CRM Proceedings & Lecture Notes 2005; 298 pp; softcover Volume: 39 ISBN10: 0821835653 ISBN13: 9780821835654 List Price: US$109 Member Price: US$87.20 Order Code: CRMP/39
 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 Mathématiques, Université de Montréal (Canada). This volume has the character of a monograph and should represent a useful reference book for scientists working in this highly topical field. Titles in this series are copublished with the Centre de Recherches Mathématiques. Readership Graduate students, research mathematicians, physicists, and engineers interested in analytical and numerical solutions of ordinary differential equations and partial differential equations. Table of Contents  A. M. Atoyan and J. Patera  Continuous extension of the discrete cosine transform, and its applications to data processing
 D. Baldwin, W. Hereman, and J. Sayers  Symbolic algorithms for the Painlevé test, special solutions, and recursion operators for nonlinear PDEs
 C. M. Bender  Continuum limit of lattice approximation schemes
 H. Berland and B. Owren  Algebraic structures on ordered rooted trees and their significance to Lie group integrators
 A. M. Bloch and A. Iserles  Aspects of generalized doublebracket flows
 E. Celledoni  Eulerian and semiLagrangian schemes based on commutatorfree exponential integrators
 E. S. ChebTerrab  Second order linear ODEs: Two nonLiouvillian approaches
 P. A. Clarkson  On rational solutions of the fourth Painlevé equation and its Hamiltonian
 C. CyrGagnon  Comparison of symmetry preserving difference schemes with standard numerical methods
 W. Hereman, J. A. Sanders, J. Sayers, and J. P. Wang  Symbolic computation of polynomial conserved densities, generalized symmetries, and recursion operators for nonlinear differentialdifference equations
 A. Iserles  On the numerical analysis of rapid oscillation
 R. Kozlov  On conservation properties of semidiscrete canonical Hamiltonian equations
 D. Levi and M. A. Rodríguez  Discrete Lie symmetries for difference equations
 D. Lewis  Trivializations, factorizations, and geometric integration for pseudorigid bodies
 E. L. Mansfield and G. R. W. Quispel  Towards a variational complex for the finite element method
 J. Middleton and J. A. Tuszynski  Models of resonantly driven motion of motor proteins in 2D potentials
 J. Bonasia, F. Lemaire, G. Reid, R. Scott, and L. Zhi  Determination of approximate symmetries of differential equations
 K. B. Wolf  Discrete and finite fractional Fourier transform
 W. J. Zakrzewski  Some nanotubelike systems and their discrete equations
 A. Zhedanov  Explicit multipoint rational interpolation Padé table for exponential and power functions
