Differential Equations With Symbolic Computation PDF Download
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| Author | : Dongming Wang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 374 |
| Release | : 2006-03-16 |
| Genre | : Mathematics |
| ISBN | : 3764374292 |
Download Differential Equations with Symbolic Computation Book in PDF, ePub and Kindle
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 |
| Total Pages | : 311 |
| Release | : 2020-04-07 |
| Genre | : Science |
| ISBN | : 9783030383558 |
Download Algebraic and Symbolic Computation Methods in Dynamical Systems Book in PDF, ePub and Kindle
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 |
| Total Pages | : 263 |
| Release | : 2018-04-03 |
| Genre | : Mathematics |
| ISBN | : 3319716557 |
Download The Symbolic Computation of Integrability Structures for Partial Differential Equations Book in PDF, ePub and Kindle
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 | : Dean G. Duffy |
| Publisher | : CRC Press |
| Total Pages | : 727 |
| Release | : 2004-07-15 |
| Genre | : Mathematics |
| ISBN | : 1420035142 |
Download Transform Methods for Solving Partial Differential Equations Book in PDF, ePub and Kindle
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 | : Emiliano Grossman |
| Publisher | : |
| Total Pages | : |
| Release | : 1995 |
| Genre | : |
| ISBN | : 9780849373718 |
Download Progress in Computing Book in PDF, ePub and Kindle
| Author | : Ulrich Langer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 361 |
| Release | : 2011-11-19 |
| Genre | : Mathematics |
| ISBN | : 3709107946 |
Download Numerical and Symbolic Scientific Computing Book in PDF, ePub and Kindle
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 | : Alban Quadrat |
| Publisher | : Springer Nature |
| Total Pages | : 320 |
| Release | : 2020-05-30 |
| Genre | : Science |
| ISBN | : 3030383563 |
Download Algebraic and Symbolic Computation Methods in Dynamical Systems Book in PDF, ePub and Kindle
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 | : Michael F. Singer |
| Publisher | : |
| Total Pages | : 248 |
| Release | : 1991 |
| Genre | : Mathematics |
| ISBN | : |
Download Differential Equations and Computer Algebra Book in PDF, ePub and Kindle
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 | : Adam Hudson |
| Publisher | : |
| Total Pages | : 246 |
| Release | : 1987 |
| Genre | : Differential equations, Partial |
| ISBN | : |
Download Symbolic Computation of Involutivity of Partial Differential Equations Book in PDF, ePub and Kindle
| Author | : Maria Amélia Ramos Loja |
| Publisher | : MDPI |
| Total Pages | : 140 |
| Release | : 2020-06-22 |
| Genre | : Technology & Engineering |
| ISBN | : 3039363026 |
Download Numerical and Symbolic Computation Book in PDF, ePub and Kindle
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.
