Solving parabolic integro-differential equations by an explicit integration method:
Abstract: "The subject of this note is the numerical integration in time of nonclassical parabolic initial-boundary value problems which involve nonlocal integral terms over the spatial domain. The integral terms may appear in the boundary conditions and/or in the governing partial differential...
Gespeichert in:
| Hauptverfasser: | , |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
1991
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| Schriftenreihe: | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM
1991,8 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "The subject of this note is the numerical integration in time of nonclassical parabolic initial-boundary value problems which involve nonlocal integral terms over the spatial domain. The integral terms may appear in the boundary conditions and/or in the governing partial differential equation itself. These terms generally complicate the application of standard methods. Our purpose here is to draw attention to an explicit method, the Runge-Kutta-Chebyshev method, whose application remains straightforward in many cases of practical interest. We discuss two numerical examples to illustrate this. A comparison is made, respectively, with the implicit BDF code DASSL and with the Keller-box scheme." |
| Beschreibung: | 11 S. |
Internformat
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| 100 | 1 | |a Vasudeva Murthy, A. S. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Solving parabolic integro-differential equations by an explicit integration method |c A. S. Vasudeva Murthy ; J. G. Verwer |
| 264 | 1 | |a Amsterdam |c 1991 | |
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| 490 | 1 | |a Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |v 1991,8 | |
| 520 | 3 | |a Abstract: "The subject of this note is the numerical integration in time of nonclassical parabolic initial-boundary value problems which involve nonlocal integral terms over the spatial domain. The integral terms may appear in the boundary conditions and/or in the governing partial differential equation itself. These terms generally complicate the application of standard methods. Our purpose here is to draw attention to an explicit method, the Runge-Kutta-Chebyshev method, whose application remains straightforward in many cases of practical interest. We discuss two numerical examples to illustrate this. A comparison is made, respectively, with the implicit BDF code DASSL and with the Keller-box scheme." | |
| 650 | 4 | |a Differential equations, Partial | |
| 700 | 1 | |a Verwer, Jan |e Verfasser |4 aut | |
| 810 | 2 | |a Afdeling Numerieke Wiskunde: Report NM |t Centrum voor Wiskunde en Informatica <Amsterdam> |v 1991,8 |w (DE-604)BV010177152 |9 1991,8 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006764851 | ||
Datensatz im Suchindex
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| author | Vasudeva Murthy, A. S. Verwer, Jan |
| author_facet | Vasudeva Murthy, A. S. Verwer, Jan |
| author_role | aut aut |
| author_sort | Vasudeva Murthy, A. S. |
| author_variant | m a s v mas masv j v jv |
| building | Verbundindex |
| bvnumber | BV010183088 |
| ctrlnum | (OCoLC)25511842 (DE-599)BVBBV010183088 |
| format | Book |
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| id | DE-604.BV010183088 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:47:58Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006764851 |
| oclc_num | 25511842 |
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| physical | 11 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| record_format | marc |
| series2 | Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM |
| spelling | Vasudeva Murthy, A. S. Verfasser aut Solving parabolic integro-differential equations by an explicit integration method A. S. Vasudeva Murthy ; J. G. Verwer Amsterdam 1991 11 S. txt rdacontent n rdamedia nc rdacarrier Centrum voor Wiskunde en Informatica <Amsterdam> / Afdeling Numerieke Wiskunde: Report NM 1991,8 Abstract: "The subject of this note is the numerical integration in time of nonclassical parabolic initial-boundary value problems which involve nonlocal integral terms over the spatial domain. The integral terms may appear in the boundary conditions and/or in the governing partial differential equation itself. These terms generally complicate the application of standard methods. Our purpose here is to draw attention to an explicit method, the Runge-Kutta-Chebyshev method, whose application remains straightforward in many cases of practical interest. We discuss two numerical examples to illustrate this. A comparison is made, respectively, with the implicit BDF code DASSL and with the Keller-box scheme." Differential equations, Partial Verwer, Jan Verfasser aut Afdeling Numerieke Wiskunde: Report NM Centrum voor Wiskunde en Informatica <Amsterdam> 1991,8 (DE-604)BV010177152 1991,8 |
| spellingShingle | Vasudeva Murthy, A. S. Verwer, Jan Solving parabolic integro-differential equations by an explicit integration method Differential equations, Partial |
| title | Solving parabolic integro-differential equations by an explicit integration method |
| title_auth | Solving parabolic integro-differential equations by an explicit integration method |
| title_exact_search | Solving parabolic integro-differential equations by an explicit integration method |
| title_full | Solving parabolic integro-differential equations by an explicit integration method A. S. Vasudeva Murthy ; J. G. Verwer |
| title_fullStr | Solving parabolic integro-differential equations by an explicit integration method A. S. Vasudeva Murthy ; J. G. Verwer |
| title_full_unstemmed | Solving parabolic integro-differential equations by an explicit integration method A. S. Vasudeva Murthy ; J. G. Verwer |
| title_short | Solving parabolic integro-differential equations by an explicit integration method |
| title_sort | solving parabolic integro differential equations by an explicit integration method |
| topic | Differential equations, Partial |
| topic_facet | Differential equations, Partial |
| volume_link | (DE-604)BV010177152 |
| work_keys_str_mv | AT vasudevamurthyas solvingparabolicintegrodifferentialequationsbyanexplicitintegrationmethod AT verwerjan solvingparabolicintegrodifferentialequationsbyanexplicitintegrationmethod |