Results 21 to 30 of about 23,965 (163)
A Finite Volume Method to Solve the Ill-Posed Elliptic Problems
Mathematics, 2022 In this paper, we propose a finite volume element method of primal-dual type to solve the ill-posed elliptic problem, that is, the elliptic problem with lacking or overlapping boundary value condition.
Ying Sheng, Tie Zhang
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A unified approach for regularizing discretized linear ill‐posed problems
Mathematical Modelling and Analysis, 2009 In this paper we deal with regularization approaches for discretized linear ill‐posed problems in Hilbert spaces. As opposite to other contributions concerning this topic the smoothness of the unknown solution is measured with so‐called approximative ...
Torsten Hein
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Minimum Principles for Ill-Posed Problems [PDF]
SIAM Journal on Mathematical Analysis, 1978 Ill-posed problems $Ax = h$ are discussed in which A is Hermitian and postive definite; a bound $\| {Bx} \| \leqq \beta $ is prescribed. A minimum principle is given for an approximate solution $\hat x$. Comparisons are made with the least-squares solutions of K. Miller, A. Tikhonov, et al.
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A modified quasi-boundary value method for an abstract ill-posed biparabolic problem
Open Mathematics, 2017 In this paper, we are concerned with the problem of approximating a solution of an ill-posed biparabolic problem in the abstract setting. In order to overcome the instability of the original problem, we propose a modified quasi-boundary value method to ...
Besma Khelili +2 more
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THE DEVELOPMENT OF STUDENTS APPLIED MATHEMATICAL THINKING IN TEACHING INVERSE AND ILL-POSED PROBLEMS
RUDN Journal of Informatization in Education, 2017 In the article the author draws the reader’s attention to the fact that, while mastering the process of learning the theory and methodology of inverse and ill-posed problems, students not only form the fundamental knowledge in the field of inverse and ...
V S Kornilov
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Projection regularization algorithm for solving linear algebraic system of large dimension
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010 The iterative projection algorithm for solving ill-posed systems of linear algebraic equations is examined. This algorithm is based on transforming the regularized normal equations to the equivalent augmented regularized normal system of equations.
Alexander I Zhdanov, Audrey A Ivanov
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ADAPTIVE NEURAL STABILIZATION OF ILL-POSED SPECTRAL PROBLEMS
Компютерні системи та інформаційні технологіїThe article develops a mathematical model of adaptive neural regularization and creates an algorithmic method for its implementation with a neural network for dynamic determination of the regularization parameter.
Федір САЙБЕРТ +1 more
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Quasireversibility for inhomogeneous ill-posed problems in Hilbert spaces
Electronic Journal of Differential Equations, 2010 In a Hilbert space $mathcal{H}$, the inhomogeneous ill-posed abstract Cauchy problem is given by $frac{du}{dt} = Au(t) + h(t)$, $u(0) = chi$, $0 leq t < T$; where $A$ is a positive self-adjoint linear operator acting on $mathcal{H}$, $chi in ...
Beth M. Campbell Hetrick
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Challenges of inversely estimating Jacobian from metabolomics data
Frontiers in Bioengineering and Biotechnology, 2015 Inferring dynamics of metabolic networks directly from metabolomics data provides a promising way to elucidate the underlying mechanisms of biological systems, as reported in our previous studies [1-3] by a differential Jacobian approach. The Jacobian is
Xiaoliang eSun +4 more
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Quasireversibility methods for non-well-posed problems
Electronic Journal of Differential Equations, 1994 $$displaylines{ u_t+Au = 0, quad ...
G. W. Clark, S. F. Oppenheimer
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