Doubly quasi-consistent parallel explicit peer methods with built-in global error estimation (Q847188)
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scientific article; zbMATH DE number 5669160
| Language | Label | Description | Also known as |
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| English | Doubly quasi-consistent parallel explicit peer methods with built-in global error estimation |
scientific article; zbMATH DE number 5669160 |
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Doubly quasi-consistent parallel explicit peer methods with built-in global error estimation (English)
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12 February 2010
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The first author has recently introduced the concept of quasi-consistency [J. Comput. Appl. Math. 225, No. 1, 268--287 (2009; Zbl 1163.65058)] for numerical integration of ODEs. In the present work it is proven that there really are schemes in the class of quasi-consistent methods and a first example is analysed. It turns out that this scheme belongs to the family of superconvergent explicit two-step peer methods constructed by Weiner, Schmitt, Podhaisky and Jebens. Numerical examples are given.
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doubly quasi-consistent numerical schemes
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superconvergence
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embedded formulas
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