Testing the Multi-Step Single-Stage Method on Stiff Problems
| Autor: | A. Yu. Doroshenko, V. A. Prusov |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
021103 operations research
General Computer Science Computational stability Computer science Single stage 010102 general mathematics 0211 other engineering and technologies 02 engineering and technology System of linear equations 01 natural sciences Stiff equation Range (mathematics) Applied mathematics 0101 mathematics Absolute stability |
| Zdroj: | Cybernetics and Systems Analysis. 56:81-88 |
| ISSN: | 1573-8337 1060-0396 |
| DOI: | 10.1007/s10559-020-00223-y |
| Popis: | A multi-step single-stage method is considered, which allows one to integrate stiff differential equations and systems of equations with high accuracy and low computational costs. The examples show that the proposed method is in solving stiff problems as good as the best available methods. The calculation results allow us to determine the absolute stability domains for the multi-step single-stage method, where it is possible to vary integration step within a wide range while maintaining the computational stability of the method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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