Spectral approximation of third-order problems

被引：11
|
作者：
Heinrichs W. [1 ]
机构：
[1] Universität GH Essen, Ingenieurmathematik (FB 10), D-45117 Essen
来源：
Journal of Scientific Computing | 1999年 / 14卷 / 3期
关键词：
Pseudospectral; collocation; third-order problems; eigenvalues; preconditioning;
D O I：
10.1023/A:1023221619567
中图分类号：
学科分类号：
摘要：
We consider the pseudospectral approximation of third-order problems. The spectral operator is constructed. An eigenvalue analysis with the calculation on the characteristic polynomial is presented. The eigenvalues of the spectral operator are numerically determined. An efficient preconditioner based on finite differences is constructed. Numerical results are presented.
引用
收藏
页码：275 / 289
页数：14
相关论文
共 50 条
  • [21] PARTICLE TRAJECTORIES IN A TOROIDAL CONDENSER CALCULATED IN A THIRD-ORDER APPROXIMATION
    MATSUO, T
    MATSUDA, H
    WOLLNIK, H
    NUCLEAR INSTRUMENTS & METHODS, 1972, 103 (03): : 515 - &
  • [22] The epidemic model based on the approximation for third-order motifs on networks
    Li, Jinxian
    Li, Weiqiang
    Jin, Zhen
    MATHEMATICAL BIOSCIENCES, 2018, 297 : 12 - 26
  • [23] PARTICLE TRAJECTORIES IN A CYLINDRICAL CONDENSER CALCULATED IN A THIRD-ORDER APPROXIMATION
    MATSUO, T
    NUCLEAR INSTRUMENTS & METHODS, 1975, 126 (02): : 273 - 279
  • [24] Unperturbed chain dimensions of polysilane in the third-order interaction approximation
    Zhang, Linxi, 1600, (28):
  • [25] Quartic splines solutions of third-order obstacle problems
    Noor, MA
    Al-Said, EE
    APPLIED MATHEMATICS AND COMPUTATION, 2004, 153 (02) : 307 - 316
  • [26] Numerical solution of third-order boundary value problems
    Loghmani, G. B.
    Ahmadinia, M.
    IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2006, 30 (A3): : 291 - 295
  • [27] Suppression of third-order intermodulation in a klystron by third-order injection
    Bhattacharjee, S
    Marchewka, C
    Welter, J
    Kowalczyk, R
    Wilsen, CB
    Lau, YY
    Booske, JH
    Singh, A
    Scharer, JE
    Gilgenbach, RM
    Neumann, MJ
    Keyser, MW
    PHYSICAL REVIEW LETTERS, 2003, 90 (09)
  • [28] Nontrivial solution of third-order nonlinear eigenvalue problems
    Zhang, Xinguang
    Liu, Lishan
    Wu, Congxin
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 176 (02) : 714 - 721
  • [29] On Third-Order Boundary Value Problems with Multiple Characteristics
    Bendjazia, N.
    Guezane-Lakoud, A.
    Khaldi, R.
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2023, 31 (02) : 251 - 268
  • [30] SECOND AND THIRD-ORDER BOUNDARY-VALUE PROBLEMS
    SCHRADER, K
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 32 (01) : 247 - &
12345