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 construct and analyze new local radiation boundary condition sequences for first-order,
isotropic, hyperbolic systems. The new conditions are based on representations of solutions …

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 …

Two new high-order local absorbing boundary conditions (ABCs) are devised for use on an
artificial boundary for time-dependent elastic waves in unbounded domains, in two …

Stable and conservative numerical boundary schemes are constructed such that they do not
diminish the overall accuracy of the method for interior schemes of orders 4, 6, and 8 using …

We demonstrate the stable boundary closure of difference methods of order up through 16
for the solution of wave equations in second order form. Our method combines the …

In the context of metric perturbation theory for nonspinning black holes, extreme mass ratio
binary systems are described by distributionally forced master wave equations. Numerical …

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

Polyharmonic spline (PHS) radial basis functions (RBFs) have been used in conjunction
with polynomials to create RBF finite-difference (RBF-FD) methods. In 2D, these methods …

We develop dissipative, energy-stable difference methods for linear first-order hyperbolic
systems by applying an upwind, discontinuous Galerkin construction of derivative matrices …