We develop numerical methods for solving nonlinear equations of conservation laws with flux function that depends on discontinuous coefficients. Using a relaxation approximation, ...
This paper is concerned with the fast solution of high frequency electromagnetic scattering problems using the boundary integral formulation. We extend the O(N log N) directional ...
In this paper we propose a novel computational technique to solve the Eikonal equation. The proposed method manages the list of active nodes and iteratively updates the solutions ...
This technical report illustrates the differences in solving the optimal path problem (shortest path) using different methods, where the underlying PDE can be described by the eik...
Abstract. The Fast Multipole Method (FMM) designed by V. Rokhlin rapidly computes the field scattered from an obstacle. This computation consists of solving an integral equation o...