High Order Multiscale Methods for Advection-Diffusion Equation with Highly Oscillatory Boundary Condition
High Order Multiscale Methods for Advection-Diffusion Equation with Highly Oscillatory Boundary Condition
In this paper we propose high order numerical methods to solve a 2D advection-diffusion equation, in the highly oscillatory regime. We use an integrator strategy that allows the construction of arbitrary high-order schemes which leads to an accurate approximation of the solution without any time step-size restriction. This paper focuses …