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Symbolic and Numerical Scientific Computation: Second International Conference, SNSC 2001, Hagenberg, Austria, September 10-11, 2001, Revised Papers / Edition 1

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Overview

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.

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Product Details

  • ISBN-13: 9783540405542
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 8/13/2003
  • Series: Lecture Notes in Computer Science Series , #2630
  • Edition description: 2003
  • Edition number: 1
  • Pages: 392
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.83 (d)

Table of Contents

Notes on Triangular Sets and Triangulation-Decomposition Algorithms I: Polynomial Systems 1
Notes on Triangular Sets and Triangulation-Decomposition Algorithms II: Differential Systems 40
Passive Complete Orthonomic Systems of PDEs and Involutive Bases of Polynomial Modules 88
Symmetries of Second- and Third-Order Ordinary Differential Equations 108
Symbolic Methods for the Equivalence Problem for Systems of Implicit Ordinary Differential Equations 140
On the Numerical Analysis of Overdetermined Linear Partial Differential Systems 152
Dynamical Aspects of Involutive Bases Computations 168
Congestion and Almost Invariant Sets in Dynamical Systems 183
Datagraphs in Algebraic Geometry and K3 Surfaces 210
Resultants and Neighborhoods of a Polynomial 225
Multi-variate Polynomials and Newton-Puiseux Expansions 240
Wavelets with Scale Dependent Properties 255
Accurate Numerical Fourier Transform in d-Dimensions 266
Exact Real Computation in Computer Algebra 279
Symbolic Methods for the Element Preconditioning Technique 293
Solving Symbolic and Numerical Problems in the Theory of Shells with Mathematica 309
A Symbolic Procedure for the Diagonalization of Linear PDEs in Accelerated Computational Engineering 347
Generation of the Quasi-solitons in the Lasers: Computer Algebra Approach to an Analysis 361
Nonlinear Periodic Waves in Shallow Water 375
Author Index 387
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