云南高校图书馆联盟文献共享服务平台- ILL-POSEDNESS

ILL-POSEDNESS: 作品数：23被引量：14H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关期刊：《Science China Mathematics》《Advances in Applied Mathematics and Mechanics》《Journal of Traffic and Transportation Engineering》《International Journal of Modeling, Simulation, and Scientific Computing》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划更多>>

On the Cauchy Problem for Mildly Nonlinear and Non-Boussinesq Case-(ABC) System: 《Journal of Applied Mathematics and Physics》2024年第4期1286-1307,共22页Luhang Zhou; In this paper, we investigate the local well-posedness, ill-posedness, and Gevrey regularity of the Cauchy problem for Mildly Nonlinear and Non-Boussinesq case-(ABC) system. The local well-posedness of the solution fo...; 关键词：Local Well-Posedness ILL-POSEDNESS Gevrey Regularity

On The Cauchy Problem for A 1D Euler-Alignment System in Besov Spaces: 《Journal of Applied Mathematics and Physics》2024年第2期603-631,共29页Yaojun Yang; In this paper, we investigate a 1D pressureless Euler-alignment system with a non-local alignment term, describing a kind of self-organizing problem for flocking. As a result, by the transport equation theory and Lagr...; 关键词：Euler-Alignment Equations Local Well-Posedness Blow-Up Criteria ILL-POSEDNESS

Comparisons between Isotropic and Anisotropic TV Regularizations in Inverse Acoustic Scattering: 《Engineering（科研）》2023年第2期106-113,共8页Ping Liu; This article compares the isotropic and anisotropic TV regularizations used in inverse acoustic scattering. It is observed that compared with the traditional Tikhonov regularization, isotropic and anisotropic TV regul...; 关键词：Inverse Acoustic Scattering Problem REGULARIZATION Isotropic TV Anisotropic TV ILL-POSEDNESS

Data Recovery from Cauchy Measurements in Transient Heat Transfer: 《Journal of Mathematical Study》2022年第1期38-53,共16页Thouraya Baranger Nouri Faker Ben Belgacem; We study the ill-posedness degree of the reconstruction processes of missing boundary data or initial states in the transient heat conduction.Both problems are severely ill-posed.This is a powerful indicator about the...; 关键词：Data completion process ill-posedness degree Cauchy matrix convolution equations parabolic regularity

Anisotropic TV Regularization in Electrical Impedance Tomography: An Experimental Study: 《Engineering（科研）》2022年第3期138-146,共9页Yanying Wang; Total variation (TV) regularization method is a typical method to preserve the discontinuities structure in EIT. Isotropic TV and anisotropic TV are two well-known variants of TV. The main differences between them are...; 关键词：Electrical Impedance Tomography Anisotropic Total Variation ILL-POSEDNESS

The Ill-Posedness of Derivative Interpolation and Regularized Derivative Interpolation for Non-Bandlimited Functions: 《Applied Mathematics》2022年第1期87-100,共14页Weidong Chen; In this paper, the ill-posedness of derivative interpolation is discussed, and a regularized derivative interpolation for non-bandlimited signals is presented. The convergence of the regularized derivative interpolati...; 关键词：Nonband-Limited Function Derivative Interpolation ILL-POSEDNESS REGULARIZATION

Solving Severely Ill⁃Posed Linear Systems with Time Discretization Based Iterative Regularization Methods被引量：1: 《Transactions of Nanjing University of Aeronautics and Astronautics》2020年第6期979-994,共16页GONG Rongfang HUANG Qin; supported by the Natural Science Foundation of China (Nos. 11971230, 12071215);the Fundamental Research Funds for the Central Universities(No. NS2018047);the 2019 Graduate Innovation Base(Laboratory)Open Fund of Jiangsu Province(No. Kfjj20190804); Recently,inverse problems have attracted more and more attention in computational mathematics and become increasingly important in engineering applications.After the discretization,many of inverse problems are reduced...; 关键词：linear system ILL-POSEDNESS LARGE-SCALE iterative regularization methods ACCELERATION

Remark on Mild Solution to the 3D Incompressible Micropolar System in Fourier–Herz Framework: 《Acta Mathematica Sinica,English Series》2019年第10期1595-1616,共22页Yao NIE Xiao Xin ZHENG; supported by the National Natural Science Foundation of China(Grant Nos.11501020,11871087 and 11771423); This paper is devoted to investigating the existence and uniqueness of mild solution to the 3D incompressible micropolar fluid system in the Fourier–Herz framework. By taking advantage of microlocal analysis and the ...; 关键词：ILL-POSEDNESS MICROPOLAR SYSTEM Fourier-Herz space norm inflation

A Mixed Regularization Method for Ill-Posed Problems: 《Numerical Mathematics(Theory,Methods and Applications)》2019年第1期212-232,共21页Hui Zheng Wensheng Zhang; This research is supported by the National Natural Science Foundation of China under the grant number 11471328.; In this paper we propose a mixed regularization method for ill-posed prob-lems.This method combines iterative regularization methods and continuous regular-ization methods effectively.First it applies iterative regula...; 关键词：ILL-POSEDNESS continuous regularization iterative regularization mixed regularization optimal order

Fractional Tikhonov Regularization Method for a Time-Fractional Backward Heat Equation with a Fractional Laplacian被引量：1: 《Journal of Partial Differential Equations》2018年第4期333-342,共10页WANG Jianlin XIONG Xiangtuan CAO Xiaoxiao; the Natural Science Foundation of Northwest Normal University,China(No NWNU-LKQN-17-5).; In this paper,we consider a time-fractional backward problem with a fractional Laplacian.We propose a fractional Tikhonov regularization method for solving this problem under the the a-priori parameter choice rule.Err...; 关键词：INVERSE problem ILL-POSEDNESS ERROR ESTIMATE FRACTIONAL REGULARIZATION method

ILL-POSEDNESS