A semi-implicit mid-point rule for stiff systems of ordinary differential equations
The paper introduces a new semi-implicit extrapolation method especially designed for the numerical solution of stiff systems of ordinary differential equations. The existence of a quadratic asymptotic expansion in terms of the stepsize is shown. Moreover, the new discretization is analyzed in the l...
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| Autori principali: | , |
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| Natura: | Article (Journal) |
| Lingua: | inglese |
| Pubblicazione: |
October 1983
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| In: |
Numerische Mathematik
Year: 1983, Volume: 41, Fascicolo: 3, Pages: 373-398 |
| ISSN: | 0945-3245 |
| DOI: | 10.1007/BF01418331 |
| Accesso online: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/BF01418331
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| Note sull'autore: | G. Bader and P. Deuflhard |
| Riassunto: | The paper introduces a new semi-implicit extrapolation method especially designed for the numerical solution of stiff systems of ordinary differential equations. The existence of a quadratic asymptotic expansion in terms of the stepsize is shown. Moreover, the new discretization is analyzed in the light of well-known stability models. The efficiency of the new integrator is clearly demonstrated by solving a series of challenging test problems including real life examples. |
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| Descrizione del documento: | Gesehen am 09.07.2026 |
| Descrizione fisica: | Online Resource |
| ISSN: | 0945-3245 |
| DOI: | 10.1007/BF01418331 |