Runge-Kutta schemes that maintain invariant solutions for differential algebraic systems |
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Authors: | Inmaculada Higueras |
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Institution: | (1) Departamento de Matemática e Informática, Universidad Pública de Navarra, 31006 Pamplona, Spain |
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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. |
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Keywords: | 65L05 |
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