Results 11 to 20 of about 35,914 (259)
An Interior Inverse Problem for the Diffusion Operator [PDF]
Abstract and Applied Analysis, 2013 An inverse problem for the diffusion operator on a finite interval with discontinuities conditions inside the interval is studied. We have shown that the potential function of the diffusion operator can be established uniquely by a set of values of ...
A. Dabbaghian, H. Jafari, N. Yosofi
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A General‐Coordinate, Nonlocal Neutral Diffusion Operator
Journal of Advances in Modeling Earth Systems, 2020 We present a neutral diffusion operator appropriate for an ocean model making use of general vertical coordinates. The diffusion scheme uses polynomial reconstructions in the vertical, along with a horizontally local but vertically nonlocal stencil for ...
Andrew E. Shao +3 more
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Fractal and Fractional, 2021 In this manuscript, the time-fractional diffusion equation in the framework of the Yang–Abdel–Cattani derivative operator is taken into account. A detailed proof for the existence, as well as the uniqueness of the solution of the time-fractional ...
Igor V. Malyk +4 more
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Numerical Methods for a Diffusive Class of Nonlocal Operators [PDF]
Journal of Scientific Computing, 2021 In this paper we develop a numerical scheme based on quadratures to approximate solutions of integro-differential equations involving convolution kernels, $ν$, of diffusive type. In particular, we assume $ν$ is symmetric and exponentially decaying at infinity. We consider problems posed in bounded domains and in $\R$.
Gabriela Jaramillo +2 more
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Компьютерная оптика, 2021 We consider the statistical properties of different mosaic filters. We demonstrate that in Pitiev's morphology, the measure of shape complexity is directly related to the shape simplicity measure based on morphological correlation coefficient (MCC ...
Y.V. Vizilter +2 more
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Inverse problem for singular diffusion operator [PDF]
Miskolc Mathematical Notes, 2021 In this study, singular diffusion operator with jump conditions is considered. Integral representations have been derived for solutions that satisfy boundary conditions and jump conditions. Some properties of eigenvalues and eigenfunctions are investigated. Asymtotic representation of eigenvalues and eigenfunction have been obtained.
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Bayesian Inference of an Uncertain Generalized Diffusion Operator [PDF]
SIAM/ASA Journal on Uncertainty Quantification, 2022 This paper defines a novel Bayesian inverse problem to infer an infinite-dimensional uncertain operator appearing in a differential equation, whose action on an observable state variable affects its dynamics. Inference is made tractable by parametrizing the operator using its eigendecomposition. The plausibility of operator inference in the sparse data
Teresa Portone, Robert D. Moser
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Uncoupling Techniques for Multispecies Diffusion–Reaction Model
Computation, 2023 We consider the multispecies model described by a coupled system of diffusion–reaction equations, where the coupling and nonlinearity are given in the reaction part. We construct a semi-discrete form using a finite volume approximation by space.
Maria Vasilyeva +3 more
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TUNED FINITE-DIFFERENCE DIFFUSION OPERATORS [PDF]
The Astrophysical Journal Supplement Series, 2009 13 pages, 3 ...
Maron, Jason, Mac Low, Mordecai-Mark
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An Indefinite Convection-Diffusion Operator [PDF]
LMS Journal of Computation and Mathematics, 2007 AbstractWe give a mathematically rigorous analysis which confirms the surprising results in a recent paper of Benilov, O‘Brien and Sazonov [J. Fluid Mech. 497 (2003) 201-224] about the spectrum of a highly singular non-self-adjoint operator that arises in a problem in fluid mechanics.
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