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Explicit Nordsieck methods with extended stability regions |
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| Authors: | Z. Bartoszewski Z. Jackiewicz |
| Affiliation: | a Department of Applied Physics and Mathematics, Gdańsk University of Technology, 80-233 Gdańsk, Poland b Department of Mathematics, Arizona State University, Tempe, AZ 85287, USA c Department of Applied Mathematics, AGH University of Science and Technology, 30-059 Kraków, Poland |
| Abstract: | We describe the construction of explicit Nordsieck methods of order p and stage order q = p with large regions of absolute stability. We also discuss error propagation and estimation of local discretization errors. The error estimators are derived for examples of general linear methods constructed in this paper. Some numerical experiments are presented which illustrate the effectiveness of proposed methods. |
| Keywords: | Explicit Nordsieck methods General linear methods Order conditions Region of absolute stability |
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