Bibliography for Computer Graphics for Complex Functions

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  1. Pictures by conformal mapping.  
    Uehara, Masahiro
    Forma  16  (2001),  no. 1, 1--15, MathSciNet.  
  2. P. K. Kythe, Computational Conformal Mapping
    Papamichael N.
    Journal of Approximation Theory, October 2000, vol. 106, no. 2, pp. 292-293(2), Ingenta.  
  3. Computational Conformal Mapping for Surface Grid Generation
    Khamayseh A.; Mastin C.W.
    Journal of Computational Physics, February 1996, vol. 123, no. 2, pp. 394-401(8), Ingenta.     
  4. The graphs of complex functions in 4-dimensional space and their projections on the 2-dimensional plane. (Chinese. English, Chinese summary)  
    Xie, Bu Ying  
    Tongji Daxue Xuebao Ziran Kexue Ban 23 (1995), no. 1, 113--116, MathSciNet.  
  5. Handbook of conformal mapping with computer-aided visualization.
    Ivanov, V. I.; Trubetskov, M. K.
    CRC Press, Boca Raton, FL, 1995. vi+360 pp., MathSciNet.  
  6. Some conformal map constructs for numerical grids.
    Carey, G. F.; Muleshkov, A.
    Comm. Numer. Methods Engrg. 11 (1995), no. 2, 127--135, MathSciNet.  
  7. The Accuracy of Numerical Conformal Mapping Methods: A Survey of Examples and Results  
    Thomas K. Delillo  
    SIAM Journal on Numerical Analysis, Vol. 31, No. 3. (Jun., 1994), pp. 788-812, Jstor.  
  8. Complex Power Series-A Vector Field Visualization (in Notes)  
    Alan D. Gluchoff  
    Mathematics Magazine, Vol. 66, No. 3. (Jun., 1993), pp. 189-191, Jstor.  
  9. The Vector Field Approach in Complex Analysis  
    Braden, Bart  
    Visualization in Teaching and Learning Math., Providence, R.I., Math. Assoc. of Amer., (1991), pp. 191-196.  
  10. Bilinear Basics (in Notes)  
    T. Hoy Booker  
    Mathematics Magazine, Vol. 62, No. 4. (Oct., 1989), pp. 262-267, Jstor.  
  11. Numerical conformal mapping  
    Mastin, C. Wayne
    Comp. Meth. in App. Mech. and Eng., (1987), V. 63, pp. 209-211.
  12. Polya's Geometric Picture of Complex Contour Integrals  
    Bart Braden  
    Mathematics Magazine, Vol. 60, No. 5. (Dec., 1987), pp. 321-327, Jstor.  
  13. Plotting Streamlines and Pathlines on a Microcomputer  
    Kranc, S. C.  
    Comp. in Ed. Div. of ASEE, (1986), V. VI, No. 3, pp. 20-21.
  14. On Fornberg's Numerical Method for Conformal Mapping  
    Rudolf Wegmann  
    SIAM Journal on Numerical Analysis, Vol. 23, No. 6. (Dec., 1986), pp. 1199-1213, Jstor.  
  15. Uniform approximation as a numerical tool for constructing conformal maps. Special issue on numerical conformal mapping.
    Hartmann, M.; Opfer, G.
    J. Comput. Appl. Math. 14 (1986), no. 1-2, 193--206, MathSciNet.  
  16. Picturing Functions of a Complex Variable (in Computer Corner)  
    Bart Braden  
    The College Mathematics Journal, Vol. 16, No. 1. (Jan., 1985), pp. 63-72, Jstor.  
  17. Computer simulation of conformal mappings.
    Tozoni, O. V.
    Cybernetics 19 (1983), no. 4, 464--474 (1984); translated from Kibernetika (Kiev) 1983, , no. 4, 24--31(Russian), MathSciNet.  
  18. Geometric Transformations on a Microcomputer  
    Shilgalis, Thomas W.
    The Math. Teacher, (1982), V. 75, No. 1, pp. 16-19.
  19. Numerical Conformal Mapping  
    Sukumar Chakravarthy; Dale Anderson  
    Mathematics of Computation, Vol. 33, No. 147. (Jul., 1979), pp. 953-969, Jstor.  
  20. Applications of Conformal Mapping to Potential Theory Through Computer Graphics  
    Donald T. Piele; Morris W. Firebaugh; Robert Manulik  
    American Mathematical Monthly, Vol. 84, No. 9. (Nov., 1977), pp. 677-692, Jstor.  
  21. Computer-Drawn Field Lines and Potential Surfaces for a Wide Range of Field Configurations  
    Brandt, Siegmund and Hermann Schneider  
    Am. J. Phy., (1976),  V. 44, No. 12, pp. 1160-1171.
  22. A Numerical Comparison of Integral Equations of the First and Second Kind for Conformal Mapping  
    John K. Hayes; David K. Kahaner; Richard G. Kellner  
    Mathematics of Computation, Vol. 29, No. 130. (Apr., 1975), pp. 512-521, Jstor.  
  23. The Use of Interactive Computer Graphics in the Conformal Mapping Area  
    Bruch, John C.  
    Computers and Graphics, (1975), V. 1, pp. 361-374.  
  24. An Improved Method for Numerical Conformal Mapping  
    John K. Hayes; David K. Kahaner; Richard G. Kellner  
    Mathematics of Computation, Vol. 26, No. 118. (Apr., 1972), pp. 327-334+s1-s28, Jstor.  
  25. Teaching Complex Variables with an Interactive Computer System
    Bruch, John C. and Roger C. Wood  
    IEEE Trans. on Ed., (1972), E-15, No. 1, pp. 73-80.  

 

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(c) John H. Mathews 2003