On the optimal computation of Fourier coefficients

Ivo Babuška

Aplikace matematiky (1966)

  • Volume: 11, Issue: 2, page 113-123
  • ISSN: 0862-7940

Abstract

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Diese Arbeit behandelt die Fragen einer numerischen Quadraturformel mit optimalen Eigenschaften für eine grosse Klasse von Funktionalräumen.

How to cite

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Babuška, 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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  1. И. Бабушка С. Л. Соболев, Оптимизация численных методов, Aplikace matematiky 10, 96-128, (1965). (1965) Zbl1225.00032
  2. G. Kowalewski, Interpolation und Genäherte Quadratur, Leipzig 1932. (1932) Zbl0004.05605
  3. 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
  4. L. N. G. Filon, On a quadrature formula for trigonometric integrals, Proc. Roy. Soc. Edinburg 49, 38-47 (1928). (1928) Zbl55.0946.02
  5. I. Babuška M. Práger E. Vitásek, Numerical Processes in Differential Equations, J. Wiley 1966. (1966) Zbl0156.16003MR0223101
  6. W. Dällenbach, Verschärftes rechnerisches Verfahren der harmonischen Analyse, Arch. Elektrotechn. 10 (1922). (1922) 
  7. W. Quade L. Collatz, Zur Inerpolationstheorie der reellen periodischen Funktionen, S-B Preuss. Akad. Wiss. Phys. Math. 30 (1938). (1938) Zbl65.0543.01
  8. F. L. Bauer H. J. Stetter, Zur numerischen Fourier Transformation, Numerische Mathe- matik I, 208-220 (1959). (1959) Zbl0096.10401MR0107991
  9. H. Brakhage, Bemerkung zur optimalen Approximation von linearen Funktionalen periodischer Funktionen, Tagung der Deutschen Mathematischen Vereinigung in Halle, 17-24. Sept. 1961. (1961) 
  10. I. Babuška, Über optimale Formeln zur numerischen Berechnung linearer Funktionale, Aplikace matematiky 10, 441-443 (1965). (1965) Zbl0221.65034MR0207203

Citations in EuDML Documents

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  1. Ivo Babuška, O regularisaci optimální formule pro výpočet Fourierových koeficientů
  2. Ivo Babuška, Über optimale Quadraturformeln im Raume periodischer Funktionen
  3. Ivo Babuška, Über universal optimale Quadraturformeln
  4. Karel Segeth, On universally optimal quadrature formulae involving values of derivatives of integrand
  5. Petr Přikryl, Optimal universal approximations of Fourier coefficients in spaces of continuous periodic functions
  6. Ivo Babuška, Problems of optimization and numerical stability in computations

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