Group theory and numerical analysis / P. Winternitz ... [and others], editors

Includes bibliographical references

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