Differential Equations With Symbolic Computation
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Differential Equations With Symbolic Computation
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Author : Dongming Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-16
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 2006-03-16 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.
The Symbolic Computation Of Integrability Structures For Partial Differential Equations
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Author : Joseph Krasil'shchik
language : en
Publisher: Springer
Release Date : 2018-04-03
The Symbolic Computation Of Integrability Structures For Partial Differential Equations written by Joseph Krasil'shchik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-03 with Mathematics categories.
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.
Algebraic And Symbolic Computation Methods In Dynamical Systems
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Author : Alban Quadrat
language : en
Publisher: Springer Nature
Release Date : 2020-05-30
Algebraic And Symbolic Computation Methods In Dynamical Systems written by Alban Quadrat and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-30 with Science categories.
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.
Progress In Computing
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Author : Emiliano Grossman
language : en
Publisher:
Release Date : 1995
Progress In Computing written by Emiliano Grossman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Symbolic Computation Of Involutivity Of Partial Differential Equations
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Author : Adam Hudson
language : en
Publisher:
Release Date : 1987
Symbolic Computation Of Involutivity Of Partial Differential Equations written by Adam Hudson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Differential equations, Partial categories.
Numerical And Symbolic Scientific Computing
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Author : Ulrich Langer
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-19
Numerical And Symbolic Scientific Computing written by Ulrich Langer 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 2011-11-19 with Mathematics categories.
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.
Loewy Decomposition Of Linear Differential Equations
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Author : Fritz Schwarz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-29
Loewy Decomposition Of Linear Differential Equations written by Fritz Schwarz 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 2012-09-29 with Computers categories.
The central subject of the book is the generalization of Loewy's decomposition - originally introduced by him for linear ordinary differential equations - to linear partial differential equations. Equations for a single function in two independent variables of order two or three are comprehensively discussed. A complete list of possible solution types is given. Various ad hoc results available in the literature are obtained algorithmically. The border of decidability for generating a Loewy decomposition are explicitly stated. The methods applied may be generalized in an obvious way to equations of higher order, in more variables or systems of such equations.
Solutions Of Partial Differential Equations Using Symmetry And Symbolic Computation
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Author : Michael A. Barco
language : en
Publisher:
Release Date : 2000
Solutions Of Partial Differential Equations Using Symmetry And Symbolic Computation written by Michael A. Barco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Differential equations categories.
The Symbolic Computation Of Series Solutions To Ordinary Differential Equations Using Trees Extended Abstract
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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher: Independently Published
Release Date : 2019-01-03
The Symbolic Computation Of Series Solutions To Ordinary Differential Equations Using Trees Extended Abstract written by National Aeronautics and Space Adm Nasa and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-03 with categories.
Algorithms previously developed by the author give formulas which can be used for the efficient symbolic computation of series expansions to solutions of nonlinear systems of ordinary differential equations. As a by product of this analysis, formulas are derived which relate to trees to the coefficients of the series expansions, similar to the work of Leroux and Viennot, and Lamnabhi, Leroux and Viennot. Grossman, Robert NASA-CR-190333, NAS 1.26:190333 NAG2-513...
Numerical And Symbolic Computation
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Author : Maria Amélia Ramos Loja
language : en
Publisher: MDPI
Release Date : 2020-06-22
Numerical And Symbolic Computation written by Maria Amélia Ramos Loja and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-22 with Technology & Engineering categories.
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.