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Author : Anonim
Publisher : Unknown
Page : 654 pages
File Size : 43,8 Mb
Release : 1983
Category : Engineering mathematics
ISBN : UOM:39015024436837
Author : Bob F. Caviness
Publisher : Springer Science & Business Media
Page : 676 pages
File Size : 41,6 Mb
Release : 1985
Category : Computer science
ISBN : 3540159843
Author : Kenneth R. Meyer,Dieter S. Schmidt
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461390923
This IMA Volume in Mathematics and its Applications COMPUTER AIDED PROOFS IN ANALYSIS is based on the proceedings of an IMA Participating Institutions (PI) Conference held at the University of Cincinnati in April 1989. Each year the 19 Participating Institutions select, through a competitive process, several conferences proposals from the PIs, for partial funding. This conference brought together leading figures in a number of fields who were interested in finding exact answers to problems in analysis through computer methods. We thank Kenneth Meyer and Dieter Schmidt for organizing the meeting and editing the proceedings. A vner Friedman Willard Miller, Jr. PREFACE Since the dawn of the computer revolution the vast majority of scientific compu tation has dealt with finding approximate solutions of equations. However, during this time there has been a small cadre seeking precise solutions of equations and rigorous proofs of mathematical results. For example, number theory and combina torics have a long history of computer-assisted proofs; such methods are now well established in these fields. In analysis the use of computers to obtain exact results has been fragmented into several schools.
Author : Bernd Krause,A. Schreiner
Publisher : Springer Science & Business Media
Page : 521 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Education
ISBN : 9783642735769
This volume and volume II HECTOR - Basic Projects present the results of HECTOR, the four-year cooperation from 1984-1988 between the University of Karlsruhe and IBM Germany. The HECTOR Project has two major aspects: the first is to explore new ways in university education. The associated projects are presented in this volume. It includes a survey of the objectives of the cooperation project, its organization and the experience of the project management. Experience in student education using data processing equipment and particularly personnel computers is presented, e.g. distribution of software, introduction of standards and coordination of the activities in the different institutes. The second aspect of HECTOR, i.e. research work, results and experiences of the installation of the prototype of a heterogeneous computer network in a university, is presented in volume II.
Author : Ulrich W. Kulisch,Willard L. Miranker
Publisher : Elsevier
Page : 401 pages
File Size : 55,9 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483272047
A New Approach to Scientific Computation is a collection of papers delivered at a symposium held at the IBM Thomas J. Watson Research Center on August 3, 1982. The symposium provided a forum for reviewing various aspects of an approach to scientific computation based on a systematic theory of computer arithmetic. Computer demonstration packages for standard problems of numerical mathematics are considered. Comprised of 12 chapters, this volume begins by summarizing an extensive research activity in scientific computation as well as the experience gained through various implementations of a new approach to arithmetic on diverse processors, including even microprocessors. A complete listing of the spaces that occur in numerical computations is presented, followed by a discussion of aspects of traditional computer arithmetic and a new definition of computer arithmetic. The properties of semimorphisms are also considered. Subsequent chapters focus on potential applications of programming packages to standard problems in numerical analysis implemented on a Z80 based minicomputer, with a PASCAL extension called PASCAL-SC as the programming language; methods for solving algebraic problems with high accuracy; and the use of a computer with floating-point arithmetic to obtain guaranteed sharp bounds for the value of an arithmetic expression. An extension of FORTRAN which satisfies contemporary requirements of numerical computation is also described. This book will be helpful to students and practitioners in the fields of computer science and applied mathematics.
Author : Library of Congress,Library of Congress. Subject Cataloging Division
Publisher : Unknown
Page : 1446 pages
File Size : 46,7 Mb
Release : 1988
Category : Subject headings
ISBN : UOM:39015014587599
Author : R. Albrecht,G. Alefeld,H.J. Stetter
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783709169186
The articles in this book give a comprehensive overview on the whole field of validated numerics. The problems covered include simultaneous systems of linear and nonlinear equations, differential and integral equations and certain applications from technical sciences. Furthermore some papers which improve the tools are included. The book is a must for scientists working in numerical analysis, computer science and in technical fields.
Author : Library of Congress. Cataloging Policy and Support Office
Publisher : Unknown
Page : 1596 pages
File Size : 44,8 Mb
Release : 2009
Category : Subject headings, Library of Congress
ISBN : UOM:39015079817063
Author : R. Baker Kearfott
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 44,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475724950
This work grew out of several years of research, graduate seminars and talks on the subject. It was motivated by a desire to make the technology accessible to those who most needed it or could most use it. It is meant to be a self-contained introduction, a reference for the techniques, and a guide to the literature for the underlying theory. It contains pointers to fertile areas for future research. It also serves as introductory documentation for a Fortran 90 software package for nonlinear systems and global optimization. The subject of the monograph is deterministic, automatically verified or r- orous methods. In such methods, directed rounding and computational fix- point theory are combined with exhaustive search (branch and bound) te- niques. Completion of such an algorithm with a list of solutions constitutes a rigorous mathematical proof that all of the solutions within the original search region are within the output list. The monograph is appropriate as an introduction to research and technology in the area, as a desk reference, or as a graduate-level course reference. Kno- edge of calculus, linear algebra, and elementary numerical analysis is assumed.
Author : Gerd Bohlender,Christian Ullrich,Jürgen Wolff von Gudenberg
Publisher : Academic Press
Page : 305 pages
File Size : 45,5 Mb
Release : 2014-05-10
Category : Computers
ISBN : 9781483268859
Perspectives in Computing, Vol. 17: Pascal-SC: A Computer Language for Scientific Computation focuses on the application of Pascal-SC, a programming language developed as an extension of standard Pascal, in scientific computation. The publication first elaborates on the introduction to Pascal-SC, a review of standard Pascal, and real floating-point arithmetic. Discussions focus on optimal scalar product, standard functions, real expressions, program structure, simple extensions, real floating-point arithmetic, vector and matrix arithmetic, and dynamic arrays. The text then examines functions and operators with arbitrary result types and solving problems with Pascal-SC. The book ponders on strings and text processing, dynamic arrays, and modules. Topics include declaration and use of modules, compatibility of static and dynamic arrays, dynamic result types of functions and operators, strings in procedures, functions, and operators, and declaration of string variables. The publication is a dependable reference for computer science experts and researchers interested in the application of Pascal-SC in scientific computation.
Author : Robert Allen Meyers
Publisher : Unknown
Page : 816 pages
File Size : 53,9 Mb
Release : 1987
Category : Engineering
ISBN : UOM:49015002164326
Author : Cornell College (Mount Vernon, Iowa)
Publisher : Unknown
Page : 736 pages
File Size : 44,9 Mb
Release : 1883
Category : Universities and colleges
ISBN : UOM:39015075914948
Author : Ulrich Kulisch,Rudolf Lohner,Axel Facius
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783709162828
Enclosure methods and their applications have been developed to a high standard during the last decades. These methods guarantee the validity of the computed results. This means they are of the same standard as the rest of mathematics. The book deals with a wide variety of aspects of enclosure methods. All contributions follow the common goal to push the limits of enclosure methods forward. Topics that are treated include basic questions of arithmetic, proving conjectures, bounds for Krylow type linear system solvers, bounds for eigenvalues, the wrapping effect, algorithmic differencing, differential equations, finite element methods, application in robotics, and nonsmooth global optimization.
Author : Tōkyō Daigaku. Kōgakubu
Publisher : Unknown
Page : 706 pages
File Size : 55,7 Mb
Release : 1978
Category : Engineering
ISBN : UOM:39015029584649
Author : Achim Sydow,Spyros G. Tzafestas,Robert Vichnevetsky
Publisher : Walter de Gruyter GmbH & Co KG
Page : 428 pages
File Size : 48,9 Mb
Release : 2022-01-19
Category : Social Science
ISBN : 9783112471760