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Ben Leimkuhler, University of Edinburgh
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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 |