Computer Simulation And Computer Algebra

Author : Dietrich Stauffer,Friedrich W Hehl,Volker Winkelmann,John G. Zabolitzky
Publisher : Springer Science & Business Media
Page : 148 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642971747

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Computer Simulation and Computer Algebra by Dietrich Stauffer,Friedrich W Hehl,Volker Winkelmann,John G. Zabolitzky Pdf

The chapter on statistical-physics simulations has been enlarged, mainly by a dis cussion of multispin coding techniques for the Ising model (bit-by-bit parallel oper ations). In the chapter about Reduce, some details of the presentation have been cor rected or clarified. The new operator MATEIGEN for the computation of eigenvec tors of matrices is explained. The first chapter and the appendix remain unchanged. Needless to say, the field of computational science is advancing so quickly, for ex ample with the development of parallel, as opposed to vectorized, algorithms, that it will not be too long before a further edition is called for. Cologne, March 1989 The authors Preface to the First Edition Computers play an increasingly important role in many of today's activities, and correspondingly physicists find employment after graduation in computer related jobs, often quite remote from their physics education. The present lectures, on the other hand, emphasize how we can use computers for the purposes of fundamental research in physics. Thus we do not deal with programs designed for newspapers, banks, or travel agencies, i.e., word processing and storage of large amounts of data.

Author : Dietrich Stauffer
Publisher : Springer
Page : 0 pages
File Size : 52,5 Mb
Release : 1988
Category : Computers
ISBN : 0387189092

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Computer Simulation and Computer Algebra by Dietrich Stauffer Pdf

Author : Dietrich Stauffer,Friedrich W Hehl,Volker Winkelmann
Publisher : Unknown
Page : 170 pages
File Size : 55,7 Mb
Release : 1988-07-29
Category : Algebra computacional
ISBN : 3642970923

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Computer Simulation and Computer Algebra by Dietrich Stauffer,Friedrich W Hehl,Volker Winkelmann Pdf

This text is based on the authors' broad experience in teaching the application of computers to physics. It takes the reader from the introductory simulation of classical mechanical problems (part one) to current research in statistical physics. The Ising model, cellular automata, percolation, Eden clusters and the Kauffman model are presented with exercises and programs for hands-on use with the aim of enabling and encouraging the student to write her/his own programs. The third part gives a detailed course into algebraic formula manipulation using the computer algebra system REDUCE, again with numerous examples and exercises. These "lectures for beginners" do not require any previous knowledge of computer languages, but a brief introduction to FORTRAN and BASIC can be found in the appendix.

Author : Richard Enns,George C. McGuire
Publisher : Springer Science & Business Media
Page : 785 pages
File Size : 40,8 Mb
Release : 2013-03-07
Category : Mathematics
ISBN : 9781461301714

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Computer Algebra Recipes by Richard Enns,George C. McGuire Pdf

Computer algebra systems allow students to work on mathematical models more efficiently than in the case of pencil and paper. The use of such systems also leads to fewer errors and enables students to work on complex and computationally intensive models. Aimed at undergraduates in their second or third year, this book is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, physics, and chemistry. The text includes a large number of Maple(R) recipes.

Author : Dietrich Stauffer,Friedrich W Hehl,Nobuyasu Ito,Volker Winkelmann,John G. Zabolitzky
Publisher : Springer Science & Business Media
Page : 279 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642781179

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Computer Simulation and Computer Algebra by Dietrich Stauffer,Friedrich W Hehl,Nobuyasu Ito,Volker Winkelmann,John G. Zabolitzky Pdf

Computer Simulation and Computer Algebra. Starting from simple examples in classical mechanics, these introductory lectures proceed to simulations in statistical physics (using FORTRAN) and then explain in detail the use of computer algebra (by means of Reduce). This third edition takes into account the most recent version of Reduce (3.4.1) and updates the description of large-scale simulations to subjects such as the 170000 X 170000 Ising model. Furthermore, an introduction to both vector and parallel computing is given.

Author : D. Stauffer,Friedrich W. Hehl,Nobuyasu Ito,Volker Winkelmann,John G. Zabolitzky
Publisher : Springer
Page : 287 pages
File Size : 41,7 Mb
Release : 2011-12-29
Category : Computers
ISBN : 3642781187

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Computer Simulation and Computer Algebra by D. Stauffer,Friedrich W. Hehl,Nobuyasu Ito,Volker Winkelmann,John G. Zabolitzky Pdf

Computer Simulation and Computer Algebra. Starting from simple examples in classical mechanics, these introductory lectures proceed to simulations in statistical physics (using FORTRAN) and then explain in detail the use of computer algebra (by means of Reduce). This third edition takes into account the most recent version of Reduce (3.4.1) and updates the description of large-scale simulations to subjects such as the 170000 X 170000 Ising model. Furthermore, an introduction to both vector and parallel computing is given.

Author : Richard H. Enns,George C. McGuire
Publisher : Springer
Page : 374 pages
File Size : 48,5 Mb
Release : 2007-03-13
Category : Mathematics
ISBN : 0387257683

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Computer Algebra Recipes by Richard H. Enns,George C. McGuire Pdf

This book presents a large number of computer algebra worksheets or "recipes" that have been designed using MAPLE to provide tools for problem solving and to stimulate critical thinking. No prior knowledge of MAPLE is necessary. All relevant commands are introduced on a need-to-know basis and are indexed for easy reference. Each recipe features a scientific model or method and an interesting or amusing story designed to both entertain and enhance concept comprehension and retention.

Author : Anonim
Publisher : Unknown
Page : 1080 pages
File Size : 51,6 Mb
Release : 1987
Category : Computer simulation
ISBN : UOM:49015000663980

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Proceedings of the Summer Computer Simulation Conference by Anonim Pdf

Author : Vladimir P. Gerdt,Wolfram Koepf,Werner M. Seiler,Evgenii V. Vorozhtsov
Publisher : Springer
Page : 513 pages
File Size : 47,8 Mb
Release : 2016-09-08
Category : Computers
ISBN : 9783319456416

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Computer Algebra in Scientific Computing by Vladimir P. Gerdt,Wolfram Koepf,Werner M. Seiler,Evgenii V. Vorozhtsov Pdf

This book constitutes the proceedings of the 18th International Workshop on Computer Algebra in Scientific Computing, CASC 2016, held in Bucharest, Romania, in September 2016. The 32 papers presented in this volume were carefully reviewed and selected from 39 submissions. They deal with cutting-edge research in all major disciplines of Computer Algebra.

Author : Johannes Grabmeier,Erich Kaltofen,Volker Weispfenning
Publisher : Springer Science & Business Media
Page : 656 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642558269

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Computer Algebra Handbook by Johannes Grabmeier,Erich Kaltofen,Volker Weispfenning Pdf

This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.

Author : Viktor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhtsov
Publisher : Springer Science & Business Media
Page : 543 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642566660

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Computer Algebra in Scientific Computing CASC 2001 by Viktor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhtsov Pdf

CASC 2001 continues a tradition ~ started in 1998 ~ of international con ferences on the latest advances in the application of computer algebra systems to the solution of various problems in scientific computing. The three ear (CASs) lier conferences in this sequence, CASC'98, CASC'99, and CASC 2000, were held, Petersburg, Russia, in Munich, Germany, and in Samarkand, respectively, in St. Uzbekistan, and proved to be very successful. We have to thank the program committee, listed overleaf, for a tremendous job in soliciting and providing reviews for the submitted papers. There were more than three reviews per submission on average. The result of this job is reflected in the present volume, which contains revised versions of the accepted papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. In particular, five papers are devoted to the implementation of the analysis of involutive systems with the aid of CASso The specific examples include new efficient algorithms for the computation of Janet bases for monomial ideals, involutive division, involutive reduction method, etc. A number of papers deal with application of CASs for obtaining and vali dating new exact solutions to initial and boundary value problems for partial differential equations in mathematical physics. Several papers show how CASs can be used to obtain analytic solutions of initial and boundary value problems for ordinary differential equations and for studying their properties.

Author : Vladimir Mityushev,Wojciech Nawalaniec,Natalia Rylko
Publisher : CRC Press
Page : 241 pages
File Size : 40,7 Mb
Release : 2018-02-19
Category : Mathematics
ISBN : 9781351998765

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Introduction to Mathematical Modeling and Computer Simulations by Vladimir Mityushev,Wojciech Nawalaniec,Natalia Rylko Pdf

Can be considered an interdisciplinary introduction to applied mathematics and to computer simulations. Some familiarity with calculus and algebra is assumed. Presents a systematic and self-contained presentation of the foundations of Mathematical Modeling. Discusses various ‘tricks' that can be used in Computer Simulations. Provides an exhaustive and clear explanation of how to develop and apply mathematical models, as well as corresponding codes for symbolic and numerical computations.

Author : J. Caldwell,Douglas K.S. Ng
Publisher : Springer Science & Business Media
Page : 252 pages
File Size : 53,6 Mb
Release : 2004-03-31
Category : Mathematics
ISBN : 9781402019913

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Mathematical Modelling by J. Caldwell,Douglas K.S. Ng Pdf

Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science, engineering, business and management. Recent developments in computer technology and related software have provided the necessary tools of increasing power and sophistication which have significant implications for the use and role of mathematical modelling in the above disciplines. In the past, traditional methods have relied heavily on expensive experimentation and the building of scaled models, but now a more flexible and cost effective approach is available through greater use of mathematical modelling and computer simulation. In particular, developments in computer algebra, symbolic manipulation packages and user friendly software packages for large scale problems, all have important implications in both the teaching of mathematical modelling and, more importantly, its use in the solution of real world problems. Many textbooks have been published which cover the art and techniques of modelling as well as specific mathematical modelling techniques in specialist areas within science and business. In most of these books the mathematical material tends to be rather tailor made to fit in with a one or two semester course for teaching students at the undergraduate or postgraduate level, usually the former. This textbook is quite different in that it is intended to build on and enhance students’ modelling skills using a combination of case studies and projects.

Author : Richard H. Enns
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 54,6 Mb
Release : 2006-03-20
Category : Science
ISBN : 9780817644277

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Computer Algebra Recipes for Mathematical Physics by Richard H. Enns Pdf

* Uses a pedagogical approach that makes a mathematically challenging subject easier and more fun to learn * Self-contained and standalone text that may be used in the classroom, for an online course, for self-study, as a reference * Using MAPLE allows the reader to easily and quickly change the models and parameters

Author : Victor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhtsov
Publisher : Springer Science & Business Media
Page : 507 pages
File Size : 44,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642602184

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Computer Algebra in Scientific Computing CASC’99 by Victor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhtsov Pdf

The development of powerful computer algebra systems has considerably ex tended the scope of problems of scientific computing which can now be solved successfully with the aid of computers. However, as the field of applications of computer algebra in scientific computing becomes broader and more complex, there is a danger of separation between theory, systems, and applications. For this reason, we felt the need to bring together the researchers who now ap ply the tools of computer algebra for the solution of problems in scientific computing, in order to foster new and closer interactions. CASC'99 is the second conference devoted to applications of computer al gebra in scientific computing. The first conference in this sequence, CASC'98, was held 20-24 April 1998 in St. Petersburg, Russia. This volume contains revised versions of the papers submitted by the par ticipants and accepted by the program committee after a thorough reviewing process. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scien tific computing: symbolic-numeric analysis and solving differential equations, efficient computations with polynomials, groups, matrices and other related objects, special purpose programming environments, application to physics, mechanics, optics and to other areas. In particular, a significant group of papers deals with applications of com puter algebra methods for the solution of current problems in group theory, which mostly arise in mathematical physics.