8 citations · 9 across the 3 of their papers we have counts for
4 papers
Gradient-based Monte Carlo methods for relaxation approximations of hyperbolic conservation laws
Giulia Bertaglia, Lorenzo Pareschi, Russel E. Caflisch
Particle methods based on evolving the spatial derivatives of the solution were originally introduced to simulate reaction-diffusion processes, inspired by vortex methods for the N…
Adjoint DSMC for Nonlinear Spatially-Homogeneous Boltzmann Equation With a General Collision Model
Yunan Yang, Denis Silantyev, Russel Caflisch
We derive an adjoint method for the Direct Simulation Monte Carlo (DSMC) method for the spatially homogeneous Boltzmann equation with a general collision law. This generalizes our…
Adjoint DSMC for nonlinear Boltzmann equation constrained optimization
Russel Caflisch, Denis Silantyev, Yunan Yang
Applications for kinetic equations such as optimal design and inverse problems often involve finding unknown parameters through gradient-based optimization algorithms. Based on the…
Anisotropic step stiffness from a kinetic model of epitaxial growth
Dionisios Margetis, Russel E. Caflisch
Starting from a detailed model for the kinetics of a step edge or island boundary, we derive a Gibbs-Thomson type formula and the associated step stiffness as a function of the ste…