Computer algebra in scientific computing
Casc '99
V.G Ganzha, E.W. Mayr, E.V. Vorozhtsov
554 pages, parution le 23/10/2001
Résumé
The book covers various topics of computer algebra methods,
algorithms and software applied to scientific computing. An
important topic presented in the book, which may be of
interest to researchers and engineers, is the application
of computer algebra methods to the development of new
efficient analytic and numerical solvers, both for ordinary
and partial differential equations. A specific feature of
the book is an intense use of advanced software systems
such as Mathematica, Maple etc. for the solution of
problems as outlined above and for the industrial
application of computer algebra for simulation. The book
will be useful for researchers and engineers who apply
advanced computer algebra methods for the solution of their
problems.
Contents
- Solution of Ordinary Differential Equations with MathLie
- Gerd Baumann
- Analysis of Stability of Rational Approximations through Computer Algebra
- Massimo Cafaro, Beatrice Paternoster
- An Automatic Symbolic-Numeric Taylor Series ODE Solver
- Brian J. Dupee, James H. Davenport
- About Normal Form Method
- Victor F. Edneral
- Computer Algebra Investigation of Equivalence in 4-node Plane Stress/Strain Finite Elements
- Anders Eriksson, Yunhua Luo, Costin Pacoste
- Symmetry Theorems for the Newtonian 4- and 5-body Problems with Equal Masses
- Jean-Charles Faugere, Ilias Kotsireas
- Symbolic Derivation of Different Class of High-order Compact Schemes for Partial Differential Equations
- Michel Fournie
- Implementation of Aerodynamic Computations with Mathematica
- Victor G. Ganzha, Evgenii V. Vorozhtsov
- Completion of Linear Differential Systems to Involution
- Vladimir P. Gerdt
- Constrained Hamiltonian Systems and Grobner Bases
- Vladimir P. Gerdt, Soso A. Gogilidze
- Construction of Involutive Monomial Sets for Different Involutive Divisions
- Vladimir P. Gerdt, Vladimir V. Kornyak, Matthias Berth, (et al.)
- Partial Inverse Heuristic for the Approximate Solution of Non-linear Equations
- Gaston H. Gonnet, Allan Bonadio
- Computing Cocycles on Simplicial Complexes
- Rocio Gonzalez-Diaz, Pedro Real
- Bifurcations of Maps in the Software Package CONTENT
- W. Govaerts, Yu. A. Kuznetsov, B. Sijnave
- Extending a Java Based Framework for Scientific Software-Components
- Manfred Gobel, Wolfgang Kuchlin, Stefan Muller, (et al.)
- Symbolic-numeric Investigations for Stability Analysis of Satellite Systems
- Sergey A. Gutnik
- Quantization by Presentation: The Nambu-Goto String in 1+3 Dimensions
- Gerrit Handrich
- One Algorithm of Finding Solutions for the Systems with First Integrals
- Valentin Irtegov, Tatyana Titorenko
- Cohomology of Lie Superalgebras of Hamiltonian Vector Fields: Computer Analysis
- Vladimir V. Kornyak
- Computer Algebra Tools in Construction of Renormgroup Symmetries
- Vladimir F. Kovalev
- Where Numerics Can Benefit from Computer Algebra in Finite Difference Modelling of Fluid Flows
- Richard Liska, Burton Wendroff
- Effectively Computation of Some Radicals of Submodules of Free Modules
- Agustin Marcelo, Felix Marcelo, Cesar Rodriguez
- Computations on Character Tables of Association Schemes
- Edgar Martinez-Moro
- Investigation of Subgroup Embeddings by the Computer Algebra Package GAP
- V. I. Mysovskikh
- An Investigation into Stability of Conservative Mechanical Systems Using Analytic Calculations
- M. A. Novickov
- Superfast Computations with Singular Structured Matrices over Abstract Fields
- V. Y. Pan, A. Zheng, M. Abu Tabanjeh, (et al.)
- From Modeling to Simulation with Symbolic Computation: An Application to Design and Performance Analysis of Complex Optical Devices
- Yves A. Papegay
- A Symbolic Numeric Environment for Analyzing Measurement Data in Multi-Model Settings
- Christoph Richard, Andreas Weber
- Geometric Interpretation of Strong Inconsistency in Knowledge Based Systems
- E. Roanes-Lozano, E. Roanes-Macias, L. M. Laita
- Indices and Solvability for General Systems of Differential Equations
- Werner M. Seiler
- Decomposing Systems of Polynomial Equations
- Rainer Steinwandt
- Polynomials with Coefficients of Limited Accuracy
- Hans J. Stetter
- Localization of Roots of a Polynomial not Represented in Canonical Form
- Alexei Yu. Uteshev
- On Normalization of a Class of Polynomial Hamiltonians: From Ordinary and Inverse Points of View
- Yoshio Uwano, Nikolai Chekanov, Vitaly Rostovtsev, (et al.)
- On Multivariate Polynomial Decomposition
- Joachim von zur Gathen, Jaime Gutierrez, Rosario Rubio
- Complexity of Monomial Evaluations and Duality
- Nikolai N. Vassiliev
- On the Simplification of Nonlinear DAE Systems in Analog Circuit Design
- Tim Wichmann, Ralf Popp, Walter Hartong, (et al.)
- Symbolic Analysis of Computational Algorithms with SYDNA
- Radu Zapotinschi
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | V.G Ganzha, E.W. Mayr, E.V. Vorozhtsov |
| Parution | 23/10/2001 |
| Nb. de pages | 554 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 950g |
| Intérieur | Noir et Blanc |
| EAN13 | 9783540423553 |
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