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Finite Difference Methods for Nonlinear Evolution Equations

Zhi-zhong Sun, Qifeng Zhang, Guang-hua Gao (Autoren)

Buch | Hardcover

XIV, 418 Seiten

2023
De Gruyter (Verlag)
978-3-11-079585-1 (ISBN)

Lese- und Medienproben

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The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the whole spectrum of applied mathematics, including its numerical aspects. The focus of the series is on the interplay between mathematical and numerical analysis, and also on its applications to mathematical models in the physical and life sciences.

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.

lt;p>Zhi-zhong Sun, Southeast University, China

Erscheinungsdatum	04.04.2023
Reihe/Serie	De Gruyter Series in Applied and Numerical Mathematics ; 8
Co-Autor	China Science Publishing & Media Ltd.
Zusatzinfo	11 b/w ill.
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Gewicht	846 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Differentialgleichung • finite difference methods • Finite Difference Methods, Nonlinear Evolution Equations, Partial Differential Equations, • Finite-Differenzen-Methoden • Finites Element • Nichtlineare Gleichnugan • nichtlineare Gleichungen • nonlinear evolution equations • Partial differential equations
ISBN-10	3-11-079585-X / 311079585X
ISBN-13	978-3-11-079585-1 / 9783110795851
Zustand	Neuware