MARC Record from marc_columbia

LEADER: 04600fam a22004214a 4500
001 2431047
005 20220616043609.0
008 991004t20002000nyua b 001 0 eng
010 $a 99051331
020 $a0824703308 (alk. paper)
035 $a(OCoLC)42603393
035 $a(OCoLC)ocm42603393
035 $9APX6970CU
035 $a(NNC)2431047
035 $a2431047
040 $aDLC$cDLC$dNNC$dOrLoB-B
042 $apcc
050 00 $aQA431$b.L575 2000
082 00 $a515/.353$221
100 1 $aLi, Ronghua.$0http://id.loc.gov/authorities/names/n85139749
245 10 $aGeneralized difference methods for differential equations :$bnumerical analysis of finite volume methods /$cRonghua Li, Zhongying Chen, Wei Wu.
260 $aNew York :$bM. Dekker,$c[2000], ©2000.
263 $a9912
300 $axv, 442 pages :$billustrations ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aMonographs and textbooks in pure and applied mathematics ;$vv. 226
504 $aIncludes bibliographical references and index.
505 00 $g1.$tPreliminaries.$g1.1.$tSobolev Spaces.$g1.2.$tVariational Problems and Their Approximations --$g2.$tTwo Point Boundary Value Problems.$g2.1.$tBasic Ideas of the Generalized Difference Method.$g2.2.$tLinear Element Difference Schemes.$g2.3.$tQuadratic Element Difference Schemes.$g2.4.$tCubic Element Difference Schemes.$g2.5.$tEstimates in L[superscrit 2] and Maximum Norms.$g2.6.$tSuperconvergence.$g2.7.$tGeneralized Difference Methods for a Fourth Order Equation --$g3.$tSecond Order Elliptic Equations.$g3.2.$tGeneralized Difference Methods on Triangular Meshes.$g3.3.$tGeneralized Difference Methods on Quadrilateral Meshes.$g3.4.$tQuadratic Element Difference Schemes.$g3.5.$tCubic Element Difference Schemes.$g3.6.$tL[superscript 2] and Maximum Norm Estimates.$g3.7.$tSuperconvergences --$g4.$tFourth Order and Nonlinear Elliptic Equations.$g4.1.$tMixed Generalized Difference Methods Based on Ciarlet-Raviart Variational Principle.
505 80 $g4.2.$tMixed Generalized Difference Methods Based on Hermann-Miyoshi Variational Principle.$g4.3.$tNonconforming Generalized Difference Method Based on Zienkiewicz Elements.$g4.4.$tNonconforming Generalized Difference Methods Based on Adini Elements.$g4.5.$tSecond Order Nonlinear Elliptic Equations --$g5.$tParabolic Equations.$g5.1.$tSemi-discrete Generalized Difference Schemes.$g5.2.$tFully-discrete Generalized Difference Schemes.$g5.3.$tMass Concentration Methods.$g5.4.$tHigh Order Element Difference Schemes.$g5.5.$tGeneralized Difference Methods for Nonlinear Parabolic Equations --$g6.$tHyperbolic Equations.$g6.1.$tGeneralized Difference Methods for Second Order Hyperbolic Equations.$g6.2.$tGeneralized Upwind Schemes for First Order Hyperbolic Equations.$g6.3.$tGeneralized Upwind Schemes for First Order Hyperbolic Systems.$g6.4.$tFinite Volume Methods for Nonlinear Conservative Hyperbolic Equations --$g7.$tConvection-Dominated Diffusion Problems.
505 80 $g7.1.$tOne-Dimensional Characteristic Difference Schemes.$g7.2.$tGeneralized Upwind Difference Schemes for Steady-state Problems.$g7.3.$tGeneralized Upwind Difference Schemes for Nonsteady-state Problems.$g7.4.$tHighly Accurate Generalized Upwind Schemes.$g7.5.$tUpwind Schemes for Nonlinear Convection Problems --$g8.$tApplications.$g8.1.$tPlanar Elastic Problems.$g8.2.$tComputation of Electromagnetic Fields.$g8.3.$tNumerical Simulation of Underground Water Pollution.$g8.4.$tStokes Equation.$g8.5.$tCoupled Sound-Heat Problems.$g8.6.$tRegularized Long Wave Equations.$g8.7.$tHierarchical Basis Methods.
520 1 $a"This eminently readable reference/text serves as an excellent training manual for generalized difference methods (GDM) - presenting a comprehensive mathematical theory for elliptic, parabolic, and hyperbolic differential equations. Comparing finite element and finite difference methods, the volume builds an impressive case for the superiority of GDM and demonstrates its myriad uses in numerical analysis."--BOOK JACKET.
650 0 $aFinite differences.$0http://id.loc.gov/authorities/subjects/sh85048348
650 0 $aDifferential equations, Partial$xNumerical solutions.$0http://id.loc.gov/authorities/subjects/sh85037915
700 1 $aChen, Zhongying,$d1946-$0http://id.loc.gov/authorities/names/n97019052
700 1 $aWu, Wei,$d1929-$0http://id.loc.gov/authorities/names/n99830620
830 0 $aMonographs and textbooks in pure and applied mathematics ;$v226.$0http://id.loc.gov/authorities/names/n42037163
852 00 $bmat$hQA431$i.L575 2000