### Department of Mathematics and Systems Analysis

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Here are the reports authored by Teijo Arponen. See the reports of all authors.

- A537
**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
- A509
**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
**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
- A448
**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
- A438
**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
- A409
**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
- A393
**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

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