On the stability of collocation methods for the two-dimensional Burgers equation - the Fourier case

被引：0
|
作者：
Marion, Martine [1 ]
机构：
[1] Ecole Centrale de Lyon, Ecully, France
来源：
Journal of Scientific Computing | 1994年 / 9卷 / 04期
关键词：
Mathematical techniques - Stability;
D O I：
暂无
中图分类号：
O24 [计算数学];
学科分类号：
070102 ;
摘要：
We investigate Fourier collocation approximations of the evolutionary two-dimensional Burgers equation. The numerical schemes are not required to be semi-conservative. We obtain stability estimates in the H1(Ω) norm that are uniform in time. Our results show that collocation techniques do not yield instability, at least if the resolution is fine enough.
引用
收藏
页码：405 / 417
相关论文
共 50 条
  • [1] Multistep Methods for the Numerical Simulation of Two-Dimensional Burgers’ Equation
    Vijitha Mukundan
    Ashish Awasthi
    V. S. Aswin
    Differential Equations and Dynamical Systems, 2022, 30 : 909 - 932
  • [2] Multistep Methods for the Numerical Simulation of Two-Dimensional Burgers' Equation
    Mukundan, Vijitha
    Awasthi, Ashish
    Aswin, V. S.
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2022, 30 (04) : 909 - 932
  • [3] Orthogonal Collocation Method of the Two-dimensional Burgers Equations
    Ma, Ning
    Bian, Wen-liang
    2018 3RD INTERNATIONAL CONFERENCE ON COMPUTATIONAL MODELING, SIMULATION AND APPLIED MATHEMATICS (CMSAM 2018), 2018, 310 : 173 - 178
  • [4] TWO-DIMENSIONAL BURGERS-EQUATION
    BARTUCCELLI, M
    PANTANO, P
    BRUGARINO, T
    LETTERE AL NUOVO CIMENTO, 1983, 37 (12): : 433 - 438
  • [5] Finite differences and collocation methods for the solution of the two-dimensional heat equation
    Kouatchou, J
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2001, 17 (01) : 54 - 63
  • [6] A spectral approximation of the two-dimensional Burgers' equation
    Boules, AN
    Eick, IJ
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (02): : 299 - 309
  • [7] Exact solutions of the two-dimensional Burgers equation
    Sirendaoreji
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1999, 32 (39): : 6897 - 6900
  • [8] Two-dimensional Riemann problem for Burgers' equation
    Yoon, Daeki
    Hwang, Woonjae
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (01) : 191 - 205
  • [9] ON COLLOCATION METHODS FOR SOLVING THE NEUTRON-TRANSPORT EQUATION IN TWO-DIMENSIONAL PROBLEMS
    LIU, CF
    DU, MS
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 1986, 4 (02): : 97 - 110
  • [10] NUMERICAL RESOLUTION OF COUPLED TWO-DIMENSIONAL BURGERS' EQUATION
    Cristescu, Ion Aurel
    ROMANIAN JOURNAL OF PHYSICS, 2017, 62 (1-2):
12345