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Description: "Multiscale Discontinuous Galerkin Method for Schrodinger Equations" - Abstract: In this talk, we will introduce a high-order multiscale discontinuous Galerkin (DG) method for stationary Schrodinger equations in quantum transport. Due to the oscillatory nature of the solutions, traditional numerical methods require extremely refined meshes to capture the small scale structure, resulting in the high computational cost. Our multiscale method applies WKB asymptotic to construct non-polynomial multiscale basis functions so that it can capture the solution better on coarse meshes. We will first present our approach for the 1D case and then extend our approach to a special 2D case where the solution exhibits oscillations mainly in one direction. Numerical results and error estimates will also be provided. Contact: zchen2@umassd.edu, vvarma@umassd.edu.