The Crank–Nicolson/Adams–Bashforth scheme for the Burgers equation with H 2 and H 1 initial data-Reference-Cited by-同舟云学术

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The Crank–Nicolson/Adams–Bashforth scheme for the Burgers equation with H 2 and H 1 initial data

Published:2018-03 Issue: Volume:125 Page:103-142
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Zhang Tong,Jin JiaoJiao,HuangFu YuGao

Funder

CAPES and CNPq

Foundation for University Key Teacher by the Henan Province

Foundation of Distinguished Young Scientists of HPU

Natural Science Foundation of the Education Department of Henan Province

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference38 articles.

1. Sobolev Spaces;Adams,1975

2. Implicit–explicit multistep finite element methods for nonlinear parabolic problems;Akrivis;Math. Comput.,1998

3. Quadratic B-spline finite element method for numerical solution of the Burgers' equation;Aksan;Appl. Math. Comput.,2006

4. Error estimates for finite element solution of the Stokes problem in the primitive variables;Bercovier;Numer. Math.,1979

5. Asymptotic stability and bifurcation of time-periodic solutions for the viscous Burgers' equation;Chen;J. Math. Anal. Appl.,2016

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1. Stabilization of nonautonomous linear parabolic-like equations: Oblique projections versus Riccati feedbacks;Evolution Equations and Control Theory;2023

2. A Computational Analysis of the Hopmoc Method Applied to the 2-D Advection-Diffusion and Burgers Equations;Computational Science and Its Applications – ICCSA 2021;2021

3. Stability and convergence of two‐grid Crank‐Nicolson extrapolation scheme for the time‐dependent natural convection equations;Mathematical Methods in the Applied Sciences;2019-06-23

4. Parallel two-grid finite element method for the time-dependent natural convection problem with non-smooth initial data;Computers & Mathematics with Applications;2019-04

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