Finite Difference Methods for Nonlinear Evolution Equations (De Gruyter Series in Applied and Numerical Mathematics, 8) - Hardcover

Sun, Zhi-Zhong; Zhang, Qifeng; Gao, Guang-hua

 
9783110795851: Finite Difference Methods for Nonlinear Evolution Equations (De Gruyter Series in Applied and Numerical Mathematics, 8)
Hardcover
ISBN 10: 311079585X ISBN 13: 9783110795851
Verlag: De Gruyter, 2023

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Zhi-Zhong Sun, Southeast University; Qifeng Zhang, Zhejiang Sci-Tech University; Guang-hua Gao, Nanjing University, China.

Von der hinteren Coverseite

Nonlinear evolution equations are widely used to describe nonlinear phenomena in nature and social sciences. However, they usually are quite difficult to solve in most instances. This book gives the finite difference methods for solving nonlinear evolution equations. The main numerical analysis tool is the energy method.

This book considers the difference methods for the initial-boundary value problems of twelve nonlinear partial differential equations. They are Fisher equation, Burgers' equation, regular 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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
De Gruyter
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
311079585X
ISBN 13 
9783110795851
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
432
Kontakt zum Hersteller
Walter de Gruyter GmbH
info@degruyter.com

Genthiner Straße 13
Berlin
Berlin
10785
Deutschland