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A pseudospectral method for the one-dimensional fractional Laplacian on R 

Cayama, J.; Cuesta, C.M.; De la Hoz, F. (2021-01-15)
In this paper, we propose a novel pseudospectral method to approximate accurately and efficiently the fractional Laplacian without using truncation. More precisely, given a bounded regular function defined over R, we map ...
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Numerical approximation of the fractional Laplacian on R using orthogonal families 

Cayama, J.; Cuesta, C.M.; De la Hoz, F. (2020-12-01)
In this paper, using well-known complex variable techniques, we compute explicitly, in terms of the F12 Gaussian hypergeometric function, the one-dimensional fractional Laplacian of the complex Higgins functions, the complex ...
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Vortex Filament Equation for a regular polygon in the hyperbolic plane 

de la Hoz, F.; Kumar, S.; Vega, L.Autoridad BCAM (2020-07-09)
The aim of this article is twofold. First, we show the evolution of the vortex filament equation (VFE) for a regular planar polygon in the hyperbolic space. Unlike in the Euclidean space, the planar polygon is open and ...
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On the Evolution of the Vortex Filament Equation for regular M-polygons with nonzero torsion 

De la Hoz, F.; Kumar, S.; Vega, L.Autoridad BCAM (2019-09-03)
In this paper, we consider the evolution of the Vortex Filament equa- tion (VFE): Xt = Xs ∧ Xss, taking M-sided regular polygons with nonzero torsion as initial data. Us- ing algebraic techniques, backed by numerical ...
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On the Relationship between the One-Corner Problem and the $M-$Corner Problem for the Vortex Filament Equation 

De la Hoz, F.; Vega, L.Autoridad BCAM (2018-06-28)
In this paper, we give evidence that the evolution of the vortex filament equation (VFE) for a regular M-corner polygon as initial datum can be explained at infinitesimal times as the superposition of M one-corner initial ...
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The Vortex Filament Equation as a Pseudorandom Generator 

De la Hoz, F.; Vega, L.Autoridad BCAM (2015-08-01)
In this paper, we consider the evolution of the so-called vortex filament equation (VFE), $$ X_t = X_s \wedge X_{ss},$$ taking a planar regular polygon of M sides as initial datum. We study VFE from a completely novel ...
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Vortex filament equation for a regular polygon 

De la Hoz, F.; Vega, L.Autoridad BCAM (2014-12-31)
In this paper, we study the evolution of the vortex filament equation,$$ X_t = X_s \wedge X_{ss},$$with $X(s, 0)$ being a regular planar polygon. Using algebraic techniques, supported by full numerical simulations, we give ...

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Author
De la Hoz, F. (7)
Vega, L. (5)Cayama, J. (2)Cuesta, C.M. (2)Kumar, S. (2)SubjectFractional Laplacian (2)Pseudospectral methods (2)Accelerating fronts (1)Arbitrary-precision arithmetic (1)Condition numbers (1)Differentiation matrices (1)Fractional nonlinear Schrödinger equation (1)Intermittency (1)MULTIFRACTALITY (1)Multifractality (1)... másFecha2021 (1)2020 (2)2019 (1)2018 (1)2015 (1)2014 (1)

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