Symmetric collocation for unstructered nonlinear differential-algebraic equations of arbitrary index

DOI10.1007/s00211-004-0534-9zbMath1061.65075OpenAlexW1988974867MaRDI QIDQ1882394

Peter Kunkel, Ronald Stöver, Volker Mehrmann

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1007/s00211-004-0534-9

zbMATH Keywords

numerical examplessuperconvergenceboundary value problemsymmetric collocation methodscollocation discretizationGauss-type schemeLobatto-type schemenonlinear differential-algebraic equation of arbitrary index

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) 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 (14)

Symmetric collocation for unstructered nonlinear differential-algebraic equations of arbitrary index ⋮ A Survey on Optimal Control Problems with Differential-Algebraic Equations ⋮ Discretization of inherent ODEs and the geometric integration of DAEs with symmetries ⋮ Spectral collocation methods for differential-algebraic equations with arbitrary index ⋮ General Nonlinear Differential Algebraic Equations and Tracking Problems: A Robotics Example ⋮ Solving higher index DAE optimal control problems ⋮ Least-squares collocation for linear higher-index differential-algebraic equations ⋮ Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point ⋮ Optimal control for unstructured nonlinear differential-algebraic equations of arbitrary index ⋮ Self-adjoint differential-algebraic equations ⋮ Parallel indirect solution of optimal control problems ⋮ Numerical Linear Algebra Methods for Linear Differential-Algebraic Equations ⋮ Boundary-Value Problems for Differential-Algebraic Equations: A Survey ⋮ Parallel collocation solution of index-1 BVP-DAEs arising from constrained optimal control problems

Uses Software

• Matlab
• COLNEW
• GENDA

Cites Work

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• Collocation Software for Boundary Value Differential-Algebraic Equations
• Index reduction for differential-algebraic equations by minimal extension
• Solvability of General Differential Algebraic Equations
• Collocation methods for solving linear differential-algebraic boundary value problems
• Analysis of over- and underdetermined nonlinear differential-algebraic systems with application to nonlinear control problems

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