Finite Difference Methods for Nonlinear Evolution Equations - Rilegato

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

Rilegato

ISBN 10: 311079585X ISBN 13: 9783110795851

Casa editrice: De Gruyter, 2023

Riassunto

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.

Su questo libro

Informazioni sull?autore

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

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: De Gruyter
• Data di pubblicazione: 2023
• Lingua: Inglese
• ISBN 10: 311079585X
• ISBN 13: 9783110795851
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 416
• Contatto del produttore: Walter de Gruyter GmbH; info@degruyter.com; ; Genthiner Straße 13; Berlin; Berlin; 10785; Germania