Integration of Equations of Parabolic Type by the Method of Nets: International Series of Monographs in Pure and Applied Mathematics
International Series of Monographs in Pure and Applied Mathematics, Volume 54: Integration of Equations of Parabolic Type by the Method of Nets deals with solving parabolic partial differential equations using the method of nets. The first part of this volume focuses on the construction of net equat...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Elsevier Science
2014
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| Schriftenreihe: | International Series in Pure and Applied Mathematics
v.54 |
| Schlagworte: | |
| Online-Zugang: | FAW01 |
| Zusammenfassung: | International Series of Monographs in Pure and Applied Mathematics, Volume 54: Integration of Equations of Parabolic Type by the Method of Nets deals with solving parabolic partial differential equations using the method of nets. The first part of this volume focuses on the construction of net equations, with emphasis on the stability and accuracy of the approximating net equations. The method of nets or method of finite differences (used to define the corresponding numerical method in ordinary differential equations) is one of many different approximate methods of integration of partial differential equations. The other methods, and some based on newer equations, are described. By analyzing these newer methods, older and existing methods are evaluated. For example, the asymmetric net equations; the alternating method of using certain equations; and the method of mean arithmetic and multi-nodal symmetric method point out that when the accuracy needs to be high, the requirements for stability become more defined. The methods discussed are very theoretical and methodological. The second part of the book concerns the practical numerical solution of the equations posed in Part I. Emphasis is on the commonly used iterative methods that are programmable on computers. This book is suitable for statisticians and numerical analysts and is also recommended for scientists and engineers with general mathematical knowledge |
| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | 1 online resource (365 pages) |
| ISBN: | 9781483155326 9780080101958 |
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| 520 | |a International Series of Monographs in Pure and Applied Mathematics, Volume 54: Integration of Equations of Parabolic Type by the Method of Nets deals with solving parabolic partial differential equations using the method of nets. The first part of this volume focuses on the construction of net equations, with emphasis on the stability and accuracy of the approximating net equations. The method of nets or method of finite differences (used to define the corresponding numerical method in ordinary differential equations) is one of many different approximate methods of integration of partial differential equations. The other methods, and some based on newer equations, are described. By analyzing these newer methods, older and existing methods are evaluated. For example, the asymmetric net equations; the alternating method of using certain equations; and the method of mean arithmetic and multi-nodal symmetric method point out that when the accuracy needs to be high, the requirements for stability become more defined. The methods discussed are very theoretical and methodological. The second part of the book concerns the practical numerical solution of the equations posed in Part I. Emphasis is on the commonly used iterative methods that are programmable on computers. This book is suitable for statisticians and numerical analysts and is also recommended for scientists and engineers with general mathematical knowledge | ||
| 650 | 4 | |a Differential equations, Partial -- Numerical solutions | |
| 650 | 4 | |a Nets (Mathematics) | |
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Datensatz im Suchindex
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| author | Saulʹev, Vladislav Klimentʹevič 1924- |
| author_GND | (DE-588)1068386606 (DE-588)121675343 (DE-588)119103281 |
| author_facet | Saulʹev, Vladislav Klimentʹevič 1924- |
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| author_sort | Saulʹev, Vladislav Klimentʹevič 1924- |
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| dewey-full | 515.353 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.353 |
| dewey-search | 515.353 |
| dewey-sort | 3515.353 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043616456 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:30:55Z |
| institution | BVB |
| isbn | 9781483155326 9780080101958 |
| language | English |
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| publisher | Elsevier Science |
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| series | International Series in Pure and Applied Mathematics |
| series2 | International Series in Pure and Applied Mathematics |
| spelling | Saulʹev, Vladislav Klimentʹevič 1924- Verfasser (DE-588)1068386606 aut Integration of Equations of Parabolic Type by the Method of Nets International Series of Monographs in Pure and Applied Mathematics London Elsevier Science 2014 © 1964 1 online resource (365 pages) txt rdacontent c rdamedia cr rdacarrier International Series in Pure and Applied Mathematics v.54 Description based on publisher supplied metadata and other sources International Series of Monographs in Pure and Applied Mathematics, Volume 54: Integration of Equations of Parabolic Type by the Method of Nets deals with solving parabolic partial differential equations using the method of nets. The first part of this volume focuses on the construction of net equations, with emphasis on the stability and accuracy of the approximating net equations. The method of nets or method of finite differences (used to define the corresponding numerical method in ordinary differential equations) is one of many different approximate methods of integration of partial differential equations. The other methods, and some based on newer equations, are described. By analyzing these newer methods, older and existing methods are evaluated. For example, the asymmetric net equations; the alternating method of using certain equations; and the method of mean arithmetic and multi-nodal symmetric method point out that when the accuracy needs to be high, the requirements for stability become more defined. The methods discussed are very theoretical and methodological. The second part of the book concerns the practical numerical solution of the equations posed in Part I. Emphasis is on the commonly used iterative methods that are programmable on computers. This book is suitable for statisticians and numerical analysts and is also recommended for scientists and engineers with general mathematical knowledge Differential equations, Partial -- Numerical solutions Nets (Mathematics) Sneddon, Ian Naismith 1919-2000 Sonstige (DE-588)121675343 oth Stark, M. Sonstige oth Ulam, Stanisław M. 1909-1984 Sonstige (DE-588)119103281 oth Erscheint auch als Druck-Ausgabe Saul'Yev, V K.. Integration of Equations of Parabolic Type by the Method of Nets : International Series of Monographs in Pure and Applied Mathematics International Series in Pure and Applied Mathematics v.54 (DE-604)BV024976318 54 |
| spellingShingle | Saulʹev, Vladislav Klimentʹevič 1924- Integration of Equations of Parabolic Type by the Method of Nets International Series of Monographs in Pure and Applied Mathematics International Series in Pure and Applied Mathematics Differential equations, Partial -- Numerical solutions Nets (Mathematics) |
| title | Integration of Equations of Parabolic Type by the Method of Nets International Series of Monographs in Pure and Applied Mathematics |
| title_auth | Integration of Equations of Parabolic Type by the Method of Nets International Series of Monographs in Pure and Applied Mathematics |
| title_exact_search | Integration of Equations of Parabolic Type by the Method of Nets International Series of Monographs in Pure and Applied Mathematics |
| title_full | Integration of Equations of Parabolic Type by the Method of Nets International Series of Monographs in Pure and Applied Mathematics |
| title_fullStr | Integration of Equations of Parabolic Type by the Method of Nets International Series of Monographs in Pure and Applied Mathematics |
| title_full_unstemmed | Integration of Equations of Parabolic Type by the Method of Nets International Series of Monographs in Pure and Applied Mathematics |
| title_short | Integration of Equations of Parabolic Type by the Method of Nets |
| title_sort | integration of equations of parabolic type by the method of nets international series of monographs in pure and applied mathematics |
| title_sub | International Series of Monographs in Pure and Applied Mathematics |
| topic | Differential equations, Partial -- Numerical solutions Nets (Mathematics) |
| topic_facet | Differential equations, Partial -- Numerical solutions Nets (Mathematics) |
| volume_link | (DE-604)BV024976318 |
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