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Computational Mathematics

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Computational Mathematics

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Research Frontiers in Structure-Preserving Integrators for Hamiltonian Systems

Development of symplectic and energy-stable time integration schemes that maintain geometric properties of Hamiltonian dynamics.

Symplectic Integration of Multiscale Hamiltonian Dynamics
Geometric Integrators for Stochastic Hamiltonian Systems
Energy-Stable Discretizations in Long-Time Molecular Simulation
Variational Structure Preservation in Nonlinear Wave Equations
Momentum-Conserving Schemes for Constrained Mechanical Systems
Backward Error Analysis in Hamiltonian Numerical Integration
Structure-Preserving Methods for Chaotic Orbital Dynamics
Canonical Transformations and Adaptive Symplectic Algorithms
Geometric Integration of Magnetized Plasma Hamiltonian Models
Lie-Group Integrators for Infinite-Dimensional Hamiltonian PDEs

All Computational Mathematics PhD categories