TY  - BOOK
AU  - Sun,Zhi-Zhong
AU  - Zhang,Qifeng
AU  - Gao,Guang-hua
TI  - Finite Difference Methods for Nonlinear Evolution Equations
T2  - De Gruyter Series in Applied and Numerical Mathematics ,
SN  - 9783110796018
PY  - 2023///]
CY  - Berlin, Boston
PB  - De Gruyter, 
KW  - MATHEMATICS / General
KW  - bisacsh
KW  - MATHEMATICS / Differential Equations / General
KW  - MATHEMATICS / Mathematical Analysis
KW  - MATHEMATICS / Numerical Analysis
KW  - Finites Element
KW  - Finite-Differenzen-Methoden
KW  - Nichtlineare Gleichungen
KW  - Differentialgleichung
KW  - Finite Difference Methods
KW  - Nonlinear Evolution Equations
KW  - Partial Differential Equations
KW  - Finite Difference Methods, Nonlinear Evolution Equations, Partial Differential Equations
N1  - Frontmatter --; Preface --; About the Authors --; Contents --; 1 Difference methods for the Fisher equation --; 2 Difference methods for the Burgers' equation --; 3 Difference methods for the regularized long-wave equation --; 4 Difference methods for the Korteweg-de Vries equation --; 5 Difference methods for the Camassa-Holm equation --; 6 Difference methods for the Schrödinger equation --; 7 Difference methods for the Kuramoto-Tsuzuki equation --; 8 Difference methods for the Zakharov equation --; 9 Difference methods for the Ginzburg-Landau equation --; 10 Difference methods for the Cahn-Hilliard equation --; 11 Difference methods for the epitaxial growth model --; 12 Difference methods for the phase field crystal model --; Bibliography --; Index; restricted access; Issued also in print
N2  - 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
UR  - https://www.degruyterbrill.com/isbn/9783110796018
UR  - https://www.degruyterbrill.com/document/cover/isbn/9783110796018/original
ER  -