Course title
V0425900
Advanced Numerical Analysis 2

 fukuda akiko Click to show questionnaire result at 2018
Course description
This lecture is positioned as a sequel of the Advanced Numerical Analysis I. In this lecture we learn about numerical integration methods and numerical methods for ordinary differential equations, and the conjugate gradient method for linear systems.
Purpose of class
The purpose of this lecture is to understand the derivation and algorithms of some numerical algorithms and be able to apply them to real problems through implementation.
Goals and objectives
  1. be able to understand the principle of numerical integration method and numerical methods for ordinary differential equations
  2. be able to understand the importance of efficient algorithm, and learn how to decrease the numerical error through the computer exercises
  3. be able to understand the theoretical properties such as numerical error and the convergence rate, and understand them in connection with numerical characteristics
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Integration, numerical integration, mid point rule,
numerical error for the mid point rule, 		Review of integration in calculus 90minutes
2. Trapezoidal rule, and its numerical error, Simpson's rule and its numerical error Review of the previous lecture 90minutes
3. Newton-Cotes formula Review of the previous lecture 90minutes
4. Computer exercise(1) Review of the previous lecture and C language 90minutes
5. Computer exercise(2) Review of the previous lecture 90minutes
6. Numerical method for ordinary differential equation, Euler method Review of the previous lecture 90minutes
7. Heun method, Runge-Kutta method Review of ordinary differential equation 90minutes
8. Predictor-Corrector method, Adams-Bashforth methods Review of the previous lecture 90minutes
9. Computer exercise(3) Review of the previous lecture 90minutes
10. Computer exercise(4) Review of the previous lecture 90minutes
11. Conjugate gradient method (1) Review of the previous lecture 90minutes
12. Conjugate gradient method (2) Review of the previous lecture 90minutes
13. Conjugate gradient method (3) Review of the previous lecture 90minutes
14. Final exam and its review Review of the previous lecture 90minutes
Total. - - 1260minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Report Total.
1. 25% 25%
2. 50% 50%
3. 25% 25%
Total. 100% -
Evaluation method and criteria
Report (100%)
Textbooks and reference materials
Textbook is not specified. We will introduce a reference book if necessary.
Prerequisites
Numerical analysis, C language
Office hours and How to contact professors for questions
  • Tue. 15:00--16:40
Relation to the environment
Non-environment-related course
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
More than one class is interactive
Last modified : Wed Oct 17 07:33:30 JST 2018