Highly accurate approximations of Green's and Neumann functions on rectangular domains

R. C. McCann, R. D. Hazlett, D. K. Babu

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

Green's and Neumann functions of -Δ, where Δ is the Laplacian operator, on a rectangular domain are approximated to any desired degree of accuracy by finite series. Many applications require only a modest number of terms. Upper bounds for the errors in these approximations are also derived. The approximating functions reveal the structural similarities and differences in Green's and Neumann functions.

Original languageEnglish
Pages (from-to)767-772
Number of pages6
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume457
Issue number2008
DOIs
Publication statusPublished - Apr 8 2001
Externally publishedYes

Keywords

  • Accuracy
  • Analysis
  • Green's functions
  • Laplace
  • Neumann

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering
  • General Physics and Astronomy

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