Results 11 to 20 of about 23,573 (262)

A Finite Volume Method to Solve the Ill-Posed Elliptic Problems

open access: yesMathematics, 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
doaj   +1 more source

On the solution of ill‐posed problems by projection methods with a posteriori choice of the discretization level

open access: yesMathematical Modelling and Analysis, 2002
We consider linear ill‐posed problems Au = ƒ with minimum‐norm solution u*. Instead of ƒ noisy data ƒδ are given satisfying ‖ƒδ — ƒ‖ ≤ δ with known noise level 5.
U. Hamarik, E. Avi, A. Ganina
doaj   +1 more source

A unified approach for regularizing discretized linear ill‐posed problems

open access: yesMathematical 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
doaj   +1 more source

Ill-Posed Inverse Problems in Economics [PDF]

open access: yesAnnual Review of Economics, 2013
A parameter of an econometric model is identified if there is a one-to-one or many-to-one mapping from the population distribution of the available data to the parameter. Often, this mapping is obtained by inverting a mapping from the parameter to the population distribution.
openaire   +4 more sources

A modified quasi-boundary value method for an abstract ill-posed biparabolic problem

open access: yesOpen 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
doaj   +1 more source

Projection regularization algorithm for solving linear algebraic system of large dimension

open access: yesVestnik 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
doaj   +3 more sources

New Onset of Fibromyalgia After Exposure to a Combat Environment: A Longitudinal Cohort Study

open access: yesArthritis Care &Research, EarlyView.
Objective Traumatic life events are hypothesized to be triggers for the onset of fibromyalgia. Posttraumatic stress disorder (PTSD) is a common comorbidity of fibromyalgia. However, limited prospective data are available on the development of fibromyalgia after exposure to high‐magnitude stress.
Jay B. Higgs   +15 more
wiley   +1 more source

THE DEVELOPMENT OF STUDENTS APPLIED MATHEMATICAL THINKING IN TEACHING INVERSE AND ILL-POSED PROBLEMS

open access: yesRUDN 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
doaj   +1 more source

Minimum Principles for Ill-Posed Problems [PDF]

open access: yesSIAM 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.
openaire   +2 more sources

Advancing Research on Biomaterials and Biological Materials with Scanning Electron Microscopy under Environmental and Low Vacuum Conditions

open access: yesAdvanced Engineering Materials, EarlyView.
Herein, environmental scanning electron microscopy (ESEM) is discussed as a powerful extension of conventional SEM for life sciences. By combining high‐resolution imaging with variable pressure and humidity, ESEM allows the analysis of untreated biological materials, supports in situ monitoring of hydration‐driven changes, and advances the functional ...
Jendrian Riedel   +6 more
wiley   +1 more source

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