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Optimal accuracy of unconditionally stable explicit numerical methods for nonlinear evolution PDE's

✍ Scribed by E.E. Rosinger

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 286 KB
Volume: 7
Category: Article
ISSN: 0893-9659
DOI: 10.1016/0893-9659(94)90082-5

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✦ Synopsis

Unconditionally stable explicit numerical methods for a large class of nonlmear evolution PDEs were introduced in [I], based on a nonlinear smoothing, that is, a simultaneous filtering and defiltering. The optimization of the accuracy of these numerical methods through an appropriate choice of the smoothing was first approached in [2]. Here, we present further details of this optimal accuracy and compare them with recent results of B. Fornberg.

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