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Author : Aldo Ghizzetti
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.3/5 (91 download)
Download or read book Quadrature Formulae written by Aldo Ghizzetti and published by . This book was released on 1970 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Helmut Brass
Publisher : American Mathematical Soc.
ISBN 13 : 0821853619
Total Pages : 376 pages
Book Rating : 4.8/5 (218 download)
Download or read book Quadrature Theory written by Helmut Brass and published by American Mathematical Soc.. This book was released on 2011-10-12 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every book on numerical analysis covers methods for the approximate calculation of definite integrals. The authors of this book provide a complementary treatment of the topic by presenting a coherent theory of quadrature methods that encompasses many deep and elegant results as well as a large number of interesting (solved and open) problems. The inclusion of the word ``theory'' in the title highlights the authors' emphasis on analytical questions, such as the existence and structure of quadrature methods and selection criteria based on strict error bounds for quadrature rules. Systematic analyses of this kind rely on certain properties of the integrand, called ``co-observations,'' which form the central organizing principle for the authors' theory, and distinguish their book from other texts on numerical integration. A wide variety of co-observations are examined, as a detailed understanding of these is useful for solving problems in practical contexts. While quadrature theory is often viewed as a branch of numerical analysis, its influence extends much further. It has been the starting point of many far-reaching generalizations in various directions, as well as a testing ground for new ideas and concepts. The material in this book should be accessible to anyone who has taken the standard undergraduate courses in linear algebra, advanced calculus, and real analysis.
Author : GHIZZETTI
Publisher : Springer-Verlag
ISBN 13 : 3034858361
Total Pages : 191 pages
Book Rating : 4.0/5 (348 download)
Download or read book Quadrature Formulae written by GHIZZETTI and published by Springer-Verlag. This book was released on 2013-11-21 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Aldo Ghizzetti
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (318 download)
Download or read book Quadrature Formulae written by Aldo Ghizzetti and published by . This book was released on 1970 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Meishe Isakovich Levin
Publisher :
ISBN 13 :
Total Pages : 132 pages
Book Rating : 4.:/5 (25 download)
Download or read book Optimal Quadrature Formulas written by Meishe Isakovich Levin and published by . This book was released on 1979 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Zwillinger
Publisher : CRC Press
ISBN 13 : 1420035347
Total Pages : 927 pages
Book Rating : 4.4/5 (2 download)
Download or read book CRC Standard Mathematical Tables and Formulae written by Daniel Zwillinger and published by CRC Press. This book was released on 2002-11-25 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt: A perennial bestseller, the 30th edition of CRC Standard Mathematical Tables and Formulae was the first "modern" edition of the handbook - adapted to be useful in the era of personal computers and powerful handheld devices. Now this version will quickly establish itself as the "user-friendly" edition. With a detailed table of contents and an extens
Author : S.L. Sobolev
Publisher : Springer Science & Business Media
ISBN 13 : 9401589135
Total Pages : 427 pages
Book Rating : 4.4/5 (15 download)
Download or read book The Theory of Cubature Formulas written by S.L. Sobolev and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature formulas and those for a cube, a simplex, and other polyhedra. Here, the techniques of functional analysis and partial differential equations are applied to the classical problem of numerical integration, to establish many important and deep analytical properties of cubature formulas. The prerequisites of the theory of many-dimensional discrete function spaces and the theory of finite differences are concisely presented. Special attention is paid to constructing and studying the optimal cubature formulas in Sobolev spaces. As an asymptotically optimal sequence of cubature formulas, a many-dimensional abstraction of the Gregory quadrature is indicated. Audience: This book is intended for researchers having a basic knowledge of functional analysis who are interested in the applications of modern theoretical methods to numerical mathematics.
Author : A. Ghizzetti
Publisher :
ISBN 13 : 9780817605308
Total Pages : 192 pages
Book Rating : 4.6/5 (53 download)
Download or read book Quadrature Formulae written by A. Ghizzetti and published by . This book was released on 1980-01-01 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Daniel Zwillinger
Publisher : CRC Press
ISBN 13 : 1439835500
Total Pages : 792 pages
Book Rating : 4.4/5 (398 download)
Download or read book CRC Standard Mathematical Tables and Formulae, 32nd Edition written by Daniel Zwillinger and published by CRC Press. This book was released on 2011-06-22 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: With over 6,000 entries, CRC Standard Mathematical Tables and Formulae, 32nd Edition continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals not available online. This new edition incorporates important topics that are unfamiliar to some readers, such as visual proofs and sequences, and illustrates how mathematical information is interpreted. Material is presented in a multisectional format, with each section containing a valuable collection of fundamental tabular and expository reference material. New to the 32nd Edition A new chapter on Mathematical Formulae from the Sciences that contains the most important formulae from a variety of fields, including acoustics, astrophysics, epidemiology, finance, statistical mechanics, and thermodynamics New material on contingency tables, estimators, process capability, runs test, and sample sizes New material on cellular automata, knot theory, music, quaternions, and rational trigonometry Updated and more streamlined tables Retaining the successful format of previous editions, this comprehensive handbook remains an invaluable reference for professionals and students in mathematical and scientific fields.
Author : Joseph Oscar Irwin
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.3/5 (91 download)
Download or read book On Quadrature and Cubature written by Joseph Oscar Irwin and published by . This book was released on 1923 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lloyd N. Trefethen
Publisher : SIAM
ISBN 13 : 9781611972405
Total Pages : 295 pages
Book Rating : 4.9/5 (724 download)
Download or read book Approximation Theory and Approximation Practice written by Lloyd N. Trefethen and published by SIAM. This book was released on 2013-01-03 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: An original and modern treatment of approximation theory for students in applied mathematics. Includes exercises, illustrations and Matlab code.
Author : Rainer Kress
Publisher : Springer Science & Business Media
ISBN 13 : 3642971466
Total Pages : 311 pages
Book Rating : 4.6/5 (429 download)
Download or read book Linear Integral Equations written by Rainer Kress and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: I fell in love with integral equations about twenty years ago when I was working on my thesis, and I am still attracted by their mathematical beauty. This book will try to stimulate the reader to share this love with me. Having taught integral equations a number of times I felt a lack of a text which adequately combines theory, applications and numerical methods. Therefore, in this book I intend to cover each of these fields with the same weight. The first part provides the basic Riesz-Fredholm theory for equa tions of the second kind with compact opertors in dual systems including all functional analytic concepts necessary for developing this theory. The second part then illustrates the classical applications of integral equation methods to boundary value problems for the Laplace and the heat equation as one of the main historical sources for the development of integral equations, and also in troduces Cauchy type singular integral equations. The third part is devoted to describing the fundamental ideas for the numerical solution of integral equa tions. Finally, in a fourth part, ill-posed integral equations of the first kind and their regularization are studied in a Hilbert space setting. In order to make the book accessible not only to mathematicans but also to physicists and engineers I have planned it as self-contained as possible by requiring only a solid foundation in differential and integral calculus and, for parts of the book, in complex function theory.
Author : Ivan V. Sergienko
Publisher : Springer Nature
ISBN 13 : 3030909085
Total Pages : 387 pages
Book Rating : 4.0/5 (39 download)
Download or read book Elements of the General Theory of Optimal Algorithms written by Ivan V. Sergienko and published by Springer Nature. This book was released on 2022-01-11 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, the authors develop a methodology that allows one to construct and substantiate optimal and suboptimal algorithms to solve problems in computational and applied mathematics. Throughout the book, the authors explore well-known and proposed algorithms with a view toward analyzing their quality and the range of their efficiency. The concept of the approach taken is based on several theories (of computations, of optimal algorithms, of interpolation, interlination, and interflatation of functions, to name several). Theoretical principles and practical aspects of testing the quality of algorithms and applied software, are a major component of the exposition. The computer technology in construction of T-efficient algorithms for computing ε-solutions to problems of computational and applied mathematics, is also explored. The readership for this monograph is aimed at scientists, postgraduate students, advanced students, and specialists dealing with issues of developing algorithmic and software support for the solution of problems of computational and applied mathematics.
Author : W. W. Youden
Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.:/5 (321 download)
Download or read book Computer Literature Bibliography: 1946-1963 written by W. W. Youden and published by . This book was released on 1965 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenneth L. Bowers
Publisher : Springer Science & Business Media
ISBN 13 : 1461237041
Total Pages : 407 pages
Book Rating : 4.4/5 (612 download)
Download or read book Computation and Control written by Kenneth L. Bowers and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of developing a systematic approach to the design of feed back strategies capable of shaping the response of complicated dynamical control systems illustrates the integration of a wide variety of mathemat ical disciplines typical of the modern theory of systems and control. As a concrete example, one may consider the control of fluid flow across an airfoil, for which recent experiments indicate the possibility of delaying the onset of turbulence by controlling viscosity through thermal actuators located on the airfoil. In general, there are two approaches to the con trol of such a complica. ted process, the development of extremely detailed models of the process followed by the derivation of a more "dedicated" feed back law or the development of a more simple model class followed by the derivation of control laws which are more robust to unmodelled dynamics and exogeneous disturbances. In either approach, the two twin themes of approximation and computation play a significant role in the derivation and implementation of resulting control laws. And there is no doubt that the cross-fertilization between these twin themes and control theory will increase unabated throughout the next decade, not just as an important component of design and implementation of control laws but also as a source of new problems in computational mathematics. In this volume, we present a collection of papers which were deliv ered at the first Bozeman Conference on Computation and Control, held at Montana State University on August 1-11, 1988.
Author : Werner Haussmann
Publisher : Springer Science & Business Media
ISBN 13 : 9783764365059
Total Pages : 668 pages
Book Rating : 4.3/5 (65 download)
Download or read book Recent Progress in Multivariate Approximation written by Werner Haussmann and published by Springer Science & Business Media. This book was released on 2001 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the main results of the 4th International Conference on Multivariate Approximation, which was held at Witten-Bommerholz, September 24-29, 2000. Nineteen selected, peer-reviewed contributions cover recent topics in constructive approximation on varieties, approximation by solutions of partial differential equations, application of Riesz bases and frames, multiwavelets and subdivision. Features and Topics: interpolation and approximation on compact sets, kergin interpolationerror asymptoticsradial basis functionsenergy minimizing configurations on the spherequadrature and cubature formulaeharmonic functions near a zeroblending functionsframes and approximation of inverse frame operators The book is an essential resource for researchers and graduates in applied mathematics, computer science and geophysics who are interested in the state-of-the-art developments in multivariate approximation.
Author : Alfio Quarteroni
Publisher : Springer Science & Business Media
ISBN 13 : 3642453678
Total Pages : 465 pages
Book Rating : 4.6/5 (424 download)
Download or read book Scientific Computing with MATLAB and Octave written by Alfio Quarteroni and published by Springer Science & Business Media. This book was released on 2014-02-20 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros, the extrema, and the integrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material. From the review: ".... This carefully written textbook, the third English edition, contains substantial new developments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style suited for readers who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject." Roberto Plato (Siegen), Zentralblatt MATH 1205.65002.
