Abstract
The problem of computing a curvilinear integral in the presence of rounding errors and uncertain initial data as well as error estimates for the numerical integration of interpolatory type applied to complex functions is considered.
Zusammenfassung
Das Problem der Berechnung von Kurvenintegralen unter Berücksichtigung von Rundungsfehlern und zuverlässiger Anfangswerte sowie die Fehlerabschätzung bei der numerischen Integration vom Interpolationstyp wird untersucht.
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References
Alefeld, G., Herzberger, J.: Introduction to Interval Computation. New York: Academic Press 1983.
Davis, P. J., Rabinowitz, P.: Methods of Numerical Integration. New York: Academic Press 1975.
Petković, L., Petković, M.: The representation of complex circular functions using Taylor series. ZAMM61, 661–662 (1981).
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Petković, L.D., Petković, M.S. On some applications of circular complex functions. Computing 41, 141–148 (1989). https://doi.org/10.1007/BF02238737
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DOI: https://doi.org/10.1007/BF02238737