Bibliography for Conformal Mapping

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  1. A method of numerical conformal mapping of curved slit domains by the charge simulation method
    Okano D.; Ogata H.; Amano K.
    Journal of Computational and Applied Mathematics, 1 March 2003, vol. 152, no. 1, pp. 441-450(10), Ingenta.  
  2. Conformal Metrics and Size of the Boundary
    Mario Bonk; Pekka Koskela
    American Journal of Mathematics, Vol. 124, No. 6. (Dec., 2002), pp. 1247-1287, Jstor.  
  3. Electrostatic imaging via conformal mapping
    Akduman I.; Kress R.
    Inverse Problems, 2002, vol. 18, no. 6, pp. 1659-1672(14), Ingenta.  
  4. Acoustic Response Of A Non-Circular Cylindrical Enclosure Using Conformal Mapping
    Thamburaj P.; Sun J.Q.
    Journal of Sound and Vibration, March 2001, vol. 241, no. 2, pp. 283-295(13), Ingenta.  
  5. Note on a paper by Sinha and Odgaard ``Application of conformal mapping to diverging open channel flow''
    Kacimov A.R.
    Journal of Engineering Mathematics, May 2000, vol. 37, no. 4, pp. 397-400(4), Ingenta.  
  6. Green's functions for multiply connected domains via conformal mapping.
    Embree, Mark; Trefethen, Lloyd N.
    SIAM Rev. 41 (1999), no. 4, 745--761, MathSciNet.  
  7. Numerical conformal mapping using cross-ratios and Delaunay triangulation.
    Driscoll, Tobin A.; Vavasis, Stephen A.
    SIAM J. Sci. Comput. 19 (1998), no. 6, 1783--1803, MathSciNet.  
  8. Mapping drug distribution patterns in solid tumors: Toward conformal chemotherapy for local tumor control
    Kanekal S.; Sahai A.; Kim H.M.; Jones R.E.; Brown D.
    European Journal of Cancer, September 1997, vol. 33, no. 1008, pp. 179-180(2), Ingenta.  
  9. A Deformation of Flat Conformal Structures  
    Hiroyasu Izeki  
    Transactions of the American Mathematical Society, Vol. 348, No. 12. (Dec., 1996), pp. 4939-4964, Jstor.  
  10. Computational conformal mapping for surface grid generation.
    Khamayseh, Ahmed; Mastin, C. Wayne
    J. Comput. Phys. 123 (1996), no. 2, 394--401, MathSciNet.  
  11. Handbook of conformal mapping with computer-aided visualization. With 1 IBM-PC floppy disk (5.25 inch; HD).
    Ivanov, V. I.; Trubetskov, M. K.
    CRC Press, Boca Raton, FL, 1995. vi+360 pp., MathSciNet.  
  12. 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.  
  13. Upper Bound for Distortion of Capacity Under Conformal Mapping  
    Robert E. Thurman  
    Transactions of the American Mathematical Society, Vol. 346, No. 2. (Dec., 1994), pp. 605-616, Jstor.  
  14. An Inverse Problem for Circle Packing and Conformal Mapping  
    Ithiel Carter; Burt Rodin  
    Transactions of the American Mathematical Society, Vol. 334, No. 2. (Dec., 1992), pp. 861-875, Jstor.  
  15. Numerical computation of the Schwarz-Christoffel transformation parameters for conformal mapping of arbitrarily shaped polygons with finite vertices.
    Chaudhry, Maqsood A.; Schinzinger, Roland
    COMPEL 11 (1992), no. 2, 263--275, MathSciNet.  
  16. Cavitational Flows and Global Injectivity of Conformal Maps  
    Massimo Lanza de Cristoforis  
    Transactions of the American Mathematical Society, Vol. 323, No. 2. (Feb., 1991), pp. 509-527, Jstor.  
  17. Conformal image warping  
    Frederick, Carl; Eric L. Schwartz  
    IEEE Computer Graphics and Applications, (1990), V. 10, pp. 54-61.  
  18. An Identity Arising in a Problem of Conformal Mapping (in Classroom Notes)  
    S. Richardson  
    SIAM Review, Vol. 31, No. 3. (Sep., 1989), pp. 484-485, Jstor.  
  19. Finite-Element Methods for Conformal Mappings  
    Joachim A. Nitsche  
    SIAM Journal on Numerical Analysis, Vol. 26, No. 6. (Dec., 1989), pp. 1525-1533, Jstor.  
  20. Polynomials by Conformal Mapping for the Richardson Iteration Method for Complex Linear Systems  
    Lothar Reichel  
    SIAM Journal on Numerical Analysis, Vol. 25, No. 6. (Dec., 1988), pp. 1359-1368, Jstor.  
  21. Curvature, Circles, and Conformal Maps (in Notes)  
    Alan F. Beardon  
    American Mathematical Monthly, Vol. 94, No. 1. (Jan., 1987), pp. 48-53, Jstor.  
  22. 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.  
  23. An Efficient Implementation of a Conformal Mapping Method Based on the Szego Kernel  
    Manfred R. Trummer  
    SIAM Journal on Numerical Analysis, Vol. 23, No. 4. (Aug., 1986), pp. 853-872, Jstor.  
  24. A Note on Integral Means of the Derivative in Conformal Mapping  
    N. G. Makarov  
    Proceedings of the American Mathematical Society, Vol. 96, No. 2. (Feb., 1986), pp. 233-236, Jstor.  
  25. Conformal Mapping of Regions Bounded by Curvilinear Polygons  
    Burton Rodin  
    Proceedings of the American Mathematical Society, Vol. 94, No. 2. (Jun., 1985), pp. 297-300, Jstor.  
  26. Mapping Theorems in Complex Analysis (in Progress Reports)  
    John P. D'Angelo  
    American Mathematical Monthly, Vol. 91, No. 7. (Aug. - Sep., 1984), pp. 413-414, Jstor.  
  27. Length of Ray-Images Under Conformal Maps  
    V. Karunakaran  
    Proceedings of the American Mathematical Society, Vol. 87, No. 2. (Feb., 1983), pp. 289-294, Jstor.  
  28. Comment on: "Potential flow analysis of multielement airfoils using conformal mapping" [AIAA J. 17 (1979), no. 12, 1281--1288] by N. D. Halsey.
    Laura, Patricio A. A.
    AIAA J. 19 (1981), no. 6, 830, MathSciNet.  
  29. Numerical Conformal Mapping  
    Sukumar Chakravarthy; Dale Anderson  
    Mathematics of Computation, Vol. 33, No. 147. (Jul., 1979), pp. 953-969, Jstor.  
  30. Conformal Automorphisms of Circular Regions (in Mathematical Notes)  
    C. David Minda  
    American Mathematical Monthly, Vol. 86, No. 8. (Oct., 1979), pp. 684-686, Jstor.  
  31. Conformality and Semiconformality of a Function Holomorphic in the Disk  
    Shinji Yamashita  
    Transactions of the American Mathematical Society, Vol. 245. (Nov., 1978), pp. 119-138, Jstor.  
  32. 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.  
  33. An Elementary Approach to the Problem of Extending Conformal Maps to the Boundary (in Classroom Notes)  
    W. P. Novinger  
    American Mathematical Monthly, Vol. 82, No. 3. (Mar., 1975), pp. 279-282, Jstor.  
  34. 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.  
  35. The Use of Interactive Computer Graphics in the Conformal Mapping Area  
    Bruch, John C.  
    Computers and Graphics, (1975), V. 1, pp. 361-374.
  36. A Note on Conformality (in Classroom Notes)  
    R. K. Williams  
    American Mathematical Monthly, Vol. 80, No. 3. (Mar., 1973), pp. 299-300, Jstor.  
  37. 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.  
  38. 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.
  39. Problem 70-5, Conformal Mapping of a Cross Slit Strip (in Problems)  
    B. J. Cerimele  
    SIAM Review, Vol. 12, No. 1. (Jan., 1970), p. 145, Jstor.  
  40. A Uniqueness Result in Conformal Mapping  
    James A. Jenkins  
    Proceedings of the American Mathematical Society, Vol. 22, No. 2. (Aug., 1969), pp. 324-325, Jstor.  
  41. A Procedure for Conformal Mapping of Triply-Connected Domains  
    Stefan Bergman; Bruce Chalmers  
    Mathematics of Computation, Vol. 21, No. 100. (Oct., 1967), pp. 527-542, Jstor.  
  42. Conformal Linear Transformations  
    Ali R. Amir-Moez  
    Mathematics Magazine, Vol. 40, No. 5. (Nov., 1967), pp. 268-270, Jstor.  
  43. Conformal Transformation Charts Used by Electrical Engineers  
    H. F. Mathis  
    Mathematics Magazine, Vol. 36, No. 1. (Jan., 1963), pp. 25-30, Jstor.  
  44. Algebraic Structure and Conformal Mapping  
    Maurice Heins  
    Transactions of the American Mathematical Society, Vol. 89, No. 1. (Sep., 1958), pp. 267-276, Jstor.  
  45. On Integrating Factors and On Conformal Mappings  
    Philip Hartman  
    Transactions of the American Mathematical Society, Vol. 87, No. 2. (Mar., 1958), pp. 387-406, Jstor.  
  46. On a Canonical Conformal Mapping of J. L. Walsh  
    James A. Jenkins  
    Transactions of the American Mathematical Society, Vol. 88, No. 1. (May, 1958), pp. 207-213, Jstor.  
  47. On the Conformal Mapping of Nearly-Circular Domains  
    Zeev Nehari; Vikramaditya Singh  
    Proceedings of the American Mathematical Society, Vol. 7, No. 3. (Jun., 1956), pp. 370-378, Jstor.  
  48. On the Conformal Mapping of Multiply Connected Regions  
    J. L. Walsh  
    Transactions of the American Mathematical Society, Vol. 82, No. 1. (May, 1956), pp. 128-146, Jstor.  
  49. Recent Advances at Stanford in the Application of Conformal Mapping to Hydrodynamics  
    P. R. Garabedian; Edward McLeod, Jr.; Martin Vitousek  
    American Mathematical Monthly, Vol. 61, No. 7, Part 2: Proceedings of the Symposium on Special Topics in Applied Mathematics. (Aug. - Sep., 1954), pp. 8-10, Jstor.  
  50. Studies in the Conformal Mapping of Riemann Surfaces. II  
    Maurice Heins  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 40, No. 5. (May 15, 1954), pp. 302-305, Jstor.  
  51. Another Remark on "Some Problems in Conformal Mapping"  
    James A. Jenkins  
    Proceedings of the American Mathematical Society, Vol. 4, No. 6. (Dec., 1953), pp. 978-981, Jstor.  
  52. Studies in the Conformal Mapping of Riemann Surfaces, I  
    Maurice Heins  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 39, No. 4. (Apr. 15, 1953), pp. 322-324, Jstor.  
  53. Deduction of Cardano's Formula by Conformal Mapping (in Mathematical Notes)  
    C. F. Moppert  
    American Mathematical Monthly, Vol. 59, No. 5. (May, 1952), pp. 310-314, Jstor.  
  54. Remarks on "Some Problems in Conformal Mapping"  
    James A. Jenkins  
    Proceedings of the American Mathematical Society, Vol. 3, No. 1. (Feb., 1952), pp. 147-151, Jstor.  
  55. On Conformal Mapping of Regions Bounded by Smooth Curves  
    S. E. Warschawski  
    Proceedings of the American Mathematical Society, Vol. 2, No. 2. (Apr., 1951), pp. 254-261, Jstor.  
  56. Conformal Mapping of the Interior of an Ellipse onto a Circle (in Mathematical Notes)  
    Gabor Szego  
    American Mathematical Monthly, Vol. 57, No. 7. (Aug. - Sep., 1950), pp. 474-478, Jstor.  
  57. Conformal Mapping of Open Riemann Surfaces  
    Zeev Nehari  
    Transactions of the American Mathematical Society, Vol. 68, No. 2. (Mar., 1950), pp. 258-277, Jstor.  
  58. The Conformal Mapping of Simply-Connected Riemann Surfaces  
    Maurice Heins  
    The Annals of Mathematics, 2nd Ser., Vol. 50, No. 3. (Jul., 1949), pp. 686-690, Jstor.  
  59. Conformal Mapping and Convergence of a Power Series  
    Arne Broman  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 34, No. 12. (Dec. 15, 1948), pp. 605-610, Jstor.  
  60. Identities in the Theory of Conformal Mapping  
    P. R. Garabedian; M. Schiffer  
    Transactions of the American Mathematical Society, Vol. 65, No. 2. (Mar., 1949), pp. 187-238, Jstor.  
  61. Conformal Maps with Isothermal Systems of Scale Curves  
    John De Cicco  
    American Journal of Mathematics, Vol. 68, No. 1. (Jan., 1946), pp. 137-146, Jstor.  
  62. Geometry of Scale Curves in Conformal Maps  
    Edward Kasner; John DeCicco  
    American Journal of Mathematics, Vol. 67, No. 1. (Jan., 1945), pp. 157-166, Jstor.  
  63. Scale Curves in Conformal Maps  
    Edward Kasner; John De Cicco  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 30, No. 7. (Jul. 15, 1944), pp. 162-164, Jstor.  
  64. On Mr. L. Kantorovitch's method in the theory of conformal mapping and on the application of that method to aerodynamics. (Spanish)  
    Rosenblatt, Alfred
    Actas Acad. Ci. Lima  6,  (1943). 199--219, MathSciNet.  
  65. General Comparison of Conformal and Equilong Geometries  
    John De Cicco  
    National Mathematics Magazine, Vol. 16, No. 6. (Mar., 1942), pp. 275-279, Jstor.  
  66. Regions and Their "Patterns" in Conformal Mapping  
    Hugh J. Miser  
    National Mathematics Magazine, Vol. 16, No. 7. (Apr., 1942), pp. 333-337, Jstor.  
  67. On Conformal Mapping of Infinite Strips  
    S. E. Warschawski  
    Transactions of the American Mathematical Society, Vol. 51, No. 2. (Mar., 1942), pp. 280-335, Jstor.  
  68. Conformality in Connection with Functions of Two Complex Variables  
    Edward Kasner  
    Transactions of the American Mathematical Society, Vol. 48, No. 1. (Jul., 1940), pp. 50-62, Jstor.  
  69. On the Use of Conformal Mapping in Shaping Wing Profiles  
    R. S. Burington  
    American Mathematical Monthly, Vol. 47, No. 6. (Jun. - Jul., 1940), pp. 362-373, Jstor.  
  70. On the Circles of Curvature of the Images of Circles under a Conformal Map  
    J. L. Walsh  
    American Mathematical Monthly, Vol. 46, No. 8. (Oct., 1939), pp. 472-485, Jstor.  
  71. Conformal Transformation with the Aid of an Electrical Tank  
    K. N. E. Bradfield; S. G. Hooker; R. V. Southwell  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 159, No. 898. (Apr. 1, 1937), pp. 315-346, Jstor.  
  72. Some Applications of Conformal Transformation to Problems in Hydrodynamics  
    J. G. Leathem  
    Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character, Vol. 215. (1915), pp. 439-487, Jstor.  

 

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