1、江蘇省工業與應用數學學會（JSIAM）2012年學術年會會議手冊2012年11月 揚州主辦單位江蘇省工業與應用數學學會承辦單位揚州大學數學科學學院會務組聯系方式：李 凌 通訊地址：揚州大學瘦西湖校區數學科學學院，225002Email：math友情提醒：特邀報告時間為45分鐘（包括提問交流時間），分組報告時間為20分鐘（包括提問交流時間），主持人請負責各分組研討會場秩序與論文報告時間的控制。報告會場具有以下設備：投影機、電腦、激光筆。若有其他需求，請提前與會務組秘書處聯系。請每一位做報告的專家于提前將報告文檔拷貝到電腦中，如需使用自備電腦請提前試機。會務組設在1105房間。目 錄1、會議總體日

2、程12、具體日程2 開幕式及大會特邀報告 2分組報告 33、學術報告簡介6江蘇省工業與應用數學學會2012年學術年會總體日程日期時間內容地點11月23日下午1:0021:00代表報到揚州花園國際大酒店18:3020:00晚餐二樓自助餐廳20:0022:00JSIAM第五屆常務理事會會議一樓海棠廳11月24日7:00-8:00早餐二樓自助餐廳8:309:10開幕式二樓玫瑰廳9:109:25會議代表合影酒店大廳前集中9:30-10:15大會主題報告一復旦大學 譚永基教授二樓玫瑰廳10:15-10:30茶歇10:30-11:15大會主題報告二揚州大學 劉玉榮教授二樓玫瑰廳11:30-12:30午餐二

3、樓自助餐廳12:30-14:00午休14:00-15:40分組專題報告上半場（20分鐘/人）分三組第一組：一樓海棠廳第二組：一樓迎春廳第三組：二樓紫荊廳15:40-16:00茶歇16:00-17:40分組專題報告下半場（20分鐘/人）分三組第一組：一樓海棠廳第二組：一樓迎春廳第三組：二樓紫荊廳18:00宴請一樓迎春廳11月25日7:00-8:00早餐二樓自助餐廳8:0011:00酒店門前乘車，參觀考察11:00-11:45午餐，會議結束，離會江蘇省工業與應用數學學會（JSIAM）2012年學術年會具體日程開幕式和特邀報告地點：二樓玫瑰廳11月24日上午時間報告題目報告人主持人：薛星美08:30

4、-09:10開幕式9:109:25會議代表合影主持人：唐元生9:30-10:15關于美國大學生數學建模競賽譚永基主持人：劉繼軍10:30-11:15多智能體一致性問題劉玉榮江蘇省工業與應用數學學會（JSIAM）2012年學術年會具體日程分組報告第一組地點：一樓海棠亭12月24日下午時間報告題目報告人上半場 主席：盧殿臣14:00-14:20Global Existence and Decay Rate of Solutions of Generalized Benjamin-Bona-Mahony-Burgers Equation in Multi-dimension徐紅梅河海大學14:20-

5、14:40Global stability of a delayed epidemic model with saturation infection rate胡廣平南京信息工程大學14:40-15:00帶變量核的Marcinkiewicz積分算子在某些空間上的有界性姚紅超南通大學15:00-15:20隨機矩陣的中偏差陳 磊江蘇師范大學15:20-15:40The asymptotic behavior of stochastic differential equations driven by Levy processes朱全新南京師范大學15:40-16:00茶歇 下半場 主席：吳鋼 16

6、:00-16:20Numerical analysis on a compact difference scheme for the nonlinear Kuramoto-Tsuzuki equation胡秀玲江蘇師范大學16:20-16:40On a Reduced Form Credit Risk Model with Common Shock and Regime Switching梁雪蘇州大學16:40-17:00待定肖敏南京曉莊學院17:00-17:20On AGX conjectures involving proximity and remoteness of graphs華洪波

7、淮陰工學院17:20-17:40On the Bases and Spline Quasi-interpolation in Cubic Spline Space 錢江河海大學17:40-18:00Ground states for quasilinear Schrodinger equatons丁建南京信息工程大學第二組地點：一樓迎春廳12月24日下午時間報告題目報告人上半場 主席：高洪俊14:00-14:20Random sampling in shift invariant spaces楊建斌河海大學14:20-14:40Solving the backward heat conduct

8、ion problem by data fitting with multiple regularizing parameters陳群南京信息工程大學14:40-15:00The classification ofderived minimal dg algebras李志偉江蘇師范大學15:00-15:20The solutions of the constrained BKP hierarchy and its relation with the Fay identities程紀鵬中國礦業大學15:20-15:40Integrable Ermakov systems in 2+1-Dimen

9、sional Rotating Shallow Water Theory安紅利南京農業大學15:40-16:00茶歇下半場 主席：王金華16:00-16:20Valuation of Credit-linked notes with PDE approach葛磊蘇州大學16:20-16:40隨機動力系統的Sacker-sell譜王廣瓦江蘇師范大學16:40-17:00次黎曼空間中最優傳輸問題譚康海南京理工大學17:00-17:20The method of approximate particular solutions for inverse source problems associat

10、ed with the convection-diffusion equation閆亮東東南大學數學系17:20-17:40Uniqueness and stability of a coefficient inverse problem for type III thermoelasticity吳斌南京信息工程大學17:40-18:00中國幾大股票市場的分形研究何慧南通大學第三組地點：二樓紫荊廳12月24日下午時間報告題目報告人上半場 主席：林支桂14:00-14:20Alternating direction implicit schemes for 2D fractional diffu

11、sion-wave equation張亞楠蘇州大學14:20-14:40基于PDE方法的圖像處理陳平南京理工大學14:40-15:00待定崔大成南京曉莊學院15:00-15:20基于流形學習的模式分類方法徐春明鹽城師范學院15:20-15:40基于圖文法的云資源按需重構方法郝水俠江蘇師范大學15:40-16:00茶歇下半場 主席：蔣勇 16:00-16:20頻率振幅關系陶詔靈南京信息工程大學16:20-16:40軟集族上的信息代數系統管雪沖江蘇師范大學16:40-17:00次分數布朗運動的幾個結果劉俊峰南京審計學院17:00-17:20Nonuniform behavior for diffe

12、rential equations蔣永新河海大學17:20-17:40拓撲度方法與無窮維耦合格點系統的周期解王 超鹽城師范學院17:40-18:00Minimum Monochromatic and Rainbow Subgraph Partition of Graphs Avoiding Forbidden Subgraphs張曉巖南京師范大學學術報告簡介報告人：徐紅梅 單位：河海大學報告題目：Global existence and decay rate of solutions of generalized Benjamin-Bona-Mahony-Burgers equations i

13、n multi-dimension.摘要：We study the global existence and decay rates of the Cauchy problem for the generalized Benjamin-Bona-Mahony-Burgers equations in multi dimensional space. By using Fourier analysis, frequency decomposition, pserdo-differential operators and energy method, we obtain global existe

14、nce and optimal L-2 convergence rates of the solution.報告人：楊建斌 單位：河海大學報告題目：Random sampling in shift invariant spaces摘要：The set of sampling in a shift invariant space plays an important role in signal processing and has many applications. This talk addresses the problem when some randomly chosen sampl

15、es $X=x_j:jin J$ forms a set of sampling in a shift invariant space. That is, when the inequality of the form $c_p|f|_Lp(mathbb Rd)ple sum_x_jin X|f(x_j)|ple C_p|f|_Lp(mathbb Rd)p$ holds uniformly for all functions $f$ in a shift invariant space, where $c_p$ and $C_p$ are positive constants $(1le p

16、leinfty)$. We prove that with overwhelming probability, the above sampling inequality holds for certain compact subsets of the shift invariant space when the sampling size is sufficiently large.報告人：蔣永新 單位：河海大學報告題目：Nonuniform Hyperbolicity behaviors摘要：In this talk I first give the relation between th

17、e notions of nonuniform asymptotic stability and admissibility by using appropriate Lyapunov norms. Then I display the robustness of a nonuniform (,v) trichotomy in Banach spaces, in the sense that the existence of such a trichotomy for a given linear equation persists under sufficiently small linea

18、r perturbations.報告人：錢江 單位：河海大學報告題目：三次樣條函數空間基底與樣條擬插值研究摘要：基于多元樣條空間的維數公式, 說明了非均勻二元三次樣條空間 維數與均勻情形一樣. 接著, 借助于光滑余因子協調法, 計算了樣條空間 基函數, 它由兩組具有局部最小支集的樣條函數組成, 并以支集中每個三角形胞腔上的10個點處函數值表示; 并且計算出這兩組樣條函數的B網系數. 然后, 利用由兩組具有局部最小支集的樣條所組成的基函數, 構造了一系列非均勻2-型三角剖分上的三次樣條擬插值算子. 這些變差縮減算子由樣條函數 支集上5個網格點或中心, 與樣條函數 支集上5個網格點處函數值定義.

19、其中算子 能保接近最優的三次多項式性. 而且, 利用連續模, 分析了算子 一致逼近于充分光滑的實函數. 最后, 對于擬均勻2-型三角剖分, 研究表明樣條擬插值算子 導數一致逼近于充分光滑的實函數的導數, 并推導出誤差估計.報告人：徐春明 單位：鹽城師范學院數科院報告題目：Face recognition using discriminant neighborhood preserving projections 摘要：We propose a novel subspace learning method called discriminant neighborhood preserving p

20、rojections (DNPP) for face feature extraction. Compared with the conventional neighborhood preserving projections (NPP) method, DNPP can effective utilize class information of the data manifold to guide the process of feature extraction. Additionally, when computing the neighborhood graph, the edge

21、weights are constrained to be non-negative, so the weights are more suitable for real world applications. Experimental results on Yale and ORL face databases show the effectiveness of the proposed DNPP algorithm.報告人：王超 單位：鹽城師范學院數科院報告題目：拓撲度與無窮維(高維)耦合格點系統的周期解摘要：本報告介紹了運用拓撲度的方法，研究高維耦合格點系統周期解存在的存在性條件問題。針

22、對各種非共振性條件，各給出一類無窮維(高維)耦合格點系統的周期解存在的結果。特別地，對一類滿足接觸共振點條件的耦合格點系統，證明了一個高維耦合系統周期解存在的延拓定理，并應用此定理證明了系統周期解的存在性。 報告人：劉俊峰 單位：南京審計學院數學與統計學院報告題目：Several results about the functionals corresponding to sub-fractional Brownian motion摘要：In this talk, we will discuss three functionals associated with sub-fractional

23、Brownian motion, such as weighted power variation, self-intersection local time and “adjusted” quadratic variation. This talk is based on some joint works with Litan Yan. 報告人：程紀鵬 單位：中國礦業大學理學院報告題目：Some new results about the gauge transformation of the BKP hierarchy摘要：In this lecture, we mainly deal w

24、ith the gauge transformation of the BKP hierarchy. Three results are obtained: 1)The orbit of the gauge transformation for the constained BKP hierarchy defines a special (2 + 1)-dimensional Toda lattice equation structure. 2) And the tau function of the BKP hierarchy, generated by the gauge transfor

25、mation , is showed as a Pfaffian. 3)The applications of the gauge transformation in the derivation of the Fay like identities about the BKP tau function is showed.報告人：張亞楠 單位：蘇州大學報告題目：Alternating direction implicit schemes for 2D fractional diffusion-wave equation摘要：This work considers the numerical

26、methods of fractional diffusion-wave equation with time fractional derivative of order. Since fractional derivatives are non-local, it is difficult to solve fractional problems numerically, especially in high spatial dimensions. In order to overcome the computational difficulty, we derive ADI scheme

27、s for solving the 2D problems. These methods reduce the computation time greatly comparing with traditional implicit methods. The unconditional stability and norm convergence are proved rigorously. Numerical experiments are carried out to support the theoretical results.報告人：梁雪 單位：蘇州大學報告題目：On a reduc

28、ed form credit risk model with common shock and regime switching.摘要：Reduced form credit risk models are important ones in credit risk theory. In such a model, certain correlated relations are constructed to represent the default dependence structure among the default intensity processes. In this pap

29、er, we introduced a reduced form credit risk model in which the default dependence structures among default intensity processes are described by the so-called common shocks with regime-switching. We derive some closed-form expressions for the joint distribution of the default times and for the prici

30、ng formulas of the basket default swaps. 報告人：何慧 單位：南通大學理學院報告題目：中國幾大股票市場的分形研究摘要：分形市場理論克服了傳統的金融市場理論的缺陷，為人們準確刻畫股票市場特征開辟了新的視角。我們選擇了中國最具影響力的三大股票市場（上證綜指、深圳成指以及香港恒生指數）運用了分形理論對這三大股票市場進行了分析研究。針對三大股市近10年的股票指數收盤價，運用R/S分析法分別對三大股指所對應的對數收益序列進行了研究，計算出了三大股市的日對數收益、5日對數收益、10日對數收益以及20日對數收益序列的Hurst指數。結果表明，在不同時間間隔下計算出的H

31、urst指數均大于0.5，說明我國股票市場具有長記憶性的特征，進一步驗證了中國股市是分形市場。同樣也發現，隨著時間間隔的增加，計算出的H值越大。此外，運用統計分析方法，分析了三大股市之間的聯動性；還對三大股市日收益序列的JB統計量進行分析。報告人：陶詔靈 單位：南京信息工程大學 報告題目：頻率與振幅的關系摘要：振動是自然界最普遍與頻繁的現象之一。對于特殊振動方程，探討頻率與振幅的關系及尋求方法。報告人：吳斌 單位：南京信息工程大學報告題目：Uniqueness and stability of an inverse kernel problem for type III thermoelast

32、icity摘要：In this talk, we study a global Carleman estimate for a thermoelastic system of type III. Based on this estimate, we furthermore investigate an inverse problem of determining a spatially varying thermal kernel function. A Holder stability for the coefficient inverse problem only by displacem

33、ent measurements over a given subdomain along a sufficiently large time interval and temperature measurements at some time over whole domain is obatined. The uniqueness for such an inverse problem is yielded as a direct result.報告人：陳群 單位：南京信息工程大學報告題目：Solving the back ward heat conduction problem by d

34、ata fitting with multiple regularizing parameters摘要：We propose a new reconstruction scheme for the backward heat conduction problem. By using the eigenfunction expansions, this ill-posed problem is solved by an optimization problem, which is essentially a regularizing scheme for the noisy input data

35、 with both the number of truncation terms and the approximation accuracy for the final data as multiple regularizing parameters. The convergence rate analysis depending on the strategy of choosing regularizing parameters as well as the computational accuracy of eigenfunctions is given. Numerical imp

36、lementations are presented to show the validity of this new scheme.報告人：胡廣平 單位：南京信息工程大學題目：Global dynamics of a delayed epidemic model with saturation infection。摘要：This paper is concerned with a mathematical model dealing with a delayed SEIR epidemic model with saturation infection rate. The global dy

37、namics is studied, through constructing suitable Lyapunov functionals and using LaSalle invariant principle. Numerical simulations are also presented to illustrate the results obtained analytically.報告人：姚紅超 單位：南通大學理學院題目：帶變量核的Littlewood-Paley算子交換子在某空間上的有界性報告人：華洪波 單位：淮陰工學院報告題目：On AGX conjectures involv

38、ing remoteness and proximity of graphs摘要：In this talk, we discuss several AGX conjectures proposed by Aouchiche and Hansen in M. Aouchiche and P. Hansen, Proximity and remoteness in graphs: results and conjectures, Networks, 58 (2011) 95-102. In particular, we give an extended abstract of the proof

39、of an AGX conjecture.報告人：劉玉榮 單位：揚州大學報告題目：多智能體一致性問題摘要：In this talk, the distributed consensus problem is considered for discrete-time delayed networks of dynamic agents with fixed topologies, where the networks under investigation are directed and the time delays involved are distributed time delays

40、including a single or multiple time delay(s) as special cases. By using the invariance principle of delay difference systems, a new unified framework is established to deal with the consensus for the discrete-time delayed multi-agent system. It is shown that the addressed discrete-time network with

41、arbitrary distributed time delays reaches consensus provided that it is strongly connected. A numerical example is presented to illustrate the proposed methods.報告人：李志偉 單位：江蘇師范大學： 報告題目：The classification of derived minimal dg algebras摘要：In this talk, we will introduce the notion of derived minimal dg

42、 algebras and present some classification theorems ofsuch algebras.報告人：管雪沖 單位：江蘇師范大學報告題目：軟集族上的信息代數系統摘要：本報告介紹了兩類用于處理非確定性問題的數學結構模型，即信息代數和軟集。通過給出模糊軟集上的三個運算，包括標記運算、聯合運算以及投影運算，證明了模糊軟集族構成了一個信息代數系統。進一步地，證得由所有參數集為有限子集的模糊軟集構成了一個緊信息代數。報告人：王廣瓦 單位：江蘇師范大學報告題目：隨機動力系統的Sacker-Sell譜摘要：Sacker-Sell譜（又叫動力學譜，或者二分譜）是動力系統

43、理論中的一個重要研究內容。目前這一方面的工作主要集中在確定性的動力系統框架下，關于隨機動力系統情形的成果很少。我們的報告主要研究了隨機動力系統的Sacker-Sell譜理論：分別在有限維的情形和無限維的情形下建立了相應的Sacker-Sell譜分解定理。報告人：朱全新 單位：南京師范大學報告題目：The asymptotic behavior of stochastic differential equations driven by Levy processes摘要：本報告首先簡單介紹Levy過程的研究動機和應用背景，并給出Levy過程的精確定義以及Levy Ito分解定理、Levy-Khi

44、ntchine公式等重要性質。 然后具體討論一類由Levy過程驅動的隨機微分方程解的存在唯一性及長時間行為以及連續性問題。最后用幾個具體例子驗證研究結果的有效性和正確性。報告人：張曉巖 單位：南京師范大學報告題目：Minimum Monochromatic and Rainbow Subgraph Partition of Graphs Avoiding Forbidden Subgraphs摘要：Given an edge-colored graph G=(V, E), a subgraph H is said to be monochromatic if all its edges have the same color, and called rainbow if i