Communications in Mathematical Sciences

Hydrodynamic boundary conditions for one-component liquid-gas flows on non-isothermal solid substrates

Full discretization of the porous medium/fast diffusion equation based on its very weak formulation

A continuum model for the dynamics of dislocation arrays

Numerical study for the nucleation of one-dimensional stochastic Cahn-Hilliard dynamics

Existence of global bounded weak solutions to a Keyfitz-Kranzer system

The effect of finite element discretization on the stationary distribution of SPDEs

Fast time implicit-explicit discontinuous Galerkin method for convection dominated flow problems

Instability of periodic travelling waves with mean zero for a 1D Boussinesq system

Large time behavior of solutions to the isentropic compressible fluid models of Korteweg type in R³

Optimal input flows for a PDE–ODE model of supply chains

Beyond pressureless gas dynamics: quadrature-based velocity moment models

A dynamic model of open vesicles in fluids

Eulerian Gaussian beam method for high frequency wave propagation in heterogeneous media with discontinuities in one direction

Gaussian beam methods for the Dirac equation in the semi-classical regime

Two-stage stochasticRunge-Kutta methods for stochastic differential equations with jump diffusion