EIGENVALUE ANALYSIS AND APPLICATIONS OF THE LEGENDRE DUAL-PETROV-GALERKIN METHODS FOR INITIAL VALUE PROBLEMS

被引：0
|
作者：
Kong, Desong [1 ]
Shen, Jie [2 ]
Wang, Li-Lian [3 ]
Xiang, Shuhuang [1 ]
机构：
[1] School of Mathematics and Statistics, Central South University, Changsha,410083, China
[2] Department of Mathematics, Purdue University, West Lafayette,IN,47907, United States
[3] Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, 637371, Singapore
来源：
arXiv | 2022年
关键词：
Compendex;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Initial value problems
引用
收藏
相关论文
共 50 条
  • [1] Eigenvalue analysis and applications of the Legendre dual-Petrov-Galerkin methods for initial value problems
    Kong, Desong
    Shen, Jie
    Wang, Li-Lian
    Xiang, Shuhuang
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2024, 50 (05)
  • [2] Legendre and Chebyshev dual-Petrov-Galerkin methods for Hyperbolic equations
    Shen, Jie
    Wang, Li-Lian
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (37-40) : 3785 - 3797
  • [3] EFFICIENT LEGENDRE DUAL-PETROV-GALERKIN METHODS FOR ODD-ORDER DIFFERENTIAL EQUATIONS
    Li, Shan
    Yan, Shi-Mi
    Wang, Zhong-Qing
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2020, 25 (04): : 1543 - 1563
  • [4] Laguerre and composite Legendre-Laguerre dual-Petrov-Galerkin methods for third-order equations
    Shen, Jie
    Wang, Li-Lian
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2006, 6 (06): : 1381 - 1402
  • [5] A LEGENDRE DUAL-PETROV-GALERKIN SPECTRAL ELEMENT METHOD FOR THE KAWAHARA-TYPE EQUATIONS
    Wen, Xian
    Yu, Xuhong
    Wang, Zhongqing
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, : 3349 - 3372
  • [6] A Dual-Petrov-Galerkin Method for the Kawahara-Type Equations
    Juan-Ming Yuan
    Jie Shen
    Jiahong Wu
    Journal of Scientific Computing, 2008, 34 : 48 - 63
  • [7] A dual-Petrov-Galerkin method for the Kawahara-type equations
    Yuan, Juan-Ming
    Shen, Jie
    Wu, Jiahong
    JOURNAL OF SCIENTIFIC COMPUTING, 2008, 34 (01) : 48 - 63
  • [8] EFFICIENT AND ACCURATE CHEBYSHEV DUAL-PETROV-GALERKIN METHODS FOR ODD-ORDER DIFFERENTIAL EQUATIONS
    Yu, Xuhong
    Jin, Lusha
    Wang, Zhongqing
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 39 (01): : 43 - 62
  • [9] Discontinuous Petrov-Galerkin Approximation of Eigenvalue Problems
    Bertrand, Fleurianne
    Boffi, Daniele
    Schneider, Henrik
    COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2023, 23 (01) : 1 - 17
  • [10] Two Legendre-Dual-Petrov-Galerkin Algorithms for Solving the Integrated Forms of High Odd-Order Boundary Value Problems
    Abd-Elhameed, Waleed M.
    Doha, Eid H.
    Bassuony, Mahmoud A.
    SCIENTIFIC WORLD JOURNAL, 2014,
12345