Method of Difference Potentials and Its Applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2002
|
| Schriftenreihe: | Springer Series in Computational Mathematics
30 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The method of difference potentials (MDP) was proposed in [1]-[8] and sig nificantly developed in [9]-[101] and some other works. The present book describes the current state of the art in the method of difference potentials and is a revised and essentially supplemented version of the author's first book devoted to this method, which was published by "Nauka" in 1987 [100]. This monograph deals with the MDP apparatus and several of its appli cations, particularly to the following problems: 1. the numerical solution ofinterior and exterior boundary-value problems for systems of partial differential equations; 2. the construction of conditions at the artificial boundary ofthe compu tational domain, which equivalently replace the equations and conditions at infinity in stationary problems of gas flowpast immersed bodies as well as in some other steady-state problems; 3. the spectral approach to the construction of artificial boundary con ditions replacing the equations of propagation of physical fields outside the computational domain containing perturbation sources; 4. the construction of artificial boundary conditions on the boundary of the computational domain for numerically solving the scattering problems in large time in a neighborhood of a fixed or a moving scatterer; 5. the statement and solution of stationary mathematical problems of the active shielding of a given subdomain from the influence of perturbation sources located outside the screened subdomain |
| Beschreibung: | 1 Online-Ressource (XVIII, 538 p) |
| ISBN: | 9783642563447 9783642627156 |
| ISSN: | 0179-3632 |
| DOI: | 10.1007/978-3-642-56344-7 |
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Datensatz im Suchindex
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| author | Ryaben’kii, Viktor S. |
| author_facet | Ryaben’kii, Viktor S. |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-56344-7 |
| format | Electronic eBook |
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| id | DE-604.BV042422643 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783642563447 9783642627156 |
| issn | 0179-3632 |
| language | English |
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| spelling | Ryaben’kii, Viktor S. Verfasser aut Method of Difference Potentials and Its Applications by Viktor S. Ryaben’kii Berlin, Heidelberg Springer Berlin Heidelberg 2002 1 Online-Ressource (XVIII, 538 p) txt rdacontent c rdamedia cr rdacarrier Springer Series in Computational Mathematics 30 0179-3632 The method of difference potentials (MDP) was proposed in [1]-[8] and sig nificantly developed in [9]-[101] and some other works. The present book describes the current state of the art in the method of difference potentials and is a revised and essentially supplemented version of the author's first book devoted to this method, which was published by "Nauka" in 1987 [100]. This monograph deals with the MDP apparatus and several of its appli cations, particularly to the following problems: 1. the numerical solution ofinterior and exterior boundary-value problems for systems of partial differential equations; 2. the construction of conditions at the artificial boundary ofthe compu tational domain, which equivalently replace the equations and conditions at infinity in stationary problems of gas flowpast immersed bodies as well as in some other steady-state problems; 3. the spectral approach to the construction of artificial boundary con ditions replacing the equations of propagation of physical fields outside the computational domain containing perturbation sources; 4. the construction of artificial boundary conditions on the boundary of the computational domain for numerically solving the scattering problems in large time in a neighborhood of a fixed or a moving scatterer; 5. the statement and solution of stationary mathematical problems of the active shielding of a given subdomain from the influence of perturbation sources located outside the screened subdomain Mathematics Global analysis (Mathematics) Numerical analysis Numerical Analysis Analysis Theoretical, Mathematical and Computational Physics Mathematik Differenzenpotenzial-Methode (DE-588)4667670-3 gnd rswk-swf Integralgleichung (DE-588)4027229-1 gnd rswk-swf Integralgleichung (DE-588)4027229-1 s Differenzenpotenzial-Methode (DE-588)4667670-3 s 1\p DE-604 https://doi.org/10.1007/978-3-642-56344-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ryaben’kii, Viktor S. Method of Difference Potentials and Its Applications Mathematics Global analysis (Mathematics) Numerical analysis Numerical Analysis Analysis Theoretical, Mathematical and Computational Physics Mathematik Differenzenpotenzial-Methode (DE-588)4667670-3 gnd Integralgleichung (DE-588)4027229-1 gnd |
| subject_GND | (DE-588)4667670-3 (DE-588)4027229-1 |
| title | Method of Difference Potentials and Its Applications |
| title_auth | Method of Difference Potentials and Its Applications |
| title_exact_search | Method of Difference Potentials and Its Applications |
| title_full | Method of Difference Potentials and Its Applications by Viktor S. Ryaben’kii |
| title_fullStr | Method of Difference Potentials and Its Applications by Viktor S. Ryaben’kii |
| title_full_unstemmed | Method of Difference Potentials and Its Applications by Viktor S. Ryaben’kii |
| title_short | Method of Difference Potentials and Its Applications |
| title_sort | method of difference potentials and its applications |
| topic | Mathematics Global analysis (Mathematics) Numerical analysis Numerical Analysis Analysis Theoretical, Mathematical and Computational Physics Mathematik Differenzenpotenzial-Methode (DE-588)4667670-3 gnd Integralgleichung (DE-588)4027229-1 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Numerical analysis Numerical Analysis Analysis Theoretical, Mathematical and Computational Physics Mathematik Differenzenpotenzial-Methode Integralgleichung |
| url | https://doi.org/10.1007/978-3-642-56344-7 |
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