Numerical solution of differential equations: introduction to finite difference and finite element methods
This introduction to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. The prerequisites are few (basic calculus, linear algebra, and ODEs) and so the book will be accessible and useful to readers from a range of disciplines across s...
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Weitere beteiligte Personen: | , |
Format: | E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Cambridge
Cambridge University Press
2018
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Links: | https://doi.org/10.1017/9781316678725 |
Zusammenfassung: | This introduction to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. The prerequisites are few (basic calculus, linear algebra, and ODEs) and so the book will be accessible and useful to readers from a range of disciplines across science and engineering. Part I begins with finite difference methods. Finite element methods are then introduced in Part II. In each part, the authors begin with a comprehensive discussion of one-dimensional problems, before proceeding to consider two or higher dimensions. An emphasis is placed on numerical algorithms, related mathematical theory, and essential details in the implementation, while some useful packages are also introduced. The authors also provide well-tested MATLAB® codes, all available online. |
Umfang: | 1 Online-Ressource (ix, 293 Seiten) |
ISBN: | 9781316678725 |
Internformat
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100 | 1 | |a Li, Zhilin |d 1956- | |
245 | 1 | 0 | |a Numerical solution of differential equations |b introduction to finite difference and finite element methods |c Zhilin Li, Zhonghua Qiao, Tao Tang |
264 | 1 | |a Cambridge |b Cambridge University Press |c 2018 | |
300 | |a 1 Online-Ressource (ix, 293 Seiten) | ||
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520 | |a This introduction to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. The prerequisites are few (basic calculus, linear algebra, and ODEs) and so the book will be accessible and useful to readers from a range of disciplines across science and engineering. Part I begins with finite difference methods. Finite element methods are then introduced in Part II. In each part, the authors begin with a comprehensive discussion of one-dimensional problems, before proceeding to consider two or higher dimensions. An emphasis is placed on numerical algorithms, related mathematical theory, and essential details in the implementation, while some useful packages are also introduced. The authors also provide well-tested MATLAB® codes, all available online. | ||
700 | 1 | |a Qiao, Zhonghua | |
700 | 1 | |a Tang, Tao | |
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spelling | Li, Zhilin 1956- Numerical solution of differential equations introduction to finite difference and finite element methods Zhilin Li, Zhonghua Qiao, Tao Tang Cambridge Cambridge University Press 2018 1 Online-Ressource (ix, 293 Seiten) txt c cr This introduction to finite difference and finite element methods is aimed at graduate students who need to solve differential equations. The prerequisites are few (basic calculus, linear algebra, and ODEs) and so the book will be accessible and useful to readers from a range of disciplines across science and engineering. Part I begins with finite difference methods. Finite element methods are then introduced in Part II. In each part, the authors begin with a comprehensive discussion of one-dimensional problems, before proceeding to consider two or higher dimensions. An emphasis is placed on numerical algorithms, related mathematical theory, and essential details in the implementation, while some useful packages are also introduced. The authors also provide well-tested MATLAB® codes, all available online. Qiao, Zhonghua Tang, Tao Erscheint auch als Druck-Ausgabe 9781107163225 Erscheint auch als Druck-Ausgabe 9781316615102 |
spellingShingle | Li, Zhilin 1956- Numerical solution of differential equations introduction to finite difference and finite element methods |
title | Numerical solution of differential equations introduction to finite difference and finite element methods |
title_auth | Numerical solution of differential equations introduction to finite difference and finite element methods |
title_exact_search | Numerical solution of differential equations introduction to finite difference and finite element methods |
title_full | Numerical solution of differential equations introduction to finite difference and finite element methods Zhilin Li, Zhonghua Qiao, Tao Tang |
title_fullStr | Numerical solution of differential equations introduction to finite difference and finite element methods Zhilin Li, Zhonghua Qiao, Tao Tang |
title_full_unstemmed | Numerical solution of differential equations introduction to finite difference and finite element methods Zhilin Li, Zhonghua Qiao, Tao Tang |
title_short | Numerical solution of differential equations |
title_sort | numerical solution of differential equations introduction to finite difference and finite element methods |
title_sub | introduction to finite difference and finite element methods |
work_keys_str_mv | AT lizhilin numericalsolutionofdifferentialequationsintroductiontofinitedifferenceandfiniteelementmethods AT qiaozhonghua numericalsolutionofdifferentialequationsintroductiontofinitedifferenceandfiniteelementmethods AT tangtao numericalsolutionofdifferentialequationsintroductiontofinitedifferenceandfiniteelementmethods |