Document Zbl 0526.30008

Convergence proofs and error estimates for an iterative method for conformal mapping. (English) Zbl 0526.30008

Numer. Math. 44, 435-461 (1984).

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MSC:

30C30	Schwarz-Christoffel-type mappings
65E05	General theory of numerical methods in complex analysis (potential theory, etc.)

Keywords:

Riemann-Hilbert problem; fast Fourier transform

Citations:

Zbl 0432.30006

Cite Review PDF

Full Text: DOI EuDML

References:

[1]	Fornberg, B.: A numerical method for conformal mappings. SIAM J. Sci. Stat. Comput.1, 386-400 (1980) · Zbl 0451.30003 · doi:10.1137/0901027
[2]	Gaier, D., Konstruktive Methoden der konformen Abbildung. Berlin-G?ttingen-Heidelberg: Springer 1964 · Zbl 0132.36702
[3]	Gaier, D.: Ableitungsfreie Absch?tzungen bei trigonometrischer Interpolation und Konjugierten-Bestimmung. Computing12, 145-148 (1974) · Zbl 0276.65004 · doi:10.1007/BF02260370
[4]	Henrici, P.: Einige Anwendungen der schnellen Fouriertransformation. In: Moderne Methoden der numerischen Mathematik (L. Collatz, ed.), S. 111-124. Basel-Stuttgart: Birkh?user 1976 · Zbl 0336.65016
[5]	Levin, V.I., Ste?kin, S.B.: Inequalities. AMS Translations14, 1-29 (1960)
[6]	Muskhelishvili, N.I.: Singular integral equations. Groningen: Noordhoff 1953 · Zbl 0051.33203
[7]	Warschawski, S.: ?ber einen Satz von O.D. Kellogg. Nachr. Ges. Wiss. G?ttingen, Math.-Phys. Kl.S. 73-86, 1932 · Zbl 0005.36103
[8]	Wegmann, R.: Ein Iterationsverfahren zur konformen Abbildung. Numer. Math.30, 453-466 (1978) · Zbl 0432.30006 · doi:10.1007/BF01398511
[9]	Wegmann, R.: Ein Iterationsverfahren zur konformen Abbildung. ZAMM59, T85-86 (1979) · Zbl 0409.30008
[10]	Zygmund, A.: Trigonometric series. Cambridge: University Press 1959 · Zbl 0085.05601

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