Efficient second derivative methods with extended stability regions for non-stiff IVPs
| Autor: | Ali Abdi, Gholamreza Hojjati, N. Barghi Oskouie |
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| Rok vydání: | 2017 |
| Předmět: |
Applied Mathematics
Mathematical analysis Mode (statistics) 010103 numerical & computational mathematics Adaptive stepsize 01 natural sciences Stability (probability) Mathematics::Numerical Analysis 010101 applied mathematics Computational Mathematics General linear methods Order (group theory) 0101 mathematics Absolute stability Mathematics Second derivative Variable (mathematics) |
| Zdroj: | Computational and Applied Mathematics. 37:2001-2016 |
| ISSN: | 1807-0302 0101-8205 |
| Popis: | We describe the construction of explicit Nordsieck sequential second derivative general linear methods with a large region of absolute stability. The constructed methods are of order $$p=q=s$$ , where q and s are the stage order and the number of internal stages, respectively. To compare, we also construct methods in this class which possess Runge–Kutta stability property. Implementation of the constructed methods in a variable stepsize mode is discussed and efficiency of these methods is verified by some numerical experiments in fixed and variable stepsize environment. |
| Databáze: | OpenAIRE |
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