Iterative solution of SPARK methods applied to DAEs

DOI10.1023/A:1021116800010zbMath1055.65100OpenAlexW1623853584MaRDI QIDQ1862223

Laurent O. Jay

Publication date: 10 March 2003

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021116800010

zbMATH Keywords

mechanical systemspreconditioningdifferential-algebraic equationsRunge-Kutta methodsstiffnessparallel computationsnonholonomic constraintholonomic constraintperturbation indexLobatto coefficientsinexact modified Newton methodoverdetermined DAES

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80)

Related Items (6)

Energy and Quadratic Invariants Preserving Methods for Hamiltonian Systems With Holonomic Constraints ⋮ Starting algorithms for a class of RK methods for index-2 DAEs ⋮ Beyond conventional Runge-Kutta methods in numerical integration of ODEs and DAEs by use of structures and local models ⋮ An Hermite-Obreschkoff method for stiff high-index DAE ⋮ A novel formulation for determining joint constraint loads during optimal dynamic motion of redundant manipulators in DH representation ⋮ Preserving Poisson structure and orthogonality in numerical integration of differential equations

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