Suppression of inherent instabilities in initial value methods
| Autor: | D Dobrott, T.S Wang |
|---|---|
| Rok vydání: | 1978 |
| Předmět: |
Physics
Numerical Analysis Physics and Astronomy (miscellaneous) Differential equation Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS Mode (statistics) Fluid mechanics Computer Science Applications Computational Mathematics Modeling and Simulation Ordinary differential equation Tearing Range (statistics) Applied mathematics Initial value problem Statistical physics Magnetohydrodynamics |
| Zdroj: | Journal of Computational Physics. 29:93-100 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/0021-9991(78)90111-0 |
| Popis: | A simple integration method is presented that mitigates inherent instabilities in certain ordinary differential equations. These instabilities occur for initial value problems or for problems of infinite range where initial value methods are required. Our technique uses a modified initial value method that employees a restart scheme. The restart values for the dependent variables are found by the Newton-Raphson technique. The method is applied to the “tearing mode” equations of resistive magnetohydrodynamics. Accuracy to six places is achieved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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