Formal name: Prof.dr.ir. J.E. Frank
Function: Group leader, Scientific Staff Member
Email: J.E.Frank@cwi.nl
Telephone +31(0)20 592 4096
Room: L116
Homepage: http://homepages.cwi.nl/~jason
Research groups:
(MAC1) Dynamical Systems and Numerical Analysis
Research
Jason Frank's research is in the fields of numerical analysis and dynamical systems. It addresses algorithms for simulation of ordinary and partial differential equations, with applications to weather prediction, climate, oceanography, and most recently energy science.
His research focuses on the dynamical properties of numerical methods, such as conservation laws and symmetries, and the meaning of these for simulation. This subject is addressed in the field geometric numerical integration.
Current research combines statistics with numerical simulations, understanding how numerical methods influence the statistics of the simulation data, how simulations can be corrected to produce consistent statistics, and how one can treat uncertainty in simulations. Specific topics:
- The statistical mechanics of discretizations, and the statistical accuracy of numerical methods.
- Thermostat closures for PDE models
- The Hamiltonian particle-mesh method, a Lagrangian-based discretization for geophysical fluids.
- Multisymplectic discretizations and their properties.
- Discrete local (energy) conservation laws, group velocity, and spurious numerical reflections on nonuniform grids.
- Symplectic and multisymplectic methods for ferromagnetic waves.
Career
| 2012 - | Onderzoeker E MAC1 - Computational and Stochastic Dynamics |
| 2010 - | Group leader MAC1 - Computational and Stochastic Dynamics |
| 2010 - | Full professor University of Amsterdam |
| 2007 - 2009 | Group leader MAS1 - Dynamical Systems and Numerical Analysis |
| 2000 - 2006 | Scientific staff member MAS1 - Dynamical Systems and Numerical Analysis |
Selected Awards and Honours
| 2002 | Veni Innovational Research Grant NWO |
Selected Academic Activities
| 2011 - | Member program board Mathematics Cluster NDNS+ |
| 2010 - | Member program board NWO, Den Haag - Complexity |
| 2010 - | Member program board Lorentz Center, Leiden, The Netherlands - Computational Science Program |
| 2008 - | Member editorial board Journal: SIAM Journal on Scientific Computing - [SISC] |
Selected Publications
| J. Bajars, J.E. Frank, B.J. Leimkuhler. Stochastic-Dynamical Thermostats for Constraints and Stiff Restraints. The European Physical Journal 200, 131–152, 2011. |
| J.E. Frank, G.A. Gottwald. The Langevin Limit of the Nosé-Hoover-Langevin Thermostat. Journal of Statistical Physics 143, 715–724, 2011. |
| S. Dubinkina, J.E. Frank. Statistical relevance of vorticity conservation with the Hamiltonian particle-mesh method. Journal of Computational Physics 229, 2634–2648, 2010. |
| S. Dubinkina, J.E. Frank, B.J. Leimkuhler. Simplified modelling of a thermal bath, with application to a fluid vortex system. Multiscale Modeling and Simulation 8, 1882–1901, 2010. |
| S. Dubinkina, J.E. Frank. Statistical mechanics of Arakawa`s discretizations. Journal of Computational Physics 227, 1286–1305, 2007. |
| J.E. Frank, B.E. Moore, S. Reich. Linear PDEs and numerical methods that preserve a multi-symplectic conservation law. SIAM Journal on Scientific Computing 28, 260–277, 2006. |
