\(L\)-stable Simpson's 3/8 rule and Burgers' equation
type: Item
instance of: scholarly article
title: \(L\)-stable Simpson's 3/8 rule and Burgers' equation
zbMATH Open document ID: 1229.65188
author: Juan-Miguel Gracia
published in: Applied Mathematics and Computation
publication date: 2011-11-22T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 5976258
zbMATH Keywords: Hopf-Cole transformation
zbMATH Keywords: Burgers equation
zbMATH Keywords: Simpson's 3/8 rule
zbMATH Keywords: \(L\)-stability
zbMATH Keywords: unconditional stability
zbMATH Keywords: Mathematica 7.0
zbMATH Keywords: origin 7.5
zbMATH Keywords: numerical examples
zbMATH Keywords: diffusion equation
zbMATH Keywords: backward Euler formula
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: j.amc.2011.06.017
OpenAlex ID: W1976046473
cites work: A class of generalized trapezoidal formulas for the numerical integration of
cites work: Generalized trapezoidal formulas for parabolic equations
cites work: A new L-stable Simpson-type rule for the diffusion equation
cites work: On a quasi-linear parabolic equation occurring in aerodynamics
cites work: Q5783502
cites work: The partial differential equation ut + uux = μxx
cites work: A numerical method based on Crank-Nicolson scheme for Burgers' equation
cites work: The Extrapolation of First Order Methods for Parabolic Partial Differential Equations. I
cites work: Q3208026
cites work: Q4315885
cites work: Q5536978
cites work: Q4171531
cites work: Q4855462
DOI: 10.1016/J.AMC.2011.06.017
description: scientific article; zbMATH DE number 5976258