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数学与系统科学研究院2017年度突出科研成果
2018-03-14 | 编辑:

  

  201814日,我院召开“2017年度突出科研成果评选大会,经我院学术委员会委员评议,共选出102017年度突出科研成果。具体如下: 

    

  获奖成果(按照第一完成人姓名拼音排序): 

    

  1.         戴小英 重特征值问题自适应有限元算法与分析(The design and analysis for adaptive finite element algorithm for multiple eigenvalues 

  成果简介:对一类二阶椭圆算子重特征值问题设计了自适应有限元算法,并证明了该算法具有线性收敛率与最优复杂度。 

  代表论文:Xiaoying Dai, Lianhua He, and Aihui Zhou, Convergence and Quasi-Optimal Complexity of Adaptive Finite element Computations for Multiple Eigenvalues, IMA Journal on Numerical Analysis, Vol.35,1934-1977, 2015. 

    

  2.         郭雷,赵成 PID控制的理论基础(On the Theoretical Foundation of PID Control 

  成果简介:对具有百年历史并在实际工程控制系统中起主导作用的著名PID控制器,首次建立了其控制一类最基本的非线性不确定性动力系统的理论基础,并具体给出控制器参数的设计方法。 

  代表论文:C Zhao and L Guo, PID controller design for second order nonlinear uncertain systems, Science China, Information Sciences, 60(2), 1-13, 2017.  

    

  3.         韩艾,孙玉莹,汪寿阳:区间计量经济模型及其应用研究(Interval Econometrics and Its Applications in Economics and Finance 

  成果简介:在国际上率先构造区间计量模型理论,为区间形式的复杂数据分析提出了全新的计量分析工具。 

  代表论文: 

  ① Wei Yang, Ai Han*, Yongmiao Hong & Shouyang Wang, Analysis of Crisis Impact on Crude Oil Prices: A New Approach with Interval Time Series Modelling, Quantitative Finance, 2016. Published online, DOI: 10.1080/14697688.2016.1211795.  

  ② Ai Han, Yongmiao Hong, Shouyang Wang & Xin Yun, A Vector Autoregressive Moving Average Model for Interval-Valued Time Series Data, Advances in Econometrics, In Essays in Honor of Aman Ullah, 2016, 36: 417-460. 

  ③ Wei Yang, Ai Han*, Shouyang Wang, Analysis of the Interaction Between Crude Oil Price and US Stock Market Based on Interval Data, International Journal of Energy and Statistics, 2013, 1(2): 85-98. 

  ④ Ai Han, K. K. Lai, Shouyang Wang & Shanying Xu, An Interval Method for Studying the Relationship between the Australian Dollar Exchange Rate and the Gold Price, Journal of Systems Science and Complexity, 2012, 25(1): 121-132.  

  ⑤ Yuying Sun, Ai Han, Yongmiao Hong, Shouyang Wang, Threshold Autoregressive Models for Interval-valued Time series Data, Journal of Econometrics, Accepted for Publication. 

    

  4.         李向东 等:超Ricci流上Witten Laplace算子的W-熵公式与Harnack不等式(W-entropy formulas and Harnack inequalities for the Witten Laplacian on super Ricci flows 

  成果简介:在超Ricci流上证明了W-熵的单调性及刚性定理,证明了Harnack不等式并发现了W-熵与Boltzmann熵及Harnack不等式之间的本质联系。 

  代表论文: 

  ① S. Li, X.-D. Li, W-entropy formula for the Witten Laplacian on manifolds with time dependent metrics and potentials, Pacific J. Math.  278 (2015), no.1, 173-199. 

  ② X.-D. Li, Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds, Stochastic Processes and Appl. 126 (2016), no.4, 1264-1283.  

  ③ S. Li, X.-D. Li, Hamilton differential Harnack inequality and W-entropy for Witten Laplacian on Riemannian manifolds, J. Funct. Anal (2017). https://doi.org/10.1016/j.jfa. 2017.09.017  

  ④ S. Li, X.-D. Li, On Harnack inequalities for Witten Laplacian on Riemannian manifolds with super Ricci flows, accepted for publication in Special Issue in honor of Prof. N. Mok’s 60th birthday, Asian J. Math. 2017. 

  ⑤ S. Li, X.-D. Li, W-entropy formulas on super Ricci flows and Langevin deformation on Wasserstein space over Riemannian manifoldsinvited paper submitted to Sci. China Maths. 2017.   

    

  5.         万昕 等:岩泽理论和BSD猜想(Iwasawa theory and BSD conjecture 

  成果简介:证明了岩泽主猜想的一些情形,并推出阶为01的椭圆曲线的精细BSD公式。 

  代表论文: 

  ① The Birch-Swinnerton-Dyer Formula For Elliptic Curves of Analytic Rank One, Joint with Dimitar Jetchev and Christopher Skinner, Cambridge Journal of Mathematics Volume 5, Number 3, 369-434, 2017. 

  ② P-adic Eisenstein Series and L-Functions of certain cusp forms on definite unitary groups (joint with E.Eischen), Journal of the Institute of Mathematics of Jussieu, volume 15, issue 03, pp. 471-510, July 2016. 

  ③ Iwasawa Main Conjecture for Hilbert Modular Forms, Forum of Mathematics, Sigma, Volume 3 (2015), e18. 

  ④ Families of Nearly Ordinary Eisenstein Series on Unitary Groups (with an Appendix by Kai-Wen Lan), Algebra and Number Theory, 2015, 9-9, pp 1955-2054. 

    

  6.         王勇,黄飞敏 等:关于若干可压缩流体方程的研究(Some studies on the compressible fluid      

  成果简介:可压缩Navier-Stokes方程方面:在低马赫数极限中发现了新的波现象;证明了高维情形初边值问题的解的消失耗散极限。Boltzmann方程方面:对于一类大振幅的初值,证明了整体解的存在唯一性。   

  代表论文: 

  ① Yong Wang, Uniform Regularity and Vanishing Dissipation Limit for the Full Compressible Navier-Stokes System in Three Dimensional Bounded Domain. Arch. Rational Mech. Anal., (2016), no. 3, 1345-1415.  

  ② Feimin Huang, Tianyi Wang, Yong Wang, Diffusive wave in the low Mach limit for compressible Navier-Stokes equations. Advances in Mathematics. 319 (2017), 348-395.  

  ③ Yong Wang, Zhouping Xin, Yan Yong, Uniform regularity and vanishing viscosity limit for the compressible Navier-Stokes with general Navier-slip boundary conditions in three-dimensional domains, SIAM J. Math. Anal. 47(2015), no. 6, 4123-4191.  

  ④ Renjun Duan, Feimin Huang, Yong Wang, Tong Yang, Global well-posedness of the Boltzmann equation with large amplitude initial data. Arch. Rational Mech. Anal. 225 (2017), no. 1, 375-424. 

    

  7.         杨晓奎 等:微分几何与代数几何中的正性(Positivity in differential geometry and algebraic geometry 

  成果简介:揭示了微分几何中的曲率和代数几何正性之间的深刻联系,完全解决了丘成桐、Gromov等人提出的猜想。 

  代表论文: 

  ① V. Tosatti and Xiaokui Yang, An extension of a theorem of Wu-Yau. J. Differential Geom. 107 (2017) 573-579. 

  ② Xiaokui Yang, Big vector bundles and compact complex manifolds with semi-positive tangent bundles, Math. Ann. 267 (2017) 251-282. 

  ③ K. Liu, Xiaokui Yang, Compact K\"ahler manifolds homotopic to negatively curved Riemannian manifolds. Math. Ann. 在线发表. 

  ④ V. Tosatti, B. Weinkove and Xiaokui Yang, The K\"ahler-Ricci flow, Ricci-flat metrics and collapsing limits. Amer. J. Math. 在线发表. 

  ⑤ K. Liu, S. Rao, Xiaokui Yang. Quasi-isometry and deformations of Calabi-Yau manifolds. Invent. Math. 199 (2015) 423-453. 

    

  8.         闫桂英 等:增效组合药物研究(Predicting Synergistic Drug Combinations 

  成果简介:将数学方法应用于增效药物组合预测工作,大大提高了组合药物的发现几率,代表了治疗复杂疾病和发现老药新用的新策略,并引起科学媒体广泛关注。 

  代表论文: 

  ① NLLSS: Predicting Synergistic DrugCombinations Based on Semi-supervisedLearningPLOS Computational Biology 2016 ,12(7): e1004975. 

  ② ASDCD: Antifungal Synergistic Drug CombinationDatabasePLOS ONE, 2014, 9(1), e86499. 

  ③ 专利:一种药物增效组合预测方法及实验验证. 201110210508.0. 

    

  9.         郑维喆 等:平展上同调及其对指数和的应用(Etale cohomology and applications to exponential sums 

  成果简介:与合作者在等变平展上同调和上同调的对称性问题上取得了进展,并解决了Jacobi和的Shparlinski问题。 

  代表论文: 

  ① Luc Illusie, Weizhe Zheng. Quotient stacks and equivariant étale cohomology algebras: Quillen's theory revisited. J. Algebraic Geom. 25 (2016), no. 2, pp. 289-400. 

  ② Shenghao Sun, Weizhe Zheng. Parity and symmetry in intersection and ordinary cohomology. Algebra & Number Theory 10 (2016), no. 2, pp. 235-307. 

  ③ Qing Lu, Weizhe Zheng, Zhiyong, Zheng. On the distribution of Jacobi sums. J. Reine Angew. Math. (Crelle’s Journal), ahead of print, doi:10.1515/crelle-2015-0087. 

    

  10.     周涛 等:不确定性量化的高精度算法(High order numerical methods for uncertainty quantification    

  成果简介:在不确定性量化中随机配置方法的算法设计和数值分析取得了一系列进展。 

  代表论文: 

  ① Akil Narayan, John Jakeman, and Tao Zhou, A Christoffel function weighted least squares algorithm for collocation approximationsMath. Comput., (86)2017, pp.1913-1947. 

  ② John Jakeman, Akil Narayan,  and Tao ZhouA generalized sampling and preconditioner scheme for sparse approximation of polynomial chaos expansions, SIAM J. Sci. Comput., 39-3,  pp. A 1114 -1144, 2017. 

  ③ Tao Tang and Tao ZhouDiscrete least square projection in unbounded domain with random evaluations and its application to parametric uncertainty quantification,  SIAM J. Sci. Comput., 36(5),  pp. A2272-A2295, 2014. 

  ④ Zhiqiang Xu and Tao Zhou, On sparse interpolation and the design of deterministic interpolation points, SIAM J. Sci. Comput. 36-4 (2014), pp. A1752-A1769. 

  ⑤ Tao Zhou, Akil Narayan and Zhiqiang Xu, Multivariate discrete least-squares approximations with a new type of collocation grid,  SIAM J. Sci. Comput., 36-5 (2014), pp. A2401-A2422. 

    

    

  

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