Symmetric collocation methods for linear differential-algebraic boundary value problems

DOI10.1007/s002110100315zbMath1003.65093OpenAlexW2023996199MaRDI QIDQ1601752

Peter Kunkel, Ronald Stöver

Publication date: 27 June 2002

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110100315

zbMATH Keywords

consistencynumerical examplessuperconvergenceGauss type methodslinear differential-algebraic boundary value problemsLobatto type methodssymmetric collocation methods

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical methods for differential-algebraic equations (65L80)

Related Items (9)

Symmetric collocation for unstructered nonlinear differential-algebraic equations of arbitrary index ⋮ A Survey on Optimal Control Problems with Differential-Algebraic Equations ⋮ Spectral collocation methods for differential-algebraic equations with arbitrary index ⋮ Solving higher index DAE optimal control problems ⋮ Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index ⋮ An efficient asymptotically correct error estimator for collocation solutions to singular index-1 DAEs ⋮ A globally convergent semi-smooth Newton method for control-state constrained DAE optimal control problems ⋮ Collocation methods for index 1 DAEs with a singularity of the first kind ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey

Uses Software

• GELDA
• COLNEW

This page was built for publication: Symmetric collocation methods for linear differential-algebraic boundary value problems