On error bounds of finite difference approximations to partial differential equations - temporal behavior and rate of convergence

Saul Abarbanel, Adi Ditkowski, and Bertil Gustafsson

September 2000

Abstract:

This paper considers a family of spatially semi-discrete approximations, including boundary treatments, to hyperbolic and parabolic equations. We derive the dependence of the error-bounds on time as well as on mesh size.

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