Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation

A note on stability of pseudospectral methods for wave propagation

Journal of Computational and Applied Mathematics

High-order non-reflecting boundary scheme for time-dependent waves

Journal of Computational Physics

High-order nonreflecting boundary conditions for the dispersive shallow water equations

Journal of Computational and Applied Mathematics - Special issue: Selected papers from the conference on computational and mathematical methods for science and engineering (CMMSE-2002) Alicante University, Spain, 20-25 september 2002

A robust and efficient subgridding algorithm for finite-difference time-domain simulations of Maxwell's equations

Journal of Computational Physics

A sequence of absorbing boundary conditions for Maxwell's equations

Journal of Computational Physics

Nonreflecting boundary conditions for the time-dependent convective wave equation in a duct

Journal of Computational Physics

Unidirectional transparent signal injection in finite-difference time-domain electromagnetic codes -application to reflectometry simulations

Journal of Computational Physics

Perfectly matched layers for Maxwell's equations in second order formulation

Journal of Computational Physics

Numerical solution of the nonlinear Helmholtz equation using nonorthogonal expansions

Journal of Computational Physics

Time domain modeling of pulse propagation in non-isotropic dispersive media

Mathematics and Computers in Simulation - Special issue: Nonlinear waves: computation and theory IV

Adaptive absorbing boundary conditions for Schrödinger-type equations: Application to nonlinear and multi-dimensional problems

Journal of Computational Physics

A perfectly matched layer approach to the nonlinear Schrödinger wave equations

Journal of Computational Physics

Local absorbing boundary conditions for elliptical shaped boundaries

Journal of Computational Physics

0.374 Pflop/s trillion-particle kinetic modeling of laser plasma interaction on Roadrunner

Proceedings of the 2008 ACM/IEEE conference on Supercomputing

An analysis of the finite-difference method for one-dimensional Klein--Gordon equation on unbounded domain

Applied Numerical Mathematics

On the stability of boundary conditions for molecular dynamics

Journal of Computational and Applied Mathematics

A stratified dispersive wave model withhigh-order nonreflecting boundary conditions

Computers & Mathematics with Applications

Nonreflecting boundary conditions for discrete waves

Journal of Computational Physics

Optimized interface conditions in domain decomposition methods for problems with extreme contrasts in the coefficients

Journal of Computational and Applied Mathematics

Absorbing boundary conditions for scalar waves in anisotropic media. Part 2: Time-dependent modeling

Journal of Computational Physics

Absorbing boundary conditions for the Euler and Navier-Stokes equations with the spectral difference method

Journal of Computational Physics

An experimental adaptation of Higdon-type non-reflecting boundary conditions to linear first-order systems

Journal of Computational and Applied Mathematics

Adaptive artificial boundary condition for the two-level Schrödinger equation with conical crossings

Journal of Computational Physics

On the stability of the high-order Higdon Absorbing Boundary Conditions

Applied Numerical Mathematics

Application of H-W boundary condition in dam-reservoir interaction problem

Finite Elements in Analysis and Design

Parallel seismic propagation simulation in anisotropic media by irregular grids finite difference method on PC cluster

ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part IV

A numerical comparison of the Westervelt equation with viscous attenuation and a causal propagation operator

Mathematics and Computers in Simulation

Improving the performance of Higdon non-reflecting boundary conditions by using weighted differencing

Applied Numerical Mathematics

Accurate absorbing boundary conditions for anisotropic elastic media. Part 1: Elliptic anisotropy

Journal of Computational Physics

A high-order based boundary condition for dynamic analysis of infinite reservoirs

Computers and Structures