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Computer Algebra in Scientific Computing, CASC'99
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Computer Algebra in Scientific Computing, CASC'99

Computer Algebra in Scientific Computing, CASC'99

Proceedings of the Second Workshop on Computer Algebra in Scientific Computing, Munich, May 31 - June 4, 1999

V.G Ganzha, E.W. Mayr, E.V. Vorozhtsov

510 pages, parution le 01/07/1999

Résumé

This book contains papers submitted by the participants of the workshop on Computer Algebra in Scientific Computing CASC '99, as well as two invited papers. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scientific computing. Moreover, applications of computer algebra methods for the solution of current problems in group theory are treated, which mostly arise in mathematical physics. Another important trend which may be seen from the present collection of papers is the application of computer algebra methods to the development of new efficient analytic and numerical solvers, both for ordinary and partial differential equations. Some papers deal with algorithmic and software aspects associated with the implementation of computer algebra methods, or study the stability of satellite and mechanical systems, or the application of computer algebra to the solution of problems in technology.

Contents

  • Solution of Ordinary Differential Equations with MathLie
  • Analysis of Stability of Rational Approximations through Computer Algebra
  • An Automatic Symbolic-Numeric Taylor Series ODE Solver
  • About Normal Form Method
  • Computer Algebra Investigation of Equivalence in 4-node Plane Stress/Strain Finite Elements
  • Symmetry Theorems for the Newtonian 4- and 5-body Problems with Equal Masses
  • Symbolic Derivation of Different Class of High-order Compact Schemes for Partial Differential Equations
  • Implementation of Aerodynamic Computations with Mathematica
  • Completion of Linear Differential Systems to Involution
  • Constrained Hamiltonian Systems and Grobner Bases
  • Construction of Involutive Monomial Sets for Different Involutive Divisions
  • Partial Inverse Heuristic for the Approximate Solution of Non-linear Equations
  • Computing Cocycles on Simplicial Complexes
  • Bifurcations of Maps in the Software Package CONTENT
  • Extending a Java Based Framework for Scientific Software-Components
  • Symbolic-numeric Investigations for Stability Analysis of Satellite Systems
  • Quantization by Presentation: The Nambu-Goto String in 1+3 Dimensions
  • One Algorithm of Finding Solutions for the Systems with First Integrals
  • Cohomology of Lie Superalgebras of Hamiltonian Vector Fields: Computer Analysis
  • Computer Algebra Tools in Construction of Renormgroup Symmetries
  • Where Numerics Can Benefit from Computer Algebra in Finite Difference Modelling of Fluid Flows
  • Effectively Computation of Some Radicals of Submodules of Free Modules
  • Computations on Character Tables of Association Schemes
  • Investigation of Subgroup Embeddings by the Computer Algebra Package GAP
  • An Investigation into Stability of Conservative Mechanical Systems Using Analytic Calculations
  • Superfast Computations with Singular Structured Matrices over Abstract Fields
  • From Modeling to Simulation with Symbolic Computation: An Application to Design and Performance Analysis of Complex Optical Devices
  • A Symbolic Numeric Environment for Analyzing Measurement Data in Multi-Model Settings
  • Geometric Interpretation of Strong Inconsistency in Knowledge Based Systems
  • Indices and Solvability for General Systems of Differential Equations
  • Decomposing Systems of Polynomial Equations
  • Polynomials with Coefficients of Limited Accuracy
  • Localization of Roots of a Polynomial not Represented in Canonical Form
  • On Normalization of a Class of Polynomial Hamiltonians: From Ordinary and Inverse Points of View
  • On Multivariate Polynomial Decomposition
  • Complexity of Monomial Evaluations and Duality
  • On the Simplification of Nonlinear DAE Systems in Analog Circuit Design
  • Symbolic Analysis of Computational Algorithms with SYDNA

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) V.G Ganzha, E.W. Mayr, E.V. Vorozhtsov
Parution 01/07/1999
Nb. de pages 510
Format 16 x 24
Couverture Relié
Poids 886g
Intérieur Noir et Blanc
EAN13 9783540660477

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