DISCRETIZATION

作品数:234被引量:298H指数:7
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相关作者:张亮施伯乐陈晓云万定生张彦哲更多>>
相关机构:复旦大学河海大学清华大学兰州大学更多>>
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Partial Solution Operator Discretization-Based Methods for Efficiently Computing Least-Damped Eigenvalues of Large Time Delayed Power Systems
《CSEE Journal of Power and Energy Systems》2025年第2期671-682,共12页Hua Ye Xiaofan Jia Muyang Liu Yutian Liu Sicong Zhang 
supported in part by the National Natural Science Foundation of China(No.51677107,52077126)。
To investigate impact of time delays on the small signal stability of power systems, the least-damped eigenvalues with the smallest damping ratios have been calculated by eigen-analysis methods based on Solution Opera...
关键词:Eigenvalue analysis low frequency oscillation Schur complement decomposition small signal stability solution operator discretization spectral discretization time delay wide-area measurement system 
A CELL-CENTERED MULTIGRID SOLVER FOR THE FINITE VOLUME DISCRETIZATION OF ANISOTROPIC ELLIPTIC INTERFACE PROBLEMS ON IRREGULAR DOMAINS
《Journal of Computational Mathematics》2025年第1期18-42,共25页Kejia Pan Xiaoxin Wu Hongling Hu Zhilin Li 
supported by the National Natural Science Foundation of China(Grant No.42274101);X.X.Wu was supported by the Fundamental Research Funds for the Central Universities of Central South University(Grant No.2020zzts354);H.L.Hu was supported by the National Natural Science Foundation of China(Grant No.12071128);by the Natural Science Foundation of Hunan Province(Grant No.2021JJ30434);Z.L.Li was supported by a Simons Grant No.633724.
The aim of this paper is to develop a fast multigrid solver for interpolation-free finite volume (FV) discretization of anisotropic elliptic interface problems on general bounded domains that can be described as a uni...
关键词:Elliptic interface problem Discontinuous coefficients Anisotropic coefficients Cascadic multigrid method Richardson extrapolation 
Low-energy Earth–Moon transfer autonomous guidance considering high-fidelity orbital dynamics
《Astrodynamics》2024年第4期689-701,共13页Chi Wang Wei Liu Yang Gao 
supported by the Strategic Priority Research Program of the Chinese Academy of Sciences(No.XDA30010400);the Youth Innovation Promotion Association of the Chinese Academy of Sciences(No.292020000040).
This technical note presents a practical approach to low-energy Earth–Moon transfer autonomous guidance considering high-fidelity orbital dynamics.Initially,autonomous guidance,delineated as a trajectory-tracking pro...
关键词:low-energy Earth-Moon transfer autonomous guidance trajectory tracking linearization and discretization differential-correction-based guidance 
A Stable FE-FD Method for Anisotropic Parabolic PDEs with Moving Interfaces
《Communications on Applied Mathematics and Computation》2024年第2期992-1012,共21页Baiying Dong Zhilin Li Juan Ruiz-Alvarez 
partially supported by the National Natural Science Foundation of China(Grant No.12261070);the Ningxia Key Research and Development Project of China(Grant No.2022BSB03048);partially supported by the Simons(Grant No.633724)and by Fundacion Seneca grant 21760/IV/22;partially supported by the Spanish national research project PID2019-108336GB-I00;by Fundacion Séneca grant 21728/EE/22.Este trabajo es resultado de las estancias(21760/IV/22)y(21728/EE/22)financiadas por la Fundacion Séneca-Agencia de Ciencia y Tecnologia de la Region de Murcia con cargo al Programa Regional de Movilidad,Colaboracion Internacional e Intercambio de Conocimiento"Jimenez de la Espada".(Plan de Actuacion 2022).
In this paper,a new finite element and finite difference(FE-FD)method has been developed for anisotropic parabolic interface problems with a known moving interface using Cartesian meshes.In the spatial discretization,...
关键词:Anisotropic parabolic interface problem Hybrid finite element and finite difference(FE-FD)discretization Modified Crank Nicolson scheme 
Spatial dynamics of a reaction-diffusion SIS epidemic model with mass-action-type nonlinearity
《International Journal of Biomathematics》2024年第4期75-104,共30页Renhu Wang Xuezhong Wang 
supported by the NNSF of China(Grant No.12061032).
This work is devoted to investigate the global asymptotic stability of equilibriums for a reaction-diffusion susceptible-infected-susceptible(SIS)epidemic model with spatial heterogeneity and mass-action-type nonlinea...
关键词:DISCRETIZATION basic reproduction number Lyapunov functional global stability spatial heterogeneity 
Dynamical analysis and chaos control of a fractional-order Leslie-type predator-prey model with Caputo derivative
《International Journal of Biomathematics》2024年第4期105-131,共27页Seval Isik Figen Kangalgil 
In this paper,the dynamical behaviors of a discrete-time fractional-order population model are considered.The stability analysis and the topological classification of the model at the fixed point have been investigate...
关键词:FRACTIONAL-ORDER predator-prey model DISCRETIZATION BIFURCATION CHAOS 
A Priori Error Analysis for NCVEM Discretization of Elliptic Optimal Control Problem
《Engineering(科研)》2024年第4期83-101,共19页Shiying Wang Shuo Liu 
In this paper, we propose the nonconforming virtual element method (NCVEM) discretization for the pointwise control constraint optimal control problem governed by elliptic equations. Based on the NCVEM approximation o...
关键词:Nonconforming Virtual Element Method Optimal Control Problem a Priori Error Estimate 
Full Dynamic Model for Liquid Sloshing Simulation in Cylindrical Tank Shape
《World Journal of Mechanics》2024年第4期55-72,共18页Omar Noui Mohamed Bouazara Marc J. Richard 
This study presents a comprehensive full dynamic model designed for simulating liquid sloshing behavior within cylindrical tank structures. The model employs a discretization approach, representing the liquid as a net...
关键词:Fluid-Structure Interaction Equivalent Mechanical Model Liquid Discretization Spring-Mass Model Spring-Mass Network Liquid Simulation 
A Convergent Numerical Algorithm for the Stochastic Growth-Fragmentation Problem
《Annals of Applied Mathematics》2024年第1期71-104,共34页Dawei Wu Zhennan Zhou 
partially supported by the National Key R&D Program of China,Project No.2020YFA0712000;NSFC Grant No.12031013 and 12171013.
The stochastic growth-fragmentation model describes the temporal evolution of a structured cell population through a discrete-time and continuous-state Markov chain.The simulations of this stochastic process and its i...
关键词:Growth-fragmentation model Markov chain numerical approximation space discretization convergence rate 
Linear Quadratic Optimal Control for Systems Governed by First-Order Hyperbolic Partial Differential Equations
《Journal of Systems Science & Complexity》2024年第1期230-252,共23页XUE Xiaomin XU Juanjuan ZHANG Huanshui 
supported by the National Natural Science Foundation of China under Grant Nos.61821004 and 62250056;the Natural Science Foundation of Shandong Province under Grant Nos.ZR2021ZD14 and ZR2021JQ24;Science and Technology Project of Qingdao West Coast New Area under Grant Nos.2019-32,2020-20,2020-1-4,High-level Talent Team Project of Qingdao West Coast New Area under Grant No.RCTDJC-2019-05;Key Research and Development Program of Shandong Province under Grant No.2020CXGC01208.
This paper focuses on linear-quadratic(LQ)optimal control for a class of systems governed by first-order hyperbolic partial differential equations(PDEs).Different from most of the previous works,an approach of discret...
关键词:Discretization-then-continuousization method first-order hyperbolic partial differential equations forward and backward partial difference equations linear quadratic optimal control. 
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