Results 191 to 200 of about 28,903,831 (255)

Navigating the Dual Pandemics: Challenges to Faculty Diversity and Student Success

New Directions for Community Colleges, EarlyView.
Lorenzo Baber, Karla Velasco, Jeongsan Hwang, Gianina Baker   +3 more
wiley   +1 more source

A mollification method for ill-posed problems

Numerische Mathematik, 1994
The author develops a general theory of mollification for approximate solution of ill-posed linear problems in Banach space. For a given family of subspaces on which the problem is well-posed the idea is to construct a corresponding family of mollification operators which map the problem into a well-posed problem on the subspace.
Ðinh Nho Hào
semanticscholar   +5 more sources

A mollification method with Dirichlet kernel to solve Cauchy problem for two-dimensional Helmholtz equation

International Journal of Wavelets, Multiresolution and Information Processing, 2019
In this paper, the ill-posed Cauchy problem for the Helmholtz equation is investigated in a strip domain. To obtain stable numerical solution, a mollification regularization method with Dirichlet kernel is proposed. Error estimate between the exact solution and its approximation is given.
Shangqin He, Xiufang Feng
semanticscholar   +3 more sources

The mollification method based on a modified operator to the ill-posed problem for 3D Helmholtz equation with mixed boundary

Applied Numerical Mathematics, 2020
In this work, a Cauchy problem for the 3D Helmholtz equation with mixed boundary is studied. The mollification method based on modified bivariate de la Vallée Poussin operator to solve the stated Cauchy problem is used. It is verified that the considered method is stable. The paper is organized as follows. Section 1 is an introduction.
Shangqin He, Congna Di, Yang Li
semanticscholar   +3 more sources

The Mollification Method and the Numerical Solution of an Inverse Heat Conduction Problem

SIAM Journal on Scientific and Statistical Computing, 1981
We show how the inverse problem can be stabilized by reconstructing a slightly “blurred” image of the unknowns. The numerical problem is solved with an absolute minimum of computation and the proposed method is favorably compared against others commonly in use.
Diego A. Murio
semanticscholar   +3 more sources

A numerical scheme based on discrete mollification method using Bernstein basis polynomials for solving the inverse one-dimensional Stefan problem

Inverse Problems in Science and Engineering, 2020
This paper concerns a one-phase inverse Stefan problem in one-dimensional space. The problem is ill-posed in the sense that the solution does not depend continuously on the data.
Soheila Bodaghi, Ali Zakeri, Amir Amiraslani   +2 more
semanticscholar   +3 more sources

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A Mollification Method for Backward Time-Fractional Heat Equation

Acta Mathematica Vietnamica, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Van Duc, Nguyen, Muoi, Pham Quy, Van Thang, Nguyen   +2 more
semanticscholar   +3 more sources

A mollification regularization method for unknown source in time-fractional diffusion equation

International Journal of Computer Mathematics, 2013
In the present paper, we consider an inverse source problem for a fractional diffusion equation. This problem is ill-posed, i.e. the solution (if it exists) does not depend continuously on the data. We give the mollification regularization method to solve this problem.
Fan Yang, Chu‐Li Fu, Xiaoxiao Li
semanticscholar   +3 more sources

Estimation of kinetic parameters of composite materials during the cure process by using wavelet transform and mollification method

International Communications in Heat and Mass Transfer, 2011
Abstract In some inverse problem, the convergence of the inverse algorithm is impossible due to the correlation of the involving parameters. Several different approaches have been used to address this problem. This paper proposes a procedure to smooth the temperature data by wavelet transform and mollification method prior to utilizing the Levenberg ...
S.D. Farahani, Mostafa Sefidgar, Farshad Kowsary   +2 more
semanticscholar   +3 more sources

The Smoothing of Temperature Data Using the Mollification Method in Heat Flux Estimating

Numerical Heat Transfer, Part A: Applications, 2010
This article proposes a procedure to mollify the temperature data prior to utilizing the inverse heat conduction problem methods for unknown heat flux estimation. The measured transient temperature data may be obtained from locations inside the body or on its inactive boundaries.
Farshad Kowsary, S.D. Farahani
semanticscholar   +3 more sources