43 citations · 292 across the 26 of their papers we have counts for
4 papers · 1 filter
Comparison of five methods of computing the Dirichlet-Neumann operator for the water wave problem
Jon Wilkening, Vishal Vasan
We compare the effectiveness of solving Dirichlet-Neumann problems via the Craig-Sulem (CS) expansion, the Ablowitz-Fokas-Musslimani (AFM) implicit formulation, the dual AFM formul…
Relative-Periodic Elastic Collisions of Water Waves
Jon Wilkening
We compute time-periodic and relative-periodic solutions of the free-surface Euler equations that take the form of overtaking collisions of unidirectional solitary waves of differe…
Boltzmann Equation Solver Adapted to Emergent Chemical Non-equilibrium
Jeremiah Birrell, Jon Wilkening, Johann Rafelski
We present a novel method to solve the spatially homogeneous and isotropic relativistic Boltzmann equation. We employ a basis set of orthogonal polynomials dynamically adapted to a…
Accurate Spectral Numerical Schemes for Kinetic Equations with Energy Diffusion
Jon Wilkening, Antoine Cerfon, Matt Landreman
We examine the merits of using a family of polynomials that are orthogonal with respect to a non-classical weight function to discretize the speed variable in continuum kinetic cal…