Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblSegeth, Karel. Universal approximation by hill functions. Czechoslovak Mathematical Journal, Tome 22 (1972) no. 4, pp. 612-640. doi: 10.21136/CMJ.1972.101130
@article{10_21136_CMJ_1972_101130,
author = {Segeth, Karel},
title = {Universal approximation by hill functions},
journal = {Czechoslovak Mathematical Journal},
pages = {612--640},
year = {1972},
volume = {22},
number = {4},
doi = {10.21136/CMJ.1972.101130},
mrnumber = {0310502},
zbl = {0247.41011},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1972.101130/}
}
[1] I. Babuška: Approximation by hill functions. Comment. Math. Univ. Carolinae 11 (1970), 787-811. | MR
[2] I. Babuška: The finite element method for elliptic differential equations. Numerical solution of partial differential equations II (Proc. of SYNSPADE 1970), Academic Press, New York - London 1971, 69-106. | MR
[3] I. Babuška: The rate of convergence for the finite element method. SIAM J. Numer. Anal. 5 (1971), 304-315. | DOI | MR
[4] I. Babuška J. Segethova K. Segeth: Numerical experiments with finite element method I. Tech. Note BN-669, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, August 1970.
[5] W. Feller: An introduction to probability theory and its applications. Vol. 2, Wiley, New York 1966. | MR | Zbl
[6] G. Fix G. Strang: Fourier analysis of the finite element method in Ritz-Galerkin theory. Studies in Appl. Math. 48 (1969), 265-273. | DOI | MR
[7] I. M. GeVfand G. E. Silov: Generalized functions. Vol. 1 & 2, Gos. izd. fiz.-mat. lit., Moscow 1958 (Russian).
[8] F. Di Guglielmo: Construction d'approximations des espaces de Sobolev sur des reseaux en Simplexes. Calcolo 6 (1969), 279-331. | DOI | MR | Zbl
[9] J.-L. Lions E. Magenes: Problèmes aux limites non homogènes et applications. Vol. 1, Dunod, Paris 1968. | MR
[10] J. Nečas: Les méthodes directes en théorie des équations elliptiques. Academia, Prague 1967. | MR
[11] J. Segethova: Numerical construction of the hill functions. SIAM J. Numer. Anal., 9 (1972), 199-204. | DOI | MR | Zbl
[12] G. Strang: The finite element method and approximation theory. Numerical solution of partial diff'erential equations 11 (Proc. of SYNSPADE 1970), Academic Press, New York- London 1971, 547-583. | MR
[13] G. Strang G. Fix: A Fourier analysis of the finite element variational method. to appear.
[14] K. Yosida: Functional analysis. Academic Press, New York-London 1965. | MR | Zbl
Cité par Sources :