Numerical Analysis of SingularWeighted

نویسنده

  • Peter Henrici
چکیده

{Zusammenfassung Numerical Analysis of Singular Weighted Integrals. In this article we investigate the numerical aspects of integrals of the form b Z a f(x)(x)dx (1) where f is an unobjectionable function and is singular, i.e. is oscillating with high frequency, is discontinuous or unbounded. Suitable integration algorithms are presented. Numerik singul ar gewichteter Integrale. In diesem Artikel wird die Numerik von Integralen der Form (1) untersucht, wobei f eine numerisch unbedenkliche Funktion und eine singull are Funktion ist, d.h. oszilliert mit hoher Frequenz, ist unstetig oder unbeschrr ankt. Geeignete Integrationsalgorithmen werden entwickelt.

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تاریخ انتشار 2007