We expect a number of visitors in the forthcoming academical year with an interest in numerical methods for differential equations on manifolds. Combined with the ongoing work in Cambridge on this subject, the outcome will be a (highly informal) special year on numerical manifolds. Inasmuch as it is possible to predict the course of future research, the main foci of our interest will be

• ODE methods on general differentiable manifolds;
• Numerical methods on Lie groups and on homogeneous spaces;
• Symplectic methods for Hamiltonian systems;
• Methods for isospectral flows and other group actions;
• Computation of invariant measures for dynamical systems;
• Extraction of topological invariants from dynamical systems;
• Applications in molecular dynamics, astronomy etc.

A whole range of activities is planned for the forthcoming year: seminars, informal gatherings and perhaps a one-two day meeting in Spring 97. If interested in further details, send email to Antonella Zanna.

Long-term visitors:

Elena Celledoni (University of Trieste)

Numerical ODEs, waveform relaxation, Krylov spaces.

April 97 => August 97 (and probably beyond...)

Benedict Leimkuhler (University of Kansas)

Symplectic methods, differential-algebraic equations, molecular dynamics.

September 96 => June 97

Hans Munthe-Kaas (University of Bergen)

Numerical linear algebra, Runge-Kutta methods on manifolds, discretization on Lie groups and homogeneous spaces.

January 97 => December 97

Syvert Nø rsett (Norwegian University of Science and Technology)

Runge-Kutta methods, waveform relaxation, order stars, biorthogonal polynomials, rational approximation, software engineering.

September 96 => June 97

Short-term visitors:

Steve Bond (University of Kansas and ETH Zürich)	(to be confirmed)
Timo Eirola (Helsinki Institute of Technology)	(to be confirmed)
Jason Frank (University of Delft)	(to be confirmed)
Des Higham (University of Strathclyde)	25-29 November
Mike Holst (Caltech)	22-28 March
Arne Marthinsen (Norwegian University of Science and Technology)	(April-May)
Reinout Quispel (La Trobe University)	18-23 November
Sebastian Reich (Konrad Zuse Zentrum)	17 February - 2 March
Erik Van Vleck (Colorado School of Mines)	11-19 March
Jeremy Schiff (Bar Ilan University, Israel)	(late January)

The home team:

Arieh Iserles

Yunkang Liu

Robert MacKay

Rua Murray

Seunghwan Kim

Antonella Zanna

Seminars:

• Thursday, 23 January, 4 pm, Seminar Room B
  Jeremy Schiff (Bar-Ilan University, Israel): "Lie groups and error analysis"

• Wednesday, 19 February, 2:00 pm, Seminar Room A
  Sebastian Reich (Konrad Zuse Centre, Berlin): "Backward error analysis and highly oscillatory Hamiltonian systems"

• Wednesday, 12 March, 4:30 pm, Syndics Room
  Erik Van Vleck (Colorado School of Mines): "Numerical shadowing for differential equations"

• Wednesday, 26 March, 4:30 pm, Syndics Room
  Mike Holst (Caltech): "Numerical treatment of Einstein's field equations"

  

  The seminars list is at the moment incomplete. More will be added later, therefore keep an eye on this website!

  The purpose of the exercise is to bring together a diverse audience, comprising both researchers in numerical analysis and in dynamical systems and scientists and engineers with an interest in applications of computational dynamics. We expect that the talks will be mostly of an expository nature and, as a rule, understandable to a wider non-specialist audience.

  • Numerical analysis seminars
  • Dynamical system seminars

  
  

  Useful information:

  Recent reports of the Cambridge Numerical Analysis Group.

  Database of references to numerical analysis of manifolds in format.

  Symmetric Numerical ODEs (SYNODE) home page in Trondheim.

  
  

  Escape routes:

  Numerical Analysis home page

  Nonlinear Centre home page