High-Accuracy Finite-Difference Schemes for Linear Wave Propagation
From MaRDI portal
Publication:4874544
DOI10.1137/S1064827594267173zbMath0877.65063MaRDI QIDQ4874544
David W. Zingg, Henry Jurgens, Harvard Lomax
Publication date: 6 June 1996
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
numerical exampleslinear wave propagationRunge-Kutta methodfinite difference methodslinear advection equationFourier error analysisamplitude errorshigh-order optimization of phase
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45)
Related Items
Time-space domain dispersion reduction schemes in the uniform norm for the 2D acoustic wave equation ⋮ High-order FDTD methods via derivative matching for Maxwell's equations with material interfaces ⋮ Uniformly best wavenumber approximations by spatial central difference operators ⋮ Numerical anisotropy in finite differencing ⋮ Analysis of a new high resolution upwind compact scheme ⋮ Optimal staggered-grid finite-difference schemes by combining Taylor-series expansion and sampling approximation for wave equation modeling ⋮ A block pseudospectral method for Maxwell's equations. I: One-dimensional case ⋮ A mass-redistributed finite element method (MR-FEM) for acoustic problems using triangular mesh ⋮ Higher-order accurate two-step finite difference schemes for the many-dimensional wave equation ⋮ Optimization of high-order diagonally-implicit Runge-Kutta methods ⋮ Quantifying parameter ranges for high fidelity simulations for prescribed accuracy by Lax-Wendroff method ⋮ Global spectral analysis: review of numerical methods ⋮ A Comparison Study of HO-CFD and DSC-RSK with Small Computational Bandwidths for Solving Some Classes of Boundary-Value and Eigenvalue Problems ⋮ High-order non-uniform grid schemes for numerical simulation of hypersonic boundary-layer stability and transition. ⋮ The technique of MIEELDLD in computational aeroacoustics ⋮ New optimized fourth-order compact finite difference schemes for wave propagation phenomena ⋮ A family of low dispersive and low dissipative explicit schemes for flow and noise computations. ⋮ A highly efficient time-space-domain optimized method with Lax-Wendroff type time discretization for the scalar wave equation ⋮ Optimized three-dimensional FDTD discretizations of Maxwell's equations on Cartesian grids ⋮ Unnamed Item ⋮ Prefactored small-stencil compact schemes ⋮ A staggered fourth-order accurate explicit finite difference scheme for the time-domain Maxwell's equations ⋮ Symmetrized compact scheme for receptivity study of 2D transitional channel flow ⋮ A proof that the discrete singular convolution (DSC)/Lagrange-distributed approximating function (LDAF) method is inferior to high order finite differences ⋮ Frequency optimized computation methods ⋮ Numerical investigation of a source extraction technique based on an acoustic correction method ⋮ Review of Computational Aeroacoustics Algorithms ⋮ Numerical solution for the wave equation ⋮ On the edge of stability analysis ⋮ Impact of the fourth-order compact difference scheme on computational properties of 3D grids in a nonhydrostatic model ⋮ Uniformly Best Wavenumber Approximations by Spatial Central Difference Operators: An Initial Investigation ⋮ The spectral order of accuracy: a new unified tool in the design methodology of excitation-adaptive wave equation FDTD schemes ⋮ High-order finite-difference schemes for numerical simulation of hypersonic boundary-layer transition ⋮ A new category of Hermitian upwind schemes for computational acoustics ⋮ Computable scalar fields: A basis for PDE software ⋮ Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations ⋮ Optimal Runge-Kutta methods for first order pseudospectral operators ⋮ A new compact spectral scheme for turbulence simulations
