Nonlocal operator methodWeighted residual methodImplicit adaptive time integrationPeriodic boundary conditionSolid-wall boundary conditionIn this paper we propose a Nonlocal Operator Method (NOM) for the solution of the Cahn-Hilliard (CH) equation exploiting the higher order continuity of the NOM. The ...
They used higher-order nonlocal operator method (HONOM) as well as higher-order hourglass energy functional in their study. According to the HONOM model, multiplications matrices from the residual as well as stiffness matrices were obtained using the introduced functional. Show moreView article Read...
method first analyses and classifies the image into several region types based on local structure information of a pixel.According to the region type,a local window is adaptively adjusted to match the local property of a region.Experimental results show the effectiveness of the proposed method...
In this paper, a new two-phase method for salt-and-pepper noise removal is proposed which combines the adaptive median filter and nonlocal mean filter. In ... X Yin,J Zhu 被引量: 8发表: 2013年 Salt-and-Pepper Noise Removal via Local Hlder Seminorm and Nonlocal Operator for Natural ...
fornoiseremovalW.L.ZengandX.B.LuThenon-localmeans(NLM)providesausefultoolforimagedenoisingandmanyvariationsoftheNLMmethodhavebeenproposed.However,fewworkshavetriedtotacklethetaskofadaptivelychoos-ingthepatchsizeaccordingtoregioncharacteristics.Presentedisaregion-basedNLMmethodfornoiseremoval.Theproposedmethod?
Local index theorem for Dirac operator In 1971 Patodi([2,3]) proved the local index theorem for two kinds of the classical geometricoperators in the Atiyah-Singer theory. This article will improve the method used by Patodi and Y Yu - 《Acta Mathematica Sinica》 被引量: 58发表: 1987年 ...
Strong Nonlocal-to-Local Convergence of the Cahn-Hilliard Equation and its Operator We prove convergence of a sequence of weak solutions of the nonlocal Cahn-Hilliard equation to the strong solution of the corresponding local Cahn-Hilliard... H Abels,C Hurm - 《Journal of Differential Equations...
The method ... A Banerjee,F Grein - 《Journal of Chemical Physics》 被引量: 42发表: 1977年 Solution of the Schrdinger equation over an infinite integration interval by perturbation methods, revisited We consider the solution of the one-dimensional Schrdinger problem over an infinite integration ...
The first article, by Alberto Cabada, is an invited review on the applications of the method of upper and lower solutions to boundary value problems with nonlinear boundary data. The following articles deal with boundary value problems with nonlocal conditions for ordinary, discrete, impulsive, ...
E. Gutierrez, and a transference method. In this manner we apply local PDE techniques to nonlocal operators. On the way a maximum principle and a Liouville theorem for some fractional nonlocal equations are obtained. 展开 关键词: fractional nonlocal operator harnack's inequality degenerate ...