On a class of Padé finite volume methods
type: Item
instance of: scholarly article
title: On a class of Padé finite volume methods
zbMATH Open document ID: 0940.65092
published in: Journal of Computational Physics
publication date: 2000-07-10T00:00:00Z
review text: A class of Padé finite volume methods is presented that provides an improved spectral resolution. They are compared to well-known methods. Using Fourier analysis these methods are examined with respect to order of accuracy, spectral resolution, boundary conditions, and stability.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35L45
zbMATH DE Number: 1398867
zbMATH Keywords: finite volume method
zbMATH Keywords: spectral resolution
zbMATH Keywords: Padé interpolation
zbMATH Keywords: stability
author: Marcelo H. Kobayashi
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
full work available at URL: jcph.1999.6376
OpenAlex ID: W2340739500
cites work: Q5690484
cites work: Spectral and finite difference solutions of the Burgers equations
cites work: Q4154030
cites work: The stability of numerical boundary treatments for compact high-order finite-difference schemes
cites work: Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
cites work: Q3125065
cites work: Optimized compact-difference-based finite-volume schemes for linear wave phenomena
cites work: Q4199478
cites work: Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II
cites work: Uniformly high order accurate essentially non-oscillatory schemes. III
cites work: Partial differential equations. 4th ed
cites work: Stability Theory for Difference Approximations of Mixed Initial Boundary Value Problems. I
cites work: A pseudospectral method for solution of the three-dimensional incompressible Navier-Stoke equations
cites work: Q5521405
cites work: Q4695311
cites work: Compact finite difference schemes with spectral-like resolution
cites work: A stable and accurate convective modelling procedure based on quadratic upstream interpolation
cites work: A fourth-order finite volume method with collocated variable arrangement
cites work: A family of high order finite difference schemes with good spectral resolution
cites work: An analysis of finite volume, finite element, and finite difference methods using some concepts from algebraic topology
cites work: Spectral methods for problems in complex geometries
cites work: Boundary conditions for direct simulations of compressible viscous flows
cites work: Q5528072
cites work: Q3857636
cites work: Initial boundary value problems for the method of lines
cites work: Q3959371
cites work: Analysis of a fourth-order compact scheme for convection-diffusion
DOI: 10.1006/JCPH.1999.6376
description: scientific article; zbMATH DE number 1398867