Recent advances in the study of a fourth-order compact scheme for the one-dimensional biharmonic equation
type: Item
instance of: scholarly article
title: Recent advances in the study of a fourth-order compact scheme for the one-dimensional biharmonic equation
zbMATH Open document ID: 1254.65117
author: Dalia Fishelov
author: Matania Ben-Artzi
author: Jean-Pierre Croisille
published in: Journal of Scientific Computing
publication date: 2013-01-10T00:00:00Z
Mathematics Subject Classification ID: 65N06
zbMATH DE Number: 6123938
zbMATH Keywords: discrete biharmonic operator
zbMATH Keywords: nonhomogeneous boundary conditions
zbMATH Keywords: fourth-order convergence
zbMATH Keywords: Hermite interpolation
zbMATH Keywords: compact schemes
MaRDI profile type: Publication
full work available at URL: s10915-012-9611-x
OpenAlex ID: W2131005749
cites work: On error bounds of finite difference approximations to partial differential equations. -- Temporal behavior and rate of convergence
cites work: Multigrid Solution of Automatically Generated High-Order Discretizations for the Biharmonic Equation
cites work: Convergence of a Compact Scheme for the Pure Streamfunction Formulation of the Unsteady Navier–Stokes System
cites work: A Fast Direct Solver for the Biharmonic Problem in a Rectangular Grid
cites work: High-order accurate solution of the incompressible Navier--Stokes equations
cites work: High‐order compact scheme for the steady stream‐function vorticity equations
cites work: Extension of high-order compact schemes to time-dependent problems
cites work: The stability of numerical boundary treatments for compact high-order finite-difference schemes
cites work: Essentially compact schemes for unsteady viscous incompressible flows
cites work: Recent developments in the pure streamfunction formulation of the Navier-Stokes system
cites work: A single cell high order scheme for the convection-diffusion equation with variable coefficients
cites work: The Convergence Rate for Difference Approximations to Mixed Initial Boundary Value Problems
cites work: The Convergence Rate for Difference Approximations to General Mixed Initial-Boundary Value Problems
cites work: Compact finite difference schemes with spectral-like resolution
cites work: A compact fourth-order finite difference scheme for unsteady viscous incompressible flows.
cites work: Single cell discretizations of order two and four for biharmonic problems
DOI: 10.1007/S10915-012-9611-X
description: scientific article; zbMATH DE number 6123938