MARC Record from harvard_bibliographic_metadata

LEADER: 02209cam a22003374a 4500
001 011470045-1
005 20140910154318.0
008 071112s2008 gw a b 001 0 eng c
010 $a 2007940500
020 $a9783540749929
020 $a3540749926
035 0 $aocn181090541
040 $aYDXCP$cYDXCP$dBTCTA$dBAKER$dOHX$dSTF$dNLGGC$dOCLCQ
042 $apcc
050 4 $aQA377$b.G88 2008
100 1 $aGustafsson, Bertil,$d1930-
245 10 $aHigh order difference methods for time dependent PDE /$cBertil Gustafsson.
260 $aBerlin :$bSpringer,$cc2008.
300 $axiii, 334 p. :$bill. ;$c24 cm.
440 0 $aSpringer series in computational mathematics,$x0179-3632 ;$v38
500 $a"With 94 figures and 12 tables"
504 $aIncludes bibliographical references (p. 325-330) and index.
520 1 $a"The subject of this book is high order finite difference methods for time dependent PDE. The idea is to give an overview of the basic theory and construction principles by using model examples. The book also contains a general presentation of the techniques and results for well-posedness and stability, with inclusion of the three fundamental methods of analysis both for PDE in its original and discretized form: the Fourier transform, the energy method and the Laplace transform. Various types of wave propagation problems are treated in specific detail since high order methods are particularly effective for these problems."--BOOK JACKET.
505 0 $aWhen are higher order methods effective? -- Well-posedness and stability -- Order of accuracy and convergence rate -- Approximation of space -- Approximation in time -- Coupled space-time approximations -- Boundary treatment -- The box scheme -- Wave propagation -- Problems in fluid dynamics -- Nonlinear problems with shocks -- Introduction to other numerical methods -- Appendix A: Solution of difference equations -- Appendix B: The form of SBP operators.
650 0 $aDifferential equations, Partial$xNumerical solutions.
650 0 $aFinite differences.
650 0 $aComputer science$xMathematics.
650 0 $aDifferential equations, partial.
650 0 $aMathematics.
988 $a20080520
906 $0OCLC