Computer Algebra And Differential Equations

Author : E. Tournier
Publisher : Cambridge University Press
ISBN 13 : 9780521447577
Total Pages : 272 pages
Book Rating : 4.77/5 ( download)

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Download or read book Computer Algebra and Differential Equations written by E. Tournier and published by Cambridge University Press. This book was released on 1994-03-03 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 3642012876
Total Pages : 663 pages
Book Rating : 4.77/5 ( download)

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Download or read book Involution written by Werner M. Seiler and published by Springer Science & Business Media. This book was released on 2009-10-26 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
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 : W.-H. Steeb
Publisher : World Scientific
ISBN 13 : 9789810228910
Total Pages : 380 pages
Book Rating : 4.10/5 ( download)

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Download or read book Continuous Symmetries, Lie Algebras, Differential Equations, and Computer Algebra written by W.-H. Steeb and published by World Scientific. This book was released on 1996 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Johannes Grabmeier
Publisher : Springer Science & Business Media
ISBN 13 : 3642558267
Total Pages : 656 pages
Book Rating : 4.69/5 ( download)

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Download or read book Computer Algebra Handbook written by Johannes Grabmeier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : W-H Steeb
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105038
Total Pages : 372 pages
Book Rating : 4.34/5 ( download)

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Download or read book Continuous Symmetries, Lie Algebras, Differential Equations and Computer Algebra written by W-H Steeb and published by World Scientific Publishing Company. This book was released on 1996-09-30 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : 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 : Richard Pavelle
Publisher : Springer Science & Business Media
ISBN 13 : 146846888X
Total Pages : 443 pages
Book Rating : 4.85/5 ( download)

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Download or read book Applications of Computer Algebra written by Richard Pavelle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today, certain computer software systems exist which surpass the computational ability of researchers when their mathematical techniques are applied to many areas of science and engineering. These computer systems can perform a large portion of the calculations seen in mathematical analysis. Despite this massive power, thousands of people use these systems as a routine resource for everyday calculations. These software programs are commonly called "Computer Algebra" systems. They have names such as MACSYMA, MAPLE, muMATH, REDUCE and SMP. They are receiving credit as a computational aid with in creasing regularity in articles in the scientific and engineering literature. When most people think about computers and scientific research these days, they imagine a machine grinding away, processing numbers arithmetically. It is not generally realized that, for a number of years, computers have been performing non-numeric computations. This means, for example, that one inputs an equa tion and obtains a closed form analytic answer. It is these Computer Algebra systems, their capabilities, and applications which are the subject of the papers in this volume.

Author : Viktor G. Ganzha
Publisher : Springer Science & Business Media
ISBN 13 : 3642566669
Total Pages : 543 pages
Book Rating : 4.60/5 ( download)

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Download or read book Computer Algebra in Scientific Computing CASC 2001 written by Viktor G. Ganzha and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: CASC 2001 continues a tradition ~ started in 1998 ~ of international con ferences on the latest advances in the application of computer algebra systems to the solution of various problems in scientific computing. The three ear (CASs) lier conferences in this sequence, CASC'98, CASC'99, and CASC 2000, were held, Petersburg, Russia, in Munich, Germany, and in Samarkand, respectively, in St. Uzbekistan, and proved to be very successful. We have to thank the program committee, listed overleaf, for a tremendous job in soliciting and providing reviews for the submitted papers. There were more than three reviews per submission on average. The result of this job is reflected in the present volume, which contains revised versions of the accepted papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. In particular, five papers are devoted to the implementation of the analysis of involutive systems with the aid of CASso The specific examples include new efficient algorithms for the computation of Janet bases for monomial ideals, involutive division, involutive reduction method, etc. A number of papers deal with application of CASs for obtaining and vali dating new exact solutions to initial and boundary value problems for partial differential equations in mathematical physics. Several papers show how CASs can be used to obtain analytic solutions of initial and boundary value problems for ordinary differential equations and for studying their properties.

Author : Carsten Schneider
Publisher : Springer Science & Business Media
ISBN 13 : 3709116163
Total Pages : 422 pages
Book Rating : 4.66/5 ( download)

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Download or read book Computer Algebra in Quantum Field Theory written by Carsten Schneider and published by Springer Science & Business Media. This book was released on 2013-10-05 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.