Bibliography for the Schwarz-Christoffel transformation

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  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 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.
  3. 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.  
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.  
  11. Crystalline Saffman-Taylor Fingers  
    Robert Almgren  
    SIAM Journal on Applied Mathematics, Vol. 55, No. 6. (Dec., 1995), pp. 1511-1535, Jstor.  
  12. 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.
  13. 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.
  14. 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.  
  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. 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.
  17. 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.  
  18. 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.
  19. 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.  
  20. Schwarz-Christoffel mappings: a general approach.
    Floryan, J. M.; Zemach, Charles
    J. Comput. Phys. 72 (1987), no. 2, 347--371, MathSciNet.  
  21. Univalence constraints on the Schwarz-Christoffel parameters.
    Pfaltzgraff, John A.
    SIAM J. Math. Anal. 17 (1986), no. 1, 231--235, MathSciNet.  
  22. 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.
  23. 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.  
  24. A "Counterexample" for the Schwarz-Christoffel Transform (in Notes)  
    Elgin Johnston  
    American Mathematical Monthly, Vol. 90, No. 10. (Dec., 1983), pp. 701-703, Jstor.  
  25. 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.
  26. 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.  
  27. 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.  
  28. 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.  
  29. 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.
  30. Computer Implementation of the Schwarz-Christoffel Transformation  
    Squire, William
    J. of the Franklin Inst., (1975, V. 299, No. 5, pp. 315-322.
  31. Schwarz Christoffel Transformation Applied To Stability Problems.
    Bose, N. K.;  Jury, E. I.
    Metallurgia Italiana, 1974, p 148-152, EngineeringVillage.
  32. 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.  
  33. Note on the inversion of the Schwarz-Christoffel conformal transformation.
    Lewin, Leonard
    IEEE Trans. Microwave Theory Tech. 19 (1971), 542--546, MathSciNet.  
  34. 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.  
  35. 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.  
  36. Ideal transmission functions as Schwarz-Christoffel transformations.
    Sablatash, M.
    IEEE Trans. Circuit Theory CT-16 1969 550--553, MathSciNet.  
  37. 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.  
  38. The Schwarz-Christoffel transformation and its applications. A simple exposition.
    Walker, Miles
    Dover Publications, Inc., New York 1964 v+116 pp., MathSciNet.  
  39. Some generalizations of the Schwarz-Christoffel mapping formula.
    Woods, L. C.
    Appl. Sci. Res. B. 7 1958 89--101, MathSciNet.  
  40. 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.  
  41. 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.  

 

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