Author : E. Tournier
Publisher : Cambridge University Press
Page : 272 pages
File Size : 31,43 MB
Release : 1994-03-03
Category : Mathematics
ISBN : 9780521447577
Selected papers from the Computer Algebra and Differential Equations meeting held in France in June 1992.
Author : Werner M. Seiler
Publisher : Springer Science & Business Media
Page : 663 pages
File Size : 38,11 MB
Release : 2009-10-26
Category : Mathematics
ISBN : 3642012876
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.
Author : Michael F. Singer
Publisher :
Page : 248 pages
File Size : 21,68 MB
Release : 1991
Category : Mathematics
ISBN :
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 : W.-H. Steeb
Publisher : World Scientific
Page : 380 pages
File Size : 28,53 MB
Release : 1996
Category : Science
ISBN : 9789810228910
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.
Author : Willi-hans Steeb
Publisher : World Scientific Publishing Company
Page : 472 pages
File Size : 39,79 MB
Release : 2007-07-26
Category : Science
ISBN : 9813107014
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.
Author : Dongming Wang
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 18,86 MB
Release : 2005-08-15
Category : Mathematics
ISBN : 9783764373689
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 : Todd Kapitula
Publisher : SIAM
Page : 308 pages
File Size : 40,59 MB
Release : 2015-11-17
Category : Mathematics
ISBN : 1611974097
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.
Author : Johannes Grabmeier
Publisher : Springer Science & Business Media
Page : 656 pages
File Size : 40,87 MB
Release : 2012-12-06
Category : Computers
ISBN : 3642558267
This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.
Author : Uri M. Ascher
Publisher : SIAM
Page : 305 pages
File Size : 13,55 MB
Release : 1998-01-01
Category : Mathematics
ISBN : 9781611971392
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.
Author : Carsten Schneider
Publisher : Springer Science & Business Media
Page : 422 pages
File Size : 35,24 MB
Release : 2013-10-05
Category : Science
ISBN : 3709116163
The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.
