How accurate is molecular dynamics?

• How accurate is molecular dynamics?

Stochastic spectral Galerkin and collocation methods for PDEs with random coefficients: a numerical comparison

Diffusion approximation of Lévy processes with a view towards finance

• Levy processes
• infinite activity
• diffusion approximation
• Monte Carlo
• Weak approximation
• error expansion
• A posteriori error estimates
• adaptivity
• error control
• mathematical finance

Towards automatic global error control: computable weak error expansion for the tau-leap method

• Tau-leap
• Weak approximation
• reaction networks
• Markov chain
• error estimation
• A posteriori error estimates
• backward dual functions

Implementation of optimal Galerkin and Collocation approximations of PDEs with Random Coefficients

• Uncertainty Quantification
• PDEs with random data
• elliptic equations
• multivariate polynomial approximation
• Best M-Terms approximation
• Stochastic Galerkin methods
• Smolyak approximation
• Sparse grids
• Stochastic collocation methods

Mean field interaction in biochemical reaction networks

• Mean field interaction
• reaction networks

On the Linear Stability of the Fifth-Order WENO Discretization

• Linear stability analysis
• Method of lines
• WENO
• Multistep methods,
• Runge–Kutta methods
• Hyperbolic conservation laws

Mean field stochastic games for sinr-based medium access control

• Mean field stochastic games
• SINR