Search Results - numerical (solution OR evolution) to inverse problems in abstract spaces

Numerical methods for time-fractional evolution equations with nonsmooth data: A concise overview by Jin, Bangti, Lazarov, Raytcho, Zhou, Zhi

“… The present paper gives a concise overview on numerical schemes for the subdiffusion model with nonsmooth problem data, which are important for the numerical analysis of many problems arising…”
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Mathematical and Numerical Analysis of Nonlinear Evolution Equations: Advances and Perspectives

“…The topic of this book is the mathematical and numerical analysis of some recent frameworks based on differential equations and their application in the mathematical modeling of complex systems…”
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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems by Sakamoto, Kenichi, Yamamoto, Masahiro

“…) the uniqueness of solution by the decay rate as t → ∞ , (iv) stability in an inverse source problem of determining t-dependent factor in the source by observation at one point over ( 0 , T ) …”
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A local meshless method for the numerical solution of space‐dependent inverse heat problems by Khan, Muhammad Nawaz, Siraj‐ul‐Islam, Hussain, Iltaf, Ahmad, Imtiaz, Ahmad, Hijaz

“…In this paper, a local radial basis function collocation method is proposed for the numerical solution of inverse space…”
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Degenerate first-order inverse problems in Banach spaces by Al Horani, Mohammed, Favini, Angelo

“…We are concerned with an inverse problem for a degenerate linear evolution equation of first-order…”
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Numerical Solution of the Retrospective Inverse Parabolic Problem on Disjoint Intervals by Koleva, Miglena N., Vulkov, Lubin G.

“…The retrospective inverse problem for evolution equations is formulated as the reconstruction of unknown initial data by a given solution at the final time…”
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Hanke–Raus rule for Landweber iteration in Banach spaces by Real, Rommel R.

“…We consider the Landweber iteration for solving linear as well as nonlinear inverse problems in Banach spaces…”
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The Mathematics of Atmospheric Dispersion Modeling by Stockie, John M.

“… The results are then applied to solving an inverse problem in which emission source rates are determined from a given set of ground-level contaminant measurements…”
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NUMERICAL SOLUTION OF THE INVERSE GARDNER EQUATION by Foadian, S, Pourgholi, R, Baladezaei, M. G

“…In this paper, the numerical solution of the inverse Gardner equation will be considered…”
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UNCERTAINTY QUANTIFICATION AND WEAK APPROXIMATION OF AN ELLIPTIC INVERSE PROBLEM by DASHTI, M., STUART, A. M.

“…We consider the inverse problem of determining the permeability from the pressure in a Darcy model of flow in a porous medium…”
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An investigation of an inverse problem for second-order abstract differential equation: An investigation of an inverse problem by Malik, Muslim, Ruhil, Santosh, Dhayal, Rajesh

“…In this manuscript, we consider an inverse problem for a second-order abstract differential equation in a Banach space and identify the parameter using an over-determined condition on a mild solution…”
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Advances in Fractional Differential Operators and Their Applications

“…–Volterra systems, distributed delays, Fornberg–Whitham equations, abstract evolution and fractional wave equations, cantilever beams, and fractional Riccati…”
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Numerical solution of the inverse spectral problem for Bessel operators by Hryniv, Rostyslav, Sacks, Paul

“…We consider some inverse spectral problems associated with the singular Sturm–Liouville equation − u ″ + ( q ( x ) + ℓ ( ℓ + 1 ) x 2 ) u = λ u 0 < x < 1 for ℓ = 1 , 2 … , which is obtained by separation of variables in the 3D radial…”
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Existence and uniqueness of a solution for a two dimensional nonlinear inverse diffusion problem by Abtahi, M., Pourgholi, R., Shidfar, A.

“… that (a,u) is a solution of the corresponding inverse problem…”
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The use of Chebyshev cardinal functions for the solution of a partial differential equation with an unknown time-dependent coefficient subject to an extra measurement by Lakestani, Mehrdad, Dehghan, Mehdi

“…A numerical technique is presented for the solution of a parabolic partial differential equation with a time-dependent coefficient subject to an extra measurement…”
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A Unifying Representer Theorem for Inverse Problems and Machine Learning by Unser, Michael

“… The method is applicable whenever the problem is formulated as an optimization task. The standard strategy consists in augmenting the original cost functional by an energy that penalizes solutions with undesirable behavior…”
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The method of fundamental solution for the inverse source problem for the space-fractional diffusion equation by Wen, Jin, Cheng, Jun-Feng

“…In this article, a meshless numerical method for solving the inverse source problem of the space-fractional diffusion equation is proposed…”
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Direct and inverse problems for degenerate differential equations by Al Horani, Mohammed, Fabrizio, Mauro, Favini, Angelo, Tanabe, Hiroki

“… We indicate sufficient conditions for existence and uniqueness of a solution. Periodic conditions are assumed to improve previous approaches on the abstract problem to work…”
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Tectonics from fluvial topography using formal linear inversion: Theory and applications to the Inyo Mountains, California by Goren, L., Fox, Matthew, Willett, Sean D.

“… Despite this basic relation, the inverse problem, by which features of the topography are used for inferring tectonic uplift rates, has proven challenging…”
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On a regularized Levenberg–Marquardt method for solving nonlinear inverse problems by Jin, Qinian

“…We consider a regularized Levenberg–Marquardt method for solving nonlinear ill-posed inverse problems…”
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