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Inverse Problems in Science and Engineering Volume 24, 2016 - Issue 1
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Articles

Computational algorithms for solving the coefficient inverse problem for parabolic equations

P.N. VabishchevichNuclear Safety Institute, Russian Academy of Sciences, Moscow, Russia.Correspondence[email protected]
[email protected]
&
V.I. Vasil’evInstitute of Mathematics and Information Science, North-Eastern Federal University, Yakutsk, Russia.
Pages 42-59 | Received 10 Jul 2014, Accepted 26 Nov 2014, Published online: 22 Dec 2014

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Fariba Takhtabnoos & Ahmad Shirzadi. (2018) A greedy MLPG method for identifying a control parameter in 2D parabolic PDEs. Inverse Problems in Science and Engineering 26:11, pages 1676-1694.
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Articles from other publishers (20)

Chaitanya Awasthi, Andrew Lamperski & Timothy M Kowalewski. (2023) Multi-material inverse design of soft deformable bodies via functional optimization. Inverse Problems 39:3, pages 035006.
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V. I. Vasil’ev, A. M. Kardashevsky & V. V. Popov. (2023) Iterative Solution of a Retrospective Inverse Heat Conduction Problem with Inhomogeneous Dirichlet Boundary Conditions. Journal of Applied and Industrial Mathematics 16:4, pages 841-852.
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LingDe Su & V. I. Vasil’ev. (2021) Identification of spacewise dependent right-hand side in two dimensional parabolic equation. Journal of Physics: Conference Series 2092:1, pages 012019.
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Kh.M. Gamzaev. (2021) The Problem of Identifying the Trajectory of a Mobile Point Source in the Convective Transport Equation. Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 14:2, pages 78-84.
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Ivan T. Dimov, Juri D. Kandilarov & Lubin G. Vulkov. 2021. Advanced Computing in Industrial Mathematics. Advanced Computing in Industrial Mathematics 79 89 .
Kh. M. Gamzaev. (2020) Inverse Problem of Pipeline Transport of Weakly-Compressible Fluids. Journal of Engineering Physics and Thermophysics 93:6, pages 1567-1573.
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Lingde Su, V. I. Vasil’ev & Tongsong Jiang. (2020) Simultaneously Identify the Leading Coefficient and Right-hand Side in a Parabolic Equation. Journal of Physics: Conference Series 1624:3, pages 032008.
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Mohammad Ilati. (2020) DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs. Computers & Mathematics with Applications 80:5, pages 604-616.
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Kh.M. Gamzaev. (2020) Identification of a Trajectory of a Mobile Point Source When Heating a One-Dimensional Rod. Èlektronnoe modelirovanie 42:1, pages 25-32.
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Petr N. Vabishchevich. 2020. Large-Scale Scientific Computing. Large-Scale Scientific Computing 105 112 .
Ling De Su & V. I. Vasil’ev. (2019) Identification of the spacewise dependent right-hand side in one-dimensional parabolic equation. Journal of Physics: Conference Series 1392:1, pages 012087.
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A. V. Gladky & Y. A. Gladka. (2019) A Splitting Scheme for Diffusion and Heat Conduction Problems. Cybernetics and Systems Analysis 55:6, pages 988-998.
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P. N. Vabishchevich. (2019) Computational Identification of the Time Dependence of the Right-Hand Side of a Hyperbolic Equation. Computational Mathematics and Mathematical Physics 59:9, pages 1475-1483.
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J. Kandilarov & L. Vulkov. A transformation method for numerical identification of the time-dependent diffusion coefficient in parabolic equations. A transformation method for numerical identification of the time-dependent diffusion coefficient in parabolic equations.
Petr N. Vabishchevich. (2019) Computational identification of the lowest space-wise dependent coefficient of a parabolic equation. Applied Mathematical Modelling 65, pages 361-376.
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LingDe Su & TongSong Jiang. (2018) Numerical Method for Solving Nonhomogeneous Backward Heat Conduction Problem. International Journal of Differential Equations 2018, pages 1-11.
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V. I. Vasil’ev, A. M. Kardashevsky & V. V. Popov. Numerical reconstruction of the right hand side with separable variables of the parabolic equation. Numerical reconstruction of the right hand side with separable variables of the parabolic equation.
P. N. Vabishchevich, V. I. Vasil’ev, M. V. Vasil’eva & D. Ya. Nikiforov. (2016) Numerical solution of an inverse filtration problem. Lobachevskii Journal of Mathematics 37:6, pages 777-786.
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P. N. Vabishchevich & M. V. Klibanov. (2016) Numerical identification of the leading coefficient of a parabolic equation. Differential Equations 52:7, pages 855-862.
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V. V. Vasil’ev, M. V. Vasilyeva & A. M. Kardashevsky. The numerical solution of the boundary inverse problem for a parabolic equation. The numerical solution of the boundary inverse problem for a parabolic equation.

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