SKPrime: A MATLAB implementation of the Schottky-Klein prime function. The authors present a numerical algorithm for the computation of the Schotty-Klein prime function on the Schottky double of multiply connected circular domains in the plane. This algorithm facilitates the evaluation of this prime function when the planar domains are such that the classical infinite product representation is either not convergent or so slowly convergent as to be impracticable

References in zbMATH (referenced in 23 articles , 1 standard article )

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  1. Zemlyanova, Anna; Manly, Ian; Handley, Demond: Vortex generated fluid flows in multiply connected domains (2018)
  2. Crowdy, Darren: Finite gap Jacobi matrices and the Schottky-Klein prime function (2017)
  3. Esler, J. G.: Statistics of point vortex turbulence in non-neutral flows and in flows with translational and rotational symmetries (2017)
  4. Brezhnev, Yurii V.: The sixth Painlevé transcendent and uniformization of algebraic curves (2016)
  5. Marshall, J.S.: Analytical solutions for an escape problem in a disc with an arbitrary distribution of exit holes along its boundary (2016)
  6. Boatto, Stefanella; Koiller, Jair: Vortices on closed surfaces (2015)
  7. Nasser, Mohamed M.S.: Fast computation of the circular map (2015)
  8. Nasser, Mohamed M.S.; Sakajo, Takashi; Murid, Ali H.M.; Wei, Lee Khiy: A fast computational method for potential flows in multiply connected coastal domains (2015)
  9. Crowdy, Darren G.: Vortex patch equilibria of the Euler equation and random normal matrices (2014)
  10. Marshall, Jonathan S.: On the construction of multiply connected arc integral quadrature domains (2014)
  11. Aoyama, Naoki; Sakajo, Takashi; Tanaka, Hidehiro: A computational theory for spiral point vortices in multiply connected domains with slit boundaries (2013)
  12. Delillo, Thomas K.; Elcrat, Alan R.; Kropf, Everett H.; Pfaltzgraff, John A.: Efficient calculation of Schwarz-Christoffel transformations for multiply connected domains using Laurent series (2013)
  13. Crowdy, Darren G.; Fokas, Athanassios S.; Green, Christopher C.: Conformal mappings to multiply connected polycircular arc domains (2011)
  14. Crowdy, Darren; Marshall, Jonathan S.: Uniformizing real hyperelliptic $M$-curves using the Schottky-Klein prime function (2011)
  15. Delillo, Thomas K.; Elcrat, Alan R.; Kropf, Everett H.: Calculation of resistances for multiply connected domains using Schwarz-Christoffel transformations (2011)
  16. Sakajo, Takashi; Amaya, Yosuke: Numerical construction of potential flows in multiply connected channel domains (2011)
  17. Sangawi, Ali W.K.; Murid, Ali H.M.; Nasser, M.M.S.: Linear integral equations for conformal mapping of bounded multiply connected regions onto a disk with circular slits (2011)
  18. Crowdy, Darren: A new calculus for two-dimensional vortex dynamics (2010)
  19. Crowdy, Darren: The Schottky-Klein prime function on the Schottky double of planar domains (2010)
  20. Crowdy, Darren: Explicit solution for the potential flow due to an assembly of stirrers in an inviscid fluid (2008)

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