Symmetric collocation for unstructered nonlinear differential-algebraic equations of arbitrary index. (English) Zbl 1061.65075
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)
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 methodsCitations:
Zbl 1003.65093References:
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