Search Results - Numerical solution to inverse problems in abstract spaces~

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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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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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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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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Numerical Solution of the Retrospective Inverse Parabolic Problem on Disjoint Intervals by Koleva, Miglena N., Vulkov, Lubin G.

“… We consider the inverse retrospective problem for a one-dimensional parabolic equation in two disconnected intervals with weak solutions in weighted Sobolev spaces…”
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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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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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A new regularization method for solving a time-fractional inverse diffusion problem by Zheng, G.H., Wei, T.

“…In this paper, we consider an inverse problem for a time-fractional diffusion equation in a one-dimensional semi-infinite domain…”
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Approximation of inverse problems for fractional differential equations in abstract spaces by Ruhil, Santosh, Malik, Muslim, Nisar, Kottakkaran Sooppy, Shammari, Fahad Sameer Al

“…This article focuses on approximating a fractional-order inverse problem (IP) for an abstract differential equation in a Hilbert space…”
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On Krylov solutions to infinite-dimensional inverse linear problems by Caruso, Noe, Michelangeli, Alessandro, Novati, Paolo

“…We discuss, in the context of inverse linear problems in Hilbert space, the notion of the associated infinite-dimensional Krylov subspace and we produce necessary and sufficient conditions…”
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Uncertainty assessment for inverse problems in high dimensional spaces using particle swarm optimization and model reduction techniques by Fernández-Martínez, J.L., Mukerji, T., García-Gonzalo, E., Fernández-Muñiz, Z.

“… Thus, both a large number of parameters and very costly forward evaluations hamper the use of global algorithms in inverse problems…”
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The Convex Geometry of Linear Inverse Problems by Chandrasekaran, Venkat, Recht, Benjamin, Parrilo, Pablo A., Willsky, Alan S.

“… This paper provides a general framework to convert notions of simplicity into convex penalty functions, resulting in convex optimization solutions to linear, underdetermined inverse problems…”
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A Deep Learning Approach to Navigating the Joint Solution Space of Redundant Inverse Kinematics and Its Applications to Numerical IK Computations by Ho, Chi-Kai, Chan, Li-Wei, King, Chung-Ta, Yen, Ting-Yu

“… Numerical optimizations are commonly used to solve the problem due to their generality and accuracy…”
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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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