Time-averaged mean squared displacement ratio test for Gaussian processes with unknown diffusion coefficient

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/5.0054119 ◽

2021 ◽

Vol 31 (7) ◽

pp. 073120

Author(s):

Katarzyna Maraj ◽

Dawid Szarek ◽

Grzegorz Sikora ◽

Agnieszka Wyłomańska

Keyword(s):

Diffusion Coefficient ◽

Gaussian Processes ◽

Displacement Ratio ◽

Mean Squared Displacement ◽

Unknown Diffusion Coefficient

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A total variation regularization method for an inverse problem of recovering an unknown diffusion coefficient in a parabolic equation

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2020.1725502 ◽

2020 ◽

Vol 28 (10) ◽

pp. 1453-1473

Author(s):

Zhaoxing Li ◽

Zhiliang Deng

Keyword(s):

Inverse Problem ◽

Diffusion Coefficient ◽

Parabolic Equation ◽

Total Variation ◽

Regularization Method ◽

Total Variation Regularization ◽

Unknown Diffusion Coefficient

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Identification of the unknown diffusion coefficient in a linear parabolic equation by the semigroup approach

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.08.004 ◽

2008 ◽

Vol 340 (1) ◽

pp. 5-15 ◽

Author(s):

Ali Demir ◽

Alemdar Hasanov

Keyword(s):

Diffusion Coefficient ◽

Parabolic Equation ◽

Linear Parabolic Equation ◽

Semigroup Approach ◽

Unknown Diffusion Coefficient

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Analysis of an adjoint problem approach to the identification of an unknown diffusion coefficient

Inverse Problems ◽

10.1088/0266-5611/20/2/019 ◽

2004 ◽

Vol 20 (2) ◽

pp. 601-625 ◽

Author(s):

P DuChateau ◽

R Thelwell ◽

G Butters

Keyword(s):

Diffusion Coefficient ◽

Adjoint Problem ◽

Unknown Diffusion Coefficient

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Semigroup approach for identification of the unknown diffusion coefficient in a linear parabolic equation with mixed output data

Boundary Value Problems ◽

10.1186/1687-2770-2013-43 ◽

2013 ◽

Vol 2013 (1) ◽

Author(s):

Ebru Ozbilge ◽

Ali Demir

Keyword(s):

Diffusion Coefficient ◽

Parabolic Equation ◽

Linear Parabolic Equation ◽

Output Data ◽

Semigroup Approach ◽

Unknown Diffusion Coefficient

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Determination of an unknown diffusion coefficient in a semilinear parabolic problem

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2012.05.019 ◽

2013 ◽

Vol 246 ◽

pp. 104-112 ◽

Author(s):

K. Van Bockstal ◽

M. Slodička

Keyword(s):

Diffusion Coefficient ◽

Parabolic Problem ◽

Semilinear Parabolic ◽

Semilinear Parabolic Problem ◽

Unknown Diffusion Coefficient

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Identification of unknown diffusion coefficient in pure diffusive linear model of chronoamperometry. II. Numerical implementation

Journal of Mathematical Chemistry ◽

10.1007/s10910-010-9687-1 ◽

2010 ◽

Vol 48 (3) ◽

pp. 508-520

Author(s):

Alemdar Hasanov ◽

Burhan Pektaş

Keyword(s):

Diffusion Coefficient ◽

Linear Model ◽

Numerical Implementation ◽

Unknown Diffusion Coefficient

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Measuring a diffusion coefficient by single-particle tracking: statistical analysis of experimental mean squared displacement curves

Physical Chemistry Chemical Physics ◽

10.1039/c2cp43433d ◽

2013 ◽

Vol 15 (3) ◽

pp. 845-849 ◽

Author(s):

Dominique Ernst ◽

Jürgen Köhler

Keyword(s):

Diffusion Coefficient ◽

Statistical Analysis ◽

Particle Tracking ◽

Single Particle ◽

Single Particle Tracking ◽

Mean Squared Displacement

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Identification of unknown diffusion coefficient in pure diffusive linear model of chronoamperometry. I. The theory

Journal of Mathematical Chemistry ◽

10.1007/s10910-010-9686-2 ◽

2010 ◽

Vol 48 (3) ◽

pp. 491-507 ◽

Author(s):

Alemdar Hasanov

Keyword(s):

Diffusion Coefficient ◽

Linear Model ◽

Unknown Diffusion Coefficient

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Measure of cyclostationarity for Gaussian processes based on the likelihood ratio test

Proceedings of 8th Workshop on Statistical Signal and Array Processing ◽

10.1109/ssap.1996.534904 ◽

2002 ◽

Author(s):

C. Andrieu ◽

P. Duvaut

Keyword(s):

Likelihood Ratio ◽

Likelihood Ratio Test ◽

Gaussian Processes ◽

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Semigroup approach for identification of the unknown diffusion coefficient in a quasi-linear parabolic equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.837 ◽

2007 ◽

Vol 30 (11) ◽

pp. 1283-1294 ◽

Author(s):

Ali Demir ◽

Ebru Ozbilge

Keyword(s):

Diffusion Coefficient ◽

Parabolic Equation ◽

Linear Parabolic Equation ◽

Semigroup Approach ◽

Unknown Diffusion Coefficient

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