Finite difference methods have become a cornerstone in the simulation of seismic wave propagation, providing a robust numerical framework to approximate the differential equations that govern seismic ...

Two-phase, incompressible flow in porous media is governed by a system of nonlinear partial differential equations. Convection physically dominates diffusion, and the object of this paper is to ...

Finite-Difference Time-Domain (FDTD) methods have long served as a workhorse for simulating electromagnetic wave propagation. In dispersive media, where material responses vary with frequency, the ...

SIAM Journal on Numerical Analysis, Vol. 34, No. 6 (Dec., 1997), pp. 2306-2318 (13 pages) We are interested in the rate of convergence in L 1 of the approximate solution of a conservation law ...

Partial differential equations (PDE) describe the behavior of fluids, structures, heat transfer, wave propagation, and other physical phenomena of scientific and engineering interest. This course ...