Suchergebnisse - numerical solution to inverse problems in abstract (spaces OR space)~

A local meshless method for the numerical solution of space‐dependent inverse heat problems von 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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Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems von 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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Hanke–Raus rule for Landweber iteration in Banach spaces von 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 von 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 von 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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Numerical methods for time-fractional evolution equations with nonsmooth data: A concise overview von 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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A Unifying Representer Theorem for Inverse Problems and Machine Learning von 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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Numerical Solution of the Retrospective Inverse Parabolic Problem on Disjoint Intervals von 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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Approximation of inverse problems for fractional differential equations in abstract spaces von 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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Uniqueness of a Solution to the Lavrent’ev Integral Equation in n-Dimensional Space von Kokurin, M. M., Klyuchev, V. V., Gavrilova, A. V.

“… Conditions under which the studied equation has a unique solution are established. Results of numerical experiments concerning the solution of the inverse acoustic …”
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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 von 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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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 von 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 Time–Space Numerical Procedure for Solving the Sideways Heat Conduction Problem von Tan, Ching-Chuan, Shih, Chao-Feng, Shen, Jian-Hung, Chen, Yung-Wei

“… This paper proposes a solution to the sideways heat conduction problem (SHCP) based on the time and space integration direction …”
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Existence and uniqueness of a solution for a two dimensional nonlinear inverse diffusion problem von Abtahi, M., Pourgholi, R., Shidfar, A.

“… that (a,u) is a solution of the corresponding inverse problem …”
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Numerical solution of the inverse spectral problem for Bessel operators von 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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Uncertainty assessment for inverse problems in high dimensional spaces using particle swarm optimization and model reduction techniques von 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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Degenerate first-order inverse problems in Banach spaces von Al Horani, Mohammed, Favini, Angelo

“… All the results can be applied to inverse problems for equations from mathematical physics. As a possible application of the abstract theorems, some examples of partial …”
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On Krylov solutions to infinite-dimensional inverse linear problems von 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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Error Estimates of a Space‐Time Spectral Method for Nonlinear Klein–Gordon Equation With Unknown Coefficients von Qiao, Yan, Wu, Hua

“… ABSTRACT A space‐time spectral method combined with mollification method is proposed for the inverse coefficient problem of the nonlinear Klein–Gordon equation …”
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On a regularized Levenberg–Marquardt method for solving nonlinear inverse problems von Jin, Qinian

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