Exercise on Numerical Analysis
U-ENG29 39092 SJ54
U-ENG29 39092 SJ11
U-ENG29 39092 SJ10
|Year/Term||2021 ・ First semester|
|Number of Credits||2||Course Type||Seminar|
|Target Year||Target Student|
IWASAKI ATSUSHI (Graduate School of Informatics Assistant Professor)
HARADA KENJI (Graduate School of Informatics Assistant Professor)
|Outline and Purpose of the Course||The numerical approach with computers is useful when we solve several problems in informatics and applied mathematics. In this exercise, we will learn numerical methods through implementing computer codes, executing the programs, and interpreting results.|
We will learn fundamental techniques for numerical analysis with computers. Specifically, we aim at obtaining the following four techniques.
(1) Understanding algorithm for numerical analysis
(2) Coding techniques
(3) Methodology of data analysis
(4) Writing ability.
|Schedule and Contents||
Week 1, Guidance and "How to write an effective report"
(a) We will explain contents of exercises on numerical simulations and introduce staffs and teaching assistants. We will further explain how to use computers in the computer room.
(b) We will study how to write an effective report.
Week 2-5 Statistical analysis
We will study fundamental methods which we need in data analysis.
(a) Least square method
(b) Statistical inference
(c) Statistical hypothesis testing
Week 6-10 Diffusion equation
We will study an explicit Euler method and Crank-Nicolson method for a one-dimensional diffusion equation and a reaction-diffusion equation.
Week 11-14 Numerical integration method and Monte Carlo method
(a) Trapezoidal rule, Simpson's rule
(b) Markov Chain Monte Carlo method
Week 15 Supplement to exercisercise
|Evaluation Methods and Policy||The students MUST submit all the reports for all subjects. The grading will be done based on the total scores of reports.|
|Course Requirements||Under the UNIX operating system, students have to edit a file, code and test C programs, make reports and graphs, and print them. BYOD.|
|Study outside of Class (preparation and review)||Students need to prepare by exercise documents.|