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A new class of discretization methods for the solution of linear differential-algebraic equations with variable coefficients. (English) Zbl 0858.65064

A new discretization method for linear differential-algebraic equations (DAEs) is developed. This method can be used for DAEs with variable coefficients. New numerical methods for the computation of local invariants of such DAEs are introduced. Based on these numerical methods regularization schemes are obtained. The new algorithms are applied to a number of numerical tests.
Reviewer: T.E.Simos (Xanthi)

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A09 Implicit ordinary differential equations, differential-algebraic equations
34A30 Linear ordinary differential equations and systems

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