IMEX method convergence for a parabolic equation

Michael Robinson

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arXiv · math/0702483

IMEX method convergence for a parabolic equation

Michael Robinson

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Abstract

Although implicit-explicit (IMEX) methods for approximating solutions to semilinear parabolic equations are relatively standard, most recent works examine the case of a fully discretized model. We show that by discretizing time only, one can obtain an elementary convergence result for an implicit-explicit method. This convergence result is strong enough to imply existence and uniqueness of solutions to a class of semilinear parabolic equations.

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Michael Robinson. 2007-02-16. IMEX method convergence for a parabolic equation. https://arxiv.org/abs/math/0702483

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