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Dimensionality Reducing Expansion of Multivariate Integration
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Tian-Xiao He
Multivariate integration has been a fundamental subject in mathematics, with broad connections to a number of areas: numerical integration, partial differential equations and Green's functions, harmonic analysis, numerical analysis and approximation theory. In this work the exposition focuses primarily on a powerful tool which has become ...
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Numerical Quadrature and Solution of Ordinary Differential Equations: A Textbook for a Beginning Course in Numerical Analysis
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by
A H Stroud
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Sinc Methods for Quadrature and Differential Equations
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by
J. Lund, K. L. Bowers
Here is an elementary development of the Sinc-Galerkin method with the focal point being ordinary and partial differential equations. This is the first book to explain this powerful computational method for treating differential equations. These methods are an alternative to finite difference and finite element schemes, and are especially ...
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Numerical Integration
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by
Arnold R Krommer (Editor), Christoph W Ueberhuber (Editor)
This monograph is a comprehensive treatment of the theoretical and computational aspects of numerical integration. The authors give a unique overview of the topic by bringing into line many recent research results not yet presented coherently; the extensive bibliography lists 268 items. Particular emphasis is given to the potential parallelism of ...
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Handbook of Computational Methods for Integration
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Michael R Schaferkotter, Prem K Kythe
During the past 20 years, there has been enormous productivity in theoretical as well as computational integration. Some attempts have been made to find an optimal or best numerical method and related computer code to put to rest the problem of numerical integration, but the research is continuously ongoing, as this problem is still very much open ...
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Approximation and Computation: A Festschrift in Honor of Walter Gautschi
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R. V. M. Zahar (Editor)
In recognition of Walter Gautschi's many contributions to mathematics and computer science, and to celebrate his 65th birthday, an international conference was held in his honour at Purdue University in December 1993. These papers are taken from that conference. This book provides a survey of current topics in the fields of approximation, ...
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Methods of Numerical Integration
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by
Philip Rabinowitz, Philip J Davis
Useful to programmers and stimulating for theoreticians, this text offers a balanced presentation accessible to those with a background in calculus. Topics include approximate integration over finite and infinite intervals, error analysis, approximate integration in two or more dimensions, and automatic integration. Includes five helpful ...
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On the integration of algebraic functions
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by
James Harold Davenport
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Handbook of Integration
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by
Daniel Zwillinger
This book is a compilation of the most important and widely applicable methods for evaluating and approximating integrals. Designed as the definitive reference book, it allows convenient access to these techniques providing examples showing how they are used and to which integrals they apply. Each method is accompanied by several current ...
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Approximation by Solutions of Partial Differential Equations
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by
Fuglede, North Atlantic Treaty Organization Scientific Affairs Division
This volume consists of the proceedings of the NATO Advanced Research Workshop on Approximation by Solutions of Partial Differential Equations, Quadrature Formulae, and Related Topics, which was held at Hanstholm, Denmark. These proceedings include the main invited talks and contributed papers given during the workshop. The aim of these lectures ...
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Differential Quadrature and Its Application in Engineering
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by
Chang Shu
In the past few years, the differential quadrature method has been applied extensively in engineering. This book, aimed primarily at practising engineers, scientists and graduate students, gives a systematic description of the mathematical fundamentals of differential quadrature and its detailed implementation in solving Helmholtz problems and ...
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Numerical Integration IV
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by
H. Brass, G. Hammerlin
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Advanced Differential Quadrature Methods
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by
Zhi Zong, Yingyan Zhang
Due to their high accuracy, convenience of use, and flexible capability to solve a variety of problems, differential quadrature methods are often used by researchers to find approximate numerical solutions to problems that cannot be easily solved using the computer or other means. However, use of the direct differential quadrature method is ...
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Integrals and Sums
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by
P C Chakravarti
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Numerical initial value problems in ordinary differential equations
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by
C William Gear
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Methods of Numerical Integration
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by
Philip J Davis
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Integration for engineers and scientists
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by
William Squire
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Construction of integration formulas for initial value problems
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by
P. J. van der Houwen
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Geometric Integration Theory
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by
Hassler Whitney
This treatment of geometric integration theory consists of an introduction to classical theory, a postulational approach to general theory, and a section on Lebesgue theory. Covers the theory of the Riemann integral; abstract integration theory; some relations between chains and functions; Lipschitz mappings; chains and additive set functions, ...
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Quadrature formulae
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by
Aldo Ghizzetti, Alessandro Ossicini
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Integrated Math
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by
Houghton Mifflin Company
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Numerical integration : proceedings of the conference held at the Mathematisches Forschungsinstitut Oberwolfach, October 4-10, 1981
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by
G. Hämmerlin
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Statistical Multiple Integration: Proceedings of a Joint Summer Research Conference Held at Humboldt University, June 17-23, 1989
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High dimensional integration arises naturally in two major subfields of statistics: multivariate and Bayesian statistics. Indeed, the most common measures of central tendency, variation, and loss are defined by integrals over the sample space, the parameter space, or both. Recent advances in computational power have stimulated significant new ...
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Stable Recursions: With Applications to the Numerical Solution of Stiff Systems
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by
J R Cash
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Numerical Integration of Differential Equations and Large Linear Systems: Proceedings of Two Workshops Held at the University of Bielefeld, Spring 1980
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by
Jurgen Hinze
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