离散型rv 连续型rv cha 1 9/16 笔记

教学大纲cha 1 probabilitycha 2 conditional probability

Numerical analysis and its application to mathematical modelling. Aiming the application and development towards computational science and engineering as well as mathematical modelling, the research of numerical algorithms for systems of ordinary differential equations (ODEs) and related problems. Current research topics are:

1. Discrete variable solution of delay-differential equations and its stability
2. Numerical analysis of dynamics systems
3. Applied mathematics and scientific/engineering computing
4. Numerical methods for singular perturbation systems and others relevant to the above.

1）Hou,L., Ding,H. Qiu, L,The High Performance Computing on the Crash-safety Analysis,HPCA2009，Springer-Verlag，Berlin Heidelburg 2010 LNCS 5938，169-176，2010.

2）Lei Hou, LinQiu，Computation and asymptotic analysis in the non-Newtonian impact problem,ACTA Math. Applic. Sinica25-1, (2009), 117-126.

3)Hou,L., Li,H. Qiu, L.,Stochastic analysis on the visco-elastic impact problem,Proc. CEAM09 (I), Italy, (ISTP).Nov.23-Dec.8, 2009.

4) L.Qiu, Stability of Runge-Kutta method for the neutral delay differential system, Journal of Shanghai Jiaotong University, 2006, vol 40:39-41.

5)L. Qiu and T. Mitsui, Predator-prey dynamics with delay when prey dispersing in n-patch environment, Journal of Industrial and Applied Mathematics, 20-1, (2003) 37-49

6） G.R. Wang and L. Qiu, Leverrier-Chebyshev algorithm for the singular pencils, Linear Algebra and its Application, 345, (2002) 1-8

7) L. Qiu and T. Mitsui, Stability of the Radau IA and Lobatto IIIC methods for neutral delay differential system, Journal of Computational and Applied Mathematics, 137-2, (2001) 279-293

8) L. Qiu, T. Mitsui and J.X. Kuang, Unique solvability of nonlinear systems arising in the multiderivative block methodJapan of Industrial and Applied Mathematics, 18-3, ( 2001) 647-656

9) H. J. Tian, J.X. Kuang and L. Qiu, The stability of linear multistep methods for systems of neutral differential equations, Journal of Computational Mathematics, 19-2, (2001) 125-130

10) L. Qiu, T. Mitsui and J.X. Kuang, The numerical stability of the q-method for delay differential equations with many variable delays, J. of Computational Mathematics, 17-5, (1999) 523-532

11) B. Yang, L. Qiu and T. Mitsui, GPG-stability of Runge-Kutta methods for generalized delay differential systems, Computers and Mathematics with Applications, 37-7, (1999) 89-97

12) L. Qiu, B. Yang and J.X. Kuang, The NGP-stability of Runge-Kutta methods for system of neutral delay differential equations, Numer. Math., 81, (1999) 451-459

13) G.R. Wang and L. Qiu, Some new applications of the block-Cayley-Hamilton theorem, J. of Shanghai Teacher’s University, 27-1, (1998) 8-15

14) B. Yang and L. Qiu, The GPML- stability of Runge-Kutta methods for differential system with many delays, J. of Shanghai Teacher’s University, (Natural Sciences), 26-2, (1997) 9-18

15) L. Qiu and J.X. Kuang, On the LD-suitability of the nonlinear systems in MDBMs, J. of Shanghai Teacher’s University, 25-4, (1996) 6-11.

1) 1998年6月，日本Bentenjima, 27th Symposium on Numerical Analysis
2) 1998年9月，日本东京，早稻田大学，Japan Society for Industrial and Applied Mathematics
3) 1999年8月，澳大利亚，Queensland University, The International Conference on Scientific Computation and Differential Equations
4) 2000年6月，比利时，Katholieke Universiteit,The International Congress on Computational and Applied Mathematics
5) 2001年7月，加拿大，温哥华，The International Conference on Scientific Computation and Differential Equations
6) 2002年，意大利，Vietri sul Mare，Topics in Biomathematics and Related Computational Problems at the Beginning of the Third Millennium.

7）2006年，开云app官网入口下载苹果版 ，2006年全国奇异摄动研讨会。

8）2007年，湖州师大，2007年全国奇异摄动研讨会。

9）2008年，开云app官网入口下载苹果版 ，2008年全国奇异摄动研讨会。

10）2009年8月，安徽师大，2009年全国奇异摄动研讨会。

11）2009年8月，上海大学，HPCA国际会议。

12）2010年，开云app官网入口下载苹果版 ，2010年奇异摄动国际会议。