Overview

The Workshop on Group Theory and Numerical Analysis brought together scientists working in several different but related areas. The unifying theme was the application of group theory and geometrical methods to the solution of differential and difference equations. The emphasis was on the combination of analytical and numerical methods and also the use of symbolic computation. This meeting was organized under the auspices of the Centre de Recherches Mathematiques, Universite de Montreal (Canada). This volume has the character of a monograph and should represent a useful reference book for scientists working in this highly topical field.

Full Product Details

Author:   P. Winternitz ,  D. Gomez-Ullate ,  A. Iserles ,  D. Levi
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   illustrated edition
Volume:   No. 39
Weight:   0.567kg
ISBN:  

9780821835654

ISBN 10:   0821835653
Pages:   320
Publication Date:   01 September 2005
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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Table of Contents

Continuous extension of the discrete cosine transform, and its applications to data processing by A. M. Atoyan and J. Patera Symbolic algorithms for the Painleve test, special solutions, and recursion operators for nonlinear PDEs by D. Baldwin, W. Hereman, and J. Sayers Continuum limit of lattice approximation schemes by C. M. Bender Algebraic structures on ordered rooted trees and their significance to Lie group integrators by H. Berland and B. Owren Aspects of generalized double-bracket flows by A. M. Bloch and A. Iserles Eulerian and semi-Lagrangian schemes based on commutator-free exponential integrators by E. Celledoni Second order linear ODEs: Two non-Liouvillian approaches by E. S. Cheb-Terrab On rational solutions of the fourth Painleve equation and its Hamiltonian by P. A. Clarkson Comparison of symmetry preserving difference schemes with standard numerical methods by C. Cyr-Gagnon Symbolic computation of polynomial conserved densities, generalized symmetries, and recursion operators for nonlinear differential-difference equations by W. Hereman, J. A. Sanders, J. Sayers, and J. P. Wang On the numerical analysis of rapid oscillation by A. Iserles On conservation properties of semidiscrete canonical Hamiltonian equations by R. Kozlov Discrete Lie symmetries for difference equations by D. Levi and M. A. Rodriguez Trivializations, factorizations, and geometric integration for pseudo-rigid bodies by D. Lewis Towards a variational complex for the finite element method by E. L. Mansfield and G. R. W. Quispel Models of resonantly driven motion of motor proteins in 2D potentials by J. Middleton and J. A. Tuszynski Determination of approximate symmetries of differential equations by J. Bonasia, F. Lemaire, G. Reid, R. Scott, and L. Zhi Discrete and finite fractional Fourier transform by K. B. Wolf Some nanotube-like systems and their discrete equations by W. J. Zakrzewski Explicit multipoint rational interpolation Pade table for exponential and power functions by A. Zhedanov.

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