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| Author | : Adam Hudson |
| Publisher | : |
| Total Pages | : 246 |
| Release | : 1987 |
| Genre | : Differential equations, Partial |
| ISBN | : |
| Author | : Joseph Krasil'shchik |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2018-12-09 |
| Genre | : Mathematics |
| ISBN | : 9783030100889 |
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 | : Robert Grossman |
| Publisher | : SIAM |
| Total Pages | : 191 |
| Release | : 1989-01-01 |
| Genre | : Technology & Engineering |
| ISBN | : 9781611971033 |
This is a monograph that describes current research efforts in the application of symbolic computation to several areas, including dynamical systems, differential geometry, Lie algebras, numerical analysis, fluid dynamics, perturbation theory, control theory, and mechanics. The chapters, which illustrate how symbolic computations can be used to study various mathematical structures, are outgrowths of the invited talks that were presented at the NASA-Ames Workshop on The Use of Symbolic Methods to Solve Algebraic and Geometric Problems Arising in Engineering. More than 100 people participated in the two-day conference, which took place in January 1987 at the NASA-Ames Research Center in Moffett Field, California. The field of symbolic computation is becoming increasingly important in science, engineering, and mathematics. The availability of powerful computer algebra systems on workstations has made symbolic computation an important tool for many researchers.
| Author | : Werner M. Seiler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 663 |
| Release | : 2009-10-26 |
| Genre | : 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 | : Viktor G. Ganzha |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 543 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 3642566669 |
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 | : Markus Rosenkranz |
| Publisher | : Walter de Gruyter |
| Total Pages | : 361 |
| Release | : 2011-12-22 |
| Genre | : Mathematics |
| ISBN | : 3110922754 |
This volume contains survey articles and original research papers, presenting the state of the art on applying the symbolic approach of Gröbner bases and related methods to differential and difference equations. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods hosted by the Johann Radon Institute of Computational and Applied Mathematics, Linz, Austria, in May 2006.
| Author | : James M. Ortega |
| Publisher | : SIAM |
| Total Pages | : 99 |
| Release | : 1985-09-01 |
| Genre | : Mathematics |
| ISBN | : 0898710553 |
Mathematics of Computing -- Parallelism.
| Author | : Franz Winkler |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 399 |
| Release | : 2003-06-30 |
| Genre | : Computers |
| ISBN | : 3540405542 |
This book constitutes the thoroughly refereed post-proceedings of the Second International Conference on Symbolic and Numerical Scientific Computation, SNSC 2001, held in Hagenberg, Austria, in September 2001. The 19 revised full papers presented were carefully selected during two rounds of reviewing and improvement. The papers are organized in topical sections on symbolics and numerics of differential equations, symbolics and numerics in algebra and geometry, and applications in physics and engineering.
| Author | : Dongming Wang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 374 |
| Release | : 2006-03-16 |
| Genre | : Mathematics |
| ISBN | : 3764374292 |
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 | : W. Fitzgibbon |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 252 |
| Release | : 2010-01-08 |
| Genre | : Science |
| ISBN | : 9048132398 |
Standing at the intersection of mathematics and scientific computing, this collection of state-of-the-art papers in nonlinear PDEs examines their applications to subjects as diverse as dynamical systems, computational mechanics, and the mathematics of finance.
