Simulations of the evolution of wave fronts are very important in many applications, e.g., in direct and inverse problems in geophysics, high frequency electromagnetics, rendering in computer vision, and elsewhere. Eikonal equations describe the evolution of the singular support of solutions to wave equations. Computing these wave fronts is usually done via ray tracing methods. Recently, innovative numerical and semianalytic techniques have been developed using alternative partial differential equation and geometrically based techniques. Efficient numerical methods for these problems, and for solving the associated transport equations will be discussed. This workshop will bring together mathematicians and computer scientists with scientists from the applied fields.
(INRIA Sophia Antipolis)
Bjorn Engquist (UCLA, Mathematics)