江蘇省工業(yè)及應(yīng)用數(shù)學(xué)學(xué)會(huì)JSIAM

1、江蘇省工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)（JSIAM）2012年學(xué)術(shù)年會(huì)會(huì)議手冊(cè)2012年11月 揚(yáng)州主辦單位江蘇省工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)承辦單位揚(yáng)州大學(xué)數(shù)學(xué)科學(xué)學(xué)院會(huì)務(wù)組聯(lián)系方式：李 凌 通訊地址：揚(yáng)州大學(xué)瘦西湖校區(qū)數(shù)學(xué)科學(xué)學(xué)院，225002Email：math友情提醒：特邀報(bào)告時(shí)間為45分鐘（包括提問(wèn)交流時(shí)間），分組報(bào)告時(shí)間為20分鐘（包括提問(wèn)交流時(shí)間），主持人請(qǐng)負(fù)責(zé)各分組研討會(huì)場(chǎng)秩序與論文報(bào)告時(shí)間的控制。報(bào)告會(huì)場(chǎng)具有以下設(shè)備：投影機(jī)、電腦、激光筆。若有其他需求，請(qǐng)?zhí)崆芭c會(huì)務(wù)組秘書(shū)處聯(lián)系。請(qǐng)每一位做報(bào)告的專(zhuān)家于提前將報(bào)告文檔拷貝到電腦中，如需使用自備電腦請(qǐng)?zhí)崆霸嚈C(jī)。會(huì)務(wù)組設(shè)在1105房間。目 錄1、會(huì)議總體日

2、程12、具體日程2 開(kāi)幕式及大會(huì)特邀報(bào)告 2分組報(bào)告 33、學(xué)術(shù)報(bào)告簡(jiǎn)介6江蘇省工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)2012年學(xué)術(shù)年會(huì)總體日程日期時(shí)間內(nèi)容地點(diǎn)11月23日下午1:0021:00代表報(bào)到揚(yáng)州花園國(guó)際大酒店18:3020:00晚餐二樓自助餐廳20:0022:00JSIAM第五屆常務(wù)理事會(huì)會(huì)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(kāi)幕式二樓玫瑰廳9:109:25會(huì)議代表合影酒店大廳前集中9:30-10:15大會(huì)主題報(bào)告一復(fù)旦大學(xué) 譚永基教授二樓玫瑰廳10:15-10:30茶歇10:30-11:15大會(huì)主題報(bào)告二揚(yáng)州大學(xué) 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(zhuān)題報(bào)告上半場(chǎng)（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(zhuān)題報(bào)告下半場(chǎng)（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(qǐng)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(mén)前乘車(chē)，參觀考察11:00-11:45午餐，會(huì)議結(jié)束，離會(huì)江蘇省工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)（JSIAM）2012年學(xué)術(shù)年會(huì)具體日程開(kāi)幕式和特邀報(bào)告地點(diǎn)：二樓玫瑰廳11月24日上午時(shí)間報(bào)告題目報(bào)告人主持人：薛星美08:30

4、-09:10開(kāi)幕式9:109:25會(huì)議代表合影主持人：唐元生9:30-10:15關(guān)于美國(guó)大學(xué)生數(shù)學(xué)建模競(jìng)賽譚永基主持人：劉繼軍10:30-11:15多智能體一致性問(wèn)題劉玉榮江蘇省工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)（JSIAM）2012年學(xué)術(shù)年會(huì)具體日程分組報(bào)告第一組地點(diǎn)：一樓海棠亭12月24日下午時(shí)間報(bào)告題目報(bào)告人上半場(chǎng) 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(xué)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(xué)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(xué)15:00-15:20隨機(jī)矩陣的中偏差陳 磊江蘇師范大學(xué)15:20-15:40The asymptotic behavior of stochastic differential equations driven by Levy processes朱全新南京師范大學(xué)15:40-16:00茶歇 下半場(chǎng) 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(xué)16:20-16:40On a Reduced Form Credit Risk Model with Common Shock and Regime Switching梁雪蘇州大學(xué)16:40-17:00待定肖敏南京曉莊學(xué)院17:00-17:20On AGX conjectures involving proximity and remoteness of graphs華洪波

7、淮陰工學(xué)院17:20-17:40On the Bases and Spline Quasi-interpolation in Cubic Spline Space 錢(qián)江河海大學(xué)17:40-18:00Ground states for quasilinear Schrodinger equatons丁建南京信息工程大學(xué)第二組地點(diǎn)：一樓迎春廳12月24日下午時(shí)間報(bào)告題目報(bào)告人上半場(chǎng) 主席：高洪俊14:00-14:20Random sampling in shift invariant spaces楊建斌河海大學(xué)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(xué)14:40-15:00The classification ofderived minimal dg algebras李志偉江蘇師范大學(xué)15:00-15:20The solutions of the constrained BKP hierarchy and its relation with the Fay identities程紀(jì)鵬中國(guó)礦業(yè)大學(xué)15:20-15:40Integrable Ermakov systems in 2+1-Dimen

9、sional Rotating Shallow Water Theory安紅利南京農(nóng)業(yè)大學(xué)15:40-16:00茶歇下半場(chǎng) 主席：王金華16:00-16:20Valuation of Credit-linked notes with PDE approach葛磊蘇州大學(xué)16:20-16:40隨機(jī)動(dòng)力系統(tǒng)的Sacker-sell譜王廣瓦江蘇師范大學(xué)16:40-17:00次黎曼空間中最優(yōu)傳輸問(wèn)題譚康海南京理工大學(xué)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(xué)數(shù)學(xué)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(xué)17:40-18:00中國(guó)幾大股票市場(chǎng)的分形研究何慧南通大學(xué)第三組地點(diǎn)：二樓紫荊廳12月24日下午時(shí)間報(bào)告題目報(bào)告人上半場(chǎng) 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(xué)14:20-14:40基于PDE方法的圖像處理陳平南京理工大學(xué)14:40-15:00待定崔大成南京曉莊學(xué)院15:00-15:20基于流形學(xué)習(xí)的模式分類(lèi)方法徐春明鹽城師范學(xué)院15:20-15:40基于圖文法的云資源按需重構(gòu)方法郝水俠江蘇師范大學(xué)15:40-16:00茶歇下半場(chǎng) 主席：蔣勇 16:00-16:20頻率振幅關(guān)系陶詔靈南京信息工程大學(xué)16:20-16:40軟集族上的信息代數(shù)系統(tǒng)管雪沖江蘇師范大學(xué)16:40-17:00次分?jǐn)?shù)布朗運(yùn)動(dòng)的幾個(gè)結(jié)果劉俊峰南京審計(jì)學(xué)院17:00-17:20Nonuniform behavior for diffe

12、rential equations蔣永新河海大學(xué)17:20-17:40拓?fù)涠确椒ㄅc無(wú)窮維耦合格點(diǎn)系統(tǒng)的周期解王 超鹽城師范學(xué)院17:40-18:00Minimum Monochromatic and Rainbow Subgraph Partition of Graphs Avoiding Forbidden Subgraphs張曉巖南京師范大學(xué)學(xué)術(shù)報(bào)告簡(jiǎn)介報(bào)告人：徐紅梅 單位：河海大學(xué)報(bào)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(bào)告人：楊建斌 單位：河海大學(xué)報(bào)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(bào)告人：蔣永新 單位：河海大學(xué)報(bào)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(bào)告人：錢(qián)江 單位：河海大學(xué)報(bào)告題目：三次樣條函數(shù)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(shù)公式, 說(shuō)明了非均勻二元三次樣條空間 維數(shù)與均勻情形一樣. 接著, 借助于光滑余因子協(xié)調(diào)法, 計(jì)算了樣條空間 基函數(shù), 它由兩組具有局部最小支集的樣條函數(shù)組成, 并以支集中每個(gè)三角形胞腔上的10個(gè)點(diǎn)處函數(shù)值表示; 并且計(jì)算出這兩組樣條函數(shù)的B網(wǎng)系數(shù). 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(shù), 構(gòu)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(shù) 支集上5個(gè)網(wǎng)格點(diǎn)或中心, 與樣條函數(shù) 支集上5個(gè)網(wǎng)格點(diǎn)處函數(shù)值定義.

19、其中算子 能保接近最優(yōu)的三次多項(xiàng)式性. 而且, 利用連續(xù)模, 分析了算子 一致逼近于充分光滑的實(shí)函數(shù). 最后, 對(duì)于擬均勻2-型三角剖分, 研究表明樣條擬插值算子 導(dǎo)數(shù)一致逼近于充分光滑的實(shí)函數(shù)的導(dǎo)數(shù), 并推導(dǎo)出誤差估計(jì).報(bào)告人：徐春明 單位：鹽城師范學(xué)院數(shù)科院報(bào)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(bào)告人：王超 單位：鹽城師范學(xué)院數(shù)科院報(bào)告題目：拓?fù)涠扰c無(wú)窮維(高維)耦合格點(diǎn)系統(tǒng)的周期解摘要：本報(bào)告介紹了運(yùn)用拓?fù)涠鹊姆椒?，研究高維耦合格點(diǎn)系統(tǒng)周期解存在的存在性條件問(wèn)題。針

22、對(duì)各種非共振性條件，各給出一類(lèi)無(wú)窮維(高維)耦合格點(diǎn)系統(tǒng)的周期解存在的結(jié)果。特別地，對(duì)一類(lèi)滿(mǎn)足接觸共振點(diǎn)條件的耦合格點(diǎn)系統(tǒng)，證明了一個(gè)高維耦合系統(tǒng)周期解存在的延拓定理，并應(yīng)用此定理證明了系統(tǒng)周期解的存在性。 報(bào)告人：劉俊峰 單位：南京審計(jì)學(xué)院數(shù)學(xué)與統(tǒng)計(jì)學(xué)院報(bào)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(bào)告人：程紀(jì)鵬 單位：中國(guó)礦業(yè)大學(xué)理學(xué)院報(bào)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(bào)告人：張亞楠 單位：蘇州大學(xué)報(bào)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(bào)告人：梁雪 單位：蘇州大學(xué)報(bào)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(bào)告人：何慧 單位：南通大學(xué)理學(xué)院報(bào)告題目：中國(guó)幾大股票市場(chǎng)的分形研究摘要：分形市場(chǎng)理論克服了傳統(tǒng)的金融市場(chǎng)理論的缺陷，為人們準(zhǔn)確刻畫(huà)股票市場(chǎng)特征開(kāi)辟了新的視角。我們選擇了中國(guó)最具影響力的三大股票市場(chǎng)（上證綜指、深圳成指以及香港恒生指數(shù)）運(yùn)用了分形理論對(duì)這三大股票市場(chǎng)進(jìn)行了分析研究。針對(duì)三大股市近10年的股票指數(shù)收盤(pán)價(jià)，運(yùn)用R/S分析法分別對(duì)三大股指所對(duì)應(yīng)的對(duì)數(shù)收益序列進(jìn)行了研究，計(jì)算出了三大股市的日對(duì)數(shù)收益、5日對(duì)數(shù)收益、10日對(duì)數(shù)收益以及20日對(duì)數(shù)收益序列的Hurst指數(shù)。結(jié)果表明，在不同時(shí)間間隔下計(jì)算出的H

31、urst指數(shù)均大于0.5，說(shuō)明我國(guó)股票市場(chǎng)具有長(zhǎng)記憶性的特征，進(jìn)一步驗(yàn)證了中國(guó)股市是分形市場(chǎng)。同樣也發(fā)現(xiàn)，隨著時(shí)間間隔的增加，計(jì)算出的H值越大。此外，運(yùn)用統(tǒng)計(jì)分析方法，分析了三大股市之間的聯(lián)動(dòng)性；還對(duì)三大股市日收益序列的JB統(tǒng)計(jì)量進(jìn)行分析。報(bào)告人：陶詔靈 單位：南京信息工程大學(xué) 報(bào)告題目：頻率與振幅的關(guān)系摘要：振動(dòng)是自然界最普遍與頻繁的現(xiàn)象之一。對(duì)于特殊振動(dòng)方程，探討頻率與振幅的關(guān)系及尋求方法。報(bào)告人：吳斌 單位：南京信息工程大學(xué)報(bào)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(bào)告人：陳群 單位：南京信息工程大學(xué)報(bào)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(bào)告人：胡廣平 單位：南京信息工程大學(xué)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(bào)告人：姚紅超 單位：南通大學(xué)理學(xué)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(bào)告人：華洪波 單位：淮陰工學(xué)院報(bào)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(bào)告人：劉玉榮 單位：揚(yáng)州大學(xué)報(bào)告題目：多智能體一致性問(wèn)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(bào)告人：李志偉 單位：江蘇師范大學(xué)： 報(bào)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(bào)告人：管雪沖 單位：江蘇師范大學(xué)報(bào)告題目：軟集族上的信息代數(shù)系統(tǒng)摘要：本報(bào)告介紹了兩類(lèi)用于處理非確定性問(wèn)題的數(shù)學(xué)結(jié)構(gòu)模型，即信息代數(shù)和軟集。通過(guò)給出模糊軟集上的三個(gè)運(yùn)算，包括標(biāo)記運(yùn)算、聯(lián)合運(yùn)算以及投影運(yùn)算，證明了模糊軟集族構(gòu)成了一個(gè)信息代數(shù)系統(tǒng)。進(jìn)一步地，證得由所有參數(shù)集為有限子集的模糊軟集構(gòu)成了一個(gè)緊信息代數(shù)。報(bào)告人：王廣瓦 單位：江蘇師范大學(xué)報(bào)告題目：隨機(jī)動(dòng)力系統(tǒng)的Sacker-Sell譜摘要：Sacker-Sell譜（又叫動(dòng)力學(xué)譜，或者二分譜）是動(dòng)力系統(tǒng)

43、理論中的一個(gè)重要研究?jī)?nèi)容。目前這一方面的工作主要集中在確定性的動(dòng)力系統(tǒng)框架下，關(guān)于隨機(jī)動(dòng)力系統(tǒng)情形的成果很少。我們的報(bào)告主要研究了隨機(jī)動(dòng)力系統(tǒng)的Sacker-Sell譜理論：分別在有限維的情形和無(wú)限維的情形下建立了相應(yīng)的Sacker-Sell譜分解定理。報(bào)告人：朱全新 單位：南京師范大學(xué)報(bào)告題目：The asymptotic behavior of stochastic differential equations driven by Levy processes摘要：本報(bào)告首先簡(jiǎn)單介紹Levy過(guò)程的研究動(dòng)機(jī)和應(yīng)用背景，并給出Levy過(guò)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(zhì)。 然后具體討論一類(lèi)由Levy過(guò)程驅(qū)動(dòng)的隨機(jī)微分方程解的存在唯一性及長(zhǎng)時(shí)間行為以及連續(xù)性問(wèn)題。最后用幾個(gè)具體例子驗(yàn)證研究結(jié)果的有效性和正確性。報(bào)告人：張曉巖 單位：南京師范大學(xué)報(bào)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