Results 1 to 10 of about 1,593,652 (317)
New conformal mapping for adaptive resolving of the complex singularities of Stokes wave. [PDF]
Proc Math Phys Eng Sci, 2017 A new highly efficient method is developed for computation of traveling periodic waves (Stokes waves) on the free surface of deep water. A convergence of numerical approximation is determined by the complex singularites above the free surface for the ...
Lushnikov PM +2 more
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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
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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
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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
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Numerical conformal mapping [PDF]
Mathematics of Computation, 1979 A numerical procedure to determine the discrete conformal mapping of an arbitrary simply connected region onto the open unit disk is described. The method is fast and directly provides an estimate of the global error due to the discretization of the mapping.
Chakravarthy, Sukumar, Anderson, Dale
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Computing the zeros of the Szegö kernel for doubly connected regions using conformal mapping
AIMS Mathematics, 2023 An explicit formula for the zero of the Szegö kernel for an annulus region is well-known. There exists a transformation formula for the Szegö kernel from a doubly connected region onto an annulus.
Nuraddeen S. Gafai +3 more
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Conformal complementarity maps [PDF]
Journal of High Energy Physics, 2013 Abstract We study quantum cosmological models for certain classes of bang/crunch singularities, using the duality between expanding bubbles in AdS with a FRW interior cosmology and perturbed CFTs on de Sitter space-time. It is pointed out that horizon complementarity in the AdS bulk geometries is realized as a conformal ...
Fernández Barbón, José L. +1 more
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A Numerical Study of Linear Long Water Waves over Variable Topographies using a Conformal Mapping
Trends in Computational and Applied Mathematics, 2022 In this work we present a numerical study of surface water waves over variable topographies for the linear Euler equations based on a conformal mapping and Fourier transform.
M. V. Flamarion, R. Ribeiro-Jr
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The method of fundamental solutions for analytic functions in complex analysis
AIMS Mathematics, 2022 This paper extends the method of fundamental solutions (MFS) for solving the boundary value problems of analytic functions based on Cauchy-Riemann equations and properties of harmonic functions. The conformal mapping technique is applied to introduce the
Xiaoguang Yuan +3 more
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Physical Review Research, 2021 Hyperbolic metamaterials have attracted considerable interest in the research community for their peculiar ability to enhance control of electromagnetic waves' propagation.
Shahram Dehdashti +7 more
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