Differential Equations And Computer Algebra

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Computer Algebra And Differential Equations

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Author : E. Tournier
language : en
Publisher:
Release Date : 1989

Computer Algebra And Differential Equations written by E. Tournier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.

Ordinary differential equations have been studied by mathematicians for many years and the standard techniques have been either by series expansions or by numerical methods. Computer algebra has introduced an alternative means of treating differential equations and solving them more readily.**This volume assembles contributions from leading mathematicians in this growing field of computer algebra.

Continuous Symmetries Lie Algebras Differential Equations And Computer Algebra

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Author : Willi-hans Steeb
language : en
Publisher: World Scientific Publishing Company
Release Date : 1996-09-30

Continuous Symmetries Lie Algebras Differential Equations And Computer Algebra 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 1996-09-30 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.

Involution

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Author : Werner M. Seiler
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-26

Involution written by Werner M. Seiler 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 2009-10-26 with Mathematics categories.

The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas.

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.

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.

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.

Ordinary Differential Equations And Linear Algebra

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Author : Todd Kapitula
language : en
Publisher: SIAM
Release Date : 2015-11-17

Ordinary Differential Equations And Linear Algebra written by Todd Kapitula and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-17 with Mathematics categories.

Ordinary differential equations (ODEs) and linear algebra are foundational postcalculus mathematics courses in the sciences. The goal of this text is to help students master both subject areas in a one-semester course. Linear algebra is developed first, with an eye toward solving linear systems of ODEs. A computer algebra system is used for intermediate calculations (Gaussian elimination, complicated integrals, etc.); however, the text is not tailored toward a particular system. Ordinary Differential Equations and Linear Algebra: A Systems Approach systematically develops the linear algebra needed to solve systems of ODEs and includes over 15 distinct applications of the theory, many of which are not typically seen in a textbook at this level (e.g., lead poisoning, SIR models, digital filters). It emphasizes mathematical modeling and contains group projects at the end of each chapter that allow students to more fully explore the interaction between the modeling of a system, the solution of the model, and the resulting physical description.

Computational Differential Equations

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Author : Kenneth Eriksson
language : en
Publisher: Cambridge University Press
Release Date : 1996-09-05

Computational Differential Equations written by Kenneth Eriksson 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 1996-09-05 with Mathematics categories.

This textbook on computational mathematics is based on a fusion of mathematical analysis, numerical computation and applications.

Symmetry Analysis Of Differential Equations With Mathematica

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Author : Gerd Baumann
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-04-20

Symmetry Analysis Of Differential Equations With Mathematica written by Gerd Baumann 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 2000-04-20 with Mathematics categories.

The first book to explicitly use Mathematica so as to allow researchers and students to more easily compute and solve almost any kind of differential equation using Lie's theory. Previously time-consuming and cumbersome calculations are now much more easily and quickly performed using the Mathematica computer algebra software. The material in this book, and on the accompanying CD-ROM, will be of interest to a broad group of scientists, mathematicians and engineers involved in dealing with symmetry analysis of differential equations. Each section of the book starts with a theoretical discussion of the material, then shows the application in connection with Mathematica. The cross-platform CD-ROM contains Mathematica (version 3.0) notebooks which allow users to directly interact with the code presented within the book. In addition, the author's proprietary "MathLie" software is included, so users can readily learn to use this powerful tool in regard to performing algebraic computations.

Continuous Symmetries Lie Algebras Differential Equations And Computer Algebra 2nd Edition

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Author : Willi-hans Steeb
language : en
Publisher:
Release Date : 2007

Continuous Symmetries Lie Algebras Differential Equations And Computer Algebra 2nd Edition written by Willi-hans Steeb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.