Holdings: Dimensionality reducing expansion of multivariate integration

Dimensionality reducing expansion of multivariate integration:

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Bibliographic Details
Main Author:	He, Tian-Xiao 1952- (Author)
Format:	Book
Language:	English
Published:	Boston [u.a.] Birkhäuser 2001
Subjects:	Gaussian quadrature formulas Green's functions Numerical integration Mehrere Variable Funktion > Mathematik Numerische Integration
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverz. S. 217 - 222
Physical Description:	IX, 225 S.
ISBN:	376434170X 081764170X

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Record in the Search Index

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adam_text	TIAN-XIAO HE DIMENSIONALITY REDUCING EXPANSION OF MULTIVARIATE INTEGRATION BIRKHAUSER BOSTON * BASEL * BERLIN CONTENTS PREFACE VII DIMENSIONALITY REDUCING EXPANSION OF MULTIVARIATE INTEGRATION 1 1.1 DARBOUX FORMULAS AND THEIR SPECIAL FORMS 1 1.2 GENERALIZED INTEGRATION BY PARTS RULE 5 1.3 DRES WITH ALGEBRAIC PRECISION 8 1.4 MINIMUM ESTIMATION OF REMAINDERS IN DRES WITH ALGEBRAIC PRECISION 15 BOUNDARY TYPE QUADRATURE FORMULAS WITH ALGEBRAIC PRECISION 25 2.1 CONSTRUCTION OF BTQFS USING DRES 25 2.2 BTQFS WITH HOMOGENEOUS PRECISION 31 2.3 NUMERICAL INTEGRATION ASSOCIATED WITH WAVELET FUNCTIONS 38 2.4 SOME APPLICATIONS OF DRES AND BTQFS 52 2.5 BTQFS OVER AXIALLY SYMMETRIC REGIONS 65 THE INTEGRATION AND DRES OF RAPIDLY OSCILLATING FUNCTIONS 79 3.1 DRES FOR APPROXIMATING A DOUBLE INTEGRAL 80 3.2 BASIC LEMMA 82 3.3 DRES WITH LARGE PARAMETERS 88 3.4 BASIC EXPANSION THEOREM FOR INTEGRALS WITH LARGE PARAMETERS ... 94 3.5 ASYMPTOTIC EXPANSION FORMULAS FOR OSCILLATORY INTEGRALS WITH SINGULAR FACTORS 103 NUMERICAL QUADRATURE FORMULAS ASSOCIATED WITH THE INTEGRATION OF RAPIDLY OSCILLATING FUNCTIONS 109 4.1 NUMERICAL QUADRATURE FORMULAS OF DOUBLE INTEGRALS 109 4.2 NUMERICAL INTEGRATION OF OSCILLATORY INTEGRALS 115 VI CONTENTS 4.3 NUMERICAL QUADRATURE OF STRONGLY OSCILLATORY INTEGRALS WITH COMPOUND PRECISION 120 4.4 FAST NUMERICAL COMPUTATIONS OF OSCILLATORY INTEGRALS 128 4.5 DRE CONSTRUCTION AND NUMERICAL INTEGRATION USING MEASURE THEORY 135 4.6 ERROR ANALYSIS OF NUMERICAL INTEGRATION 142 5 DRES OVER COMPLEX DOMAINS 151 5.1 DRES OF THE DOUBLE INTEGRALS OF ANALYTIC FUNCTIONS 151 5.2 CONSTRUCTION OF QUADRATURE FORMULAS USING DRES 157 5.3 INTEGRAL REGIONS SUITABLE FOR DRES 167 5.4 ADDITIONAL TOPICS 174 6 EXACT DRES ASSOCIATED WITH DIFFERENTIAL EQUATIONS 181 6.1 DRES AND ORDINARY DIFFERENTIAL EQUATIONS 181 6.2 DRES AND PARTIAL DIFFERENTIAL EQUATIONS 188 6.3 APPLICATIONS OF DRES IN THE CONSTRUCTION OF BTQFS 197 6.4 APPLICATIONS OF DRES IN THE BOUNDARY ELEMENT METHOD 205 BIBLIOGRAPHY 217 INDEX 223
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isbn	376434170X 081764170X
language	English
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spelling	He, Tian-Xiao 1952- Verfasser (DE-588)12296523X aut Dimensionality reducing expansion of multivariate integration Tian-Xiao He Boston [u.a.] Birkhäuser 2001 IX, 225 S. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 217 - 222 Gaussian quadrature formulas Green's functions Numerical integration Mehrere Variable (DE-588)4277015-4 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Numerische Integration (DE-588)4172168-8 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 s Mehrere Variable (DE-588)4277015-4 s Numerische Integration (DE-588)4172168-8 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009442948&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	He, Tian-Xiao 1952- Dimensionality reducing expansion of multivariate integration Gaussian quadrature formulas Green's functions Numerical integration Mehrere Variable (DE-588)4277015-4 gnd Funktion Mathematik (DE-588)4071510-3 gnd Numerische Integration (DE-588)4172168-8 gnd
subject_GND	(DE-588)4277015-4 (DE-588)4071510-3 (DE-588)4172168-8
title	Dimensionality reducing expansion of multivariate integration
title_auth	Dimensionality reducing expansion of multivariate integration
title_exact_search	Dimensionality reducing expansion of multivariate integration
title_full	Dimensionality reducing expansion of multivariate integration Tian-Xiao He
title_fullStr	Dimensionality reducing expansion of multivariate integration Tian-Xiao He
title_full_unstemmed	Dimensionality reducing expansion of multivariate integration Tian-Xiao He
title_short	Dimensionality reducing expansion of multivariate integration
title_sort	dimensionality reducing expansion of multivariate integration
topic	Gaussian quadrature formulas Green's functions Numerical integration Mehrere Variable (DE-588)4277015-4 gnd Funktion Mathematik (DE-588)4071510-3 gnd Numerische Integration (DE-588)4172168-8 gnd
topic_facet	Gaussian quadrature formulas Green's functions Numerical integration Mehrere Variable Funktion Mathematik Numerische Integration
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009442948&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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