Group theory and numerical analysis
- Providence, R.I. : American Mathematical Society, c2005.
- 1 online resource (xi, 298 p. : ill.)
- CRM Proceedings and Lecture Notes, v. 39 2472-4890 .
Includes bibliographical references.
Continuous extension of the discrete cosine transform, and its applications to data processing ; Symbolic algorithms for the Painleve 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 Painleve 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 Pade table for exponential and power functions
9781470439538 (online)
Analyse numerique
Group theory
Numerical analysis
Includes bibliographical references.
Continuous extension of the discrete cosine transform, and its applications to data processing ; Symbolic algorithms for the Painleve 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 Painleve 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 Pade table for exponential and power functions
9781470439538 (online)
Analyse numerique
Group theory
Numerical analysis