Skip navigation


  • DSpace logo
  • Home
  • Collections
  • Researcher Profile
  • Explore by
    • Researcher Profile
  • VGU library
  • Help
  • User Guide
  • Sign on to:
    • My DSpace
    • Receive email
      updates
    • Edit Account details

VGU RESEARCH REPOSITORY


Please use this identifier to cite or link to this item: https://epub.vgu.edu.vn/handle/dlibvgu/50
Title: Solving non-strongly elliptic pseudodifferential equations on a sphere using radial basis functions
Authors: Pham Thanh Duong 
Thanh Tran
Keywords: Elliptic pseudodifferential equation;Sphere;Radial basis function;Galerkin method;Collocation method
Issue Date: 2015
Publisher: Elsevier
Journal/Book titles: Computers & Mathematics with Applications 
Series/Report no.: Computers & Mathematics with Applications;Vol.70 (8) issue 8
Abstract: 
Non-strongly elliptic pseudodifferential equations on the unit sphere arise from geodesy. An example of equations of this type is the boundary integral reformulation of a boundary value problem with the Laplace equation in the interior domain of the unit sphere, and a Robin boundary condition. Approximate solutions with spherical radial basis functions are found by the Galerkin and collocation methods. The paper presents a unified theory for error analysis of both approximation methods. The theoretical results are corroborated by numerical experiments. It is noted that the stiffness matrix arising from the Galerkin method for this problem resembles that arising from a least squares method .1970–1983
URI(1): http://epub.vgu.edu.vn/handle/dlibvgu/50
Appears in Collections:ARTICLE/BOOK PUBLICATION

Files in This Item:
File SizeFormat
Solving non-strongly elliptic pseudodifferential equations on a sphere using radial basis functions.pdf453.28 kBAdobe PDFView/Open
Show full item record

Page view(s)

77
checked on Oct 30, 2025

Download(s)

19
checked on Oct 30, 2025

Google ScholarTM

Check


Items are protected by © Copyright of Vietnamese - German University Library

© Copyright 2020 by Vietnamese - German University Library.
Add: Ring road 4, Quarter 4, Thoi Hoa Ward, Ben Cat City, Binh Duong Province
Tel.:(0274) 222 0990. Ext.: 70206