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On the Stability of an Implicit Spline Collocation Difference Scheme for Linear Partial Differential Algebraic Equations

Авторы: Gaidomak S.V.

Журнал: Computational Mathematics and Mathematical Physics

Том: 53

Номер: 9

Год: 2013

Отчётный год: 2013


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Аннотация: A boundary value problem for linear partial differential algebraic systems of equations with multiple characteristic curves is examined. It is assumed that the pencil of matrix functions associated with this system is smoothly equivalent to a special canonic form. The spline collocation is used to construct for this problem a difference scheme of an arbitrary approximation order with respect to each independent variable. Sufficient conditions are found for this scheme to be absolutely stable.

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