同济大学数值计算课件
一、The position o源自 scientific computing
1. In scientific research The third eye of the modern scientific research. The three methods of the modern scientific research:
Let us image the style of scientific research after “ASCI” plan is finished: (As an example, car’s or plane’s outer curve design)
An iterative process with three steps
is beautiful but the path is full of difficulties
二、The future of scientific computing
Sep. 1996, America DOE proposed “ASCI” plan(加速战略计算创新)
The object of ASCI: In computer platform with 1014 Flop/s ( 100万亿次/秒), 3D complete physics processing, complete scalable, high precision scientific simulation computing will be done.
Theory Experiment Scientific computing
Importance of scientific computing:
Foreign university, since 1970. Chinese university, since 1990. Tongji University, since 1999.
What is it?
The course involves the two parts: 1. Algorithms:
ideas for obtaining numerical solutions to various mathematical problems; 2. The computer program: to communicate the algorithms to computer, FORTRAN(C), or Matlab.
2. Numerical Analysis, David Kincaid, Ward Cheney, Brooks/Cole Publishing Company, 1996.
References:
3. MATLAB循序渐进,主编李胡锡,姜红, 上海交通大学出版社,1997.
4.精通MATLAB 6,[美]D.Hanselman, B.Littlefield 著,张航, 黄攀,译, 清华大学出版社,2002。
Judgement: if the computed drag force > the required drag force, then repeat step (1),(2); else exit from the iteration loop, stop.
Climate Prediction
The three kernel problems in scientific computing:
suitable mathematical modeling high efficiency numerical method high performance computer platform
Numerical method and computer algorithm
陈素琴 同济大学数学系
References:
1. Applied Numerical Methods for Engineering and Scientists, Singiresu S.Rao, Prentice Hall, Upper Saddle River, NJ07458, 2002.
Design: using CAD software to design to outer curve of car or plane. The two preliminary factor: beautiful smaller drag force
Computing: using computational air dynamics, obtaining the drag force of car or plane.
一、The position of scientific computing
2. In engineering and industrial application ----becoming wider. The conclusion comes from IT TOP 500.
二、The future of scientific computing
二、The future of scientific computing
Origin: scientific computing method will take place
experiment method in scientific research.
二、The future of scientific computing
high performance computer platform (Jun.18, 2012) --- status quo
No.1 in globe(1)
Sequoia(红杉)
10 US
16.32 Pflops/s(
)15
No.1 in China (5) Tianhe-1A(天河)