Results 1 to 10 of about 287 (214)

Robust and Fast Normal Mollification via Consistent Neighborhood Reconstruction for Unorganized Point Clouds [PDF]

Sensors, 2023
This paper introduces a robust normal estimation method for point cloud data that can handle both smooth and sharp features. Our method is based on the inclusion of neighborhood recognition into the normal mollification process in the neighborhood of the
Guangshuai Liu, Xurui Li, Si Sun, Wenyu Yi   +3 more
doaj   +4 more sources

A Mollification Regularization Method for the Inverse Source Problem for a Time Fractional Diffusion Equation [PDF]

Mathematics, 2019
We consider a time-fractional diffusion equation for an inverse problem to determine an unknown source term, whereby the input data is obtained at a certain time. In general, the inverse problems are ill-posed in the sense of Hadamard. Therefore, in this
Le Dinh Long, Yong Zhou, Tran Thanh Binh, Nguyen Can   +3 more
doaj   +2 more sources

Homotopy analysis method for discrete quasi-reversibility mollification method of nonhomogeneous backward heat conduction problem

Nonlinear Engineering, 2023
In this article, the inverse time problem is investigated. Regarding the ill-posed linear problem, utilize the quasi-reversibility method first. This problem has been regularized and after that provides an iterative regularizing strategy for noisy input ...
Rahimi Mostafa, Rostamy Davood
doaj   +2 more sources

A mollification based operator splitting method for convection diffusion equations

Computers and Mathematics With Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CARLOS Mejia
exaly   +2 more sources

A mollification regularization method for the inverse spatial-dependent heat source problem

Journal of Computational and Applied Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan Yang, Chu-Li Fu
exaly   +2 more sources

Stabilization of explicit methods for convection diffusion equations by discrete mollification

Computers and Mathematics With Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CARLOS Mejia
exaly   +3 more sources

The Mollification Regularization Method with Truncated Kernels for Solving the Inverse Time-Fractional Schrödinger Problem

Fractal and Fractional
This paper studies an inverse problem associated with the time-fractional Schrödinger equation in a field-free potential. To address the severe ill-posedness of the problem, a mollification regularization method with truncated kernels is employed to ...
Huilin Xu, Fanli Xu, Duanmei Zhou, Rong Zhang   +3 more
doaj   +2 more sources

A General Mollification Regularization Method to Solve a Cauchy Problem for the Multi-Dimensional Modified Helmholtz Equation

Symmetry
This paper considers a Cauchy problem for the multi-dimensional modified Helmholtz equation with inhomogeneous Dirichlet and Neumann data. The Cauchy problem is severely ill-posed, and a general mollification method is introduced to solve the problem. Both the a priori and a posteriori choice strategies of the regularization parameter are proposed, and
Duanmei Zhou, Huilin Xu
exaly   +2 more sources

Identifying a Space-Dependent Source Term and the Initial Value in a Time Fractional Diffusion-Wave Equation

Mathematics, 2023
This paper is focused on the inverse problem of identifying the space-dependent source function and initial value of the time fractional nonhomogeneous diffusion-wave equation from noisy final time measured data in a multi-dimensional case.
Xianli Lv, Xiufang Feng
doaj   +1 more source

Numerical Method for a Cauchy Problem for Multi-Dimensional Laplace Equation with Bilateral Exponential Kernel

Mathematics, 2023
This study examined a Cauchy problem for a multi-dimensional Laplace equation with mixed boundary. This problem is severely ill-posed in the sense of Hadamard.
Xianli Lv, Xiufang Feng
doaj   +1 more source