A new compact spectral scheme for turbulence simulations
Journal of Computational Physics
Journal of Computational Physics
Dynamic load balance strategy: application to nonlinear optics
High performance scientific and engineering computing
Dynamic Load Balancing Computation of Pulses Propagating in a Nonlinear Medium
The Journal of Supercomputing
A family of low dispersive and low dissipative explicit schemes for flow and noise computations
Journal of Computational Physics
High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces
Journal of Computational Physics
A new category of Hermitian upwind schemes for computational acoustics
Journal of Computational Physics
Frequency Optimized Computation Methods
Journal of Scientific Computing
Analysis of a new high resolution upwind compact scheme
Journal of Computational Physics
Optimized three-dimensional FDTD discretizations of Maxwell's equations on Cartesian grids
Journal of Computational Physics
Numerical investigation of a source extraction technique based on an acoustic correction method
Computers & Mathematics with Applications
Numerical solution for the wave equation
International Journal of Computer Mathematics
On the edge of stability analysis
Applied Numerical Mathematics
Journal of Computational Physics
A finite element method enriched for wave propagation problems
Computers and Structures
International Journal of Innovative Computing and Applications
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Two high-accuracy finite-difference schemes for simulating long-range linear wave propagation are presented: a maximum-order scheme and an optimized scheme. The schemes combine a seven-point spatial operator and an explicit six-stage low-storage time-march method of Runge--Kutta type. The maximum-order scheme can accurately simulate the propagation of waves over distances greater than five hundred wavelengths with a grid resolution of less than twenty points per wavelength. The optimized scheme is found by minimizing the maximum phase and amplitude errors for waves which are resolved with at least ten points per wavelength, based on Fourier error analysis. It is intended for simulations in which waves travel under three hundred wavelengths. For such cases, good accuracy is obtained with roughly ten points per wavelength.