Communications in Mathematical Sciences

Entropy solutions of a combustion model

Entropy methods for kinetic models of traffic flow

Analysis of the heterogeneous multiscale method for ordinary differential equations

Incompressible Euler and E-MHD as scaling limits of the Vlasov-Maxwell system

An IMEX finite volume scheme for reactive Euler equations arising from kinetic theory

Semi-implicit spectral deferred correction methods for ordinary differential equations

Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability

Three-factor interest rate models

A level set method for the computation of multi-valued solutions to quasi-linear hyperbolic PDE's and Hamilton-Jacobi equations

Computational high-frequency wave propogation using the level-set method with applications to the semi-classical limit of the Schrödinger equations