MARC Record from marc_columbia

LEADER: 03357fam a2200385 a 4500
001 1748690
005 20220608224831.0
008 950724s1995 nyua b 001 0 eng
010 $a 95031986
020 $a0521495822 (hc)
035 $a(OCoLC)232366978
035 $a(OCoLC)ocn232366978
035 $9ALF9916CU
035 $a(NNC)1748690
035 $a1748690
040 $aDLC$cDLC$dNNC$dOrLoB-B
050 00 $aQA320$b.F65 1995
082 00 $a515/.7242$220
100 1 $aFornberg, Bengt.$0http://id.loc.gov/authorities/names/n95073087
245 12 $aA practical guide to pseudospectral methods /$cBengt Fornberg.
260 $aNew York :$bCambridge University Press,$c1995.
263 $a9511
300 $ax, 231 pages :$billustrations ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aCambridge monographs on applied and computational mathematics ;$v1
504 $aIncludes bibliographical references (p. 217-228) and index.
505 00 $g1.$tIntroduction --$g2.$tIntroduction to spectral methods via orthogonal functions --$g3.$tIntroduction to PS methods via finite differences --$g4.$tKey properties of PS approximations --$g5.$tPS variations and enhancements --$g6.$tPS methods in polar and spherical geometries --$g7.$tComparisons of computational cost for FD and PS methods --$g8.$tApplications for spectral methods --$tApp. A: Jacobi polynomials --$tApp. B: Tau, Galerkin, and collocation (PS) implementations --$tApp. C: Codes for algorithm to find FD weights --$tApp. D: Lebesgue constants --$tApp. E: Potential function estimate for polynomial interpolation error --$tApp. F: FFT-based implementation of PS methods --$tApp. G: Stability domains for some ODE solvers --$tApp. H: Energy estimates.
520 $aPartial differential equations arise in almost all areas of science, engineering, modeling, and forecasting. During the last two decades, pseudospectral methods have emerged as successful, and often superior, alternatives to better-known computational procedures - such as finite difference and finite element methods - in several key application areas. These areas include computational fluid dynamics, wave motion, and weather forecasting.
520 8 $aThis book explains how, when, and why this pseudospectral approach works. In order to make the subject accessible to students as well as to researchers and engineers, the presentation incorporates illustrations, examples, heuristic explanations, and algorithms rather than rigorous theoretical arguments. A key theme of the book is to establish and exploit the close connection that exists between pseudospectral and finite difference methods.
520 8 $aThis approach not only leads to new insights into already established pseudospectral procedures, but also provides many novel and powerful pseudospectral variations. This book will be of interest to graduate students, scientists, and engineers interested in applying pseudospectral methods to real problems.
650 0 $aSpectral theory (Mathematics)$0http://id.loc.gov/authorities/subjects/sh85126408
650 0 $aFinite differences.$0http://id.loc.gov/authorities/subjects/sh85048348
830 0 $aCambridge monographs on applied and computational mathematics ;$v1.$0http://id.loc.gov/authorities/names/n95073089
852 00 $boff,eng$hQA320$i.F65 1995