Bibliography for the Schwarz-Christoffel transformation

unabridged

 

  1. A new approach to standard Schwarz-Christoffel formula calculations
    Costamagna, Eugenio
    Microwave and Optical Technology Letters, v 32, n 3, Feb 5 , 2002, p 196-199, EngineeringVillage.
  2. Schwarz-Christoffel mapping.
    Driscoll, Tobin A.; Trefethen, Lloyd N.
    Cambridge Monographs on Applied and Computational Mathematics, 8. Cambridge University Press, Cambridge, 2002. xvi+132 pp., MathSciNet.  
  3. Schwarz-Christoffel mapping of the annulus.
    DeLillo, T. K.; Elcrat, A. R.; Pfaltzgraff, J. A.
    SIAM Rev. 43 (2001), no. 3, 469--477, MathSciNet.  
  4. Schwarz-Christoffel analysis of cable conduits with noncontacting cover
    Van Deursen, A.P.J.
    Electronics Letters, v 37, n 13, Jun 21 , 2001, p 816-817, EngineeringVillage.
  5. Numerical inversion of the Schwarz-Christoffel conformal transformation: strip-line case studies
    Costamagna, Eugenio
    Microwave and Optical Technology Letters, v 28, n 3, Feb, 2001, p 179-183, EngineeringVillage.
  6. Potential flow in a semi-infinite channel with multiple sub-channels using the Schwarz-Christoffel transformation  
    Trevelyan P.M.J.; Elliott L.; Ingham D.B.  
    Computer Methods in Applied Mechanics and Engineering, 18 August 2000, vol. 189, no. 1, pp. 341-359(19), Ingenta.  
  7. Numerical studies on non-linear free surface flow using generalized Schwarz-Christoffel transformation.
    Chuang, J. M.
    Internat. J. Numer. Methods Fluids 32 (2000), no. 7, 745--772, MathSciNet.  
  8. Error-masking phenomena during numerical computation of Schwarz-Christoffel conformal transformations
    Costamagna, E.
    Microwave and Optical Technology Letters, v 20, n 4, Feb 20, 1999, p 223-225, EngineeringVillage.
  9. Synthesis technique for ceramic block cup capacitances using Schwarz-Christoffel transformation
    Spathis, V.M.; Gibson, A.A.P.; Davis, L.E.  
    IEEE High Frequency Postgraduate Student Colloquium, 1999, p 111-115, EngineeringVillage.
  10. Schwarz-Christoffel mapping in the computer era.
    Trefethen, Lloyd N.; Driscoll, Tobin A.
    Proceedings of the International Congress of Mathematicians, Vol. III (Berlin, 1998). Doc. Math. 1998, Extra Vol. III, 533--542, MathSciNet.
  11. Use of Schwarz - Christoffel transfer in particular electronic machine
    Li, Renfa; An, Jiyao  
    Xiangtan Daxue Ziran Kexue Xuebao, v 20, n 1, Mar, 1998, p 16-19, 52, EngineeringVillage.
  12. Algorithm 785: a software package for computing Schwarz-Christoffel conformal transformation for doubly connected polygonal regions
    Hu, Ch.
    ACM Transactions on Mathematical Software, v 24, n 3, Sep, 1998, p 317-333, EngineeringVillage.
  13. Elliptic Integrals and the Schwarz-Christoffel Transformation
    Hassenpflug W.C.
    Computers and Mathematics with Applications, June 1997, vol. 33, no. 12, pp. 15-114(100), Ingenta.   
  14. On close-to-convex-Schwarz-Christoffel mappings.
    Kaplan, W.
    Complex Variables Theory Appl. 33 (1997), no. 1-4, 137--143, MathSciNet.  
  15. Elliptic integrals and the Schwarz-Christoffel transformation.
    Hassenpflug, W. C.
    Comput. Math. Appl. 33 (1997), no. 12, 15--114, MathSciNet.  
  16. Integration formulas for the numerical calculation of the Schwarz-Christoffel conformal transformation
    Costamagna, E.
    Microwave and Optical Technology Letters, v 15, n 4, Jul, 1997, p 219-224, EngineeringVillage.
  17. Air-gap reluctance and inductance calculations for magnetic circuits using a Schwarz-Christoffel transformation
    Balakrishnan, A.; Joines, W.T.; Wilson, Th.G.
    IEEE Transactions on Power Electronics, v 12, n 4, Jul, 1997, p 654-663, EngineeringVillage.
  18. Two-dimensional boundary-conforming orthogonal grids for external and internal flows using Schwarz-Christoffel transformation
    Mansouri, S.H.; Sarvari, S.M. Hosseini; Keshavarz, A.; Rahnama, M.
    Pineridge Press Ltd, 1997, p 585, EngineeringVillage.
  19. Determination of surface and interior cracks from electrostatic measurements using Schwarz-Christoffel transformations
    Elcrat A.R.; Chenglie H.
    International Journal of Engineering Science, August 1996, vol. 34, no. 10, pp. 1165-1181(17), Ingenta.   
  20. Determination of surface and interior cracks from electrostatic measurements using Schwarz-Christoffel transformations
    Elcrat, Alan R.; Hu, Chenglie
    International Journal of Engineering Science, v 34, n 10, Aug, 1996, p 1165, EngineeringVillage.
  21. Binary Forms, Hypergeometric Functions and the Schwarz-Christoffel Mapping Formula  
    Michael A. Bean  
    Transactions of the American Mathematical Society, Vol. 347, No. 12. (Dec., 1995), pp. 4959-4983, Jstor.  
  22. Crystalline Saffman-Taylor Fingers  
    Robert Almgren  
    SIAM Journal on Applied Mathematics, Vol. 55, No. 6. (Dec., 1995), pp. 1511-1535, Jstor.  
  23. Schwarz-Christoffel mappings: symbolic computation of mapping functions for symmetric polygonal domains.
    Koepf, Wolfram
    Functional analytic methods in complex analysis and applications to partial differential equations (Trieste, 1993), 293--305, World Sci. Publishing, River Edge, NJ, 1995, MathSciNet.  
  24. Binary forms, hypergeometric functions and the Schwarz-Christoffel mapping formula.
    Bean, Michael A.
    Trans. Amer. Math. Soc. 347 (1995), no. 12, 4959--4983, MathSciNet.  
  25. Computer solution of electrostatics problems using Schwarz-Christoffel mapping technique
    Oloomi, Hossein M.; Badii, Vahid
    Computer Applications in Engineering Education, v 3, n 4, 1995, p 241-244, EngineeringVillage.
  26. Air-gap reluctance and inductance calculations for magnetic circuits using a Schwarz-Christoffel transformation
    Balakrishnan, Arun; Joines, William T.; Wilson, Thomas G.  
    PESC Record - IEEE Annual Power Electronics Specialists Conference, v 2, 1995, p 1050-1056, EngineeringVillage.
  27. Schwarz-Christoffel transformation applied to steady-state ground-coupling problems
    Krarti, Moncef; Kreider, Jan F.;  Claridge, David E.  
    Energy and Buildings, v 20, n 3, 1994, p 193-203, EngineeringVillage.
  28. On Kufarev's method for determining parameters in the Schwarz-Christoffel integral. (Russian)
    Gutlyanskiui, V. Ya.; Zaui dan, A. O.
    Dokl. Akad. Nauk 336 (1994), no. 1, 14--16; translation in Russian Acad. Sci. Dokl. Math. 49 (1994), no. 3, 445--448, MathSciNet.  
  29. Schwarz-Christoffel methods for conformal mapping of regions with a periodic boundary.
    Floryan, J. M.; Zemach, Charles
    Computational complex analysis. J. Comput. Appl. Math. 46 (1993), no. 1-2, 77--102, MathSciNet.  
  30. Convexity and the Schwarz-Christoffel mapping.
    Kaplan, Wilfred
    Michigan Math. J. 40 (1993), no. 2, 217--227, MathSciNet.  
  31. Numerical computation of Schwarz-Christoffel transformation for simply connected unbounded domain.
    Chuang, J. M.; Gui, Q. Y.; Hsiung, C. C.
    Comput. Methods Appl. Mech. Engrg. 105 (1993), no. 1, 93--109, MathSciNet.  
  32. An extended Schwarz-Christoffel transformation for numerical mapping of polygons with curved segments.
    Chaudhry, Maqsood A.
    COMPEL 11 (1992), no. 2, 277--293, MathSciNet.  
  33. 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.  
  34. On flow through porous material using a generalized Schwarz-Christoffel theory
    Owen, D.; Bhatt, B.S.
    Journal of Applied Physics, v 71, n 7, Apr 1, 1992, p 3174, EngineeringVillage.
  35. Extended schwarz-christoffel transformation for numerical mapping of polygons with curved segments
    Chaudhry, Maqsood A.
    COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, v 11, n 2, Jun, 1992, p 277-293, EngineeringVillage.
  36. Analysis of rectangular coaxial structures by numerical inversion of the Schwarz-Christoffel transformation
    Costamagna, E.; Fanni, A.  
    IEEE Transactions on Magnetics, v 28, n 2, Mar, COMPUMAG, 1992, p 1454-1457, EngineeringVillage.
  37. A modified Schwarz-Christoffel transformation for elongated regions.
    Howell, Louis H.; Trefethen, Lloyd N.
    SIAM J. Sci. Statist. Comput. 11 (1990), no. 5, 928--949, MathSciNet.  
  38. Schwarz-Christoffel digital filters
    MacCluer, C.R.
    Proc 1989 Am Control Conf, 1989, p 865-867, EngineeringVillage.
  39. Schwarz-Christoffel transformation for the simulation of two-dimensional capacitance
    Koc, C.K.; Ordung, P.F.  
    IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, v 8, n 9, Sep, 1989, p 1025-1027, EngineeringVillage.
  40. An application of the Schwarz-Christoffel formula.
    Kakehashi, Tetsujiro
    Univalent functions, fractional calculus, and their applications (Koriyama, 1988), 87--96, Ellis Horwood Ser. Math. Appl., Horwood, Chichester, 1989, MathSciNet.  
  41. A note on close-to-convex functions (an application of Schwarz-Christoffel formula).
    Kakehashi, Tetsujiro
    Research on univalent functions and some of their applications (Kyoto, 1988). Surikaisekikenkyusho Kokyuroku No. 664 (1988), 5--11, MathSciNet.  
  42. On the crowding of parameters associated with Schwarz-Christoffel transformations.
    Krikeles, Basil C.; Rubin, Richard L.
    Appl. Math. Comput. 28 (1988), no. 4, part II, 297--308, MathSciNet.  
  43. On some elementary applications of the reflection principle to Schwarz-Christoffel integrals.
    Hersch, Joseph
    Complex analysis, 101--106, Birkhäuser, Basel, 1988, MathSciNet.  
  44. Quadrature rules for singular integrals with application to Schwarz-Christoffel mappings.
    Floryan, J. M.; Zemach, Charles
    J. Comput. Phys. 75 (1988), no. 1, 15--30, MathSciNet.  
  45. The radii of convexity of order alpha of four classes of integrals of Schwarz-Christoffel type.
    Todorov, P. G.
    C. R. Acad. Bulgare Sci. 40 (1987), no. 8, 17--20, MathSciNet.  
  46. Schwarz-Christoffel mappings: a general approach.
    Floryan, J. M.; Zemach, Charles
    J. Comput. Phys. 72 (1987), no. 2, 347--371, MathSciNet.  
  47. On The Numerical Inversion Of The Schwarz-Christoffel Conformal Transformation.
    Costamagna, Eugenio
    IEEE Transactions on Microwave Theory and Techniques, v MTT-35, n 1, Jan, 1987, p 35-40, EngineeringVillage.
  48. Experimental-Analytical Method Of Calculating The Schwarz-Christoffel Integral Constants In Problems Of Modeling Integrated Microwave.
    Yashin, A. A.  
    Soviet Journal of Communications Technology & Electronics (English translation of Radiotekhnika i, v 32, n 7, Jul, 1987, p 39-45, EngineeringVillage.
  49. Univalence constraints on the Schwarz-Christoffel parameters.
    Pfaltzgraff, John A.
    SIAM J. Math. Anal. 17 (1986), no. 1, 231--235, MathSciNet.  
  50. Schwarz-Christoffel Method For Generating Two-Dimensional Flow Grids.
    Sridhar, K. P.;  Davis, R. T.
    Journal of Fluids Engineering, Transactions of the ASME, v 107, n 3, Sep, 1985, p 330-337, EngineeringVillage.
  51. Convexity radii of order alpha of three classes of integrals of Schwarz-Christoffel type.
    Todorov, P. G.
    C. R. Acad. Bulgare Sci. 37 (1984), no. 10, 1295--1298, MathSciNet.  
  52. An extension of the Schwarz-Christoffel theory with applications to two-dimensional ideal flow hydrodynamics.
    Owen, D.
    Z. Angew. Math. Mech. 64 (1984), no. 2, 91--99, MathSciNet.  
  53. A "Counterexample" for the Schwarz-Christoffel Transform (in Notes)  
    Elgin Johnston  
    American Mathematical Monthly, Vol. 90, No. 10. (Dec., 1983), pp. 701-703, Jstor.  
  54. Solution of viscous internal flows on curvilinear grids generated by the Schwarz-Christoffel transformation.
    Anderson, O. L.; Davis, R. T.; Hankins, G. B.; Edwards, D. E.
    Numerical grid generation (Nashville, Tenn., 1982). Appl. Math. Comput. 10/11 (1982), 507--524, MathSciNet.  
  55. Schwarz-Christoffel Theory Of Flow Past An Opening.
    Chen, Cheng-lung;  Su, Ming Yang  
    ASCE J Eng Mech Div, v 108, n EM2, Apr, 1982, p 399-418, EngineeringVillage.
  56. Using The Schwarz-Christoffel Transformation In Mesh Generation For The Solution Of Two-Dimensional  Problems.
    Brown, P. R.; Hayhurst, D. R.
    Computers in Mechanical Engineering, v 1, n 1, Aug, 1982, p 73-79, EngineeringVillage.
  57. A noninteractive method for the automatic generation of finite element meshes using the Schwarz-Christoffel transformation.
    Brown, P. R.
    Comput. Methods Appl. Mech. Engrg. 25 (1981), no. 1, 101--126, MathSciNet.  
  58. Computation and application of Schwarz-Christoffel transformations.
    Trefethen, Lloyd N.
    Proceedings of the 1980 Army Numerical Analysis and Computers Conference (NASA Res. Center, Moffett Field, Calif., 1980), pp. 165--171, ARO Rep. 80, 3, U. S. Army Res. Office, Research Triangle Park, N.C., 1980, MathSciNet.  
  59. Erratum: "Numerical computation of the Schwarz-Christoffel transformation".
    Trefethen, Lloyd N.
    SIAM J. Sci. Statist. Comput. 1 (1980), no. 2, 302, MathSciNet.  
  60. Numerical computation of the Schwarz-Christoffel transformation.
    Trefethen, Lloyd N.
    SIAM J. Sci. Statist. Comput. 1 (1980), no. 1, 82--102, MathSciNet.  
  61. Remarks on the Schwarz-Christoffel transformation.
    Goodman, A. W.
    E. B. Christoffel (Aachen/Monschau, 1979), pp. 253--262, Birkhäuser, Basel-Boston, Mass., 1981, MathSciNet.  
  62. Computer application of the Schwarz-Christoffel transformation.
    Trefethen, Lloyd N.
    E. B. Christoffel (Aachen/Monschau, 1979), pp. 263--274, Birkhäuser, Basel-Boston, Mass., 1981, MathSciNet.  
  63. Kufarev's method for determining the Schwarz-Christoffel parameters.
    Hopkins, T. R.; Roberts, D. E.
    Numer. Math. 33 (1979), no. 4, 353--365, MathSciNet.  
  64. Berechnung Von Magnetfeldern Mit Hilfe Der Konformen Abbildung Durch Numerische Integration Der  Abbildungsfunktion Von Schwarz-Christoffel. [Computation of Magnetic Fields with the Aid of Conformal Mapping by Numerical Integration of the Schwarz-Christoffel Mapping Function ].
    Reppe, K.
    Siemens Forschungs- und Entwicklungsberichte/Siemens Research and Development Reports, v 8, n 4, 1979, p 190-195, EngineeringVillage.  
  65. Calculation Of Tooth-Pitch Flux And Flux Density Distributions In Comm-Zone Of A Dc Machine Using Schwarz-Christoffel Transformation.
    Das, S.
    Journal of the Institution of Engineers (India), Part EL: Electrical Engineering Division, v 59, n pt EL3, Dec, 1978, p 121-127, EngineeringVillage.
  66. Computer Implementation of the Schwarz-Christoffel Transformation  
    Squire, William
    J. of the Franklin Inst., (1975, V. 299, No. 5, pp. 315-322.
  67. A simplification of the Schwarz-Christoffel formula for symmetric quadrilateral transformation.
    Hughes, O. F.
    SIAM J. Math. Anal. 6 (1975), 258--261, MathSciNet.  
  68. Schwarz Christoffel Transformation Applied To Stability Problems.
    Bose, N. K.;  Jury, E. I.
    Metallurgia Italiana, 1974, p 148-152, EngineeringVillage.
  69. Maximal univalent mappings with bounded rotation that are realized by the class of integrals of Schwarz-Christoffel type. (Bulgarian)
    Todorov, P.
    Plovdiv. Univ. Nau\v cn. Trud. 12 (1974), no. 1, 49--58, MathSciNet.  
  70. Maximal univalent mappings with bounded rotation that can be realized by a class of integrals of Schwarz-Christoffel type. (Russian)
    Todorov, P. G.
    Mathematica (Cluj) 15(38) (1973), 307--329, MathSciNet.  
  71. Note on the inversion of the Schwarz-Christoffel conformal transformation.
    Lewin, Leonard
    IEEE Trans. Microwave Theory Tech. 19 (1971), 542--546, MathSciNet.  
  72. Schwarz-Christoffel integrals. (Czech)  
    Netuka, Ivan
    Casopis Puest. Mat. 96 (1971), 164--182, MathSciNet.  
  73. A Procedure for Conformal Maps of Simply Connected Domains by Using the Bergman Function  
    J. Burbea  
    Mathematics of Computation, Vol. 24, No. 112. (Oct., 1970), pp. 821-829, Jstor.  
  74. Evaluation of the Schwarz-Christoffel Mapping Function for Special Polygons  
    S. C. Sanday  
    SIAM Journal on Applied Mathematics, Vol. 18, No. 4. (Jun., 1970), pp. 815-817, Jstor.  
  75. Ideal transmission functions as Schwarz-Christoffel transformations.
    Sablatash, M.
    IEEE Trans. Circuit Theory CT-16 1969 550--553, MathSciNet.  
  76. Flow of Current in a Cross Connected M.H.D. Generator with Four Electrodes (in M.H.D. Plant, Combustion Techniques and Seeding)  
    N. G. Nemkova; G. R. Alavidze  
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 261, No. 1123, A Discussion on Advanced Methods of Energy Conversion-Magnetohydrodynamic Power Generation. (Jul. 6, 1967), pp. 455-460, Jstor.  
  77. Contributions to the study of Green's functions. II.
    Mangeron, D.; Mateescu, Lil.; Sestopal, A. F.
    Problem of the uniqueness of the inversion of the Schwarz-Christoffel integral for simply connected rectilinear polygons. (Romanian) Stud. Cerc. Mat. 17 1965 215--226, MathSciNet.  
  78. Contribution to the problem of the application of Green's function. II.
    Mandzeron, D.; Mateesku, Liliana; Sestopal, A. F.
    The case of a singlevalued inversion of the Schwarz-Christoffel integral for simply connected rectilinear polygons. (Russian)
    Rev. Roumaine Math. Pures Appl. 10 1965 133--143, MathSciNet.  
  79. Calculation of the Schwarz-Christoffel constants for an arbitrary simply connected quadrilateral. (Ukrainian)
    Savenkov, V. M.
    Dopovidi Akad. Nauk Ukraïn. RSR 1964 1964 574--576, MathSciNet.  
  80. The Schwarz-Christoffel transformation and its applications. A simple exposition.
    Walker, Miles
    Dover Publications, Inc., New York 1964 v+116 pp., MathSciNet.  
  81. On the convergence of iteration processes for determining the constant of the Schwarz-Christoffel integral. (Russian)
    Savenkov, V. N.
    Ukrain. Mat. \v Z. 15 1963 321--327, MathSciNet.  
  82. Some generalizations of the Schwarz-Christoffel mapping formula.
    Woods, L. C.
    Appl. Sci. Res. B. 7 1958 89--101, MathSciNet.  
  83. On the Schwarz-Christoffel Transformation and p-Valent Functions  
    A. W. Goodman  
    Transactions of the American Mathematical Society, Vol. 68, No. 2. (Mar., 1950), pp. 204-223, Jstor.  
  84. A Generalization of the Schwarz-Christoffel Transformation  
    D. Gilbarg  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 35, No. 10. (Oct. 15, 1949), pp. 609-612, Jstor.  
  85. On a method of numerical determination of the parameters in the Schwarz-Christoffel integral. (Russian)
    Kufarev, P. P.
    Doklady Akad. Nauk SSSR (N. S.) 57, (1947). 535--537, MathSciNet.  

 

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