Solving nonlinear ODEs with the ultraspherical spectral method

被引:0
|
作者
Qin, Ouyuan [1 ]
Xu, Kuan [1 ]
机构
[1] School of Mathematical Sciences, University of Science and Technology of China, 96 Jinzhai Road, Anhui, Hefei,230026, China
来源
arXiv | 2023年
关键词
Engineering Village;
D O I
暂无
中图分类号
学科分类号
摘要
Boundary-value problem - Chebyshev polynomials - Inexact newtons - Jacobians - Mixed precision - Nonlinear ODEs - Preconditioners - Spectral methods - Ultraspherical polynomials - Vector multiplication
引用
收藏
相关论文
共 50 条
  • [1] Solving nonlinear ODEs with the ultraspherical spectral method
    Qin, Ouyuan
    Xu, Kuan
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2024, 44 (06) : 3749 - 3779
  • [2] Solving Time-Dependent PDEs with the Ultraspherical Spectral Method
    Lu Cheng
    Kuan Xu
    Journal of Scientific Computing, 2023, 96
  • [3] Solving Time-Dependent PDEs with the Ultraspherical Spectral Method
    Cheng, Lu
    Xu, Kuan
    JOURNAL OF SCIENTIFIC COMPUTING, 2023, 96 (03)
  • [4] The ultraspherical spectral element method
    Fortunato, Daniel
    Hale, Nicholas
    Townsend, Alex
    JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 436
  • [5] Ultraspherical spectral integration method for solving linear integro-differential equations
    Mathematics Department, Faculty of Science, Helwan University, Cairo, Egypt
    不详
    不详
    不详
    World Acad. Sci. Eng. Technol., 2009, (880-887):
  • [6] Approaches to solving nonlinear ODEs
    Wolf, T
    Brand, A
    MATHEMATICS AND COMPUTERS IN SIMULATION, 1996, 42 (4-6) : 391 - 398
  • [7] A modification of pseudo-spectral method for solving a linear ODEs with singularity
    Babolian, E.
    Bromilow, M.
    England, R.
    Saravi, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (02) : 1260 - 1266
  • [8] SPECTRAL METHOD FOR SOLVING NONLINEAR WAVE EQUATIONS
    常谦顺
    吴声昌
    Acta Mathematicae Applicatae Sinica(English Series), 1984, (02) : 99 - 107
  • [9] Solving a singular system of two nonlinear ODEs
    Lu, Xueqin
    Cui, Minggen
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 198 (02) : 534 - 543
  • [10] Solving Fractional Differential Equations by the Ultraspherical Integration Method
    Khani, Ali
    Panahi, Saeid
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40