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Integration Algorithms and Classical Mechanics
 
Edited by: Jerrold E. Marsden :  California Institute of Technology, Pasadena, CA
George W. Patrick :  University of Saskatchewan, Saskatoon, SK, Canada
William F. Shadwick :  Fields Institute, Waterloo, ON, Canada
A co-publication of the AMS and Fields Institute
Integration Algorithms and Classical Mechanics
Hardcover ISBN:  978-0-8218-0259-5
Product Code:  FIC/10
List Price: $114.00
MAA Member Price: $102.60
AMS Member Price: $91.20
eBook ISBN:  978-1-4704-2978-2
Product Code:  FIC/10.E
List Price: $107.00
MAA Member Price: $96.30
AMS Member Price: $85.60
Hardcover ISBN:  978-0-8218-0259-5
eBook: ISBN:  978-1-4704-2978-2
Product Code:  FIC/10.B
List Price: $221.00 $167.50
MAA Member Price: $198.90 $150.75
AMS Member Price: $176.80 $134.00
Add to cart
Integration Algorithms and Classical Mechanics
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Integration Algorithms and Classical Mechanics
Edited by: Jerrold E. Marsden :  California Institute of Technology, Pasadena, CA
George W. Patrick :  University of Saskatchewan, Saskatoon, SK, Canada
William F. Shadwick :  Fields Institute, Waterloo, ON, Canada
A co-publication of the AMS and Fields Institute
Hardcover ISBN:  978-0-8218-0259-5
Product Code:  FIC/10
List Price: $114.00
MAA Member Price: $102.60
AMS Member Price: $91.20
eBook ISBN:  978-1-4704-2978-2
Product Code:  FIC/10.E
List Price: $107.00
MAA Member Price: $96.30
AMS Member Price: $85.60
Hardcover ISBN:  978-0-8218-0259-5
eBook ISBN:  978-1-4704-2978-2
Product Code:  FIC/10.B
List Price: $221.00 $167.50
MAA Member Price: $198.90 $150.75
AMS Member Price: $176.80 $134.00
Add to cart
  • Book Details
     
     
    Fields Institute Communications
    Volume: 10; 1996; 244 pp
    MSC: Primary 70; Secondary 65

    Dedicated to the late Juan Carlos Simo, this volume contains the proceedings of a workshop held at the Fields Institute in October 1993. The articles focus on current algorithms for the integration of mechanical systems, from systems in celestial mechanics to coupled rigid bodies to fluid mechanics. The scope of the articles ranges from symplectic integration methods to energy-momentum methods and related themes.

    Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
    Readership

    Graduate students and research mathematicians, physicists, astrophysicists, and engineers interested in mechanics of particles and systems.
  • Table of Contents
     
     
    • Chapters
    • F Armero and J Simo — Formulation of a new class of fractional-step methods for the incompressible MHD equations that retains the long-term dissipativity of the continuum..
    • Eric Barth and Benedict Leimkuhler — Symplectic methods for conservative multibody systems
    • Paul Channell and F Neri — An introduction to symplectic integrators
    • Alex Dragt and D Abell — Symplectic maps and computation of orbits in particle accelerators
    • David Earn and A Lichtenberg — Arnold diffusion in symplectic lattice maps
    • M Kaasalainen and J Binney — Integrable Hamiltonians from close approximations to invariant tori
    • P Koseleff — Exhaustive search of symplectic integrators using computer algebra
    • Debra Lewis and J Simo — Conserving algorithms for the $N$ dimensional rigid body
    • Robert McLachlan — More on symplectic correctors
    • Robert McLachlan and C Scovel — A survey of open problems in symplectic integration
    • Sebastian Reich — Symplectic integrators for systems of rigid bodies
    • J Sanz-Serna — Backward error analysis of symplectic integrators
    • T Stuchi and R Vieira-Martins — Numerical determination of caustics and their bifurcations
    • J Wisdom, M Holman and J Touma — Symplectic correctors
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Fields Institute Communications
Volume: 10; 1996; 244 pp
MSC: Primary 70; Secondary 65

Dedicated to the late Juan Carlos Simo, this volume contains the proceedings of a workshop held at the Fields Institute in October 1993. The articles focus on current algorithms for the integration of mechanical systems, from systems in celestial mechanics to coupled rigid bodies to fluid mechanics. The scope of the articles ranges from symplectic integration methods to energy-momentum methods and related themes.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Readership

Graduate students and research mathematicians, physicists, astrophysicists, and engineers interested in mechanics of particles and systems.
  • Chapters
  • F Armero and J Simo — Formulation of a new class of fractional-step methods for the incompressible MHD equations that retains the long-term dissipativity of the continuum..
  • Eric Barth and Benedict Leimkuhler — Symplectic methods for conservative multibody systems
  • Paul Channell and F Neri — An introduction to symplectic integrators
  • Alex Dragt and D Abell — Symplectic maps and computation of orbits in particle accelerators
  • David Earn and A Lichtenberg — Arnold diffusion in symplectic lattice maps
  • M Kaasalainen and J Binney — Integrable Hamiltonians from close approximations to invariant tori
  • P Koseleff — Exhaustive search of symplectic integrators using computer algebra
  • Debra Lewis and J Simo — Conserving algorithms for the $N$ dimensional rigid body
  • Robert McLachlan — More on symplectic correctors
  • Robert McLachlan and C Scovel — A survey of open problems in symplectic integration
  • Sebastian Reich — Symplectic integrators for systems of rigid bodies
  • J Sanz-Serna — Backward error analysis of symplectic integrators
  • T Stuchi and R Vieira-Martins — Numerical determination of caustics and their bifurcations
  • J Wisdom, M Holman and J Touma — Symplectic correctors
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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