlet integral, Moser iteration * AMS 35P30, 35J20 * 20 pages
A483
Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg
A family of C^0 finite elements for Kirchhoff plates   [pdf][ps] abstract: [pdf][ps]
Received 2006-01-10 * finite elements, Kirchhoff plate model, free boundary, a-priori error analysis, a-posteriori error analysis * AMS 65N30, 74S05, 74K20 * 30 pages
A482
Mikko Lyly, Jarkko Niiranen, Rolf Stenberg
A refined error analysis of MITC plate elements   [pdf][ps] abstract: [pdf][ps]
Received 2005-04-13 / Revised 2005-04-18 * Reissner--Mindlin plates, MITC finite element methods, error analysis * AMS 65N30, 74S05, 74K20 * 12 pages
A481
Dario Gasbarra, Tommi Sottinen, Esko Valkeila
Gaussian bridges   [pdf][ps] abstract: [pdf][ps]
Received 2004-12-31 * Gaussian processes, Brownian bridge, pinned Gaussian processes, tied down Gaussian process, enlargement of filtration, fractional Brownian motion, fractional Brownian bridge * AMS 60G15, 60G18, 60G25, 60G44 * 24 pages
A480
Ville Havu, Jarmo Malinen
Approximation of the Laplace transform by the Cayley transform   [pdf][ps] abstract: [pdf][ps]
Received 2004-12-14 * Conservative system, Crank--Nicholson scheme * AMS 47A48, 65J10, 93C25, (34G10, 47N70, 65L70) * 22 pages
A479
Jarmo Malinen
Conservativity of time-flow invertible and boundary control systems   [pdf][ps] abstract: [pdf][ps]
Received 2004-12-14 * Conservative system, boundary control, time-flow invertibility, operator node, Cayley transform * AMS 47A48, 47N70, 93B28, 93C25 * 37 pages
A478
Niko Marola
Moser's method for minimizers on metric measure spaces   [pdf][ps] abstract: [pdf][ps]
Received 2004-10-29 * Sobolev space, Newtonian space, Caccioppoli estimates, Harnack's inequality * AMS 49N60, 35J20 * 23 pages
A477
Tuomo T. Kuusi
Moser's method for a nonlinear parabolic equation   [pdf][ps] abstract: [pdf][ps]
Received 2004-10-26 * Doubly nonlinear parabolic, Caccioppoli estimates, Harnack's inequality, parabolic BMO * AMS 35B55 * 19 pages
A476
Dario Gasbarra, Esko Valkeila, Lioudmila Vostrikova
Enlargement of filtration and additional information in pricing models: a Bayesian approach   [pdf][ps] abstract: [pdf][ps]
Received 2004-10-22 * dynamical Bayesian modelling, enlargement of filtration, asymmetric information, Levy processes * AMS 60G44, 91B28, 62B10 * 30 pages
A475
Iivo Vehviläinen
Applyining mathematical finance tools to the competitive Nordic electricity market   [pdf][ps] abstract: [pdf][ps]
Received 2004-10-22 * mathematical finance, electricity markets, risk management, derivative pricing, stochastic modelling * AMS 91B28, 60G35 * 34 pages
A474
Mikko Lyly, Jarkko Niiranen, Rolf Stenberg
Superconvergence and postprocessing of MITC plate elements   [pdf][ps] abstract: [pdf]
Received 2005-01-20 / Revised 2005-02-12 * Reissner--Mindlin plates, MITC finite element methods, superconvergence, postprocessing * AMS 65N30, 74S05, 74K20 * 29 pages
A473
Carlo Lovadina, Rolf Stenberg
Energy norm a posteriori error estimates for mixed finite element methods   [pdf][ps] abstract: [pdf][ps]
Received 2004-10-21 * mixed finite element methods, a-posteriori error estimates,post-processing * AMS 65N30 * 13 pages
A472
Carlo Lovadina, Rolf Stenberg
A posteriori error analysis of the linked interpolation technique for plate bending problems   [pdf][ps] abstract: [pdf][ps]
Received 2004-09-17 * Reissner-Mindlin plates, finite element methods, a posteriori error analysis. * AMS Primary 65N30; Secondary 74S05 * 20 pages
A471
Nuutti Hyvönen
Diffusive tomography methods: Special boundary conditions and characterization of inclusions   [pdf][ps] abstract: [pdf][ps]
Received 2004-04-01 * inverse boundary value problems, variational principles, optical tomography, non-scattering regions, radiative transfer equation, diffusion approximation, electrical impedance tomography, inverse conductivity problem, electrode models, inclusions, factorization method * AMS 35R30, 35Q60, 35J25, 31A25, 31B20, 35R05, 78A70 * 25 pages
A470
Lasse Leskelä
Stabilization of an overloaded queueing network using measurement-based admission control   [pdf][ps] abstract: [pdf][ps]
Received 2004-03-31 * queueing network; admission control; stability; overload; perturbed Markov process * AMS 60K25, 68M20, 90B15, 90B22 * 17 pages
A469
Jarmo Malinen
A remark on the Hille--Yoshida generator theorem   [pdf][ps] abstract: [pdf][ps]
Received 2004-05-18 * Semigroup generator, Hille--Yoshida theorem, Gibsons theorem * AMS 47D03, 47A10, 47A30 * 6 pages
A468
Jarmo Malinen, Olavi Nevanlinna, Zhijian Yuan
On a tauberian condition for bounded linear operators   [pdf][ps] abstract: [pdf][ps]
Received 2004-05-18 * Power bounded, Ritt resolvent condition, tauberian theorem * AMS 47A10, 40E05, 47A30, 47D03 * 10 pages
A467
Jarmo Malinen, Olavi Nevanlinna, Ville Turunen, Zhijian Yuan
A lower bound for the differences of powers of linear operators   [pdf][ps] abstract: [pdf][ps]
Received 2004-03-18 / Revised 2004-05-18 * Berkani's conjecture, quasi-nilpotent linear operator, differences of powers, decay * AMS 47A30, 47D03, 47A10, 30C45 * 10 pages
A466
Timo Salin
Quenching and blowup for reaction diffusion equations   [pdf][ps] abstract: [pdf][ps]
Received 2004-03-12 * Reaction-diffusion equation, quenching, quenching set, quenching rate, asymptotic behavior of solutions, refined asymptotics, blow-up, blow-up set, blow-up rate * AMS 35K20, 25K55, 25K57, 35K80, 35B40 * 28 pages
A465
Ville Turunen
Function Hopf algebra and pseudodifferential operators on compact Lie groups   [pdf][ps] abstract: [pdf][ps]
Received 2004-06-01 * Hopf algebras, pseudodifferential operators, compact Lie groups, function algebra, convolution * AMS 16W30, 47L80, 47G30, 22E30, 46E25, 43A77, 58J40, 35S05 * 14 pages
A464
Ville Turunen
Sampling at equiangular grids on the 2-sphere and estimates for Sobolev space interpolation   [pdf][ps] abstract: [pdf][ps]
Received 2003-11-28 * spherical harmonics, sampling, equiangular grid, interpolation, Sobolev space estimates * AMS 65T40, 33C55, 46E35, 42C10, 65T50 * 19 pages
A463
Marko Huhtanen, Jan von Pfaler
The real linear eigenvalue problem in C^n   [pdf][ps] abstract: [pdf][ps]
Received 2003-11-28 * R-linear operator in C^n, spectrum, characteristic bivariate polynomial, real algebraic plane curve, path following techniques * AMS 14Q05, 15A04, 65F15 * 32 pages
A462
Ville Turunen
Pseudodifferential calculus on the 2-sphere   [pdf][ps] abstract: [pdf][ps]
Received 2003-10-27 * Pseudodifferential operators, symbol calculus, asymptotic expansions, spherical harmonics, rotation group * AMS 58J40, 33C55, 22E30, 47G30, 35S05 * 9 pages
A461
Tuomas Hytönen
Vector-valued wavelets and the Hardy space H^1(R^n;X)   [pdf][ps] abstract: [pdf][ps]
Received 2003-04-23 * Wavelet basis, atomic decomposition, generalized Calder on{Zygmund op- erators, UMD-space * AMS 42B30, 42C40, 46E40 * 23 pages
A460
Timo Eirola, Jan von Pfaler
Numerical Taylor expansions for invariant manifolds   [pdf][ps] abstract: [pdf][ps]
Received 2003-04-24 / Revised 2003-07-14 * Numerical approximation of invariant manifolds, multivariate polynomial, bifurcation, Taylor expansion * AMS 65Q05, 65P, 37M, (secondary) 65P30, 65F20, 15A69 * 22 pages
A459
Timo Salin
The quenching problem for the N-dimensional ball   [pdf][ps] abstract: [pdf][ps]
Received 2003-04-23 * Reaction-diffusion equation, quenching, quenching rate, refined asymptotics * AMS 35K20, 35K55, 35K57 * 22 pages
A458
Tuomas Hytönen
Translation-invariant Operators on Spaces of Vector-valued Functions   [pdf][ps] abstract: [pdf][ps]
Received 2003-04-06 * Operator-valued Fourier multipliers; singular convolution integrals; Hardy, Lebesgue-Bochner and Besov spaces of vector-valued functions; Mihlin's theorem; Hörmander's intergral equation R-boundedness; UMD spaces; Fourier embeddings; evolution equations; maximal regularity * AMS 42B15, 42B20, 46E40 (Primary) 34G10, 42B30, 42B35, 46B09 (Secondary) * 194 pages
A457
Timo Salin
On a Refined Asymptotic Analysis for the Quenching Problem   [pdf][ps] abstract: [pdf][ps]
Received 2003-03-20 * Reaction-diffusion euqation, quenching, assumptotic behavior of solutions, blow-up * AMS 35K55, 35K57, 35B40 * 20 pages
A456
Ville Havu, Harri Hakula, Tomi Tuominen
A benchmark study of elliptic and hyperbolic shells of revolution   [pdf][ps] abstract: [pdf][ps]
Received 2003-01-16 * shells, finite elements, benchmark * AMS 74S05, 74K25 * 15 pages
A455
Yaroslav V. Kurylev, Matti Lassas, Erkki Somersalo
Maxwell's Equations with Scalar Impedance: Direct and Inverse Problems   [pdf][ps] abstract: [pdf][ps]
Received 2003-01-07 * Maxwell's equations, differential forms, boundary control, inverse problem, Riemannian manifolds * AMS 35A21, 35J55, 35L50, 35Q60, 35R30, 53C21, 58A10, 58J32, 58J90, 78A25 * 55 pages
A454
Timo Eirola, Marko Huhtanen, Jan von Pfaler
Solution methods for R-linear problems in C^n   [pdf][ps][pdf.gz][ps.gz] abstract: [pdf][ps]
Received 2002-10-09 / Revised 2002-10-29 * real linear operator in C^n, characteristic bivariate polynomial, isometry, LU--decomposition, QR--factorization, iterative methods, consimilarity * AMS 15A04, 65F10 * 32 pages
A453
Marko Huhtanen
Aspects of nonnormality for iterative methods   [pdf][ps] abstract: [pdf][ps]
Received 2002-09-26 * nonnormal matrix, binormal matrix, polynomially normal operator, unitary orbit, involution, iterative methods, Ritz values, measure of nonnormality * AMS 65F10, 65F15 * 25 pages
A452
Kalle Mikkola
Infinite-Dimensional Linear Systems, Optimal Control and Algebraic Riccati Equations   volumes 1-3   [pdf][ps][pdf.gz][ps.gz] abstract: [pdf][ps]
Received 2002-10-03 * suboptimal H-infinity control, standard H-infinity problem, measurement feedback problem; H-infinity full information control problem, state feedback problem; Nehari problem; LQC, LQR control, H2 problem, minimization; bounded real lemma, positive real lemma; dynamic stabilization, controller with internal loop, strong stabilization, exponential stabilization, optimizability; canonical factorization, (J,S)-spectral factorization, (J,S)-inner coprime factorization, generalized factorization, J-lossless factorization; compatible operators, weakly regular well-posed linear systems, distributed parameter systems; continuous-time, discrete-time; infinite-horizon; time-invariant operators, Toeplitz operators, Wiener class, equally-spaced delays, Popov function; transfer functions, H-infinity boundary functions, Fourier multipliers; Bochner integral, strongly measurable functions, strong Lp spaces; Laplace transform, Fourier transform * AMS 42A45, 46E40, 46G12, 47A68, 49J27, 49N10, 49N35, 93-02, 93A10, 93B36, 93B52, 93C05, 93C55, 93D15 * 1059 pages
A451
Marko Huhtanen
Combining normality with the FFT techniques   [pdf][ps] abstract: [pdf][ps]
Received 2002-09-24 * normal matrix, FFT, Toeplitz matrix, persymmetric matrix, normal embedding, Kronecker product, preconditioning, 5-term recurrence * AMS 15A57, 65F10, 65T50 * 26 pages
A450
Nikolai Yu. Bakaev
Resolvent estimates of elliptic differential and finite element operators in pairs of function spaces   [pdf][ps]
Received 2002-08-18 / Revised 2002-10-18 * Elliptic partial differential operators, elliptic finiteelement operators, resolvent estimates, pairs of function spaces * AMS 47D05, 65N30
A449
Juhani Pitkäranta
Mathematical and historical reflections on the lowest order finite element models for thin structures   [pdf][ps] abstract: [pdf][ps]
Received 2002-05-22 * finite elements, thin bodies, history * AMS 73V05, 65N30
A448
Teijo Arponen
Numerical solution and structural analysis of differential-algebraic equations   [pdf][ps]
Received 2002-05-30 * symbolic computation, Runge-Kutta methods, index reduction, overdetermined differential equations * AMS 34A26, 65L05, 70B15, 70E99, 34A09, 58A20
A447
Timo Salin
Quenching-rate estimate for a reaction diffusion equation with weakly singular reaction term   [pdf][ps]
Received 2002-04-30 * Reaction-diffusion equation, quenching, quenching set, quenching rate, blow-up * AMS 35K55, 35K60, 35B40
A446
Tuomas Hytönen
R-Boundedness is Necessary for Multipliers on H1   [pdf][ps]
Received 2002-02-28 * Operator-valued Fourier-multiplier, Hardy space, maximal regularity * AMS 47B38 (Primary) 42B15 (Secondary)
A445
Philippe Clément, Stig-Olof Londen, Gieri Simonett
Quasilinear Evolutionary Equations and Continuous Interpolation Spaces   [pdf] abstract: [pdf][ps]
Received 2002-03-30
A444
Tuomas Hytönen
Convolutions, Multipliers and Maximal Regularity on Vector-Valued Hardy Spaces   [pdf][ps]
Received 2001-12-30 * Operator-valued Fourier-multiplier, Hardy space, maximal regularity * AMS 47B38 (Primary) 42B15 (Secondary)
A443
Tuomas Hytönen
Existence and Regularity of Solutions of the Korteweg - de Vries Equations and Generalizations   [pdf][ps]
Received 2001-12-30 * Korteweg--de Vries equation, quasi-linear evolution equations, one-parameter semigroups of linear operators * AMS 35Q53 (Primary) 34G20 (Secondary)
A442
Ville Havu
Analysis of Reduced Finite Element Schemes in Parameter Dependent Elliptic Problems   [pdf][ps]
Received 2001-12-30 * finite elements, locking * AMS 65N30, 35J25
A441
Jukka Liukkonen
Data Reduction and Domain Truncation in Electromagnetic Obstacle Scattering   [pdf][ps]
Received 2001-10-30
A440
Ville Turunen
Pseudodifferential calculus on compact Lie groups and homogeneous spaces   [pdf][ps]
Received 2001-09-30 * periodic pseudo-differential operators, Lie groups, homogeneous spaces, non-commutative Fourier analysis, Schwartz kernels, operator-valued symbols, asymptotic expansions, analysis on sphere * AMS 35S05, 22E30, 43A77, 43A85, 46A32, 46E40, 47G30, 58J40, 47B47
A439
Jyrki Piila, Juhani Pitkäranta
On corner irregularities that arise in hyperbolic shell membrane theory   [pdf][ps]
Received 2001-07-30 * shells, membrane theory, corner irregularities * AMS 35L50, 35B65, 73K15
A438
Teijo Arponen
The complete form of a differential algebraic equation   [pdf][ps]
Received 2001-07-30 * higher index, overdetermined differential equations, index reduction, ideal decomposition, jet space * AMS 34A09, 58A20
A437
Viking Högnäs
Nonnegative operators and the method of sums   [pdf][ps]
Received 2001-06-30 * the method of sums, maximal regularity, nonnegative operators, fractional powers of positive operators, fractional derivatives, fractional evolution equations, Hölder continuous functions
A436
Ville Turunen
Pseudodifferential calculus on compact homogeneous spaces   [pdf][ps]
Received 2001-06-30 * pseudodifferential operators, homogeneous spaces, Lie groups, analysis on sphere * AMS 35S05, 43A85, 22E30, 47G30
A435
Timo Salin
On Quenching with Logarithmic Singularity   [pdf][ps]
Received 2001-05-30 * Reaction-diffusion equation, quenching, quenching set, quenching rate, blow-up * AMS 35K55, 35K60, 35B40
A434
Ville Havu
An Analysis of Asymptotic Consistency Error in a Parameter Dependent Model Problem   [pdf][ps]
Received 2001-03-30 * finite elements, locking, heat conduction * AMS 65N30, 73K15
A433
Ville Havu, Juhani Pitkäranta
Analysis of a bilinear finite element for shallow shells I: Consistency error   [pdf][ps]
Received 2001-01-30 * finite elements, locking, shells * AMS 65N30, 73K15
A432
Tuomas Hytönen
Optimal Wrap-Around Network Simulation   [pdf][ps]
Received 2000-12-30 * Simulation, cellular network, wrap-around, grid size, tiling * AMS 90B18 (Primary) 52C20, 51M20, 68U20 (Secondary)
A431
Ville Turunen
Pseudodifferential calculus on compact Lie groups   [pdf][ps]
Received 2001-06-30 * pseudodifferential operators, Lie groups, non-commutative Fouriertransform, operator-valued functions, symbol calculus, Schwartz kernels, asymptotic expansions, parametrices, commutators * AMS 35S05, 22E30, 43A77, 46A32, 46E40, 58J40, 47B47, 47G30
A430
Ville Havu, Juhani Pitkäranta
Analysis of a bilinear finite element for shallow shells I: Approximation of Inextensional Deformations   [pdf][ps]
Received 2000-05-30
A428
Jarmo Malinen
Discrete Time H-Infinity Algebraic Riccati Equations  
Received 2000-03-30
A427
Marko Huhtanen
A Hermitian Lanczos method for normal matrices   [pdf][ps]
Received 2000-01-30 * normal matrix, GMRES, Toeplitz decomposition, Hermitian Lanczos * AMS 65F10
A426
Timo Eirola
A Refined Polar Decomposition: A=UPD   [pdf][ps]
Received 2000-01-30 * Polar decomposition, orbits of matrices * AMS 15A23, 65F35
A425
Hermann Brunne, Arvet Pedas, Gennadi Vainikko
Piecewise polynomial collocation methods for linear Volterra integro-differential equations with weakly singular kernels   [pdf][ps]
Received 1999-12-30
A424
Olavi Nevanlinna
Resolvent conditions and powers of operators   [pdf][pdf.gz]
Received 1999-12-30
A423
Jukka Liukkonen
Generalized Electromagnetic Scattering in a Complex Geometry   [pdf][ps]
Received 1999-11-30 * electromagnetics, perfectly matched layer, scattering * AMS 35Q60, 53B30, 58G20, 78A25
A422
Marko Huhtanen
A matrix nearness problem related to iterative methods   [pdf][ps]
Received 1999-10-30 * Nearness problem, iterative methods, short term recurrence * AMS 65F10, 15A23
A421
Philippe Clément, Gustaf Gripenberg, Viking Högnäs, Stig-Olof Londen
Some remarks on the method of sums   [pdf][ps]
Received 1999-10-30 * Method of sums, maximal regularity, interpolation spaces * AMS 47A99, 47A10, 46B70
A420
Ville Havu, Juhani Pitkäranta
An Analysis of Finite Element Locking in a Parameter Dependent Model Problem   [pdf][ps]
Received 1999-08-30 * finite elements, locking, heat equation * AMS 65N30, 35J25
A419
Philippe Clément, Gustaf Gripenberg, Stig-Olof Londen
Smoothness in fractional evolution equations and conservation laws   [pdf][ps]
Received 1999-08-30 * fractional derivative, evolution equation, Hölder continuity, conservation law * AMS 35K99, 35L99, 45K05
A418
Marko Huhtanen
Pole assignment problems for error bounds for GMRES   [pdf][ps]
Received 1999-08-30 * GMRES, error bounds, pole assignment problem, nonnormality * AMS 65F10
A417
Kirsi Peltonen
Examples of uniformly quasiregular mappings   [pdf][ps]
Received 1999-07-30 * uniformly quasiregular mappings, quasiregular dynamics, branched covering * AMS 30C65, 58F (primary), 53C (secondary)
A416
Saara Hyvönen
On the Iterative Solution of Nonnormal Problems   [pdf][ps]
Received 1999-07-30 * Krylov methods, meromorphic functions, resolvent operator, Picard-Lindelöf iteration * AMS 47A10, 65F10
A415
Ville Turunen
A smooth operator valued symbol analysis   [pdf][ps]
Received 1999-08-30 * Pseudodifferential operators, Fourier series, symbol analysis, operator-valued, non-commutative, Fourier transform, quasidifference operators, asymptotic expansions, Schwartz kernels, commutators * AMS 35S05, 43A30 (primary), 22E30, 42A20, 43A75, 43A77, 46E40, 46F05, 47A05, 47A56, 47G30, 58G15(secondary)
A414
Marko Huhtanen
A stratification of the set of normal matrices   [pdf][ps]
Received 1999-05-30 * normal matrix, stratified submanifold, Toeplitz decomposition, Arnoldi iteration, eigenvalue problem * AMS 65F, 15A57
A413
Philippe Clément, Gustaf Gripenberg, Stig-Olof Londen
Regularity properties of solutions of functional evolution equations   [pdf][pdf.gz]
Received 1999-05-30
A412
Marko Huhtanen
Ideal GMRES can be bounded from below by three factors   [pdf][ps]
Received 1999-01-30 * iterative methods, Krylov subspace, ideal GMRES, nonnormality, pole placement, condition number, ill-conditioned eigenvalue, optimal diagonalization * AMS 65F10, 65F15, 15A18, 15A45
A411
Juhani Pitkäranta
The first locking-free plane-elastic finite element: historia mathematica   [pdf][ps]
Received 1999-01-30 * Finite elements, locking, elasticity * AMS 65N30, 73C02
A410
Kari Eloranta
Bounded Triangular and Kagomé Ice   [pdf][pdf.gz]
Received 1999-01-30 * 18/20-vertex model, ice model, Kagomé lattice, probabilistic cellular automaton
A409
Jukka Tuomela, Teijo Arponen
On the numerical solution of involutive ordinary differential systems: Boundary value problems   [pdf][ps]
Received 1998-12-30 * differential algebraic equations, integral manifolds, Runge-Kutta methods * AMS 52C20, 68Q80, 82C20
A408
Ville Turunen
Commutator Characterization of Periodic Pseudodifferential Operators   [pdf][ps]
Received 1998-12-30 * Commutators, pseudodifferential operators on manifolds, periodic pseudodifferential operators * AMS Primary 47G30, secondary 47B47, 58G15
A407
Jarmo Malinen
Discrete time Riccati equations and invariant subspaces of linear operators   [pdf][ps]
Received 1999-02-28 * Discrete time, feedback control, infinite-dimensional, input-output stable, Riccati equation, operator model, invariant subspace * AMS 47A15, 47A68, 47N70, 93B28
A406
Jarmo Malinen
Riccati Equations for H-Infinity Discrete Time Systems: Part II   [pdf][ps]
Received 1999-02-28 * (J, S)-inner-outer factorization, nonnegative solution, algebraic Riccati equation, discrete time, infinitedimensional * AMS 30D55, 47A68, 47N70, 93B28, 93C55
A405
Jarmo Malinen
Riccati Equations for H-Infinity Discrete Time Systems: Part I   [pdf][ps]
Received 1999-02-28 * Spectral factorization, algebraic Riccati equation, discrete time, infinite-dimensional * AMS 47A68, 47N70, 49J35, 93B28, 93C55
A404
Jarmo Malinen
Toeplitz Preconditioning of Toeplitz Matrices an Operator Theoretic Approach   [pdf][ps]
Received 1999-02-28 * Toeplitz operator, Krylov subspace methods, preconditioning, speed estimate, superlinear, linear * AMS 65T10, 65T20, 47B35
A403
Saara Hyvönen, Olavi Nevanlinna
Robust bounds for Krylov method   [pdf][ps]
Received 1998-11-30 * Krylov methods, meromorphic functions, resolvent operator * AMS 47A10, 65F10
A402
Saara Hyvönen
Growth of resolvents of certain infinite matrice   [pdf][ps]
Received 1998-11-30 * meromorphic functions, resolvent operator * AMS 47A10, 65F10
A401
Jukka Tuomela
On the Numerical Solution of Involutive Ordinary Differential Systems: Boundary value problems   [pdf][ps]
Received 1998-12-30 * nonlinear boundary value problems, nonlinear boundary conditions, jet spaces, linking number * AMS primary 34B15, 58F18, secondary 65L10, 58A20
A400
Seppo Hiltunen
Implicit functions from locally convex spaces to Banach spaces   [pdf][pdf.gz]
Received 1999-01-30 * Differentiability, implicit functions, infinite dimensional manifolds * AMS 58C20, 58C15, 46G05
A399
Otso Ovaskainen
Asymptotic and Adaptive Approaches to thin Body Problems in Elasticity   [ps]
Received 1998-12-30 * linear elasticity, shells, finite elements, adaptivity * AMS 73C02, 73C20, 73K15
A398
Jukka Liukkonen
Uniqueness of Electromagnetic Inversion by Local Surface Measurements   [pdf][ps]
Received 1998-08-30
A397
Jukka Tuomela
On the Numerical Solution of Involutive Ordinary Differential Systems   [pdf][ps]
Received 1998-12-30 * differential algebraic equations, integral manifolds, Runge-Kutta methods * AMS primary 34A26, 65L05, secondary 35N10, 58F40
A396
Philippe Clément, Gustaf Gripenberg, Stig-Olof Londen
Hölder Regularity for a Linear Fractional Evolution Equation   [pdf][ps]
Received 1998-12-30 * fractional derivative, Hölder continuity, integro-differential equation * AMS 35K99, 35L99, 45K05
A395
Matti Lassas, Erkki Somersalo
Analysis of the PML Equations in General Convex Geometry   [pdf][ps]
Received 1998-12-30 * Perfectly matched layor, articifial boundary conditions, scattering, mesh termination * AMS 35J05, 35Q60, 35J25, 65N30, 78A40
A393
Jukka Tuomela, Teijo Arponen
On the numerical solution of involutive ordinary differential equation systems   [pdf][ps]
Received 1998-12-30 * differential algebraic equations, overdetermined differential equations, formal theory of partial differential equations, jet spaces * AMS primary 34A26, 65L05, secondary 35N10, 58A20
A392
Hermann Brunne, Arvet Pedas, Gennadi Vainikko
The Piecewise Polynomial Collocation Method for Nonlinear Weakly Singular Volterra Equations   [pdf][pdf.gz]
Received 1997-12-30
A391
Kari Eloranta
The Bounded Eight-Vertex Model   [pdf][ps]
Received 1997-12-30 * eight-vertex model, symbolic dynamics, tiling, cellular automaton * AMS 52C20, 58F08, 82C20
A390
Kari Eloranta
Diamond Ice   [pdf][ps]
Received 1997-12-30 * ice model, sixvertex model, symbolic dynamics cellular automaton, tiling, domino * AMS 52C20, 68Q80, 82C20
A389
Olavi Nevanlinna
Growth of Operator Valued Meromorphic Functions   [pdf][ps]
Received 1997-12-30 * meromorphic functions, resolvent operator, perturbation theory * AMS 30G30, 47A10, 47B10
A388
Jukka Tuomela
On the Resolution of Singularities of Ordinary Differential Systems   [pdf][ps]
Received 1997-12-30 * singularities, differential equations, jet spaces * AMS Primary 58F14, 34A26, secondary 34C40
A387
Gennadi Vainikko
Fast Solvers of the Lippman-Schwinger Equation   [pdf][pdf.gz]
Received 1997-12-30 * Lippmann-Schwinger equation, Helmholtz equation, cubatures, collocation, fast solvers * AMS 35Q60, 65R20, 65T
A386
Ville Turunen, Gennadi Vainikko
On Symbol Analysis of Periodic Pseudodiff. Oper.   [pdf][pdf.gz]
Received 1997-12-30
A385
Jarmo Malinen
Minimax Control of Distributed Discrete Time Systems through Spectral Factorization   [pdf][pdf.gz]
Received 1997-12-30
A384
Jarmo Malinen
Well-Posed Discrete Time Linear Systems and Their Feedbacks   [pdf][pdf.gz]
Received 1997-12-30
A383
Kalle Mikkola
On the Stable H2 and H-Infinity Infinite-Dimensional Regular Problems and Their Algebraic Riccati Equations   [pdf][ps]
Received 1997-12-30 * H2 control, suboptimal H-infinity control, (J, S)-spectral factorization, algebraic Riccati equation, weakly regular well-posed linear systems * AMS 49J27, 93B36, 47A68
A382
Nikolai Volkov
Algebraizations of the First Order Logic   [pdf][pdf.gz]
Received 1997-12-30
A336
Jukka Tuomela
On the construction of arbitrary order schemes for many dimensional wave equation   [pdf]
Received * high order schemes, wave equation * AMS 65M10 * 31 pages

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