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數(shù)學學院
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近三年研究成果(原華南研究院文章)


1. 研究院承擔的國家、地方科研任務和經(jīng)費情況

項目類別

項目數(shù)

經(jīng)費總額(萬)

國家級課題

4

150

省部級課題

2

10

市廳級課題

0

0

橫向課題

3

28

 

2. 研究院主要成員近三年獲得的科研項目

(1)  國家自然科學基金面上項目,,負責人:吳楚芬,,2021.01-2024.12,反應擴散系統(tǒng)與非局部擴散系統(tǒng)在移動生境下的傳播理論及其應用,;

(2)  國家自然科學基金青年項目,,負責人:苗晴,2021.01-2023.12,,基于多輸入多輸出環(huán)路濾波器多比特Sigma Delta調制器的最優(yōu)設計方法研究,;

(3)  國家自然科學基金青年項目,負責人:方志偉,,2022.01-2024.12,,時空變分數(shù)階擴散方程的快速數(shù)值算法研究;

(4)  國家自然科學基金青年項目,,負責人:馮瑩瑩,,2019.01-2021.12,兩類正則半群的 KT-極小同余網(wǎng)研究,;

(5)  教育部人文社科項目,,負責人:熊彥,2018.07-2021.12,,中國居民健康不平等的水平,、結構與改善對策;

(6)  廣東省“海外名師”項目,,負責人:歐陽正勇,,2022.08-2023.09,分數(shù)階相場方程保物理性質的快速數(shù)值算法研究,;

(7)  橫向課題,,負責人:戎海武,2022,,不完備信息環(huán)境的SAR圖像仿真,,10萬元;

(8)  橫向課題,,負責人:戎海武,,2021,中科院自動化研究所,,12萬元,;

(9)  橫向課題,負責人:熊彥,,2021,,佛山市順德統(tǒng)計局,6萬元.

(10)  廣東省研究生教育創(chuàng)新計劃項目, 負責人:歐陽正勇,,2022.01-2024.12,,數(shù)學專業(yè)教育碩士“三方協(xié)同”人才培養(yǎng)模式研究,3萬元,;


3. 研究院主要成員近三年發(fā)表的主要論文論著目錄

(1)  曾崢, 楊豫暉, 李善佳. 數(shù)學教育學[M]. 北京師范大學出版社,2022.  

(2)  楊豫暉, 李鐵安. 2022版數(shù)學課程標準案例式解讀:小學數(shù)學[M]. 華東師范大學出版社,2022.

(3)  Chufen Wu(吳楚芬), Zhaoquan Xu, Propagation dynamics in a heterogeneousreaction-diffusion system under a shifting environment, J. Dynam. DifferentialEquations  35 (2023) 493–521.

(4)  Zunxian Li, Yongli Song, Chufen Wu(吳楚芬),Turing instability and Hopf bifurcation of a spatially discretizeddiffusive Brusselator model with zero-flux boundary conditions, NonlinearDynamics, 2022.

(5)  Dawei Zhang, Yun Huang, Chufen Wu(吳楚芬), Jianshe Yu, Dynamics of a predator-stage structured model withcannibalism, degenerate diffusion and free boundaries, The Journal of GeometricAnalysis, 2022, .

(6)  Chufen Wu(吳楚芬),Zhaoquan Xu,Spatial dynamics  in anon-local lattice competition modelunder shifting ranges, Appl. Math. Comp. 430 (2022)172769.

(7)  Zhaoquan Xu(吳楚芬), Chufen Wu*, Propagation dynamics in a nonlocal delayed latticedynamical system with bistable nonlinearity, J. Math. Phys. 63(4) (2022) 42702.

(8)  Jia-Bing Wang, Shao-Xia Qiao, Chufen Wu(吳楚芬)*, Wave phenomena in a compartmental epidemic model with nonlocaldispersal and relapse, Disc. Contin. Dyn. Sys. B 27(5), 2022, 2635–2660.

(9)  Ze-HaoWu Feiqi Deng, Bao-Zhu Guo,ChufenWu(吳楚芬), and QiaominXiang Backstepping activedisturbance rejection control for lower triangular nonlinear systems withmismatched stochastic disturbances, IEEE Transactions on Systems, Man, andCybernetics: Systems  52 (4), 2022, 2688-2702.

(10)  Qing Miao(苗晴),B.W.K. Ling,H.H.H. Dam. Optimal design of bothmulti-input multi-output loop filter and multi-input single-output reconstruction filter of sigma delta modulator. International Journal of Circuit Theory and Applications, 2022,50(12):4265-4276.

(11)  Zhi-Wei Fang(方志偉),Jia-Li Zhang,Hai-Wei Sun. A fast finite volume method for spatial fractional diffusionequations on nonuniform meshes. Computers & Mathematics with Applications,2022,108(4):175-184.

(12)  Zhang, J.-L., Fang, Z.-W.(方志偉,,通訊), & Sun, H.-W., Robust fast method for variable-ordertime-fractional diffusion equations without regularity assumptions of the truesolutions. Applied Mathematics and Computation, 430, (2022) 127273.

(13)  Zhang, Q., Sun, C., Fang, Z. (方志偉,通訊), & Sun, H., Pointwise error estimate and stabilityanalysis of fourth-order compact difference scheme for time-fractional Burgers’equation. Applied Mathematics and Computation, 418, (2022) 126824.

(14)  Qiaoming Xiang, Pengxian Zhu, ChufenWu(吳楚芬)*, Chaos analysis for a class of hyperbolicequations with nonlinear boundary conditions, Applicable  Analysis 101(4) (2022)  1383-1395.

(15)  Q.Miao(苗晴),J.H. Wei, J.Q. Wang, Y.Y. Chen. Fault Diagnosis Algorithm Based on AdjustableNonlinear PI State Observer and Its Application in UAV Fault Diagnosis,ALGORITHMS,2021,14,1-12.

(16)  Zhi-Wei Fang(方志偉),Xue-Lei Lin,Michael Ng,and Hai-Wei Sun. Preconditioning for symmetric positive definite systems in balanced fractional diffusion equations. Numerische Mathematik,2021,147(3):651-677.

(17)  Xin Lu,Zhi-Wei Fang(方志偉), and Hai-Wei Sun.Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations. Journal of Applied Mathematics andComputing,2021,66(1-2): 673-700.

(18)  Chufen Wu(吳楚芬),Yong Yang, Zehao Wu, Existence and uniqueness of forced waves in a delayedreaction-diffusion equation in a shifting environment, Nonlinear Analysis: RealWorld Applications 57 (2021) 103198.    

(19)  Jiabing Wang, Chufen Wu(吳楚芬), Forced waves and gap formations for a Lotka–Volterra competitionmodel with nonlocal dispersal and shifting habitats, Nonlinear Analysis: RealWorld Applications 58 (2021) 103208   27

(20)  Wenzhang Huang, Chufen Wu(吳楚芬)*, Non-monotone waves of a stage-structured SLIRM epidemic modelwith latent period, Proc. Roy. Soc. Edinburgh Sect. A, Proceedings of the RoyalSociety of Edinburgh: Section A Mathematics 151 (2021) 1407-1442.

(21)  馮瑩瑩,熊彥. 基于系統(tǒng)思維的幾類可解微分方程教學設計[J]. 高等數(shù)學研究,,2022.07,,111– 112.

(22)  李靜依,吳統(tǒng)勝. 數(shù)列型不等式的一般求解策略[J]. 中學數(shù)學研究(華南師范大學版),2022(20):43-47.

(23)  李靜依,洪銳敏,彭上觀. 基于綜合難度系數(shù)模型的數(shù)學高考試題比較研究[J]. 中學數(shù)學研究(華南師范大學版),2022.12.

(24)  馮瑩瑩, 商宇. 具有逆斷面的正則半群上與格林關系有關的同余[J]. 華南師范大學學報(自然科學版),2021,53(5):103-107.

(25)  Zhengyong Ouyang(歐陽正勇), Antti Rasila and Tiantian Guan. The Weak Min-Max Property in Banach Spaces. Mathematica Scandinavica,2022,128:355–364.

(26)  Zhengyong Ouyang(歐陽正勇), Weihua Huang and Minzhi Wei. Existence and Uniqueness of Periodic and Solitary Waves for a Perturbed Generalized KdV Equation. Journal of Mathematics,2022, Article ID 5488473,  .

(27)  Li, Mengling, Ouyang, Zhengyong(歐陽正勇),  Deng, Feiqi*, Wu, Ze-Hao. Communications in Nonlinear Science & Numerical Simulation, 2021, 99(prepublish): 105796.

(28)  Lv, Chunwan, Ouyang, Zhengyong(歐陽正勇), Wu, Zehao*, Deng, Feiqi, Xiao, Mingqing. Science China Information Sciences, 2022, 65(6): 162208.


4. 研究院主要成員近三年獲得的學術獎勵情況

(1)  吳楚芬,融合聯(lián)盟鏈與內生安全的分布式存儲編碼理論與系統(tǒng),,中國商業(yè)聯(lián)合會服務業(yè)科技創(chuàng)新獎,,一等獎,2022.

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