Numerical techniques for conformal mapping onto a rectangle [PDF]
, 1986 This paper is concerned with the problem of determining approximations to the function F which maps conformally a simply-connected domain onto a rectangle R, so that four specified points on are mapped Ω∂respectively onto the four vertices of R.
Kokkinos, CA, Warby, MK, Papamichael, N
core +7 more sources
An orthonormalization method for the approximate conformal mapping of multiply-connected domains [PDF]
, 1988 We consider the use of an orthonormalization method for constructing approximations to one of the standard conformal maps for multiply-connected domains. The method has been used successfully in [12], but only for the mapping of doubly-connected domains.
Kokkinos, CA +2 more
core +6 more sources
The treatment of corner and pole-type singularities in numerical conformal mapping techniques [PDF]
, 1984 This paper is a report of recent developments concerning the nature and the treatment of singularities that affect certain numerical conformal mapping techniques.
Warby, MK, Hough, DM, Papamichael, N
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Magnetopause as conformal mapping [PDF]
Annales Geophysicae, 2023 An axi-symmetric two-dimensional magnetopause model is constructed by making use of the conformal mapping in the complex plane. The model is an analytic continuation of the power-law damped (or asymptotically elongated) parabolic shape. The complex-plane
Y. Narita, S. Toepfer, D. Schmid
doaj +1 more source
The optimal conformal projection for pan-European mapping [PDF]
Geodetski Vestnik, 2020 There is an increasing need for pan-European spatial datasets, mainly to support the common European Union policies. This has inevitably raised demands for adopting pan-European cartographic projections to visualize the spatial data.
Ivan Nestorov +2 more
doaj +1 more source
Pole type singularities and the numerical conformal mapping of doubly-connected domains [PDF]
, 1983 Let f be the function which maps conformally a given doubly-connected domain onto a circular annulus, and let Ω H(z) = f '(z) / f(z) - 1/z . In this paper we consider the problem of determining the main singularities of the function H in compl)(Ω∂∪Ω ...
Warby, M K, Papamichael, N
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Conformal mapping of the Borel plane: Going beyond perturbative QCD [PDF]
Physical Review D, 2020 The power corrections in the Operator Product Expansion (OPE) of QCD correlators can be viewed mathematically as an illustration of the transseries concept, which allows to recover a function from its asymptotic divergent expansion.
I. Caprini
semanticscholar +1 more source
Controlling electromagnetic surface waves with conformal transformation optics
Communications Physics, 2023 The application of transformation optics to the development of intriguing electromagnetic devices can produce weakly anisotropic or isotropic media with the assistance of quasi-conformal and/or conformal mapping, as opposed to the strongly anisotropic ...
Xiaoyu Zhao +4 more
doaj +1 more source
Conformal IRS-Empowered MIMO-OFDM: Channel Estimation and Environment Mapping
IEEE Transactions on Communications, 2022 We consider the channel estimation and environment mapping problems in multiple-input multiple-output orthogonal frequency division multiplexing systems empowered by intelligent reconfigurable surfaces (IRSs).
Yuxing Lin +3 more
semanticscholar +1 more source
Numerical Conformal Mapping with Rational Functions [PDF]
Computational methods in Function Theory, 2019 New algorithms are presented for numerical conformal mapping based on rational approximations and the solution of Dirichlet problems by least-squares fitting on the boundary.
L. Trefethen
semanticscholar +1 more source