Gauss-Seidel iteration for stiff ODEs from chemical kinetics:
Abstract: "A simple Gauss-Seidel technique is proposed which exploits the special form of the chemical kinetics equations. Classical Aitken extrapolation is applied to accelerate convergence. The technique is meant for implementation in stiff solvers that are used in long range transport air po...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1993
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| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1993,15 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "A simple Gauss-Seidel technique is proposed which exploits the special form of the chemical kinetics equations. Classical Aitken extrapolation is applied to accelerate convergence. The technique is meant for implementation in stiff solvers that are used in long range transport air pollution codes using operator splitting. Splitting necessarily gives rise to a great deal of integration restarts. Because the Gauss-Seidel iteration works matrix free, it has much less overhead than modified Newton. Start-up costs therefore can be kept low with this technique. Promising numerical results are presented for a prototype of a second order BDF solver applied to a stiff ODE from atmospheric chemistry. A favourable comparison with the general purpose BDF code DASSL is included The matrix free technique may also be of interest for other chemically reacting fluid flow problems. |
| Beschreibung: | 9 S. |
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| 100 | 1 | |a Verwer, Jan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Gauss-Seidel iteration for stiff ODEs from chemical kinetics |c J. G. Verwer |
| 264 | 1 | |a Amsterdam |c 1993 | |
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| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |v 1993,15 | |
| 520 | 3 | |a Abstract: "A simple Gauss-Seidel technique is proposed which exploits the special form of the chemical kinetics equations. Classical Aitken extrapolation is applied to accelerate convergence. The technique is meant for implementation in stiff solvers that are used in long range transport air pollution codes using operator splitting. Splitting necessarily gives rise to a great deal of integration restarts. Because the Gauss-Seidel iteration works matrix free, it has much less overhead than modified Newton. Start-up costs therefore can be kept low with this technique. Promising numerical results are presented for a prototype of a second order BDF solver applied to a stiff ODE from atmospheric chemistry. A favourable comparison with the general purpose BDF code DASSL is included | |
| 520 | 3 | |a The matrix free technique may also be of interest for other chemically reacting fluid flow problems. | |
| 650 | 4 | |a Chemical kinetics | |
| 650 | 4 | |a Differential equations | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1993,15 |w (DE-604)BV010177152 |9 1993,15 | |
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Datensatz im Suchindex
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| id | DE-604.BV010188014 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:48:04Z |
| institution | BVB |
| language | English |
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| oclc_num | 31499762 |
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| physical | 9 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
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| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Verwer, Jan Verfasser aut Gauss-Seidel iteration for stiff ODEs from chemical kinetics J. G. Verwer Amsterdam 1993 9 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1993,15 Abstract: "A simple Gauss-Seidel technique is proposed which exploits the special form of the chemical kinetics equations. Classical Aitken extrapolation is applied to accelerate convergence. The technique is meant for implementation in stiff solvers that are used in long range transport air pollution codes using operator splitting. Splitting necessarily gives rise to a great deal of integration restarts. Because the Gauss-Seidel iteration works matrix free, it has much less overhead than modified Newton. Start-up costs therefore can be kept low with this technique. Promising numerical results are presented for a prototype of a second order BDF solver applied to a stiff ODE from atmospheric chemistry. A favourable comparison with the general purpose BDF code DASSL is included The matrix free technique may also be of interest for other chemically reacting fluid flow problems. Chemical kinetics Differential equations Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1993,15 (DE-604)BV010177152 1993,15 |
| spellingShingle | Verwer, Jan Gauss-Seidel iteration for stiff ODEs from chemical kinetics Chemical kinetics Differential equations |
| title | Gauss-Seidel iteration for stiff ODEs from chemical kinetics |
| title_auth | Gauss-Seidel iteration for stiff ODEs from chemical kinetics |
| title_exact_search | Gauss-Seidel iteration for stiff ODEs from chemical kinetics |
| title_full | Gauss-Seidel iteration for stiff ODEs from chemical kinetics J. G. Verwer |
| title_fullStr | Gauss-Seidel iteration for stiff ODEs from chemical kinetics J. G. Verwer |
| title_full_unstemmed | Gauss-Seidel iteration for stiff ODEs from chemical kinetics J. G. Verwer |
| title_short | Gauss-Seidel iteration for stiff ODEs from chemical kinetics |
| title_sort | gauss seidel iteration for stiff odes from chemical kinetics |
| topic | Chemical kinetics Differential equations |
| topic_facet | Chemical kinetics Differential equations |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT verwerjan gaussseideliterationforstiffodesfromchemicalkinetics |