MARC Record from marc_columbia

LEADER: 03074mam a22003254a 4500
001 3028363
005 20221019200334.0
008 010202t20012001mau b 001 0 eng
010 $a 2001025166
020 $a081764170X (acid-free paper)
020 $a376434170X (acid-free paper)
035 $a(OCoLC)ocm45845549
035 $9ATH8094CU
035 $a3028363
040 $aDLC$cDLC$dC#P$dOrLoB-B
042 $apcc
050 00 $aQA299.3$b.H4 2001
100 1 $aHe, Tian-Xiao,$d1952-$0http://id.loc.gov/authorities/names/n00004015
245 10 $aDimensionality reducing expansion of multivariate integration /$cTian-Xiao He.
260 $aBoston :$bBirkhäuser,$c[2001], ©2001.
300 $aix, 225 pages ;$c25 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
504 $aIncludes bibliographical references (p. [217]-222) and index.
505 00 $g1.$tDimensionality Reducing Expansion of Multivariate Integration.$g1.1.$tDarboux formulas and their special forms.$g1.2.$tGeneralized integration by parts rule.$g1.3.$tDREs with algebraic precision.$g1.4.$tMinimum estimation of remainders in DREs with algebraic precision --$g2.$tBoundary Type Quadrature Formulas with Algebraic Precision.$g2.1.$tConstruction of BTQFs using DREs.$g2.2.$tBTQFs with homogeneous precision.$g2.3.$tNumerical integration associated with wavelet functions.$g2.4.$tSome applications of DREs and BTQFs.$g2.5.$tBTQFs over axially symmetric regions --$g3.$tThe Integration and DREs of Rapidly Oscillating Functions.$g3.1.$tDREs for approximating a double integral.$g3.2.$tBasic lemma.$g3.3.$tDREs with large parameters.$g3.4.$tBasic expansion theorem for integrals with large parameters.$g3.5.$tAsymptotic expansion formulas for oscillatory integrals with singular factors --$g4.$tNumerical Quadrature Formulas Associated with the Integration of Rapidly Oscillating Functions.
505 80 $g4.1.$tNumerical quadrature formulas of double integrals.$g4.2.$tNumerical integration of oscillatory integrals.$g4.3.$tNumerical quadrature of strongly oscillatory integrals with compound precision.$g4.4.$tFast numerical computations of oscillatory integrals.$g4.5.$tDRE construction and numerical integration using measure theory.$g4.6.$tError analysis of numerical integration --$g5.$tDREs Over Complex Domains.$g5.1.$tDREs of the double integrals of analytic functions.$g5.2.$tConstruction of quadrature formulas using DREs.$g5.3.$tIntegral regions suitable for DREs.$g5.4.$tAdditional topics --$g6.$tExact DREs Associated With Differential Equations.$g6.1.$tDREs and ordinary differential equations.$g6.2.$tDREs and partial differential equations.$g6.3.$tApplications of DREs in the construction of BTQFs.$g6.4.$tApplications of DREs in the boundary element method.
650 0 $aNumerical integration.$0http://id.loc.gov/authorities/subjects/sh85093246
650 0 $aGaussian quadrature formulas.$0http://id.loc.gov/authorities/subjects/sh85053559
650 0 $aGreen's functions.$0http://id.loc.gov/authorities/subjects/sh85057264
852 00 $bmat$hQA299.3$i.H4 2001