Gaussian spectral rules for second order finite-difference schemes

DOI10.1023/A:1016600805438zbMath0978.65092OpenAlexW2024125574MaRDI QIDQ5934358

Leonid Knizhnerman, Vladimir Druskin

Publication date: 19 June 2001

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1016600805438

zbMATH Keywords

algorithmfinite differencesHelmholtz equationelliptic and hyperbolic problemsexponential superconvergencegrid optimizationNyquist limitPadé-Chebyshev approximant

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (7)

Using generating functions to convert an implicit \((3,3)\) finite difference method to an explicit form on diffusion equation with different boundary conditions ⋮ Direct, Nonlinear Inversion Algorithm for Hyperbolic Problems via Projection-Based Model Reduction ⋮ Simulations of 3D DC borehole resistivity measurements with a goal-oriented \(hp\) finite-element method. Part II: Through-casing resistivity instruments ⋮ Multiscale S-Fraction Reduced-Order Models for Massive Wavefield Simulations ⋮ Application of the difference Gaussian rules to solution of hyperbolic problems. II: Global expansion ⋮ Exponential convergence through linear finite element discretization of stratified subdomains ⋮ Distance preserving model order reduction of graph-Laplacians and cluster analysis

This page was built for publication: Gaussian spectral rules for second order finite-difference schemes