Elliptic integrals and the Schwarz-Christoffel transformation

DOI10.1016/S0898-1221(97)00091-6zbMath0887.65020MaRDI QIDQ1368476

W. C. Hassenpflug

Publication date: 27 April 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

conformal mappingsnumerical computationelliptic integralsseries expansionsSchwarz-Christoffel transformation

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Elliptic functions and integrals (33E05) Schwarz-Christoffel-type mappings (30C30)

Related Items

DETERMINING PARAMETERS OF CONFORMAL MAPPINGS FROM THE UPPER HALF-PLANE ONTO STRAIGHT-LINE PERIODIC POLYGONS WITH DOUBLE SYMMETRY AND ONTO CIRCULAR PERIODIC POLYGONS ⋮ Torsion of uniform bars with polygon cross-section ⋮ Unnamed Item ⋮ Conformal mapping onto numerable polygon with double symmetry ⋮ Free-streamlines ⋮ Branched channel free-streamlines ⋮ Potential flow in a semi-infinite channel with multiple sub-channels using the Schwarz-Christoffel transformation

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• SCPACK

Cites Work

• Conformal-mapping-based coordinate generation method for channel flows
• Conformal-mapping-based coordinate generation method for flows in periodic configurations
• Efficient evaluation of incomplete elliptic integrals and functions
• Computer implementation of the Schwarz-Christoffel transformation
• Convolution number
• Numerical computation of Schwarz-Christoffel transformation for simply connected unbounded domain
• Numerical calculation of elliptic integrals and elliptic functions.II
• Numerical calculation of elliptic integrals and elliptic functions
• Formeln und Tabellen für ein in der räumlichen Potentialtheorie auftretendes elliptisches Integral
• A Modified Schwarz–Christoffel Transformation for Elongated Regions
• Matrix Analysis
• Numerical Computation of the Schwarz–Christoffel Transformation
• NUMERICAL COMPUTATION OF THE SCHWARZ‐CHRISTOFFEL TRANSFORMATION PARAMETERS FOR CONFORMAL MAPPING OF ARBITRARILY SHAPED POLYGONS WITH FINITE VERTICES
• Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
• Konstruktive Methoden der konformen Abbildung
• The Application of Numerical Methods to the Conformal Transformation of Polygonal Boundaries
• Generating Functions for Bessel and Related Polynomials
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