Finite difference methods for nonlinear evolution equations:
Nonlinear evolution equations are widely used to describe nonlinear phenomena in natural and social sciences. However, they are usually quite difficult to solve in most instances. This book introduces the finite difference methods for solving nonlinear evolution equations. The main numerical analysi...
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2023]
Science Press |
| Series: | De Gruyter series in applied and numerical mathematics
volume 8 |
| Subjects: | |
| Online Access: | DE-1043 DE-1046 DE-858 DE-859 DE-860 DE-91 DE-20 DE-706 DE-739 Volltext |
| Summary: | Nonlinear evolution equations are widely used to describe nonlinear phenomena in natural and social sciences. However, they are usually quite difficult to solve in most instances. This book introduces the finite difference methods for solving nonlinear evolution equations. The main numerical analysis tool is the energy method. This book covers the difference methods for the initial-boundary value problems of twelve nonlinear partial differential equations. They are Fisher equation, Burgers' equation, regularized long-wave equation, Korteweg-de Vries equation, Camassa-Holm equation, Schrödinger equation, Kuramoto-Tsuzuki equation, Zakharov equation, Ginzburg-Landau equation, Cahn-Hilliard equation, epitaxial growth model and phase field crystal model. This book is a monograph for the graduate students and science researchers majoring in computational mathematics and applied mathematics. It will be also useful to all researchers in related disciplines. |
| Physical Description: | 1 Online-Ressource (XIV, 418 Seiten) |
| ISBN: | 9783110796018 9783110796117 |
| DOI: | 10.1515/9783110796018 |
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| author | Sun, Zhi-zhong 1963- Zhang, Qifeng 1987- Gao, Guang-hua 1985- |
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| discipline_str_mv | Mathematik |
| doi_str_mv | 10.1515/9783110796018 |
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| id | DE-604.BV048930301 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T21:57:01Z |
| indexdate | 2025-02-19T17:37:04Z |
| institution | BVB |
| isbn | 9783110796018 9783110796117 |
| language | English |
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| spelling | Sun, Zhi-zhong 1963- Verfasser (DE-588)1100560432 aut Finite difference methods for nonlinear evolution equations Zhi-Zhong Sun, Qifeng Zhang, and Guang-hua Gao Berlin ; Boston De Gruyter [2023] Science Press © 2023 1 Online-Ressource (XIV, 418 Seiten) txt rdacontent c rdamedia cr rdacarrier De Gruyter series in applied and numerical mathematics volume 8 Nonlinear evolution equations are widely used to describe nonlinear phenomena in natural and social sciences. However, they are usually quite difficult to solve in most instances. This book introduces the finite difference methods for solving nonlinear evolution equations. The main numerical analysis tool is the energy method. This book covers the difference methods for the initial-boundary value problems of twelve nonlinear partial differential equations. They are Fisher equation, Burgers' equation, regularized long-wave equation, Korteweg-de Vries equation, Camassa-Holm equation, Schrödinger equation, Kuramoto-Tsuzuki equation, Zakharov equation, Ginzburg-Landau equation, Cahn-Hilliard equation, epitaxial growth model and phase field crystal model. This book is a monograph for the graduate students and science researchers majoring in computational mathematics and applied mathematics. It will be also useful to all researchers in related disciplines. Differentialgleichung Finite-Differenzen-Methoden Finites Element Nichtlineare Gleichnugan MATHEMATICS / Numerical Analysis bisacsh Zhang, Qifeng 1987- Verfasser (DE-588)1292167025 aut Gao, Guang-hua 1985- Verfasser (DE-588)1217419950 aut Erscheint auch als Druck-Ausgabe 978-3-11-079585-1 De Gruyter series in applied and numerical mathematics volume 8 (DE-604)BV044780808 8 https://doi.org/10.1515/9783110796018 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Sun, Zhi-zhong 1963- Zhang, Qifeng 1987- Gao, Guang-hua 1985- Finite difference methods for nonlinear evolution equations De Gruyter series in applied and numerical mathematics Differentialgleichung Finite-Differenzen-Methoden Finites Element Nichtlineare Gleichnugan MATHEMATICS / Numerical Analysis bisacsh |
| title | Finite difference methods for nonlinear evolution equations |
| title_auth | Finite difference methods for nonlinear evolution equations |
| title_exact_search | Finite difference methods for nonlinear evolution equations |
| title_exact_search_txtP | Finite difference methods for nonlinear evolution equations |
| title_full | Finite difference methods for nonlinear evolution equations Zhi-Zhong Sun, Qifeng Zhang, and Guang-hua Gao |
| title_fullStr | Finite difference methods for nonlinear evolution equations Zhi-Zhong Sun, Qifeng Zhang, and Guang-hua Gao |
| title_full_unstemmed | Finite difference methods for nonlinear evolution equations Zhi-Zhong Sun, Qifeng Zhang, and Guang-hua Gao |
| title_short | Finite difference methods for nonlinear evolution equations |
| title_sort | finite difference methods for nonlinear evolution equations |
| topic | Differentialgleichung Finite-Differenzen-Methoden Finites Element Nichtlineare Gleichnugan MATHEMATICS / Numerical Analysis bisacsh |
| topic_facet | Differentialgleichung Finite-Differenzen-Methoden Finites Element Nichtlineare Gleichnugan MATHEMATICS / Numerical Analysis |
| url | https://doi.org/10.1515/9783110796018 |
| volume_link | (DE-604)BV044780808 |
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