| Title:
|
Universal approximation by hill functions (English) |
| Author:
|
Segeth, Karel |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
22 |
| Issue:
|
4 |
| Year:
|
1972 |
| Pages:
|
612-640 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
41A15 |
| MSC:
|
65D15 |
| idZBL:
|
Zbl 0247.41011 |
| idMR:
|
MR0310502 |
| DOI:
|
10.21136/CMJ.1972.101130 |
| . |
| Date available:
|
2008-06-09T13:59:02Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101130 |
| . |
| Reference:
|
[1] I. Babuška: Approximation by hill functions.Comment. Math. Univ. Carolinae 11 (1970), 787-811. MR 0292309 |
| Reference:
|
[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 0273836 |
| Reference:
|
[3] I. Babuška: The rate of convergence for the finite element method.SIAM J. Numer. Anal. 5 (1971), 304-315. MR 0287715, 10.1137/0708031 |
| Reference:
|
[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. |
| Reference:
|
[5] W. Feller: An introduction to probability theory and its applications.Vol. 2, Wiley, New York 1966. Zbl 0138.10207, MR 0210154 |
| Reference:
|
[6] G. Fix G. Strang: Fourier analysis of the finite element method in Ritz-Galerkin theory.Studies in Appl. Math. 48 (1969), 265-273. MR 0258297, 10.1002/sapm1969483265 |
| Reference:
|
[7] I. M. GeVfand G. E. Silov: Generalized functions.Vol. 1 & 2, Gos. izd. fiz.-mat. lit., Moscow 1958 (Russian). |
| Reference:
|
[8] F. Di Guglielmo: Construction d'approximations des espaces de Sobolev sur des reseaux en Simplexes.Calcolo 6 (1969), 279-331. Zbl 0198.46206, MR 0433113, 10.1007/BF02576159 |
| Reference:
|
[9] J.-L. Lions E. Magenes: Problèmes aux limites non homogènes et applications.Vol. 1, Dunod, Paris 1968. MR 0247243 |
| Reference:
|
[10] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Academia, Prague 1967. MR 0227584 |
| Reference:
|
[11] J. Segethova: Numerical construction of the hill functions.SIAM J. Numer. Anal., 9 (1972), 199-204. Zbl 0243.65004, MR 0305552, 10.1137/0709018 |
| Reference:
|
[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 0287723 |
| Reference:
|
[13] G. Strang G. Fix: A Fourier analysis of the finite element variational method.to appear. |
| Reference:
|
[14] K. Yosida: Functional analysis.Academic Press, New York-London 1965. Zbl 0126.11504, MR 0180824 |
| . |
