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ERROR ANALYSIS OF FRACTIONAL COLLOCATION METHODS FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH NONCOMPACT OPERATORS
《Journal of Computational Mathematics》2025年第3期690-707,共18页Zheng Ma Chengming Huang Anatoly A.Alikhanov 
supported by the National Natural Science Foundation of China(Grant No.12171177);supported by the Russian Science Foundation(Grant No.23-41-00037).
This paper is concerned with the numerical solution of Volterra integro-differential equations with noncompact operators.The focus is on the problems with weakly singular solutions.To handle the initial weak singulari...
关键词：Volterra integro-differential equation Noncompact operator Nonsmooth solution Collocation method Fractional polynomial hp-version error analysis 
ERROR ANALYSIS OF VIRTUAL ELEMENT METHODS FOR THE TIME-DEPENDENT POISSON-NERNST-PLANCK EQUATIONS
《Journal of Computational Mathematics》2025年第3期731-770,共40页Ying Yang Ya Liu Yang Liu Shi Shu 
supported by the China NSF(NSFC 12161026);by the Special Fund for Scientific and Technological Bases and Talents of Guangxi(Grant No.Guike AD23026048);by the Guangxi Natural Science Foundation,China(Grant No.2020GXNSFAA159098);supported by the China NSF(NSFC 12371373);supported by the GUET Excellent Graduate Thesis Program(Grant No.2020YJSPYA02).
We discuss and analyze the virtual element method on general polygonal meshes for the time-dependent Poisson-Nernst-Planck(PNP)equations,which are a nonlinear coupled system widely used in semiconductors and ion chann...
关键词：Virtual element method Error estimate Poisson-Nernst-Planck equations Polygonal meshes Energy projection Gummel iteration 
Error Analysis of MSAV Scheme for Two Phase Magnetohydrodynamic Diffuse Interface Model
《应用数学》2025年第2期348-371,共24页HU Kun WANG Danxia ZHANG Jianwen JIA Hongen 
Research Project Supported by Shanxi Scholarship Council of China(2021-029);International Cooperation Base and Platform Project of Shanxi Province(202104041101019);Basic Research Plan of Shanxi Province(202203021211129)。
In this paper,we develop a multi-scalar auxiliary variables(MSAV)scheme for the Cahn-Hilliard Magnetohydrodynamics system by introducing two scalar auxiliary variables(SAV).This scheme is linear,fully decoupled and un...
关键词：Cahn-Hilliard Magnetohydrodynamics system Fully decoupled Stability in energy Error analysis 
Total Station-Reflective Target Pier Deviation Measurement Error Control
《Journal of World Architecture》2025年第2期92-97,共6页Shi’ao Shi Ming Kou Yuting Cheng Zhenbang Lu Zihao Peng 
In bridge engineering,monitoring pier offsets is crucial for ensuring both structural safety and construction quality.The total station measurement method using a reflector is widely employed,offering significant adva...
关键词：REFLECTOR Total station Pier deviation measuring point Error analysis 
REGULARITY THEORY AND NUMERICAL ALGORITHM FOR THE TIME-FRACTIONAL KLEIN-KRAMERS EQUATION
《Journal of Computational Mathematics》2025年第2期257-279,共23页Jing Sun Daxin Nie Weihua Deng 
supported by the National Natural Science Foundation of China(Grant Nos.12201270,12071195,12225107);by the Innovative Groups of Basic Research in Gansu Province(Grant No.22JR5RA391);by the Science and Technology Plan of Gansu Province(Grant No.22JR5RA535);by the Major Science and Technology Projects in Gansu Province-Leading Talents in Science and Technology(Grant No.23ZDKA0005);by the Fundamental Research Funds for the Central Universities(Grant No.lzujbky-2022-pd04);by the China Postdoctoral Science Foundation(Grant No.2022M721439).
Fractional Klein-Kramers equation can well describe subdiffusion in phase space.In this paper,we develop the fully discrete scheme for time-fractional Klein-Kramers equation based on the backward Euler convolution qua...
关键词：Time-fractional Klein-Kramers equation Regularity estimate Convolution quadrature Local discontinuous Galerkin method Error analysis 
Real-Time Error Analysis of Multi-Channel Capacitive Voltage Transformer Using Co-Prediction Matrix
《Journal of Power and Energy Engineering》2025年第1期1-17,共17页Jiusong Hu Ao Xiong Yongqi Liu Guaxuan Xiao Yi Zhong 
Capacitive voltage transformers (CVTs) are essential in high-voltage systems. An accurate error assessment is crucial for precise energy metering. However, tracking real-time quantitative changes in capacitive voltage...
关键词：Capacitive Voltage Transformers Co-Prediction Matrix HIGH-VOLTAGE Measurement error 
The Finite Volume Element Method for Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay
《Engineering(科研)》2025年第1期53-72,共20页Anran Li Qing Yang 
In this article, a finite volume element algorithm is presented and discussed for the numerical solutions of a time-fractional nonlinear fourth-order diffusion equation with time delay. By choosing the second-order sp...
关键词：Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay Finite Volume Element Method Caputo-Fractional Derivative Optimal Priori Error Analysis 
ERROR ANALYSIS OF THE SECOND-ORDER SERENDIPITY VIRTUAL ELEMENT METHOD FOR SEMILINEAR PSEUDO-PARABOLIC EQUATIONS ON CURVED DOMAINS
《Journal of Computational Mathematics》2024年第6期1743-1776,共34页Yang Xu Zhenguo Zhou Jingjun Zhao 
supported by the National Natural Science Foundation of China(Grant No.12071100);by the Fundamental Research Funds for the Central Universities(Grant No.2022FRFK060019).
The second-order serendipity virtual element method is studied for the semilinear pseudo-parabolic equations on curved domains in this paper.Nonhomogeneous Dirichlet boundary conditions are taken into account,the exis...
关键词：Semilinear pseudo-parabolic equation Serendipity virtual element method Projection method Curved domain 
NUMERICAL ANALYSIS FOR STOCHASTIC TIME-SPACE FRACTIONAL DIFFUSION EQUATION DRIVEN BY FRACTIONAL GAUSSIAN NOISE
《Journal of Computational Mathematics》2024年第6期1502-1525,共24页Daxin Nie Weihua Deng 
supported by the National Natural Science Foundation of China(Grant Nos.12071195,12301509,12225107);by the Innovative Groups of Basic Research in Gansu Province(Grant No.22JR5RA391);by the Major Science and Technology Projects in Gansu Province-Leading Talents in Science and Technology(Grant No.23ZDKA0005);by the Science and Technology Plan of Gansu Province(Grant No.22JR5RA535);by the Fundamental Research Funds for the Central Universities(Grant No.lzujbky-2023-pd04);by the China Postdoctoral Science Foundation(Grant No.2023M731466).
In this paper,we consider the strong convergence of the time-space fractional diffusion equation driven by fractional Gaussian noise with Hurst index H∈(1/2,1).A sharp regularity estimate of the mild solution and the...
关键词：Fractional Laplacian Stochastic fractional diffusion equation Fractional Gaussian noise Finite element Convolution quadrature Error analysis 
ERROR ANALYSIS FOR PARABOLIC OPTIMAL CONTROL PROBLEMS WITH MEASURE DATA IN A NONCONVEX POLYGONAL DOMAIN
《Journal of Computational Mathematics》2024年第6期1579-1604,共26页Pratibha Shakya 
This paper considers the finite element approximation to parabolic optimal control problems with measure data in a nonconvex polygonal domain.Such problems usually possess low regularity in the state variable due to t...
关键词：A priori and a posteriori error estimates Finite element method Measure data Nonconvex polygonal domain Optimal control problem 
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