Numerical Calculations
Teachers KAWAMURA, Masaaki Year 2　2nd semest [Department of Aerospace Engineering, Faculty of Science and Engineering] Basic Major Subjects Elective Requisites　2credit 2G213

#### Course Description

Students deal with exercises after teacher explains following contents. Students deepen their own comprehension by comparing numerical calculation results with analytic results.
1. simultaneous equations, determinant
2. ordinary differential equation
3. finite element method
Students can acquire knowledge about DP1 and DP2 in this class.

#### Course Objectives

Goal of this class is that students acquire ability to solve the problems with numerical simulations which is necessary for scientific and technological researcher and engineer. Of course, analytic results are basic and important. But, in case of real problems, there are many cases we do not get analytic results because of complexity of the problems. Numerical simulation is a method to get approximate solution instead of analytic results. Students can understand numerical simulation and apply to various problems in this class.

Attendance more than two thirds, seven exercises (100%).
The students will get simple explanations after these exercises.

#### Textbook and Reference

KindTitleAuthorPublisher
TextbookText : ISBN978-4901683708
References

#### Requirements(Assignments)

Read the text within the contents of the next lecture and write in a notebook for preparation in order to cope with exercises teacher explains in the class (1.5 hours).
After the lecture will be ended, practice these exercises with use of computer in order to review (1.5 hours).

#### Schedule

1Solution method of simultaneous equations and determinant (1)
2Exercise (1)　: calculation of determinant, in CL class
3Solution method of simultaneous equations and determinant (2)　: Gaussian elimination (direct method)
4Exercise (2)　: calculation of simultaneous equations (Gaussian elimination), in CL class
5Solution method of simultaneous equations and determinant (3)　: Jacobi method (iteration method)
6Exercise (3)　: calculation of simultaneous equations (Jacobi method), in CL class
7Solution method of simultaneous equations and determinant (4)　: Gauss-Seidel method (iteration method)
8Exercise (4)　: calculation of simultaneous equations (Gauss-Seidel method), in CL class
9Ordinary differential equation (1)　: Euler method
10Exercise (5)　: calculation of ordinary differential equation (Euler method), in CL class
11Ordinary differential equation (2)　: Runge-Kutta method
12Exercise (6)　: calculation of ordinary differential equation (Runge-Kutta method), in CL class
13Finite element method　: basic of finite element method
14Exercise (7)　: calculation of basic of finite element method, in CL class
15Summary, in CL class