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BLOCK BASED NEWTON-LIKE BLENDING INTERPOLATION

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Journal of Computational Mathematics 2006年第4期24卷 515-526页

作者： Qian-jin Zhao jie-qing tan School of Computer and Information Hefei University of Technology Hefei 230009 China Department of Mathematics and Physics Anhui University of Science and Technology Huainan 232001 China Institute of Applied Mathematics Hefei University of Technology Hefei 230009 China

Newton＇s polynomial interpolation may be the favourite linear interpolation in the sense that it is built up by means of the divided differences which can be calculated recursively and produce useful intermediate results. However Newton interpolation is in fact point based interpolation since a new interpolating polynomial with one more degree is obtained by adding a new support point into the current set of support points once at a time. In this paper we extend the point based interpolation to the block based interpolation. Inspired by the idea of the modern architectural design, we first divide the original set of support points into some subsets （blocks）, then construct each block by using whatever interpolation means, linear or rational and finally assemble these blocks by Newton＇s method to shape the whole interpolation scheme. Clearly our method offers many flexible interpolation schemes for choices which include the classical Newton＇s polynomial interpolation as its special case. A bivariate analogy is also discussed and numerical examples are given to show the effectiveness of our method.

关键词： Interpolation Block based divided differences Blending method.

Prescribed Performance Control of One-DOF Link Manipulator With Uncertainties and Input Saturation Constraint

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IEEE/CAA Journal of Automatica Sinica 2019年第1期6卷 148-157页

作者： Yang Yang jie tan Dong Yue IEEE the College of Automation and the College of Artificial Intelligence Nanjing University of Posts and Telecommunications the Institute of Advanced Technology and Jiangsu Engineering Laboratory of Big Data Analysis and Control for Active Distribution Network Nanjing University of Posts and Telecommunications

In this paper, we mainly address the position control problem for one-degree of freedom(DOF) link manipulator despite uncertainties and the input saturation via the backstepping technique, active disturbance rejection control(ADRC) as well as predefined tracking performance functions. The extended state observer(ESO) is employed to compensate uncertain dynamics and disturbances, and it does not rely on the accurate model of systems. The tracking differentiator(TD) is utilized to substitute the derivative of the virtual control signals, and the explosion of complexity caused by repeated differentiations of nonlinear functions is removed. The auxiliary system is used to deal with the control input limitation, and the tracking accuracy and speed are improved by predefined tracking performance *** the help of the input-to-state stability(ISS) and Lyapunov stability theories, it is proven that the tracking error can be gradually converged into arbitrarily small neighborhood of the origin, and the tracking error is adjusted by suitable choice of control parameters. The simulation results are presented for the verification of the theoretical claims.

关键词： Active disturbance rejection control (ADRC) auxiliary system backstepping technique input saturation predefined tracking performance function

Defect Luminescence Based Persistent Phosphors—From Controlled Synthesis to Bioapplications

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Chinese Journal of Chemistry 2021年第12期39卷 3188-3198页

作者： Calling Ji jie tan Quan Yuan Institute of Chemical Biology and Nanomedicine State Key Laboratory of Chemo/Biosensing and ChemometricsCollege of Chemistry and Chemical EngineeringHunan UniversityChangshaHunan 410082China

Persistent luminescence is an optical phenomenon where solid phosphors can store photoenergy in defects and release the energy by luminescence after stopping *** to the intriguing optical characteristics,the defect luminescence based persistent phosphors have attracted enormous attention in recent decades,especially in biomedical fields such as biosensing and *** luminescence nanoparticles(PLNPs)can effectively avoid the autofluorescence interference from complex samples or tissues,leading to significantly improved sensitivity in biological *** this review,we summarized the methods to control the optical performance of PLNPs from the perspectives of controlled synthesis and defect regulation,and emphasized the close relationship between their optical performance and *** further provided a summary about a series of PLNPs nanoprobes designed by our group for biosensing and *** efforts,summarized in this review,will not only open a window for manipulating luminescence in PLNPs,but also further promote the application of PLNPs in biomedicine.

关键词： Luminescence Nanoparticles Persistent phosphors Synthesis design Bioapplication

The Climate Response to Global Forest Area Changes under Different Warming Scenarios in China

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Advances in Atmospheric Sciences 2023年第6期40卷 1073-1088页

作者： Ying HUANG Anning HUANG jie tan School of Atmospheric Sciences Nanjing UniversityNanjing 210023China Frontiers Science Center for Critical Earth Material Cycling Nanjing UniversityNanjing 210023China Glarun Technology Co. Ltd.Nanjing 211106China

Human activities have notably affected the Earth’s climate through greenhouse gases(GHG), aerosol, and land use/land cover change(LULCC). To investigate the impact of forest changes on regional climate under different shared socioeconomic pathways(SSPs), changes in surface air temperature and precipitation over China under low and medium/high radiative forcing scenarios from 2021 to 2099 are analyzed using multimodel climate simulations from the Coupled Model Intercomparison Project Phase 6(CMIP6). Results show that the climate responses to forest changes are more significant under the low radiative forcing scenario. Deforestation would increase the mean, interannual variability, and the trend of surface air temperature under the low radiative forcing scenario, but it would decrease those indices under the medium/high radiative forcing scenario. The changes in temperature show significant spatial heterogeneity. For precipitation, under the low radiative forcing scenario, deforestation would lead to a significant increase in northern China and a significant decrease in southern China, and the effects are persistent in the near term(2021–40), middle term(2041–70), and long term(2071–99). In contrast, under the medium/high radiative forcing scenario, precipitation increases in the near term and long term over most parts of China, but it decreases in the middle term, especially in southern, northern,and northeast China. The magnitude of precipitation response to deforestation remains comparatively small.

关键词： land use/land cover change deforestation radiative forcing scenario regional climate

Global synchronization of discrete-time coupled neural networks with Markovian switching and impulses

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International Journal of Biomathematics 2016年第3期9卷 157-176页

作者： jie tan Chuandong Li College of Electronic and Information EngineeringSouthwest University Chongqing 400715 P. R. China College of Mathematics and PhysicsChongqing University of Science and Technology Chongqing 401331 P. R. China

This paper is concerned with the problem of synchronization anMysis for discrete-time coupled neural networks. The networks under consideration are subject to：（1） the jump- ing parameters that are modeled as a continuous-time, discrete-state Markov process; （2） impulsive disturbances; and （3） time delays that include both the mode-dependent discrete and distributed delay. By constructing suitable Lyapuno-Krasovskii functional and combining with linear matrix inequality approach, several novel criteria are derived for verifying the global exponential synchronization in the mean square of such stochas- tic dynamical networks. The derived conditions are established in terms of linear matrix inequalities, which can be easily solved by some available software packages. A simu- lation example is presented to show the effectiveness and applicability of the obtained results,

关键词： Global synchronization coupled neural networks Markovian switching impulses.

Physically-based fluid animation:A survey

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Science in China(Series F) 2009年第5期52卷 723-740页

作者： tan jie YANG XuBo MOE-Microsoft Laboratory for Intelligent Computing and Intelligent Systems Department of Computer Science Shanghai Jiao Tong University Shanghai 200240 China School of Software Shanghai Jiao Tong University Shanghai 200240 China

In this paper, we give an up-to-date survey on physically-based fluid animation research. As one of the most popular approaches to simulate realistic fluid effects, physically-based fluid animation has spurred a large number of new results in recent years. We classify and discuss the existing methods within three categories： Lagrangian method, Eulerian method and Lattice-Boltzmann method. We then introduce techniques for seven different kinds of special fluid effects. Finally we review the latest hot research areas and point out some future research trends, including surface tracking, fluid control, hybrid method, model reduction, etc.

关键词： physically-based animation Navier-Stokes equations finite difference method smoothed particle hydrodynamics Lattice-Boltzmannmethod particle level set

Revitalization of Rural Areas in the New Era:Seeking for Rural Roots and New Rural Appearance-On Qiao Ye's Baoshui Village

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Frontiers of Literary Studies in China-Selected Publications from Chinese Universities 2023年第4期17卷 358-364页

作者： tan jie Department of Teaching and Research Lu Xun Research InstituteBeijing 100872China

With the implementation and advancement of the rural revitalization strategyyin China,literary works rooted in themes such as poverty alleviation and new rural construction have been constantly emerging in recent *** focus on aspects like mutual aid between urban and rural areas or learning from experience in poverty alleviation through new rural *** doing so,they reveal the great transformations made to villages,villagers’spiritual outlook,and shifts in traditional *** work has its unique feature.

关键词： Rural mutual Revit

Statistical potentials for 3D structure evaluation:From proteins to RNAs

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Chinese Physics B 2021年第2期30卷 103-115页

作者： Ya-Lan tan Chen-jie Feng Xunxun Wang Wenbing Zhang Zhi-jie tan Department of Physics and Key Laboratory of Artificial Micro&Nano-structures of Education School of Physics and TechnologyWuhan UniversityWuhan 430072China

Structure evaluation is critical to in silico 3-dimensional structure predictions for biomacromolecules such as proteins and *** proteins,structure evaluation has been paid attention over three decades along with protein folding problem,and statistical potentials have been shown to be effective and efficient in protein structure prediction and *** recent two decades,RNA folding problem has attracted much attention and several statistical potentials have been developed for RNA structure evaluation,partially with the aid of the progress in protein structure *** this review,we will firstly give a brief overview on the existing statistical potentials for protein structure ***,we will introduce the recently developed statistical potentials for RNA structure ***,we will emphasize the perspective on developing new statistical potentials for RNAs in the near future.

关键词： statistical potential 3-dimensional structure evaluation RNA protein

Current Advances in Aptamer-based Biomolecular Recognition and Biological Process Regulation

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Chemical Research in Chinese Universities 2022年第4期38卷 847-855页

作者： CHEN Sisi ZHANG Lei YUAN Quan tan jie Molecular Science and Biomedicine Laboratory(MBL) Institute of Chemical Biology and Nanomedicine(ICBN)State Key Laboratory of Chemo/Biosensing and ChemometricsCollege of Chemistry and Chemical EngineeringHunan UniversityChangsha410082P.R.China

The interaction between biomolecules with their target ligands plays a great role in regulating biological *** are short oligonucleotide sequences that can specifically recognize target biomolecules via structural complementarity and thus regulate related biological *** the past ten years,aptamers have made great progress in target biomolecule recognition,becoming a powerful tool to regulate biological *** present,there are many reviews on aptamers applied in biomolecular recognition,but few reviews pay attention to aptamer-based regulation of biological ***,we summarize the approaches to enhancing aptamer affinity and the advancements of aptamers in regulating enzymatic activity,cellular immunity and cellular ***,this review discusses the challenges and future perspectives of aptamers in target recognition and biological functions regulation,aiming to provide some promising ideas for future regulation of biomolecular functions in a complex biological environment.

关键词： functions. complementarity enzymatic