Results 21 to 30 of about 6,620,275 (247)
Numerical Methods for Ill-Posed, Linear Problems [PDF]
, 1975 A means of assessing the effectiveness of methods used in the numerical solution of various linear ill-posed problems is outlined. Two methods: Tikhonov' s method of regularization and the quasireversibility method of Lattès and Lions are appraised from ...
Stevens, Thomas
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Regularization and Error Estimate for the Poisson Equation with Discrete Data
Mathematics, 2019 In this work, we focus on the Cauchy problem for the Poisson equation in the two dimensional domain, where the initial data is disturbed by random noise.
Nguyen Anh Triet +3 more
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Viscoelastic Modulus Reconstruction Using Time Harmonic Vibrations
Mathematical Modelling and Analysis, 2015 This paper presents a new iterative reconstruction method to provide high-resolution images of shear modulus and viscosity via the internal measurement of displacement fields in tissues. To solve the inverse problem, we compute the Frechet derivatives of
Habib Ammari +2 more
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The ill-posed Cauchy problem by Controllability the elliptic case
Results in Control and Optimization, 2023 In this paper, we are dealing with the ill-posed Cauchy problem for an elliptic operator. To do this, we interpret the problem as an inverse problem, and therefore a controllability problem.
Bylli André Guel, Ousseynou Nakoulima
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Regularization technique and numerical analysis of the mixed system of first and second-kind Volterra–Fredholm integral equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2019 It is important to note that mixed systems of first and second-kind Volterra–Fredholm integral equations are ill-posed problems, so that solving discretized system of such problems has a lot of difficulties.
S. Pishbin, J. Shokri
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Mathematical modelling of an elongated magnetic droplet in a rotating magnetic field
Mathematical Modelling and Analysis, 2012 Dynamics of an elongated droplet under the action of a rotating magnetic field is considered by mathematical modelling. The actual shape of a droplet is obtained by solving the initial-boundary value problem of a nonlinear singularly perturbed partial ...
Andrejs Cebers, Harijs Kalis
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Química Nova, 2011 A neural network procedure to solve inverse chemical kinetic problems is discussed in this work. Rate constants are calculated from the product concentration of an irreversible consecutive reaction: the hydrogenation of Citral molecule, a process with ...
Rita C. O. Sebastião +3 more
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Algorithms, 2023 The boundary value problem, BVP, for the PDE heat equation is studied and explained in this article. The problem declaration comprises two intervals; the (0, T) is the first interval and labels the heating of the inside burning chamber, and the second (T,
Bashar Talib Al-Nuaimi +5 more
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X-rays Image reconstruction using Proximal Algorithm and adapted TV Regularization [PDF]
MATEC Web of Conferences, 2021 Computed tomography (CT) aims to reconstruct an internal distribution of an object based on projection measurements. In the case of a limited number of projections, the reconstruction problem becomes significantly ill-posed.
Allag Aicha +4 more
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Frontiers in Physiology, 2019 The electrocardiographic imaging (ECGI) inverse problem highly relies on adding constraints, a process called regularization, as the problem is ill-posed.
Judit Chamorro-Servent +9 more
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