Differential Equations And Computer Algebra
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Computer Algebra And Differential Equations
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Author : E. Tournier
language : en
Publisher: Cambridge University Press
Release Date : 1994-03-03
Computer Algebra And Differential Equations written by E. Tournier and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-03 with Mathematics categories.
Selected papers from the Computer Algebra and Differential Equations meeting held in France in June 1992.
Differential Equations And Computer Algebra
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Author : Michael F. Singer
language : en
Publisher:
Release Date : 1991
Differential Equations And Computer Algebra written by Michael F. Singer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Teaches computer algebra users about up-to-date research developments in differential equations, with selected papers from CADE 1990, held at Cornell University. Featuring US and European research figures, this book demonstrates scientific computing applications.
Differential Equations With Symbolic Computation
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Author : Dongming Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-15
Differential Equations With Symbolic Computation written by Dongming Wang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-15 with Mathematics categories.
This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions.
Continuous Symmetries Lie Algebras Differential Equations And Computer Algebra
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Author : W.-H. Steeb
language : en
Publisher: World Scientific
Release Date : 1996
Continuous Symmetries Lie Algebras Differential Equations And Computer Algebra written by W.-H. Steeb and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Science categories.
This book is a comprehensive introduction to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. It is suitable for students and research workers whose main interest lies in finding solutions to differential equations. It therefore caters for readers primarily interested in applied mathematics and physics rather than pure mathematics.The book provides an application-orientated text that is reasonably self-contained. A large number of worked examples have been included to help readers working independently of a teacher. The advance of algebraic computation has made it possible to write programs for the tedious calculations in this research field, and thus the book also makes a survey of computer algebra packages.
Continuous Symmetries Lie Algebras Differential Equations And Computer Algebra 2nd Edition
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Author : Willi-hans Steeb
language : en
Publisher: World Scientific Publishing Company
Release Date : 2007-07-26
Continuous Symmetries Lie Algebras Differential Equations And Computer Algebra 2nd Edition written by Willi-hans Steeb and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-26 with Science categories.
This textbook comprehensively introduces students and researchers to the application of continuous symmetries and their Lie algebras to ordinary and partial differential equations. Covering all the modern techniques in detail, it relates applications to cutting-edge research fields such as Yang-Mills theory and string theory.Aimed at readers in applied mathematics and physics rather than pure mathematics, the material is ideally suited to students and researchers whose main interest lies in finding solutions to differential equations and invariants of maps.A large number of worked examples and challenging exercises help readers to work independently of teachers, and by including SymbolicC++ implementations of the techniques in each chapter, the book takes full advantage of the advancements in algebraic computation.Twelve new sections have been added in this edition, including: Haar measure, Sato's theory and sigma functions, universal algebra, anti-self dual Yang-Mills equation, and discrete Painlevé equations.
Computer Methods For Ordinary Differential Equations And Differential Algebraic Equations
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Author : Uri M. Ascher
language : en
Publisher: SIAM
Release Date : 1998-01-01
Computer Methods For Ordinary Differential Equations And Differential Algebraic Equations written by Uri M. Ascher and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.
Designed for those people who want to gain a practical knowledge of modern techniques, this book contains all the material necessary for a course on the numerical solution of differential equations. Written by two of the field's leading authorities, it provides a unified presentation of initial value and boundary value problems in ODEs as well as differential-algebraic equations. The approach is aimed at a thorough understanding of the issues and methods for practical computation while avoiding an extensive theorem-proof type of exposition. It also addresses reasons why existing software succeeds or fails. This book is a practical and mathematically well-informed introduction that emphasizes basic methods and theory, issues in the use and development of mathematical software, and examples from scientific engineering applications. Topics requiring an extensive amount of mathematical development, such as symplectic methods for Hamiltonian systems, are introduced, motivated, and included in the exercises, but a complete and rigorous mathematical presentation is referenced rather than included.
Involution
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Author :
language : en
Publisher: Springer
Release Date : 2010
Involution written by and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Continuous Symmetries Lie Algebras Differential Equations And Computer Algebra
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Author : W.-H. Steeb
language : en
Publisher:
Release Date : 1996
Continuous Symmetries Lie Algebras Differential Equations And Computer Algebra written by W.-H. Steeb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Computer Aided Analysis Of Difference Schemes For Partial Differential Equations
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Author : Victor G. Ganzha
language : en
Publisher: John Wiley & Sons
Release Date : 1996-04-12
Computer Aided Analysis Of Difference Schemes For Partial Differential Equations written by Victor G. Ganzha and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-12 with Science categories.
Advances in computer technology have conveniently coincided withtrends in numerical analysis toward increased complexity ofcomputational algorithms based on finite difference methods. It isno longer feasible to perform stability investigation of thesemethods manually--and no longer necessary. As this book shows,modern computer algebra tools can be combined with methods fromnumerical analysis to generate programs that will do the jobautomatically. Comprehensive, timely, and accessible--this is the definitivereference on the application of computerized symbolic manipulationsfor analyzing the stability of a wide range of difference schemes.In particular, it deals with those schemes that are used to solvecomplex physical problems in areas such as gas dynamics, heat andmass transfer, catastrophe theory, elasticity, shallow watertheory, and more. Introducing many new applications, methods, and concepts,Computer-Aided Analysis of Difference Schemes for PartialDifferential Equations * Shows how computational algebra expedites the task of stabilityanalysis--whatever the approach to stability investigation * Covers ten different approaches for each stability method * Deals with the specific characteristics of each method and itsapplication to problems commonly encountered by numerical modelers * Describes all basic mathematical formulas that are necessary toimplement each algorithm * Provides each formula in several global algebraic symboliclanguages, such as MAPLE, MATHEMATICA, and REDUCE * Includes numerous illustrations and thought-provoking examplesthroughout the text For mathematicians, physicists, and engineers, as well as forpostgraduate students, and for anyone involved with numericsolutions for real-world physical problems, this book provides avaluable resource, a helpful guide, and a head start ondevelopments for the twenty-first century.
Computer Algebra In Scientific Computing Casc 99
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Author : Victor G. Ganzha
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computer Algebra In Scientific Computing Casc 99 written by Victor G. Ganzha and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
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.