Convergence of a splitting method of high order for reaction-diffusion systems

Descombes, Stéphane

doi:10.1090/S0025-5718-00-01277-1

Convergence of a splitting method of high order for reaction-diffusion systems
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Math. Comp. 70 (2001), 1481-1501 Request permission

Abstract:

In this article, we prove the convergence of a splitting scheme of high order for a reaction-diffusion system of the form $u_t-M\Delta u +F(u)=0$ where $M$ is an $m \times m$ matrix whose spectrum is included in $\{{\mathfrak {R}} z > 0 \}$. This scheme is obtained by applying a Richardson extrapolation to a Strang formula.

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