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Group Theory and Numerical Analysis
About this Title
P. Winternitz, Université de Montréal, Montréal, QC, Canada, D. Gomez-Ullate, Universitat Politècnica de Catalunya, Barcelona, Spain, A. Iserles, University of Cambridge, Cambridge, UK, D. Levi, Università degli Studi Roma, Roma, Italy, P. J. Olver, University of Minnesota, Minneapolis, MN, R. Quispel, La Trobe University, Victoria, Australia and P. Tempesta, Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy, Editors
Publication: CRM Proceedings and Lecture Notes
Publication Year:
2005; Volume 39
ISBNs: 978-0-8218-3565-4 (print); 978-1-4704-3953-8 (online)
DOI: https://doi.org/10.1090/crmp/039
MathSciNet review: MR2169291
MSC: Primary 65-06
ReadershipTable of Contents
Front/Back Matter
Chapters
- Continuous extension of the discrete cosine transform, and its applications to data processing
- Symbolic algorithms for the Painlevé test, special solutions, and recursion operators for nonlinear PDEs
- Continuum limit of lattice approximation schemes
- Algebraic structures on ordered rooted trees and their significance to Lie group integrators
- Aspects of generalized double-bracket flows
- Eulerian and semi-Lagrangian schemes based on commutator-free exponential integrators
- Second order linear ODEs: Two non-Liouvillian approaches
- On rational solutions of the fourth Painlevé equation and its Hamiltonian
- Comparison of symmetry preserving difference schemes with standard numerical methods
- Symbolic computation of polynomial conserved densities, generalized symmetries, and recursion operators for nonlinear differential-difference equations
- On the numerical analysis of rapid oscillation
- On conservation properties of semidiscrete canonical Hamiltonian equations
- Discrete Lie symmetries for difference equations
- Trivializations, factorizations, and geometric integration for pseudo-rigid bodies
- Towards a variational complex for the finite element method
- Models of resonantly driven motion of motor proteins in 2D potentials
- Determination of approximate symmetries of differential equations
- Discrete and finite fractional Fourier transform
- Some nanotube-like systems and their discrete equations
- Explicit multipoint rational interpolation Padé table for exponential and power functions