Results 31 to 40 of about 218,484 (179)

Non-Singular Generalized RBF Solution and Weaker Singularity MFS: Laplace Equation and Anisotropic Laplace Equation

Mathematics
This paper introduces a singular distance function rs in terms of a symmetric non-negative metric tensor S. If S satisfies a quadratic matrix equation involving a parameter β, then for the Laplace equation rsβ is a non-singular generalized radial basis ...
Chein-Shan Liu, Chung-Lun Kuo
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Holographic coordinates

, 2018
The Laplace equation in the two-dimensional Euclidean plane is considered in the context of the inverse stereographic projection. The Lie algebra of the conformal group as the symmetry group of the Laplace equation can be represented solely in terms of ...
Ulrych, S.
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Surface stress calculations for nanoparticles and cavities in aluminum, silicon, and iron: influence of pressure and validity of the Young-Laplace equation

Materials Theory, 2021
This study is dedicated to the determination of the surface energy and stress of nanoparticles and cavities in presence of pressure, and to the evaluation of the accuracy of the Young-Laplace equation for these systems. Procedures are proposed to extract
Laurent Pizzagalli, Marie-Laure David
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Transparent boundary conditions based on the Pole Condition for time-dependent, two-dimensional problems [PDF]

, 2012
The pole condition approach for deriving transparent boundary conditions is extended to the time-dependent, two-dimensional case. Non-physical modes of the solution are identified by the position of poles of the solution's spatial Laplace transform in ...
Alpert, Antoine, Astley, Bérenger, Ehrhardt, Engquist, Givoli, Givoli, Hagstrom, Hagstrom, Hagstrom, Hagstrom, Hagstrom, Hairer, Hohage, Hohage, Hohage, Lindman, Nannen, Nannen, Ruprecht, Schmidt, Schmidt, Schmidt, Schmidt, Tsynkov, Zschiedrich, Zschiedrich   +27 more
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The Approximate Analytic Solution of the Time-Fractional Black-Scholes Equation with a European Option Based on the Katugampola Fractional Derivative

Mathematics, 2021
In the finance market, it is well known that the price change of the underlying fractal transmission system can be modeled with the Black-Scholes equation.
Sivaporn Ampun, Panumart Sawangtong
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Existence of solutions for a higher order non-local equation appearing in crack dynamics

, 2010
In this paper, we prove the existence of non-negative solutions for a non-local higher order degenerate parabolic equation arising in the modeling of hydraulic fractures.
A Mellet, Adachi J I Detournay E, Agranovich M S, Bernis F, Bernis F, Bernis F, Bernis F, Bertozzi A L, Bertsch M, C Imbert, Crouch S L, Dal Passo R, Dal Passo R, Grün G, Grün G, Lions J-L, Peirce A P, Zheltov Y P   +17 more
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Probe method and a Carleman function

, 2020
A Carleman function is a special fundamental solution with a large parameter for the Laplace operator and gives a formula to calculate the value of the solution of the Cauchy problem in a domain for the Laplace equation.
Aizenberg L, Astala K, Astala K, Bateman H, Bateman H, Calderón A P, Cheng J, Evgrafov M A, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Ikehata M, Kirsch A, Kress R, Masaru Ikehata, Vekua I N, Vekua I N, Yarmukhamedov Sh, Yarmukhamedov Sh, Yarmukhamedov Sh, Yarmukhamedov Sh   +27 more
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A Laplace Ladder of Discrete Laplace Equations

Theoretical and Mathematical Physics, 2002
The notion of a Laplace ladder for a discrete analogue of the Laplace equation is presented. The adjoint of the discrete Moutard equation and a discrete counterpart of the nonlinear form of Goursat equation are introduced.
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Validity and regularization of classical half-space equations

, 2016
Recent result [Wu and Guo, Comm. Math. Phys., 2015] has shown that over the 2D unit disk, the classical half-space equation (CHS) for the neutron transport does not capture the correct boundary layer behaviour as long believed. In this paper we develop a
Li, Qin, Lu, Jianfeng, Sun, Weiran
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Precise Solution of Laplace's Equation [PDF]

Mathematics of Computation, 1995
An approximate method is described for solving Laplace’s equation \[ { Δ u = 0 u
Shi, Zhixin, Hassard, Brian
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