Differential Equations With Symbolic Computation

Author : Dongming Wang
Publisher : Springer Science & Business Media
ISBN 13 : 3764374292
Total Pages : 374 pages
Book Rating : 4.97/5 ( download)

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Download or read book Differential Equations with Symbolic Computation written by Dongming Wang and published by Springer Science & Business Media. This book was released on 2006-03-16 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Alban Quadrat
Publisher : Springer
ISBN 13 : 9783030383558
Total Pages : 311 pages
Book Rating : 4.55/5 ( download)

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Download or read book Algebraic and Symbolic Computation Methods in Dynamical Systems written by Alban Quadrat and published by Springer. This book was released on 2020-04-07 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.

Author : Joseph Krasil'shchik
Publisher : Springer
ISBN 13 : 3319716557
Total Pages : 263 pages
Book Rating : 4.58/5 ( download)

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Download or read book The Symbolic Computation of Integrability Structures for Partial Differential Equations written by Joseph Krasil'shchik and published by Springer. This book was released on 2018-04-03 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book devoted to the task of computing integrability structures by computer. The symbolic computation of integrability operator is a computationally hard problem and the book covers a huge number of situations through tutorials. The mathematical part of the book is a new approach to integrability structures that allows to treat all of them in a unified way. The software is an official package of Reduce. Reduce is free software, so everybody can download it and make experiments using the programs available at our website.

Author : Emiliano Grossman
Publisher :
ISBN 13 : 9780849373718
Total Pages : pages
Book Rating : 4.19/5 ( download)

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Download or read book Progress in Computing written by Emiliano Grossman and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Dean G. Duffy
Publisher : CRC Press
ISBN 13 : 1420035142
Total Pages : 727 pages
Book Rating : 4.48/5 ( download)

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Download or read book Transform Methods for Solving Partial Differential Equations written by Dean G. Duffy and published by CRC Press. This book was released on 2004-07-15 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transform methods provide a bridge between the commonly used method of separation of variables and numerical techniques for solving linear partial differential equations. While in some ways similar to separation of variables, transform methods can be effective for a wider class of problems. Even when the inverse of the transform cannot be found ana

Author : Alban Quadrat
Publisher : Springer Nature
ISBN 13 : 3030383563
Total Pages : 320 pages
Book Rating : 4.65/5 ( download)

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Download or read book Algebraic and Symbolic Computation Methods in Dynamical Systems written by Alban Quadrat and published by Springer Nature. This book was released on 2020-05-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.

Author : Ulrich Langer
Publisher : Springer Science & Business Media
ISBN 13 : 3709107946
Total Pages : 361 pages
Book Rating : 4.42/5 ( download)

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Download or read book Numerical and Symbolic Scientific Computing written by Ulrich Langer and published by Springer Science & Business Media. This book was released on 2011-11-19 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Michael F. Singer
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.69/5 ( download)

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Download or read book Differential Equations and Computer Algebra written by Michael F. Singer and published by . This book was released on 1991 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Ulrich Langer
Publisher : Springer
ISBN 13 : 9783709107959
Total Pages : 358 pages
Book Rating : 4.54/5 ( download)

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Download or read book Numerical and Symbolic Scientific Computing written by Ulrich Langer and published by Springer. This book was released on 2011-11-23 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Kenneth Eriksson
Publisher : Cambridge University Press
ISBN 13 : 9780521567381
Total Pages : 558 pages
Book Rating : 4.86/5 ( download)

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Download or read book Computational Differential Equations written by Kenneth Eriksson and published by Cambridge University Press. This book was released on 1996-09-05 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook on computational mathematics is based on a fusion of mathematical analysis, numerical computation and applications.