Applying Geometric Integrators

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Applying Geometric Integrators

 24 - 27 Apr 2007

ICMS

  • Ben Leimkuhler, University of Edinburgh
  • Robert McLachlan, Massey University

About:

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).

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