On the optimal computation of Fourier coefficients
Aplikace matematiky (1966)
- Volume: 11, Issue: 2, page 113-123
- ISSN: 0862-7940
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topBabuška, Ivo. "Über die optimale Berechnung der Fourierschen Koeffizienten." Aplikace matematiky 11.2 (1966): 113-123. <http://eudml.org/doc/14396>.
@article{Babuška1966,
author = {Babuška, Ivo},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {ger},
number = {2},
pages = {113-123},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Über die optimale Berechnung der Fourierschen Koeffizienten},
url = {http://eudml.org/doc/14396},
volume = {11},
year = {1966},
}
TY - JOUR
AU - Babuška, Ivo
TI - Über die optimale Berechnung der Fourierschen Koeffizienten
JO - Aplikace matematiky
PY - 1966
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 11
IS - 2
SP - 113
EP - 123
LA - ger
KW - numerical analysis
UR - http://eudml.org/doc/14396
ER -
References
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- G. Kowalewski, Interpolation und Genäherte Quadratur, Leipzig 1932. (1932) Zbl0004.05605
- P. J. Davis, On the Numerical Integration of Periodic Analytic Functions. On numerical Approximation, Proceedings of a Symposium Conducted by the Nath. Res. Center US Army at the University of Wisconsin, Madison, April 21-23, 1958. Madison 1959 (Edited by R. E. Langer). (1958) MR0100354
- L. N. G. Filon, On a quadrature formula for trigonometric integrals, Proc. Roy. Soc. Edinburg 49, 38-47 (1928). (1928)
- I. Babuška M. Práger E. Vitásek, Numerical Processes in Differential Equations, J. Wiley 1966. (1966) MR0223101
- W. Dällenbach, Verschärftes rechnerisches Verfahren der harmonischen Analyse, Arch. Elektrotechn. 10 (1922). (1922)
- W. Quade L. Collatz, Zur Inerpolationstheorie der reellen periodischen Funktionen, S-B Preuss. Akad. Wiss. Phys. Math. 30 (1938). (1938)
- F. L. Bauer H. J. Stetter, Zur numerischen Fourier Transformation, Numerische Mathe- matik I, 208-220 (1959). (1959) MR0107991
- H. Brakhage, Bemerkung zur optimalen Approximation von linearen Funktionalen periodischer Funktionen, Tagung der Deutschen Mathematischen Vereinigung in Halle, 17-24. Sept. 1961. (1961)
- I. Babuška, Über optimale Formeln zur numerischen Berechnung linearer Funktionale, Aplikace matematiky 10, 441-443 (1965). (1965) MR0207203
Citations in EuDML Documents
top- Ivo Babuška, O regularisaci optimální formule pro výpočet Fourierových koeficientů
- Ivo Babuška, Über optimale Quadraturformeln im Raume periodischer Funktionen
- Ivo Babuška, Über universal optimale Quadraturformeln
- Karel Segeth, On universally optimal quadrature formulae involving values of derivatives of integrand
- Petr Přikryl, Optimal universal approximations of Fourier coefficients in spaces of continuous periodic functions
- Ivo Babuška, Problems of optimization and numerical stability in computations
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