Results 111 to 120 of about 473,820 (257)
Numerical Homogenization of Heterogeneous Fractional Laplacians [PDF]
Multiscale Modeling & Simulation, 2018 In this paper, we develop a numerical multiscale method to solve the fractional Laplacian with a heterogeneous diffusion coefficient. When the coefficient is heterogeneous, this adds to the computational costs. Moreover, the fractional Laplacian is a nonlocal operator in its standard form, however the Caffarelli-Silvestre extension allows for a ...
Donald L. Brown +2 more
openaire +3 more sources
Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian
Journal of Function Spaces and Applications, 2013 We study the following nonlinear fractional differential equation involving the p-Laplacian operator DβφpDαut=ft,ut ...
Ya-ling Li, Shi-you Lin
doaj +1 more source
Discrete Laplacian Operator and Its Applications in Signal Processing
IEEE Access, 2020 Fractional calculus has increased in popularity in recent years, as the number of its applications in different fields has increased. Compared to the traditional operations in calculus (integration and differentiation) which are uniquely defined, the ...
Waseem Waheed, Guang Deng, Bo Liu
doaj +1 more source
, 2014 The 1D discrete fractional Laplacian operator on a cyclically closed (periodic) linear chain with finitenumber $N$ of identical particles is introduced. We suggest a "fractional elastic harmonic potential", and obtain the $N$-periodic fractionalLaplacian
Collet, Bernard +3 more
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Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains [PDF]
, 2017 We explore the connection between fractional order partial differential equations in two or more spatial dimensions with boundary integral operators to develop techniques that enable one to efficiently tackle the integral fractional Laplacian.
M. Ainsworth, Christian A. Glusa
semanticscholar +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To develop a generative diffusion model‐based approach for robust and efficient quantitative susceptibility mapping (QSM) reconstruction in intracranial hemorrhage (ICH), applicable to both standard gradient echo (GRE) and rapid echo planar imaging (EPI) acquisitions.
Zhuang Xiong +6 more
wiley +1 more source
Nontrivial Solution for the Fractional p-Laplacian Equations via Perturbation Methods
Advances in Mathematical Physics, 2017 We study the existence of nontrivial solution of the following equation without compactness: (-Δ)pαu+up-2u=f(x,u), x∈RN, where N,p≥2, α∈(0,1), (-Δ)pα is the fractional p-Laplacian, and the subcritical p-superlinear term f∈C(RN×R) is 1-periodic in xi ...
Huxiao Luo, Shengjun Li, Xianhua Tang
doaj +1 more source
On a coupled system of fractional sum-difference equations with p-Laplacian operator
Advances in Difference Equations, 2020 In this paper, we propose a nonlocal fractional sum-difference boundary value problem for a coupled system of fractional sum-difference equations with p-Laplacian operator. The problem contains both Riemann–Liouville and Caputo fractional difference with
Pimchana Siricharuanun +2 more
doaj +1 more source
Characteristics of diabatically influenced cyclones with high wind damage potential in Europe
Quarterly Journal of the Royal Meteorological Society, EarlyView.Diabatic processes contribute, on average, 26% to the intensification of European winter storms, with diabatically driven cyclones exhibiting steeper deepening rates, stronger wind gusts, and increased precipitation. These storms are linked to enhanced warm conveyor belt (WCB) activity and develop in a warmer environment with elevated lower ...
Svenja Christ +2 more
wiley +1 more source
Quarterly Journal of the Royal Meteorological Society, EarlyView.This study presents improvements to the non‐hydrostatic version of the European Centre for Medium‐Range Weather Forecasts (ECMWF) Integrated Forecasting System (IFS), enabling stable global simulations at 1.4‐km resolution. A systematic comparison with the hydrostatic version at resolutions from 9 to 1.4 km shows that non‐hydrostatic effects emerge in ...
Jozef Vivoda +3 more
wiley +1 more source