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
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Physical Description:1 online resource (XIV, 418 p.)
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(OCoLC)1376931617
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spelling Sun, Zhi-Zhong, author. aut http://id.loc.gov/vocabulary/relators/aut
Finite Difference Methods for Nonlinear Evolution Equations / Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao.
Berlin ; Boston : De Gruyter, [2023]
©2023
1 online resource (XIV, 418 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Series in Applied and Numerical Mathematics , 2512-1820 ; 8
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 http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Mrz 2024)
Differentialgleichung.
Finite-Differenzen-Methoden.
Finites Element.
Nichtlineare Gleichungen.
MATHEMATICS / Numerical Analysis. bisacsh
Finite Difference Methods, Nonlinear Evolution Equations, Partial Differential Equations,.
China Science Publishing & Media Ltd., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Gao, Guang-hua, author. aut http://id.loc.gov/vocabulary/relators/aut
Zhang, Qifeng, author. aut http://id.loc.gov/vocabulary/relators/aut
Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 9783111175782
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English 9783111319292
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 9783111318912 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 English 9783111319209
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 9783111318608 ZDB-23-DMA
EPUB 9783110796117
print 9783110795851
https://doi.org/10.1515/9783110796018
https://www.degruyter.com/isbn/9783110796018
Cover https://www.degruyter.com/document/cover/isbn/9783110796018/original
language English
format eBook
author Sun, Zhi-Zhong,
Sun, Zhi-Zhong,
Gao, Guang-hua,
Zhang, Qifeng,
spellingShingle Sun, Zhi-Zhong,
Sun, Zhi-Zhong,
Gao, Guang-hua,
Zhang, Qifeng,
Finite Difference Methods for Nonlinear Evolution Equations /
De Gruyter Series in Applied and Numerical Mathematics ,
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
author_facet Sun, Zhi-Zhong,
Sun, Zhi-Zhong,
Gao, Guang-hua,
Zhang, Qifeng,
China Science Publishing & Media Ltd.,
China Science Publishing & Media Ltd.,
Gao, Guang-hua,
Gao, Guang-hua,
Zhang, Qifeng,
Zhang, Qifeng,
author_variant z z s zzs
z z s zzs
g h g ghg
q z qz
author_role VerfasserIn
VerfasserIn
VerfasserIn
VerfasserIn
author2 China Science Publishing & Media Ltd.,
China Science Publishing & Media Ltd.,
Gao, Guang-hua,
Gao, Guang-hua,
Zhang, Qifeng,
Zhang, Qifeng,
author2_variant c s p m l cspml
c s p m l cspml
g h g ghg
q z qz
author2_role MitwirkendeR
MitwirkendeR
VerfasserIn
VerfasserIn
VerfasserIn
VerfasserIn
author_sort Sun, Zhi-Zhong,
title Finite Difference Methods for Nonlinear Evolution Equations /
title_full Finite Difference Methods for Nonlinear Evolution Equations / Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao.
title_fullStr Finite Difference Methods for Nonlinear Evolution Equations / Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao.
title_full_unstemmed Finite Difference Methods for Nonlinear Evolution Equations / Zhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao.
title_auth Finite Difference Methods for Nonlinear Evolution Equations /
title_alt 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
title_new Finite Difference Methods for Nonlinear Evolution Equations /
title_sort finite difference methods for nonlinear evolution equations /
series De Gruyter Series in Applied and Numerical Mathematics ,
series2 De Gruyter Series in Applied and Numerical Mathematics ,
publisher De Gruyter,
publishDate 2023
physical 1 online resource (XIV, 418 p.)
Issued also in print.
contents 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
isbn 9783110796018
9783111175782
9783111319292
9783111318912
9783111319209
9783111318608
9783110796117
9783110795851
issn 2512-1820 ;
url https://doi.org/10.1515/9783110796018
https://www.degruyter.com/isbn/9783110796018
https://www.degruyter.com/document/cover/isbn/9783110796018/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 518 - Numerical analysis
dewey-full 518
dewey-sort 3518
dewey-raw 518
dewey-search 518
doi_str_mv 10.1515/9783110796018
oclc_num 1376931617
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Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023
is_hierarchy_title Finite Difference Methods for Nonlinear Evolution Equations /
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