A parallelizable preconditioner for the iterative solution of implicit Runge–Kutta-type methods

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A Parallelizable Preconditioner for the Iterative Solution of Implicit Runge-kutta Type Methods

The main di culty in the implementation of most standard implicit Runge-Kutta (IRK) methods applied to (sti ) ordinary di erential equations (ODE's) is to e ciently solve the nonlinear system of equations. In this article we propose the use of a preconditioner whose decomposition cost for a parallel implementation is equivalent to the cost for the implicit Euler method. The preconditioner is ba...

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 1999

ISSN: 0377-0427

DOI: 10.1016/s0377-0427(99)00132-6