Computation of Green’s functions through algebraic decomposition of operators

被引：0
|
作者：
F Adrián F Tojo
机构：
[1] Universidade de Santiago de Compostela,Departamento de Análise Matemática, Facultade de Matemáticas
来源：
Boundary Value Problems | / 2016卷
关键词：
Green’s functions; ODE; reflection; decomposition; 34Bxx; 47Lxx; 34Kxx;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we use linear algebra to improve the computational time for obtaining Green’s functions of linear differential equations with reflection (DER). This is achieved by decomposing both the ‘reduced’ equation (the ODE associated with a given DER) and the corresponding two-point boundary conditions.
引用
收藏
相关论文
共 50 条
  • [21] A Robust Method for the Computation of Green's Functions in Cylindrically Stratified Media
    Ye, Liang-Feng
    Zhao, Fei
    Xiao, Ke
    Chai, Shun-Lian
    [J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2012, 60 (06) : 3046 - 3051
  • [22] Fast Computation of Cylindrical Green's Functions with Graphic Processing Unit
    Wu, Jun
    Wang, Chao-Fu
    [J]. 2013 IEEE ANTENNAS AND PROPAGATION SOCIETY INTERNATIONAL SYMPOSIUM (APSURSI), 2013, : 1884 - 1885
  • [23] Reduced modelling computation of layered soil's harmonic green functions
    Othman, Ramzi
    Ammar, Amine
    Almitani, Khalid H.
    [J]. FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2020, 177 (177)
  • [24] A simple orthonormalization method for stable and efficient computation of Green's functions
    Wang, RJ
    [J]. BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA, 1999, 89 (03) : 733 - 741
  • [25] COMPUTATION OF DYADIC GREEN'S FUNCTIONS FOR GENERALIZED CYLINDERS IN FREE SPACE
    潘生根
    [J]. Journal of Electronics(China), 1985, (04) : 293 - 301
  • [26] Fast computation of spatial Green's functions of multilayered microstrip antennas
    He, XL
    Gong, SX
    Liu, QZ
    [J]. MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 2005, 45 (01) : 85 - 88
  • [27] Decay estimates of discretized Green's functions for Schrodinger type operators
    Lin Lin
    Lu Jianfeng
    [J]. SCIENCE CHINA-MATHEMATICS, 2016, 59 (08) : 1561 - 1578
  • [28] A semi-algebraic approach for the computation of Lyapunov functions
    She, Zhikun
    Xia, Bican
    Xiao, Rong
    [J]. PROCEEDINGS OF THE SECOND IASTED INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE, 2006, : 7 - +
  • [29] Efficient computation of algebraic immunity of symmetric Boolean functions
    Liu, Feng
    Feng, Keqin
    [J]. THEORY AND APPLICATIONS OF MODELS OF COMPUTATION, PROCEEDINGS, 2007, 4484 : 318 - +
  • [30] Polynomial operators and green functions - Abstract
    [J]. Lindell, I.V., 2000, VSP BV (14)
12345