Transfer of boundary conditions for Poisson's equation on a circle
Applications of Mathematics (1994)
- Volume: 39, Issue: 1, page 15-23
- ISSN: 0862-7940
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topTaufer, Jiří, and Vitásek, Emil. "Transfer of boundary conditions for Poisson's equation on a circle." Applications of Mathematics 39.1 (1994): 15-23. <http://eudml.org/doc/32866>.
@article{Taufer1994,
abstract = {The method of transfer of boundary conditions yields a universal frame into which most methods for solving boundary value problems for ordinary differential equations can be included. The purpose of this paper is to show a possibility to extend the idea of transfer of conditions to a particular twodimensional problem.},
author = {Taufer, Jiří, Vitásek, Emil},
journal = {Applications of Mathematics},
keywords = {numerical analysis; transfer of conditions; invariant imbedding; Dirichlet problem for Poisson’s equation; transfer of boundary conditions; Dirichlet problem; Poisson equation; Fourier series},
language = {eng},
number = {1},
pages = {15-23},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Transfer of boundary conditions for Poisson's equation on a circle},
url = {http://eudml.org/doc/32866},
volume = {39},
year = {1994},
}
TY - JOUR
AU - Taufer, Jiří
AU - Vitásek, Emil
TI - Transfer of boundary conditions for Poisson's equation on a circle
JO - Applications of Mathematics
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 1
SP - 15
EP - 23
AB - The method of transfer of boundary conditions yields a universal frame into which most methods for solving boundary value problems for ordinary differential equations can be included. The purpose of this paper is to show a possibility to extend the idea of transfer of conditions to a particular twodimensional problem.
LA - eng
KW - numerical analysis; transfer of conditions; invariant imbedding; Dirichlet problem for Poisson’s equation; transfer of boundary conditions; Dirichlet problem; Poisson equation; Fourier series
UR - http://eudml.org/doc/32866
ER -
References
top- Initial value methods for boundary value problems—Theory and applications of invariant imbedding, Academic Press, New York, 1973. (1973) MR0488791
- Lösung der Randwertprobleme für Systeme von linearen Differentialgleichungen, Rozpravy ČSAV 5, 83 (1973). (1973) Zbl0276.34009
- Transfer of conditions for singular boundary value problems, Apl. mat. 34 (1989), 246–258. (1989) MR0996899
- Tables of integrals, sums, series and products, GITTL, Moscow, 1951. (Russian) (1951)
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