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Symbolic and Numerical Scientific Computation

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Cover of 'Symbolic and Numerical Scientific Computation'

Table of Contents

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    Book Overview
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    Chapter 1 Notes on Triangular Sets and Triangulation-Decomposition Algorithms I: Polynomial Systems
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    Chapter 2 Notes on Triangular Sets and Triangulation-Decomposition Algorithms II: Differential Systems
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    Chapter 3 Passive Complete Orthonomic Systems of PDEs and Involutive Bases of Polynomial Modules
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    Chapter 4 Symmetries of Second- and Third-Order Ordinary Differential Equations
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    Chapter 5 Symbolic Methods for the Equivalence Problem for Systems of Implicit Ordinary Differential Equations
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    Chapter 6 On the Numerical Analysis of Overdetermined Linear Partial Differential Systems
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    Chapter 7 Dynamical Aspects of Involutive Bases Computations
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    Chapter 8 Congestion and Almost Invariant Sets in Dynamical Systems
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    Chapter 9 Datagraphs in Algebraic Geometry and K3 Surfaces
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    Chapter 10 Resultants and Neighborhoods of a Polynomial
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    Chapter 11 Multi-variate Polynomials and Newton-Puiseux Expansions
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    Chapter 12 Wavelets with Scale Dependent Properties
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    Chapter 13 Accurate Numerical Fourier Transform in d -Dimensions
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    Chapter 14 Exact Real Computation in Computer Algebra
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    Chapter 15 Symbolic Methods for the Element Preconditioning Technique
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    Chapter 16 Solving Symbolic and Numerical Problems in the Theory of Shells with Mathematica ®
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    Chapter 17 A Symbolic Procedure for the Diagonalization of Linear PDEs in Accelerated Computational Engineering
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    Chapter 18 Generation of the Quasi-solitons in the Lasers: Computer Algebra Approach to an Analysis
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    Chapter 19 Nonlinear Periodic Waves in Shallow Water
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Title
Symbolic and Numerical Scientific Computation
Published by
Springer Berlin Heidelberg, August 2003
DOI 10.1007/3-540-45084-x
ISBNs
978-3-54-040554-2, 978-3-54-045084-9
Editors

Winkler, Franz, Langer, Ulrich

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