On the Elimination of Aliasing in Finite-Difference Schemes by Filtering High-Wavenumber Components

1971/09/01 by Steven A. Orszag · 23 citations
Engineering · Mathematics · Materials Science · #Microwave Engineering and Waveguides #Differential Equations and Numerical Methods #Material Properties and Applications

paper · pdf · doi:10.1175/1520-0469(1971)028<1074:oteoai>2.0.co;2

Cited by

• Collocation‐based harmonic balance framework for highly accurate periodic solution of nonlinear dynamical system
• Geometry-Conditioned Fourier Neural Operators for Cubic Nonlinear Schrodinger Dynamics on Periodic Domains
• On local and non-local energy transfers in Hall magnetohydrodynamic turbulence
• Current-Sheet Formation in Electron Magnetohydrodynamics with Split Fractional Dissipation
• Modeling complex motility patterns for autophoretic microswimmers
• Conserving mass, momentum, and energy for the Benjamin-Bona-Mahony, Korteweg-de Vries, and nonlinear Schrödinger equations
• Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains
• Does intermittency affect the inertial transfer rate in stationary isotropic turbulence?
• Solitary waves of moderate amplitude and dispersive radiation in the Serre equations: the extended KdV-Whitham approximation
• A spectral-Galerkin turbulent channel flow solver for large-scale simulations
• DISCO-DJ II: a differentiable particle-mesh code for cosmology
• Exact Total Variation Minimizers as Non-Oscillatory Limiters in High-Order Methods for Conservation Laws
• The hot-electron closure of the moment-based gyrokinetic plasma model
• Cosmology inference with perturbative forward modeling at the field level: a comparison with joint power spectrum and bispectrum analyses
• simple-idealized-1d-nlse: Pseudo-Spectral Solver for the 1D Nonlinear Schrödinger Equation
• Reduced Order Models for the Quasi-Geostrophic Equations: A Brief Survey
• Pattern formation in a coupled driven diffusive system
• Gyrokinetic simulations of fusion plasmas using a spectral velocity space representation
• GENGARS: Accurate non-Gaussian initial conditions with arbitrary bispectrum for N-body simulations
• Irreversibility and small-scale generation in 3D turbulent flows
• A frequency-dependent p-adaptive technique for spectral methods
• The Fourier spectral approach to the spatial discretization of quasilinear hyperbolic systems
• Hydrodynamic theory of wetting by active particles