Numerical solution of the high frequency asymptotic expansion for the scalar wave equation

High-frequency wave propagation by the segment projection method

Journal of Computational Physics

Using K-branch entropy solutions for multivalued geometric optics computations

Journal of Computational Physics

Geometric optics in a phase-space-based level set and Eulerian framework

Journal of Computational Physics

Shock capturing, level sets, and PDE based methods in computer vision and image processing: a review of Osher's contributions

Journal of Computational Physics

A geometrical optics-based numerical method for high frequency electromagnetic fields computations near fold caustics--Part I

Journal of Computational and Applied Mathematics

An Introduction to Eulerian Geometrical Optics (1992–2002)

Journal of Scientific Computing

Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice: I. homogeneous problems

Journal of Computational Physics

An accurate spectral/discontinuous finite-element formulation of a phase-space-based level set approach to geometrical optics

Journal of Computational Physics

Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds

Journal of Computational Physics

Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems

Journal of Computational Physics

The phase flow method

Journal of Computational Physics

A fast phase space method for computing creeping rays

Journal of Computational Physics

Computing multi-valued velocity and electric fields for 1D Euler--Poisson equations

Applied Numerical Mathematics

High order numerical methods to a type of delta function integrals

Journal of Computational Physics

Computational high frequency waves through curved interfaces via the Liouville equation and geometric theory of diffraction

Journal of Computational Physics

Computation of the Semiclassical Limit of the Schrödinger Equation with Phase Shift by a Level Set Method

Journal of Scientific Computing

Solution of the scalar wave equation over very long distances using nonlinear solitary waves: Relation to finite difference methods

Journal of Computational Physics

Geodesic voting for the automatic extraction of tree structures. Methods and applications

Computer Vision and Image Understanding