Symbolic And Numerical Scientific Computation

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Numerical and Symbolic Scientific Computing

Ulrich Langer,Peter Paule
Numerical and Symbolic Scientific Computing Book PDF

Author : Ulrich Langer,Peter Paule
Publisher : Springer Science & Business Media
Page : 361 pages
File Size : 50,7 Mb
Release : 2011-11-19
Category : Mathematics
ISBN : 9783709107942

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Numerical and Symbolic Scientific Computing by Ulrich Langer,Peter Paule Pdf

The book presents the state of the art and results and also includes articles pointing to future developments. Most of the articles center around the theme of linear partial differential equations. Major aspects are fast solvers in elastoplasticity, symbolic analysis for boundary problems, symbolic treatment of operators, computer algebra, and finite element methods, a symbolic approach to finite difference schemes, cylindrical algebraic decomposition and local Fourier analysis, and white noise analysis for stochastic partial differential equations. Further numerical-symbolic topics range from applied and computational geometry to computer algebra methods used for total variation energy minimization.

Numerical and Symbolic Scientific Computing

Ulrich Langer,Peter Paule
Numerical and Symbolic Scientific Computing Book PDF

Author : Ulrich Langer,Peter Paule
Publisher : Springer
Page : 358 pages
File Size : 51,7 Mb
Release : 2011-11-23
Category : Mathematics
ISBN : 3709107954

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Numerical and Symbolic Scientific Computing by Ulrich Langer,Peter Paule Pdf

The book presents the state of the art and results and also includes articles pointing to future developments. Most of the articles center around the theme of linear partial differential equations. Major aspects are fast solvers in elastoplasticity, symbolic analysis for boundary problems, symbolic treatment of operators, computer algebra, and finite element methods, a symbolic approach to finite difference schemes, cylindrical algebraic decomposition and local Fourier analysis, and white noise analysis for stochastic partial differential equations. Further numerical-symbolic topics range from applied and computational geometry to computer algebra methods used for total variation energy minimization.

Scientific Computing - An Introduction using Maple and MATLAB

Walter Gander,Martin J. Gander,Felix Kwok
Scientific Computing An Introduction using Maple and MATLAB Book PDF

Author : Walter Gander,Martin J. Gander,Felix Kwok
Publisher : Springer Science & Business
Page : 905 pages
File Size : 46,5 Mb
Release : 2014-04-23
Category : Mathematics
ISBN : 9783319043258

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Scientific Computing - An Introduction using Maple and MATLAB by Walter Gander,Martin J. Gander,Felix Kwok Pdf

Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes; we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple – Maple is often used to derive numerical algorithms, whereas Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material “hands-on”.

Symbolic-Numeric Computation

Dongming Wang,Li-Hong Zhi
Symbolic Numeric Computation Book PDF

Author : Dongming Wang,Li-Hong Zhi
Publisher : Springer Science & Business Media
Page : 395 pages
File Size : 53,5 Mb
Release : 2007-06-25
Category : Mathematics
ISBN : 9783764379841

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Symbolic-Numeric Computation by Dongming Wang,Li-Hong Zhi Pdf

The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations. These two types of computation coexist in mathematics yet are separated in traditional research of mathematical computation. This book presents 27 research articles on the integration and interaction of symbolic and numeric computation.

Symbolic and Numerical Scientific Computation

Franz Winkler,Ulrich Langer
Symbolic and Numerical Scientific Computation Book PDF

Author : Franz Winkler,Ulrich Langer
Publisher : Springer
Page : 392 pages
File Size : 49,6 Mb
Release : 2003-08-03
Category : Computers
ISBN : 9783540450849

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Symbolic and Numerical Scientific Computation by Franz Winkler,Ulrich Langer Pdf

The thoroughly refereed post-proceedings of the Second International Conference on Symbolic and Numerical Scientific Computation, SNSC 2001, held in Hagenberg, Austria, in September 2001. The 19 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers are organized in topical sections on symbolics and numerics of differential equations, symbolics and numerics in algebra and geometry, and applications in physics and engineering.

Symbolic Computation

Robert Grossman
Symbolic Computation Book PDF

Author : Robert Grossman
Publisher : SIAM
Page : 191 pages
File Size : 51,6 Mb
Release : 1989-01-01
Category : Technology & Engineering
ISBN : 9780898712391

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Symbolic Computation by Robert Grossman Pdf

Mathematics of Computing -- Numerical Analysis.

Projects in Scientific Computation

Richard E. Crandall
Projects in Scientific Computation Book PDF

Author : Richard E. Crandall
Publisher : Springer Science & Business Media
Page : 500 pages
File Size : 52,9 Mb
Release : 2000-06-22
Category : Computers
ISBN : 0387950095

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Projects in Scientific Computation by Richard E. Crandall Pdf

This interdisciplinary book provides a compendium of projects, plus numerous example programs for readers to study and explore. Designed for advanced undergraduates or graduates of science, mathematics and engineering who will deal with scientific computation in their future studies and research, it also contains new and useful reference materials for researchers. The problem sets range from the tutorial to exploratory and, at times, to "the impossible". The projects were collected from research results and computational dilemmas during the authors tenure as Chief Scientist at NeXT Computer, and from his lectures at Reed College. The content assumes familiarity with such college topics as calculus, differential equations, and at least elementary programming. Each project focuses on computation, theory, graphics, or a combination of these, and is designed with an estimated level of difficulty. The support code for each takes the form of either C or Mathematica, and is included in the appendix and on the bundled diskette. The algorithms are clearly laid out within the projects, such that the book may be used with other symbolic numerical and algebraic manipulation products

Numerical and Symbolic Computation

Maria Amélia Ramos Loja ,Joaquim Infante Barbosa
Numerical and Symbolic Computation Book PDF

Author : Maria Amélia Ramos Loja ,Joaquim Infante Barbosa
Publisher : MDPI
Page : 140 pages
File Size : 42,9 Mb
Release : 2020-12-29
Category : Technology & Engineering
ISBN : 9783039369522

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Numerical and Symbolic Computation by Maria Amélia Ramos Loja ,Joaquim Infante Barbosa Pdf

This book is a comprehensive set of articles reflecting on the application of symbolic and/or numerical computation in a range of scientific areas within the fields of engineering and science. These articles constitute extended versions of communications presented at the 4th International Conference on Numerical and Symbolic Computation—SYMCOMP 2019—that took place in Porto, Portugal, from 11 to 12 April 2019 The different chapters present diverse perspectives on the existing effective connections between mathematical methods and procedures and other knowledge areas. The intrinsic multidisciplinary character is visible throughout the whole book as a result of the applicability of the scope and the applications considered. The reader will find this book to be a useful resource for identifying problems of interest in different engineering and science areas, and in the development of mathematical models and procedures used in the context of prediction or verification computational tools as well as in the aided-learning/teaching context. This book is a must-read for anyone interested in the recent developments and applications of symbolic and numerical computation for a number of multidisciplinary engineering and science problems.

Symbolic and Numerical Scientific Computation

Franz Winkler,Ulrich Langer
Symbolic and Numerical Scientific Computation Book PDF

Author : Franz Winkler,Ulrich Langer
Publisher : Springer
Page : 392 pages
File Size : 50,6 Mb
Release : 2014-03-12
Category : Computers
ISBN : 3662184923

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Symbolic and Numerical Scientific Computation by Franz Winkler,Ulrich Langer Pdf

The thoroughly refereed post-proceedings of the Second International Conference on Symbolic and Numerical Scientific Computation, SNSC 2001, held in Hagenberg, Austria, in September 2001. The 19 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers are organized in topical sections on symbolics and numerics of differential equations, symbolics and numerics in algebra and geometry, and applications in physics and engineering.

Symbolic and Numerical Scientific Computation

Franz Winkler,Ulrich Langer
Symbolic and Numerical Scientific Computation Book PDF

Author : Franz Winkler,Ulrich Langer
Publisher : Springer
Page : 392 pages
File Size : 47,9 Mb
Release : 2003-06-30
Category : Computers
ISBN : 3540405542

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Symbolic and Numerical Scientific Computation by Franz Winkler,Ulrich Langer Pdf

The thoroughly refereed post-proceedings of the Second International Conference on Symbolic and Numerical Scientific Computation, SNSC 2001, held in Hagenberg, Austria, in September 2001. The 19 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers are organized in topical sections on symbolics and numerics of differential equations, symbolics and numerics in algebra and geometry, and applications in physics and engineering.

Advances in the Design of Symbolic Computation Systems

Alfonso Miola,Marco Temperini
Advances in the Design of Symbolic Computation Systems Book PDF

Author : Alfonso Miola,Marco Temperini
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783709165317

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Advances in the Design of Symbolic Computation Systems by Alfonso Miola,Marco Temperini Pdf

New methodological aspects related to design and implementation of symbolic computation systems are considered in this volume aiming at integrating such aspects into a homogeneous software environment for scientific computation. The proposed methodology is based on a combination of different techniques: algebraic specification through modular approach and completion algorithms, approximated and exact algebraic computing methods, object-oriented programming paradigm, automated theorem proving through methods à la Hilbert and methods of natural deduction. In particular the proposed treatment of mathematical objects, via techniques for method abstraction, structures classification, and exact representation, the programming methodology which supports the design and implementation issues, and reasoning capabilities supported by the whole framework are described.

axịomTM

Richard D. Jenks,Robert S. Sutor
ax omTM Book PDF

Author : Richard D. Jenks,Robert S. Sutor
Publisher : Springer
Page : 765 pages
File Size : 49,7 Mb
Release : 2013-12-21
Category : Mathematics
ISBN : 9781461229407

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axịomTM by Richard D. Jenks,Robert S. Sutor Pdf

Recent advances in hardware performance and software technology have made possible a wholly different approach to computational mathematics. Symbolic computation systems have revolutionized the field, building upon established and recent mathematical theory to open new possibilities in virtually every industry. Formerly dubbed Scratchpad, AXIOM is a powerful new symbolic and numerical system developed at the IBM Thomas J. Watson Research Center. AXIOM's scope, structure, and organization make it outstanding among computer algebra systems. AXIOM: The Scientific Computation System is a companion to the AXIOM system. The text is written in a straightforward style and begins with a spirited foreword by David and Gregory Chudnovsky. The book gives the reader a technical introduction to AXIOM, interacts with the system's tutorial, accesses algorithms newly developed by the symbolic computation community, and presents advanced programming and problem solving techniques. Eighty illustrations and eight pages of color inserts accompany text detailing methods used in the 2D and 3D interactive graphics system, and over 2500 example input lines help the reader solve formerly intractable problems.

Computer Algebra in Scientific Computing

Vladimir P. Gerdt,Wolfram Koepf,Ernst W. Mayr,Evgenii V. Vorozhtsov
Computer Algebra in Scientific Computing Book PDF

Author : Vladimir P. Gerdt,Wolfram Koepf,Ernst W. Mayr,Evgenii V. Vorozhtsov
Publisher : Springer
Page : 368 pages
File Size : 45,8 Mb
Release : 2011-09-01
Category : Computers
ISBN : 9783642235689

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Computer Algebra in Scientific Computing by Vladimir P. Gerdt,Wolfram Koepf,Ernst W. Mayr,Evgenii V. Vorozhtsov Pdf

This book constitutes the refereed proceedings of the 13th International Workshop on Computer Algebra in Scientific Computing, CASC 2011, held in Kassel, Germany, in September 2011. The 26 full papers included in the book were carefully reviewed and selected from numerous submissions. The articles are organized in topical sections on the development of object oriented computer algebra software for the modeling of algebraic structures as typed objects; matrix algorithms; the investigation with the aid of computer algebra; the development of symbolic-numerical algorithms; and the application of symbolic computations in applied problems of physics, mechanics, social science, and engineering.

Computer - Human Interaction in Symbolic Computation

Norbert Kajler
Computer Human Interaction in Symbolic Computation Book PDF

Author : Norbert Kajler
Publisher : Springer Science & Business Media
Page : 222 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783709164617

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Computer - Human Interaction in Symbolic Computation by Norbert Kajler Pdf

The well attended March 1994 HIse workshop in Amsterdam was a very lively con ference which stimulated much discussion and human-human interaction. As the editor of this volume points out, the Amsterdam meeting was just part of a year-long project that brought many people together from many parts of the world. The value of the effort was not only in generating new ideas, but in making people aware of work that has gone on on many fronts in using computers to make mathematics more understandable. The author was very glad he attended the workshop. * In thinking back over the conference and in reading the papers in this collection, the author feels there are perhaps four major conclusions to be drawn from the current state of work: 1. graphics is very important, but such features should be made as easy to use as possible; 2. symbolic mathematical computation is very powerful, but the user must be able to see "intermediate steps"; 3. system design has made much progress, but for semester-long coursework and book-length productions we need more tools to help composition and navigation; 4. monolithic systems are perhaps not the best direction for the future, as different users have different needs and may have to link together many kinds of tools. The editor of this volume and the authors of the papers presented here have also reached and documented similar conclusions.

axịomTM

Richard D. Jenks,Robert S. Sutor
ax omTM Book PDF

Author : Richard D. Jenks,Robert S. Sutor
Publisher : Springer
Page : 0 pages
File Size : 43,8 Mb
Release : 1992-08-20
Category : Mathematics
ISBN : 0387978550

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axịomTM by Richard D. Jenks,Robert S. Sutor Pdf

Recent advances in hardware performance and software technology have made possible a wholly different approach to computational mathematics. Symbolic computation systems have revolutionized the field, building upon established and recent mathematical theory to open new possibilities in virtually every industry. Formerly dubbed Scratchpad, AXIOM is a powerful new symbolic and numerical system developed at the IBM Thomas J. Watson Research Center. AXIOM's scope, structure, and organization make it outstanding among computer algebra systems. AXIOM: The Scientific Computation System is a companion to the AXIOM system. The text is written in a straightforward style and begins with a spirited foreword by David and Gregory Chudnovsky. The book gives the reader a technical introduction to AXIOM, interacts with the system's tutorial, accesses algorithms newly developed by the symbolic computation community, and presents advanced programming and problem solving techniques. Eighty illustrations and eight pages of color inserts accompany text detailing methods used in the 2D and 3D interactive graphics system, and over 2500 example input lines help the reader solve formerly intractable problems.