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Runge-Kutta schemes that maintain invariant solutions for differential algebraic systems
Authors:Inmaculada Higueras
Institution:(1) Departamento de Matemática e Informática, Universidad Pública de Navarra, 31006 Pamplona, Spain
Abstract:Implicit Runge-Kutta (IRK) methods and projected IRK methods for the solution of semiexplicit index-2 systems of differential algebraic systems (DAEs) have been proposed by several authors. In this paper we prove that if a method satisfiesBA+A t B–bb t =0, it conserves quadratic invariants of DAEs.
Keywords:65L05
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