

Bibliography for the
Schwarz-Christoffel transformation
unabridged
- 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.
- 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.
- Schwarz-Christoffel mapping of the annulus.
DeLillo, T. K.; Elcrat, A. R.; Pfaltzgraff, J. A.
SIAM Rev. 43 (2001), no. 3, 469--477, MathSciNet.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- On close-to-convex-Schwarz-Christoffel mappings.
Kaplan, W.
Complex Variables Theory Appl. 33 (1997), no. 1-4, 137--143,
MathSciNet.
- Elliptic integrals and the Schwarz-Christoffel
transformation.
Hassenpflug, W. C.
Comput. Math. Appl. 33 (1997), no. 12, 15--114,
MathSciNet.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Crystalline
Saffman-Taylor Fingers
Robert Almgren
SIAM Journal on Applied Mathematics, Vol. 55, No. 6. (Dec., 1995),
pp. 1511-1535, Jstor.
- 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.
- Binary forms, hypergeometric functions and the
Schwarz-Christoffel mapping formula.
Bean, Michael A.
Trans. Amer. Math. Soc. 347 (1995), no. 12, 4959--4983,
MathSciNet.
- 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.
- 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.
- 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.
- 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.
- 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.
- Convexity and the Schwarz-Christoffel mapping.
Kaplan, Wilfred
Michigan Math. J. 40 (1993), no. 2, 217--227,
MathSciNet.
- 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.
- An extended Schwarz-Christoffel transformation for numerical
mapping of polygons with curved segments.
Chaudhry, Maqsood A.
COMPEL 11 (1992), no. 2, 277--293, MathSciNet.
- 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.
- 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.
- 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.
- 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.
- 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.
- Schwarz-Christoffel digital filters
MacCluer, C.R.
Proc 1989 Am Control Conf, 1989, p 865-867,
EngineeringVillage.
- 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.
- 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.
- 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.
- 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.
- On some elementary applications of the reflection principle to
Schwarz-Christoffel integrals.
Hersch, Joseph
Complex analysis, 101--106, Birkhäuser, Basel, 1988,
MathSciNet.
- 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.
- 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.
- Schwarz-Christoffel mappings: a general approach.
Floryan, J. M.; Zemach, Charles
J. Comput. Phys. 72 (1987), no. 2, 347--371,
MathSciNet.
- 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.
- 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.
- Univalence constraints on the Schwarz-Christoffel
parameters.
Pfaltzgraff, John A.
SIAM J. Math. Anal. 17 (1986), no. 1, 231--235,
MathSciNet.
- 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.
- 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.
- 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.
- A
"Counterexample" for the Schwarz-Christoffel Transform (in
Notes)
Elgin Johnston
American Mathematical Monthly, Vol. 90, No. 10. (Dec., 1983), pp.
701-703, Jstor.
- 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.
- 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.
- 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.
- 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.
- 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.
- Erratum: "Numerical computation of the Schwarz-Christoffel
transformation".
Trefethen, Lloyd N.
SIAM J. Sci. Statist. Comput. 1 (1980), no. 2, 302,
MathSciNet.
- Numerical computation of the Schwarz-Christoffel
transformation.
Trefethen, Lloyd N.
SIAM J. Sci. Statist. Comput. 1 (1980), no. 1, 82--102,
MathSciNet.
- Remarks on the Schwarz-Christoffel transformation.
Goodman, A. W.
E. B. Christoffel (Aachen/Monschau, 1979), pp. 253--262,
Birkhäuser, Basel-Boston, Mass., 1981,
MathSciNet.
- 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.
- Kufarev's method for determining the Schwarz-Christoffel
parameters.
Hopkins, T. R.; Roberts, D. E.
Numer. Math. 33 (1979), no. 4, 353--365,
MathSciNet.
- 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.
- 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.
- Computer Implementation of the Schwarz-Christoffel
Transformation
Squire, William
J. of the Franklin Inst., (1975, V. 299, No. 5, pp. 315-322.
- A simplification of the Schwarz-Christoffel formula for
symmetric quadrilateral transformation.
Hughes, O. F.
SIAM J. Math. Anal. 6 (1975), 258--261,
MathSciNet.
- Schwarz Christoffel Transformation Applied To Stability
Problems.
Bose, N. K.; Jury, E. I.
Metallurgia Italiana, 1974, p 148-152, EngineeringVillage.
- 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.
- 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.
- Note on the inversion of the Schwarz-Christoffel conformal
transformation.
Lewin, Leonard
IEEE Trans. Microwave Theory Tech. 19 (1971), 542--546,
MathSciNet.
- Schwarz-Christoffel integrals. (Czech)
Netuka, Ivan
Casopis Puest. Mat. 96 (1971), 164--182,
MathSciNet.
- 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.
- 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.
- Ideal transmission functions as Schwarz-Christoffel
transformations.
Sablatash, M.
IEEE Trans. Circuit Theory CT-16 1969 550--553,
MathSciNet.
- 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.
- 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.
- 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.
- 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.
- The Schwarz-Christoffel transformation and its applications. A
simple exposition.
Walker, Miles
Dover Publications, Inc., New York 1964 v+116 pp.,
MathSciNet.
- 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.
- Some generalizations of the Schwarz-Christoffel mapping
formula.
Woods, L. C.
Appl. Sci. Res. B. 7 1958 89--101, MathSciNet.
- 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.
- 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.
- 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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