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 ...

Finite difference schemes for transient convection-diffusion problems on grids with local refinement in time and space are constructed and studied. The construction utilizes a modified upwind ...

This paper is devoted to the proof of the convergence properties of a class of finite difference schemes applied to nonlinear complex reaction-diffusion equations. We investigate the accuracy of the ...