Verfügbarkeit: Finite difference methods for nonlinear evolution equations

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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Hauptverfasser:	Sun, Zhi-zhong 1963- (VerfasserIn), Zhang, Qifeng 1987- (VerfasserIn), Gao, Guang-hua 1985- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Berlin ; Boston De Gruyter [2023] Science Press
Schriftenreihe:	De Gruyter series in applied and numerical mathematics volume 8
Schlagworte:	Differentialgleichung Finite-Differenzen-Methoden Finites Element Nichtlineare Gleichnugan MATHEMATICS / Numerical Analysis
Online-Zugang:	FAB01 FAW01 FCO01 FHA01 FKE01 FLA01 TUM01 UBW01 UBY01 UPA01 Volltext
Zusammenfassung:	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.
Beschreibung:	1 Online-Ressource (XIV, 418 Seiten)
ISBN:	9783110796018 9783110796117
DOI:	10.1515/9783110796018

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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
work_keys_str_mv	AT sunzhizhong finitedifferencemethodsfornonlinearevolutionequations AT zhangqifeng finitedifferencemethodsfornonlinearevolutionequations AT gaoguanghua finitedifferencemethodsfornonlinearevolutionequations

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