000 06452nam a2201021 4500
001 9783110796018
003 DE-B1597
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006 m|||||o||d||||||||
007 cr || ||||||||
008 260303s2023 gw fo d z eng d
020 _a9783110796018
024 7 _a10.1515/9783110796018
_2doi
035 _a(DE-B1597)626128
035 _z(OCoLC)1376931617
040 _aDE-B1597
_beng
_cDE-B1597
_erda
041 0 _aeng
044 _agw
_cDE
072 7 _aMAT
_x000000
_2bisacsh
072 7 _aMAT
_x007000
_2bisacsh
072 7 _aMAT
_x034000
_2bisacsh
072 7 _aMAT
_x041000
_2bisacsh
100 1 _aSun, Zhi-Zhong,
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 0 0 _aFinite Difference Methods for Nonlinear Evolution Equations
_cZhi-Zhong Sun, Qifeng Zhang, Guang-hua Gao, China Science Publishing & Media Ltd..
264 1 _aBerlin
_aBoston
_bDe Gruyter,
_c[2023]
264 4 _c©2023
300 _a1 online resource (XIV, 418 p.)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 0 _aDe Gruyter Series in Applied and Numerical Mathematics ,
_x2512-1820 ;
_v8
505 0 0 _tFrontmatter --
_tPreface --
_tAbout the Authors --
_tContents --
_t1 Difference methods for the Fisher equation --
_t2 Difference methods for the Burgers' equation --
_t3 Difference methods for the regularized long-wave equation --
_t4 Difference methods for the Korteweg-de Vries equation --
_t5 Difference methods for the Camassa-Holm equation --
_t6 Difference methods for the Schrödinger equation --
_t7 Difference methods for the Kuramoto-Tsuzuki equation --
_t8 Difference methods for the Zakharov equation --
_t9 Difference methods for the Ginzburg-Landau equation --
_t10 Difference methods for the Cahn-Hilliard equation --
_t11 Difference methods for the epitaxial growth model --
_t12 Difference methods for the phase field crystal model --
_tBibliography --
_tIndex
506 0 _arestricted access
_uhttp://purl.org/coar/access_right/c_16ec
_fonline access with authorization
_2star
520 _aNonlinear 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 _aIssued also in print.
532 8 _aThe accessibility of this resources in unknown or unassessed.
538 _aMode of access: Internet via World Wide Web.
545 _aZhi-Zhong Sun, Southeast University; Qifeng Zhang, Zhejiang Sci-Tech University; Guang-hua Gao, Nanjing University, China.
546 _aIn English.
588 0 _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed March 03 2026)
650 7 _aMATHEMATICS / General.
_2bisacsh
650 7 _aMATHEMATICS / Differential Equations / General.
_2bisacsh
650 7 _aMATHEMATICS / Mathematical Analysis.
_2bisacsh
650 7 _aMATHEMATICS / Numerical Analysis.
_2bisacsh
653 0 _aFinites Element
653 0 _aFinite-Differenzen-Methoden
653 0 _aNichtlineare Gleichungen
653 0 _aDifferentialgleichung
653 0 _aFinite Difference Methods
653 0 _aNonlinear Evolution Equations
653 0 _aPartial Differential Equations
653 0 _aFinite Difference Methods, Nonlinear Evolution Equations, Partial Differential Equations,
700 1 _aZhang, Qifeng,
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aGao, Guang-hua,
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
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