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Kunkel, Peter; Mehrmann, Volker; Stöver, Ronald

Symmetric collocation for unstructered nonlinear differential-algebraic equations of arbitrary index. (English) Zbl 1061.65075

Numer. Math. 98, No. 2, 277-304 (2004).
The authors present symmetric collocation methods for the solution of nonlinear differential-algebraic boundary value problems with arbitrary index. The results are an extension of the previous paper of the authors on solving linear problems [Numer. Math. 91, 475–501 (2002; Zbl 1003.65093)]. The numerical realization of the methods and numerical experiments are discussed.
Reviewer: Rudolf Scherer (Karlsruhe)

Cited in 14 Documents

MSC:

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

Keywords:

boundary value problem; collocation discretization; nonlinear differential-algebraic equation of arbitrary index; Gauss-type scheme; Lobatto-type scheme; numerical examples; superconvergence; symmetric collocation methods

Citations:

Zbl 1003.65093

Software:

GENDA; COLNEW; Matlab
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Full Text: DOI

References:

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