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 language | English |
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Pages (from-to) | 767-772 |
Number of pages | 6 |
Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
Volume | 457 |
Issue number | 2008 |
DOIs | |
Publication status | Published - Apr 8 2001 |
Externally published | Yes |
Keywords
- Accuracy
- Analysis
- Green's functions
- Laplace
- Neumann
ASJC Scopus subject areas
- General Mathematics
- General Engineering
- General Physics and Astronomy