Results 31 to 40 of about 29,061 (317)

Determination of source term for the fractional Rayleigh–Stokes equation with random data

Journal of Inequalities and Applications, 2019
In this article, we consider the problem of finding a source term of a Rayleigh–Stokes equation. Our problem is not well-posed in the sense of Hadamard. The sought solution does not depend continuously on the given data.
Tran Thanh Binh, Dumitru Baleanu, Nguyen Hoang Luc, Nguyen-H Can   +3 more
doaj   +1 more source

Ill-posed problems and the conjugate gradient method: Optimal convergence rates in the presence of discretization and modelling errors [PDF]

, 2022
Andreas B. Neubauer
openalex   +1 more source

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

Arthritis Care &Research, Accepted Article.
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, Willie J. Hale, Casey L. Straud, Jim Mintz, Stacey Young‐McCaughan, Kimberly D. Gomes, Chelsea J. Sterne, Katrina M. Lawrence‐Wolff, Alan J. Bartholomew, Kevin M. Kelly, Douglas M. Maurer, Catherine Vriend, Brett T. Litz, Douglas E. Williamson, Alan L. Peterson, for the STRONG STAR Consortium   +15 more
wiley   +1 more source

Uncertainty in structure dynamics resulting from matrix ill-conditioning

Archives of Acoustics, 2014
In the paper there are discussed certain issues concerning ill-posed problems that frequently appear in inverse problems, modal analysis, acoustics and other methods making use of matrix algebra.
J. IWANIEC
doaj  

STABILITY ESTIMATE FOR THE HEAT EQUATION BACKWARD IN TIME WITH NEUMANN AND INTEGRAL BOUNDARY CONDITIONS

Tạp chí Khoa học
In this paper, we first prove that the heat equation backward in time with Neumann and integral boundary conditions is an ill-posed problem. Then, we establish a stability estimate of Hölder type for this ill-posed problem.
Nguyen Van Duc
doaj   +1 more source

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

Advanced 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, Lea Dierker, Antoine Eyram Kwame, Kim Nora Wagner, Jonas J. Unterholzner, Jan‐Henning Dirks, Dorothea Brüggemann   +6 more
wiley   +1 more source

ILL-POSEDNESS AND STABILITY ESTIMATE FOR THE HEAT EQUATION BACKWARD IN TIME WITH DIRICHLET AND INTEGRAL BOUNDARY CONDITIONS

Tạp chí Khoa học
In this paper, we first prove that the heat equation backward in time with Dirichlet and integral boundary conditions is an ill- posed problem. Then, we establish a stability estimate of Hölder type for this ill-posed problem.
Nguyen Van Duc, Phan Hoai Linh
doaj   +1 more source

The quasi-boundary value regularization method for identifying the initial value with discrete random noise

Boundary Value Problems, 2018
In this paper, we study an inverse initial value problem for the fractional diffusion equation with discrete noise. This problem is ill-posed in the sense of Hadamard.
Fan Yang, Yan Zhang, Xiao-Xiao Li, Can-Yun Huang   +3 more
doaj   +1 more source

A quasi-boundary value regularization method for the spherically symmetric backward heat conduction problem

Open Mathematics, 2023
In this article, we investigate a spherically symmetric backward heat conduction problem, starting from the final temperature. This problem is severely ill posed: the solution (if it exists) does not depend continuously on the final data.
Cheng Wei, Liu Yi-Liang
doaj   +1 more source

Copper‐based Materials for Photo and Electrocatalytic Process: Advancing Renewable Energy and Environmental Applications

Advanced Functional Materials, EarlyView.
Cu‐based catalysts as a cornerstone in advancing sustainable energy technologies are fully reviewed in this manuscript, highlighting their potential in photo‐ and electrocatalysis. It includes metallic copper, copper oxides, copper sulfides, copper halide perovskites, copper‐based metal–organic frameworks (MOFs), and covalent organic frameworks (COFs),
Jéssica C. de Almeida, Yanjie Wang, Thais A. Rodrigues, Paulo H. H. Nunes, Vagner R. de Mendonça, Paulo H. E. Falsetti, Leticia V. Savazi, Tao He, Alexandra V. Bardakova, Aida V. Rudakova, Jie Tian, Alexei V. Emeline, Osmando F. Lopes, Antonio Otavio T. Patrocínio, Jia Hong Pan, Caue Ribeiro, Detlef W. Bahnemann   +16 more
wiley   +1 more source