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Conformal mapping of doubly-connected domains. (English) Zbl 0174.20602
References:
[1]Gaier, D.: Konstruktive Methoden der konformen Abbildung. Springer Tracts in Natural Philosophy, Vol. 3. Berlin-Göttingen-Heidelberg-New York: Springer 1964.
[2]Garrick, I. E.: Potential flow about arbitrary biplane wing sections. NACA Report 542, 1936.
[3]Jaswon, M. A.: Integral equation methods in potential theory. I. Proc. Roy. Soc. A275, 23–32 (1963). · Zbl 0112.33103 · doi:10.1098/rspa.1963.0152
[4]Kantorovich, L. V., Krylov, V. I.: Approximate methods of higher analysis. Groningen: Noordhoff 1964.
[5]Laura, P. A.: Conformal mapping of a class of doubly connected regions. NASA Tech. Rep. No. 8, The Catholic University of America, Washington, 1965
[6]Lewis, G. K.: Flow and load parameters of hydrostatic oil bearings for several port shapes. J. Mech. Eng. Sci.8, 173–184 (1966). · doi:10.1243/JMES_JOUR_1966_008_022_02
[7]Mikhlin, S. G.: Integral equations. London: Pergamon 1957.
[8]Muskhelishvili, N. I.: Some basic problems of the mathematical theory of elasticity. Groningen: Noordhoff 1953.
[9]Opfer, G.: Untere, beliebig verbesserbare Schranken für den Modul eines zweifach zusammenhängenden Gebietes mit Hilfe von Differenzenverfahren. Dissertation, Hamburg, 1967.
[10]Royden, H. L.: A modification of the Neumann-Poincaré method for multiply connected regions. Pacific J. Maths.2, 385–394 (1952).
[11]Savin, G. N.: Stress concentration around holes. London: Pergamon 1961.
[12]Sugiyama, H., Joh, K.: A numerical procedure of conformal mapping in case of simply, doubly and multiply connected domains from the viewpoint of Monte Carlo approach (I). Tech. Rep. Osaka Univ.12, No. 488 (1962).
[13]Symm, G. T.: An integral equation method in conformal mapping. Num. Math.9, 250–258 (1966). · Zbl 0156.16901 · doi:10.1007/BF02162088
[14]—- Numerical mapping of exterior domains. Num. Math.10, 437–445 (1967) · Zbl 0155.21502 · doi:10.1007/BF02162876
[15]Ugodčikov, A. G.: Electromodelling of the conformal mapping of a circular cylinder onto a given doubly connected region. Ukrain. Mat. Ž.7, 305–312 (1955)
[16]Wilson, H. B.: A method of conformal mapping and the determination of stresses in solid propellant rocket grains. Report No. S-38, Rohm and Haas Co., Alabama, 1963