1.

Record Nr.

UNISA996465508203316

Titolo

Symbolic and Numerical Scientific Computation [[electronic resource] ] : Second International Conference, SNSC 2001, Hagenberg, Austria, September 10-11, 2001, Revised Papers / / edited by Franz Winkler, Ulrich Langer

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2003

ISBN

3-540-45084-X

Edizione

[1st ed. 2003.]

Descrizione fisica

1 online resource (XII, 392 p.)

Collana

Lecture Notes in Computer Science, , 0302-9743 ; ; 2630

Disciplina

515/.35

Soggetti

Numerical analysis

Computer science—Mathematics

Computer-aided engineering

Computer mathematics

Numeric Computing

Science, Humanities and Social Sciences, multidisciplinary

Discrete Mathematics in Computer Science

Symbolic and Algebraic Manipulation

Computer-Aided Engineering (CAD, CAE) and Design

Computational Mathematics and Numerical Analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references at the end of each chapters and index.

Nota di contenuto

Symbolics and Numerics of Differential Equations -- Notes on Triangular Sets and Triangulation-Decomposition Algorithms I: Polynomial Systems -- Notes on Triangular Sets and Triangulation-Decomposition Algorithms II: Differential Systems -- Passive Complete Orthonomic Systems of PDEs and Involutive Bases of Polynomial Modules -- Symmetries of Second- and Third-Order Ordinary Differential Equations -- Symbolic Methods for the Equivalence Problem for Systems of Implicit Ordinary Differential Equations -- On the Numerical Analysis of Overdetermined Linear Partial Differential Systems -- Dynamical Aspects of Involutive Bases Computations --



Symbolics and Numerics in Algebra and Geometry -- Congestion and Almost Invariant Sets in Dynamical Systems -- Datagraphs in Algebraic Geometry and K3 Surfaces -- Resultants and Neighborhoods of a Polynomial -- Multi-variate Polynomials and Newton-Puiseux Expansions -- Wavelets with Scale Dependent Properties -- Accurate Numerical Fourier Transform in d-Dimensions -- Exact Real Computation in Computer Algebra -- Symbolic Methods for the Element Preconditioning Technique -- Applications in Physics and Engineering -- Solving Symbolic and Numerical Problems in the Theory of Shells with Mathematica® -- A Symbolic Procedure for the Diagonalization of Linear PDEs in Accelerated Computational Engineering -- Generation of the Quasi-solitons in the Lasers: Computer Algebra Approach to an Analysis -- Nonlinear Periodic Waves in Shallow Water.

Sommario/riassunto

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.