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Explicit single step methods with optimal order of convergence for partial differential equations

✍ Scribed by Isaı́as Alonso-Mallo

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
117 KB
Volume
31
Category
Article
ISSN
0168-9274

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✦ Synopsis

We construct explicit single step discretizations of linear, non-homogeneous initial boundary value problems. These methods use polynomial approximations for the time discretization. The order reduction phenomenon, present when a fully discrete Runge-Kutta is used, is avoided and the maximum expected order of convergence is achieved. The results are illustrated numerically.

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