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Denoising X-Ray Diffraction Two-Dimensional Patterns with Lattice Boltzmann Method
An X-ray diffraction pattern consists of relevant information (the signal) and noisy background. Under the assumption that they behave as the components of a two-dimensional mixture (bicomponent fluid) having slightly different physical properties ...
Massimo Ladisa
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Nonlinear thermal conductivity in gases
The nonlinear diffusion equation corresponds to the diffusion processes which can occur with a finite velocity. A.J. Janavičius proposed nonlinear equation which describes more exactly the diffusion of impurities in Si crystals in many interesting ...
Arvydas Juozapas Janavičius +1 more
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An Lp-approach for the study of degenerate parabolic equations
We give regularity results for solutions of a parabolic equation in non-rectangular domains $U=cup_{tin ] 0,1[}{ t} imes I_{t}$ with $I_{t}={x ...
Boubaker-Khaled Sadallah +2 more
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Pin-by-pin Calculation of Reactor Core-Based on Quasi-diffusion in Rectangular Grid
Physical calculations of reactor cores are fundamental for reactor core design and nuclear safety analysis. The second generation of core calculation theory and methods based on advanced component homogenization theory and modern coarse grid block ...
YAN Jiangtao;LIU Kun;ZHUANG Kun;WANG Senshan;ZHANG Kaihui;ZHANG Xinxin
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In this work, we proposed a dynamic inverse solution with spatio-temporal constraints of the nonlinear heat diffusion problem in 1D and 2D based on a regularized Gauss–Newton and Krylov subspace with a preconditioner.
Luis Fernando Alvarez-Velasquez +1 more
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Continuous selections of Borel measures, positive operators and degenerate evolution problems
In this paper we continue the study of a sequence of positive linear operators which we have introduced in [9] and which are associated with a continuous selection of Borel measures on the unit interval.
Francesco Altomare, Vita Leonessa
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An innovative high-order dimensionality reduction approach, which integrates a condensed finite-difference scheme with proper orthogonal decomposition techniques, has been explored for solving diffusion equations.
Wenqian Zhang, Hong Li
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A Non-Stationary Model for Analysis of Impedance Spectra of Biological Samples
Electric impedance spectrum (EIS) is attracting attention in many areas of science, ranging from electrochemistry and material science to medical diagnosis.
Gabriela Janik +4 more
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In this work, we propose a nonlinear dynamic inverse solution to the diffusion problem based on Krylov Subspace Methods with spatiotemporal constraints. The proposed approach is applied by considering, as a forward problem, a 1D diffusion problem with a ...
Luis Fernando Alvarez-Velasquez +1 more
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A Space-Time Spectral Method for the Time Fractional Diffusion Equation
SIAM Journal on Numerical Analysis, 2009Xianjuan Li, Chuanju Xu
exaly

