Finite Difference Methods for Nonlinear Evolution Equations /

Finite Difference Methods for Nonlinear Evolution Equations / / Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao.

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 analysi...

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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
VerfasserIn:
Sun, Zhi-Zhong,
Gao, Guang-hua,
Zhang, Qifeng,
MitwirkendeR:
China Science Publishing & Media Ltd.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2023]
©2023
Year of Publication:2023
Language:English
Series:De Gruyter Series in Applied and Numerical Mathematics , 8
Online Access:
Physical Description:1 online resource (XIV, 418 p.)
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100 1 |a Sun, Zhi-Zhong,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Finite Difference Methods for Nonlinear Evolution Equations /  |c Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2023] 
264 4 |c ©2023 
300 |a 1 online resource (XIV, 418 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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490 0 |a De Gruyter Series in Applied and Numerical Mathematics ,  |x 2512-1820 ;  |v 8 
505 0 0 |t Frontmatter --   |t Preface --   |t About the Authors --   |t Contents --   |t 1 Difference methods for the Fisher equation --   |t 2 Difference methods for the Burgers’ equation --   |t 3 Difference methods for the regularized long-wave equation --   |t 4 Difference methods for the Korteweg–de Vries equation --   |t 5 Difference methods for the Camassa–Holm equation --   |t 6 Difference methods for the Schrödinger equation --   |t 7 Difference methods for the Kuramoto–Tsuzuki equation --   |t 8 Difference methods for the Zakharov equation --   |t 9 Difference methods for the Ginzburg–Landau equation --   |t 10 Difference methods for the Cahn–Hilliard equation --   |t 11 Difference methods for the epitaxial growth model --   |t 12 Difference methods for the phase field crystal model --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Mrz 2024) 
650 4 |a Differentialgleichung. 
650 4 |a Finite-Differenzen-Methoden. 
650 4 |a Finites Element. 
650 4 |a Nichtlineare Gleichungen. 
650 7 |a MATHEMATICS / Numerical Analysis.  |2 bisacsh 
653 |a Finite Difference Methods, Nonlinear Evolution Equations, Partial Differential Equations,. 
700 1 |a China Science Publishing & Media Ltd.,   |e contributor.  |4 ctb  |4 https://id.loc.gov/vocabulary/relators/ctb 
700 1 |a Gao, Guang-hua,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Zhang, Qifeng,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t EBOOK PACKAGE Mathematics 2023 English  |z 9783111319209 
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