Special Session 43: Recent Advances in Inverse Problems, Imaging, and Their Applications

Numerical algorithms for high-frequency wave propagation problems and related Hamilton-Jacobian equations
Wangtao Lu
Zhejiang University
Peoples Rep of China
Co-Author(s):    
Abstract:
In this talk, I will present fast algorithms for computing the highly oscillatory solutions in high-frequency wave propagation problems. The method is based on asymptotic ansatz which gives rise to unknowns independent of the frequency, governed by coupled Hamilton-Jacobian equations usually. I will show some theoretical and numerical results regarding solving such hyperbolic equations.