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Group Theory and Numerical Analysis
 
Edited by: 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
P. Tempesta :  Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy
A co-publication of the AMS and Centre de Recherches Mathématiques
Group Theory and Numerical Analysis
Softcover ISBN:  978-0-8218-3565-4
Product Code:  CRMP/39
List Price: $122.00
MAA Member Price: $109.80
AMS Member Price: $97.60
eBook ISBN:  978-1-4704-3953-8
Product Code:  CRMP/39.E
List Price: $115.00
MAA Member Price: $103.50
AMS Member Price: $92.00
Softcover ISBN:  978-0-8218-3565-4
eBook: ISBN:  978-1-4704-3953-8
Product Code:  CRMP/39.B
List Price: $237.00 $179.50
MAA Member Price: $213.30 $161.55
AMS Member Price: $189.60 $143.60
Add to cart
Group Theory and Numerical Analysis
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Group Theory and Numerical Analysis
Edited by: 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
P. Tempesta :  Scuola Internazionale Superiore di Studi Avanzati (SISSA), Trieste, Italy
A co-publication of the AMS and Centre de Recherches Mathématiques
Softcover ISBN:  978-0-8218-3565-4
Product Code:  CRMP/39
List Price: $122.00
MAA Member Price: $109.80
AMS Member Price: $97.60
eBook ISBN:  978-1-4704-3953-8
Product Code:  CRMP/39.E
List Price: $115.00
MAA Member Price: $103.50
AMS Member Price: $92.00
Softcover ISBN:  978-0-8218-3565-4
eBook ISBN:  978-1-4704-3953-8
Product Code:  CRMP/39.B
List Price: $237.00 $179.50
MAA Member Price: $213.30 $161.55
AMS Member Price: $189.60 $143.60
Add to cart
  • Book Details
     
     
    CRM Proceedings & Lecture Notes
    Volume: 39; 2005; 298 pp
    MSC: Primary 34; 35; Secondary 20; 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 co-published 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
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
CRM Proceedings & Lecture Notes
Volume: 39; 2005; 298 pp
MSC: Primary 34; 35; Secondary 20; 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 co-published 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.
  • 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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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