Evaluation of Definite Integrals

Academic Press, 2008. - 272 pages. Precise numerical analysis may be defined as the study of computer methods for solving mathematical problems either exactly or to prescribed accuracy. This book explains how precise numerical analysis is constructed. · Clearer, simpler descriptions and explanations of the various numerical methods · Windows based software · Two new types of numerical problems; accurately solving partial differential equations...

WIT Press, 1998. ISBN 1853121606(K)(T). (325s). Why Boundary Elements? References. Basic Concepts. Fundamental Concepts. The Poisson's liquation. Approximate Solutions. Weighted Residual Techniques. Weak Formulations. Boundary and Domain Solutions. Concluding Remarks. Exercises. Potential Problems. Introduction. Basic Integral liquation. The Boundary Element Method. Computer Code for Potential Problems using Constant Elements (POCONBE). Linear El...

Springer, 2011. - 498 pages. This book presents numerical and other approximation techniques for solving various types of mathematical problems that cannot be solved analytically. In addition to well known methods, it contains some non-standard approximation techniques that are now formally collected as well as original methods developed by the author that do not appear in the literature. This book contains an extensive treatment of approximate...

George W. Collins, II, 2003. - 284 pages. * Contents and Introduction * Chapter 1: Introduction and Fundamental Concepts * Chapter 2: The Numerical Methods for Linear Equations and Matrices * Chapter 3: Polynomial Approximation, Interpolation, and Orthogonal Polynomials * Chapter 4: Numerical Evaluation of Derivatives and Integrals * Chapter 5: Numerical Solution of Differential and Integral Equations * Chapter 6: Least Squares, Fourier An...

Chapman and Hall Book/CRC, 2010. - 344 pages. Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations. A guide to methods and results in a new area of application of Lie grou...

University of California at San Diego, 2005. - 180 pages. From the table of contents: A "Crash" Course in octave/Matlab; Solving Linear Systems; Finding Roots; Interpolation; Spline Interpolation; Approximating Derivatives; Integrals and Quadrature; Least Squares; Ordinary Differential Equations. rn

ISBN 0-521-43108-5. Cambridge University Press - 1018 pages. Contents: Solution of linear algebraic equations. Interpolation and extrapolation. Integration of functions. Evaluation of functions. Special functions. Random numbers. Sorting. Root finding and nonlinear sets of equations. Minimization or maximization of functions. Eigensystems. Fast Fourier Transform. Fourier and spectrum applications. Statistical description of data. Modeling of data...

Cambridge University Press, Cambridge monographs on applied and computational mathematics -- 10, 2003, 519 p. Preface; Introduction; Part I. The Richardson Extrapolation Process and Its Generalizations: The richardson extrapolation process; Additional topics in Richardson extrapolation; First generalization of the Richardson extrapolation process; GREP: further generalization of the Richardson extrapolation process; The d-transformation: a GREP...

Springer-Verlag, Berlin, 2008, 276 pages Symmetric Galerkin Boundary Element Method presents an introduction as well as recent developments of this accurate, powerful, and versatile method. The formulation possesses the attractive feature of producing a symmetric coefficient matrix. In addition, the Galerkin approximation allows standard continuous elements to be used for evaluation of hypersingular integrals. FEATURES Written in a form suit...

Springer, 1989. - 249 pages. The major goals of the ESPRIT Project 1072, DIAMOND (Development and Integration of Accurate Mathematical Operations in Numerical Data-Processing), were to develop a set of accurate numerical algorithms (work package 3) and to provide tools to support their implementation by means of embedding accurate arithmetic into programming languages (work package 1) and by transformation techniques which either improve the ac...