Darren Crowdy

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All published works

Action	Title	Year	Authors
+ PDF Chat	Generalization of waving‐plate theory to multiple interacting swimmers	2023	Peter J. Baddoo Nicholas J. Moore Anand U. Oza Darren Crowdy
+	Exact solutions for submerged von Kármán point vortex streets cotravelling with a wave on a linear shear current	2023	Jack S. Keeler Darren Crowdy
+ PDF Chat	Harmonic-measure distribution functions for a class of multiply connected symmetrical slit domains	2022	Christopher C. Green Marie A. Snipes Lesley A. Ward Darren Crowdy
+ PDF Chat	Zeros of the isomonodromic tau functions in constructive conformal mapping of polycircular arc domains: the n-vertex case	2021	Bruno Carneiro da Cunha Salman Abarghouei Nejad Tiago Anselmo Rhodri Nelson Darren Crowdy
+ PDF Chat	A new approach to the complex Helmholtz equation with applications to diffusion wave fields, impedance spectroscopy and unsteady Stokes flow	2021	Jordan C. Hauge Darren Crowdy
+ PDF Chat	Liouville chains: new hybrid vortex equilibria of the two-dimensional Euler equation	2021	Vikas S. Krishnamurthy Miles H. Wheeler Darren Crowdy Adrian Constantin
+	Liouville chains: new hybrid vortex equilibria of the 2D Euler equation	2021	Darren Crowdy Krishnamurthy Adrian Constantin Miles H. Wheeler
+	Generalization of waving-plate theory to multiple interacting swimmers	2021	Peter J. Baddoo Nicholas J. Moore Anand U. Oza Darren Crowdy
+ PDF Chat	Schwarz–Christoffel accessory parameter for quadrilaterals via isomonodromy	2020	Tiago Anselmo Bruno Carneiro da Cunha Rhodri Nelson Darren Crowdy
+	Chapter 8: Loxodromic functions	2020	Darren Crowdy
+	Chapter 7: Schwarz–Christoffel mappings	2020	Darren Crowdy
+	Chapter 13: Schwarz problems in multiply connected domains	2020	Darren Crowdy
+	Chapter 9: Automorphic functions	2020	Darren Crowdy
+	Chapter 4: What is the prime function?	2020	Darren Crowdy
+	Exact Solutions for Flows in Periodic Domains	2019	Peter J. Baddoo Darren Crowdy
+ PDF Chat	Analytical solutions for two-dimensional singly periodic Stokes flow singularity arrays near walls	2019	Darren Crowdy Elena Luca
+ PDF Chat	Periodic Schwarz–Christoffel mappings with multiple boundaries per period	2019	Peter J. Baddoo Darren Crowdy
+ PDF Chat	Steady point vortex pair in a field of Stuart-type vorticity	2019	Vikas S. Krishnamurthy Miles H. Wheeler Darren Crowdy Adrian Constantin
+	Analytical solutions for two-dimensional singly periodic Stokes flow singularity arrays near walls	2019	Darren Crowdy Elena Luca
+ PDF Chat	Accessory parameters in conformal mapping: exploiting the isomonodromic tau function for Painlevé VI	2018	Tiago Anselmo Rhodri Nelson Bruno Carneiro da Cunha Darren Crowdy
+ PDF Chat	Finite Gap Jacobi Matrices and the Schottky–Klein Prime Function	2016	Darren Crowdy
+	A constructive method for plane-wave representations of special functions	2015	Darren Crowdy
+ PDF Chat	Hybrid basis scheme for computing electrostatic fields exterior to close-to-touching discs	2015	Darren Crowdy S. Tanveer Thomas K. DeLillo
+ PDF Chat	Secondary Schottky–Klein prime functions associated with multiply connected planar domains	2014	Giovani L. Vasconcelos J. S. Marshall Darren Crowdy
+ PDF Chat	Solving Wiener–Hopf problems without kernel factorization	2014	Darren Crowdy Elena Luca
+	Vortex patch equilibria of the Euler equation and random normal matrices	2014	Darren Crowdy
+	Hybrid Basis Scheme for computing Electrostatic fields exterior to close-to-touching discs	2014	Darren Crowdy S. Tanveer Thomas K. DeLillo
+	Conformal slit maps in applied mathematics	2012	Darren Crowdy
+	Conformal Mappings to Multiply Connected Polycircular Arc Domains	2012	Darren Crowdy A. S. Fokas Christopher C. Green
+ PDF Chat	CONFORMAL SLIT MAPS IN APPLIED MATHEMATICS	2012	Darren Crowdy
+ PDF Chat	A two-dimensional model of low-Reynolds number swimming beneath a free surface	2011	Darren Crowdy Sungyon Lee Ophir Samson Eric Lauga Anette Hosoi
+	to Multiply Connected Polycircular Arc Domains	2011	Conformal Mappings Darren Crowdy A. S. Fokas Christopher C. Green
+	Uniformizing Real Hyperelliptic M-Curves Using the Schottky–Klein Prime Function	2010	Darren Crowdy J. S. Marshall
+	Diffusion-Limited Aggregation on Curved Surfaces	2010	Jaehyuk Choi Darren Crowdy Martin Z. Bazant
+ PDF Chat	Diffusion-limited aggregation on curved surfaces	2010	Jaehyuk Choi Darren Crowdy Martin Z. Bazant
+	The Schottky-Klein Prime Function on the Schottky Double of Planar Domains	2010	Darren Crowdy
+	Explicit solution of a class of Riemann-Hilbert problems	2009	Darren Crowdy
+	Multiply Connected Quadrature Domains and the Bergman Kernel Function	2008	Darren Crowdy J. S. Marshall
+	Geometric function theory: a modern view of a classical subject	2008	Darren Crowdy
+	The Schwarz problem in multiply connected domains and the Schottky–Klein prime function	2008	Darren Crowdy
+	Conformal maps to generalized quadrature domains	2008	Darren Crowdy J. S. Marshall
+	Contour dynamics in complex domains	2007	Darren Crowdy Amit Surana
+	Conformal mappings from annuli to canonical doubly connected Bell representations	2007	Darren Crowdy
+	Uniformizing the boundaries of multiply connected quadrature domains using Fuchsian groups	2007	Darren Crowdy J. S. Marshall
+	Riemann–Hilbert Problem for Automorphic Functions and the Schottky–Klein Prime Function	2007	Y. A. Antipov Darren Crowdy
+	Schwarz–Christoffel mappings to unbounded multiply connected polygonal regions	2007	Darren Crowdy
+	Conformal Mappings between Canonical Multiply Connected Domains	2006	Darren Crowdy J. S. Marshall
+	Point vortex motion on the surface of a sphere with impenetrable boundaries	2006	Darren Crowdy
+	The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains	2005	Darren Crowdy
+	Conformal Mapping Methods for Interfacial Dynamics	2005	Martin Z. Bazant Darren Crowdy
+	Exact solutions for uniform vortex layers attached to corners and wedges	2004	Darren Crowdy
+	The Effect of Finiteness in the Saffman–Taylor Viscous Fingering Problem	2004	Darren Crowdy S. Tanveer
+	Compressible bubbles in Stokes flow	2003	Darren Crowdy
+	General solutions to the 2D Liouville equation	1997	Darren Crowdy

Common Coauthors

Coauthor	Papers Together
J. S. Marshall	6
Peter J. Baddoo	4
Bruno Carneiro da Cunha	3
Christopher C. Green	3
S. Tanveer	3
Tiago Anselmo	3
Adrian Constantin	3
Rhodri Nelson	3
Miles H. Wheeler	3
Elena Luca	3
Martin Z. Bazant	3
Thomas K. DeLillo	2
Anand U. Oza	2
Vikas S. Krishnamurthy	2
Jaehyuk Choi	2
A. S. Fokas	2
Nicholas J. Moore	2
Anette Hosoi	1
Eric Lauga	1
Conformal Mappings	1
Lesley A. Ward	1
Giovani L. Vasconcelos	1
Jack S. Keeler	1
Ophir Samson	1
Marie A. Snipes	1
Sungyon Lee	1
Jordan C. Hauge	1
Amit Surana	1
Salman Abarghouei Nejad	1
Y. A. Antipov	1
Krishnamurthy	1
A. E. Hosoi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Schwarz–Christoffel mapping to bounded multiply connected polygonal domains	2005	Darren Crowdy	15
+	Theta functions, kernel functions, and Abelian integrals	1972	Dennis A. Hejhal	12
+	Conformal Mappings between Canonical Multiply Connected Domains	2006	Darren Crowdy J. S. Marshall	11
+	Schwarz-Christoffel mapping of multiply connected domains	2004	Thomas K. DeLillo Alan R. Elcrat J. A. Pfaltzgraff	11
+ PDF Chat	Schwarz-Christoffel Mapping	2002	Tobin A. Driscoll Lloyd N. Trefethen	11
+	Abelian Functions: Abel's Theorem and the Allied Theory of Theta Functions	2008	H. F. Baker	9
+	Geometric Theory of Functions of a Complex Variable	1969	G. Goluzin	9
+ PDF Chat	CONFORMAL SLIT MAPS IN APPLIED MATHEMATICS	2012	Darren Crowdy	8
+	A primer on Riemann surfaces	1984	Alan F. Beardon	7
+	Schwarz–Christoffel mappings to unbounded multiply connected polygonal regions	2007	Darren Crowdy	7
+ PDF Chat	The Schwarz Function and Its Applications	1974	Philip J. Davis	7
+	Quadrature identities and the schottky double	1983	Björn Gustafsson	7
+ PDF Chat	On Functions determined from their Discontinuities and a certain form of Boundary Condition	1890	W. Burnside	6
+ PDF Chat	On a Class of Automorphic Functions	1891	W. Burnside	6
+	The Schottky-Klein Prime Function on the Schottky Double of Planar Domains	2010	Darren Crowdy	6
+	Schwarz--Christoffel Mapping of the Annulus	2001	Thomas K. DeLillo Alan R. Elcrat J. A. Pfaltzgraff	5
+	Algebro-geometric approach to nonlinear integrable equations	1994	E. D. Belokolos	5
+	Geometric function theory: a modern view of a classical subject	2008	Darren Crowdy	5
+	Schwarz-Christoffel Mapping of Bounded, Multiply Connected Domains	2006	Thomas K. DeLillo	5
+	The Schwarz function and its generalization to higher dimensions	1992	Harold S. Shapiro	5
+	The Kernel Function and Conformal Mapping	1951	H. G. Eggleston Stefan Bergman	4
+ PDF Chat	Algorithm 785	1998	Chenglie Hu	4
+	The Schwarz problem in multiply connected domains and the Schottky–Klein prime function	2008	Darren Crowdy	4
+ PDF Chat	Zur Theorie der Abel'schen Functionen	1890	Félix Klein	4
+ PDF Chat	Theta Functions on Riemann Surfaces	1973	John D. Fay	4
+	Vortices, Liouville's equation and the Bergman kernel function	1980	S. M. Richardson	3
+	Monodromy preserving deformation of linear ordinary differential equations with rational coefficients	1981	Michio Jimbo Tetsuji Miwa Kimio Ueno	3
+	Elements of the Theory of Elliptic Functions	1990	Н. И. Ахиезер	3
+	Ueber eine specielle Function, welche bei einer bestimmten linearen Transformation ihres Arguments unverändert bleibt.	1887	F. Schottky	3
+	Conformal slit maps in applied mathematics	2012	Darren Crowdy	3
+	Stuart-type vortices on a rotating sphere	2019	Adrian Constantin Vikas S. Krishnamurthy	3
+ PDF Chat	Studies on the Painlevé equations	1986	Kazuo Okamoto	3
+ PDF Chat	Exact solution to a Liouville equation with Stuart vortex distribution on the surface of a torus	2019	Takashi Sakajo	3
+ PDF Chat	Monodromy Problem and the Boundary Condition for Some Painlevé Equations	1982	Michio Jimbo	3
+ PDF Chat	Equilibrium of charges and differential equations solved by polynomials	2004	Igor Loutsenko	3
+ PDF Chat	Conformal field theory of Painlevé VI	2012	Oleksandr Gamayun N. Z. Iorgov O. Lisovyy	3
+	Conformal Mappings to Multiply Connected Polycircular Arc Domains	2012	Darren Crowdy A. S. Fokas Christopher C. Green	3
+	<i>Slow Viscous Flow</i>	1966	W. E. Langlois L. Talbot	3
+	Point vortex motion on the surface of a sphere with impenetrable boundaries	2006	Darren Crowdy	3
+ PDF Chat	On steady compressible flows with compact vorticity; the compressible Stuart vortex	2000	D. I. Meiron Dennis W. Moore D. I. Pullin	3
+	General solutions to the 2D Liouville equation	1997	Darren Crowdy	3
+	Conformal Mapping of Circular Arc Polygons	1987	Petter E. Bjørstad Eric H. Grosse	3
+	On a transform method for the Laplace equation in a polygon	2003	A. S. Fokas	3
+ PDF Chat	How instanton combinatorics solves Painlevé VI, V and IIIs	2013	Oleksandr Gamayun N. Z. Iorgov O. Lisovyy	3
+	Prime Form and Schottky Model	2008	Андрей Борисович Богатырев	2
+	Equivalence problem for annuli and Bell representations in the plane	2006	Moonja Jeong Jong‐Won Oh Masahiko Taniguchi	2
+ PDF Chat	Diffusion limited aggregation and iterated conformal maps	1999	Benny Davidovitch H. G. E. Hentschel Zeev Olami Itamar Procaccia Leonard M. Sander Ellák Somfai	2
+ PDF Chat	Method of automorphic functions in the study of flow around a stack of porous cylinders	2007	Y. A. Antipov V. V. Silvestrov	2
+ PDF Chat	Dynamics of Conformal Maps for a Class of Non-Laplacian Growth Phenomena	2003	Martin Z. Bazant Jaehyuk Choi Benny Davidovitch	2
+	Domains on which analytic functions satisfy quadrature identities	1976	Dov Aharonov Harold S. Shapiro	2