MARC Record from marc_columbia

LEADER: 03226pam a22003734a 4500
001 6295959
005 20221122020035.0
008 070313t20072007paua b 001 0 eng
010 $a 2007061732
020 $a9780898716290 (alk. paper)
020 $a0898716292 (alk. paper)
020 $z9780798716290 (alk. paper)
035 $a(OCoLC)ocm86110147
035 $a(OCoLC)86110147
035 $a(NNC)6295959
035 $a6295959
040 $aDLC$cDLC$dYDX$dBTCTA$dBAKER$dYDXCP$dOrLoB-B
050 00 $aQA431$b.L548 2007
082 00 $a515/.35$222
100 1 $aLeVeque, Randall J.,$d1955-$0http://id.loc.gov/authorities/names/n89116101
245 10 $aFinite difference methods for ordinary and partial differential equations :$bsteady-state and time-dependent problems /$cRandall J. LeVeque.
260 $aPhiladelphia, PA :$bSociety for Industrial and Applied Mathematics,$c[2007], ©2007.
300 $axv, 341 pages :$billustrations ;$c26 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
504 $aIncludes bibliographical references (p. 329-335) and index.
505 00 $g1.$tFinite difference approximations -- $g2.$tSteady states and boundary value problems -- $g3.$tElliptic equations -- $g4.$tIterative methods for sparse linear systems -- $g5.$tThe initial value problem for ordinary differential equations -- $g6.$tZero-stability and convergence for initial value problems -- $g7.$tAbsolute stability for ordinary differential equations -- $g8.$tStiff ordinary differential equations -- $g9.$tDiffusion equations and parabolic problems -- $g10.$tAddiction equations and hyperbolic systems -- $g11.$tMixed equations -- $gApp. A.$tMeasuring errors -- $gApp. B.$tPolynomial interpolation and orthogonal polynomials -- $gApp. C.$tEigenvalues and inner-product norms -- $gApp. D.$tMatrix powers and exponentials -- $gApp. E.$tPartial differential equations.
520 1 $a"This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for different types of equations. A unified view of stability theory for ODEs and PDEs is presented, and the interplay between ODE and POE analysis is stressed. The text emphasizes standard classical methods, but several newer approaches also are introduced and are described in the context of simple motivating examples." "This book is designed as an introductory graduate-level textbook on finite difference methods and their analysis. It is also appropriate for researchers who desire an introduction to the use of these methods."--BOOK JACKET.
650 0 $aFinite differences.$0http://id.loc.gov/authorities/subjects/sh85048348
650 0 $aDifferential equations.$0http://id.loc.gov/authorities/subjects/sh85037890
856 41 $3Table of contents only$uhttp://www.loc.gov/catdir/enhancements/fy0707/2007061732-t.html
856 42 $3Publisher description$uhttp://www.loc.gov/catdir/enhancements/fy0707/2007061732-d.html
856 42 $3Contributor biographical information$uhttp://www.loc.gov/catdir/enhancements/fy0708/2007061732-b.html
852 00 $bmat$hQA431$i.L548 2007