The solution of the time-dependent wave equation in an unbounded domain is considered.
An artificial boundary B is introduced which encloses a finite computational domain. On B an …

We consider constant-coefficient initial-boundary value problems, with a first or second
derivative in time and a highest spatial derivative of order q, and their semi-discrete finite …

We use high order finite difference methods to solve the wave equation in the second order
form. The spatial discretization is performed by finite difference operators satisfying a …

When using a finite difference method to solve a time dependent partial differential equation,
the truncation error is often larger at a few grid points near a boundary or grid interface than …

We analyze two types of summation-by-parts finite difference operators for approximating
the second derivative with variable coefficient. The first type uses ghost points, while the …

This paper presents an extension of a recently developed high order finite difference method
for the wave equation on a grid with non-conforming interfaces. The stability proof of the …

We develop a fourth order accurate finite difference method for the three dimensional elastic
wave equation in isotropic media with the piecewise smooth material property. In our model …

Local approximate radiation boundary conditions of optimal efficiency for the convective
wave equation and the linearized Euler equations in waveguide geometry are formulated …

When using a finite difference method to solve an initial-boundary-value problem, the
truncation error is often of lower order at a few grid points near boundaries than in the …

We develop a hybrid spatial discretization for the wave equation in second order form,
based on high-order accurate finite difference methods and discontinuous Galerkin …