This 3-day workshop brought together experts in geometric integration, primarily from the mathematics and physics communities, to highlight barriers of the implementation and use of geometric integration methods, clarify the relative importance of different types of structures in the practical setting and to consider possible new types of geometric integration methodology. This meeting was a satellite event of the Isaac Newton Institute Programme on highly oscillatory problems (January-June 2007).
Workshop
Applying Geometric Integrators
24 - 27 Apr 2007
ICMS
Organiser
About
Programme
Meet the speakers
Ernst Hairer
University of Geneva
Modified Differential Equations
Erwan Faou
INRIA Rennes
Molecular Dynamics in a Shaker
Stephen Bond
University of Illinois
On the Accuracy of Numerically Computed Averages in Molecular Simulation
Frederic Legoll
École Nationale des Ponts et Chaussées
Derivation of Symplectic Numerical Schemes for Highly Oscillatory Hamiltonian Systems: a New Approach?
Roderick Melnik
WLU/Waterloo
Conservative Numerical Approximations and the Cayley Transform Technique in Applications to PDEs
Bob Skeel
Purdue University
What Makes Molecular Dynamics Work
Jesus Sanz-Serna
University of Valladolid
Mollified Impulse Methods Revisited
Mark Tuckerman
New York University
Statistical Mechanical Concepts and Measure-Preserving Integrators for Non-Hamiltonian Systems
Blanes Sergio
Universidad Politécnica de Valencia
Adaptive Splitting Integrators
Jesus Izaguirre
University of Notre Dame
Longer Time Step Integrator Using Normal-Mode Constraints
David Cohen
Norwegian University of Science & Technology
Highly Oscillatory Hamiltonian Systems with Non-Constant Mass Matrix
Reinout Quispel
La Trobe University
Integral-Preserving Integrators and Linearization-Preserving Integrators
Chris Budd
University of Bath
Geometric Integration and 2D Mesh Generation
Jacques Laskar
IMCCE
Long Time Integrations of the Solar System
Christian Lubich
University of Tübingen
Symplectic Integrators for Numerical General Relativity
Seppo Mikkola
Turku Observatory
Algorithmic Regularization
Joachim Stadel
University of Zurich
Multi-Stepping Integrators in Astrophysical N-Body System
Volker Grimm
Heinrich-Heine-Universität
On the Computation of Cosine of Operators in Second Order Abstract Differential Equations
Robert McLachlan
Massey University
Multisymplectic Integrators
Elena Celledoni
NTNU
Simulation of Rigid Body Dynamics Using Jacobi Elliptic Functions and Integrals
Caudia Wulff
University of Surrey
Approximate Energy Conservation for Symplectic Time-Semidiscretizations of Semilinear Wave Equations
Matthew Dixon
Imperial College London
Moser-Veselov Integrators for Continuum Dynamics
Antonella Zanna
University of Bergen
On the Exact Integration of Rigid Body Equations
Ben Leimkuhler
University of Edinburgh
A Generalized Molecular Dynamics Model
Francesco Fasso
University of Padua
The Conjugate Locus for the Euler Top
Jason Frank
CWI Amsterdam
Statistical Mechanics of Arakawa's Jacobian: Numerical Experiments
Owen Brynjulf
NTNU Trondheim
Geometric Integrators for the Camassa-Holm Equations
Colin Cotter
Imperial College London
Particle-Mesh Methods for Matching Shapes
Fernando Casas Perez
Universitat Jaume I
On the Convergence of Magnus and Related Expansions
Simon Malham
Heriot-Watt University
Lie Group Stochastic Integrators
