Finite difference methods for nonlinear evolution equations
著者
書誌事項
Finite difference methods for nonlinear evolution equations
（De Gruyter series in applied and numerical mathematics / Rémi Abgrall...[et al.], 8）
De Gruyter , Science press, c2023
- :hbk
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注記
Includes bibliographical references (p.[411]-413) and indes
内容説明・目次
内容説明
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, Schroedinger 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.
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