Results 31 to 40 of about 76,152 (305)
, 2021 In English.This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived.
Klibanov M. V. ((Michael V.),) +1 more
core
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
doaj +1 more source
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.
openaire +2 more sources
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
doaj +1 more source
Complexity of Linear Ill-Posed Problems in Hilbert Space
, 2017 Information complexity of ill-posed problems may be seen as controversial. On the one hand side there were pessimistic results stating that the complexity is infinite, while on the other hand side the theory of ill-posed problems is well developed.
Mathé, Peter, Pereverzev, Sergei V.
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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
doaj +3 more sources
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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Early Clinical, Imaging, and Pathological Characteristics of SRPK3/TTN‐Digenic Myopathy
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective SRPK3/TTN‐digenic myopathy was recently established as a skeletal muscle myopathy caused by digenic inheritance. This study characterizes the early clinical presentation of SRPK3/TTN‐digenic myopathy in one previously reported and seven newly identified pediatric patients.
Rotem Orbach +23 more
wiley +1 more source
Arthritis Care &Research, EarlyView.Objective Sjögren's disease is an autoimmune disorder that can impact multiple organ systems, including the peripheral nervous system (PNS). PNS manifestations, which can exist concurrently, include mononeuropathies, polyneuropathies, and autonomic nervous system neuropathies.
Anahita Deboo +88 more
wiley +1 more source
New Onset of Fibromyalgia After Exposure to a Combat Environment: A Longitudinal Cohort Study
Arthritis 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