Course title
V0420000
Advanced Numerical Analysis 1

 fukuda akiko Click to show questionnaire result at 2017
Course description
This lecture is positioned as a sequel of numerical analysis. In this lecture, we will learn about the Lagrange interpolation and the spline interpolation, the least squares problem.
Purpose of class
The purpose of this lecture is to understand the principles and algorithms of the interpolation methods and the least squares problems and to master these numerical algorithms through the application to a real problem.
Goals and objectives
  1. be able to understand the basic concept and principle for each of the interpolation method and the least squares problems
  2. be able to understand the numerical properties of each algorithms through the programming exercise
  3. be able to understand the basics of error analysis
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. The interpolation method Review of numerical analysis 190minutes
2. Lagrange interpolation Review of previous lecture and numerical method for linear systems 190minutes
3. Numerical error on the Lagrange interpolation and Runge's phenomenon Review of previous lecture 190minutes
4. Newton interpolation and its numerical error Review of previous lecture 190minutes
5. Computer exercise(1) Review of previous lecture and the C language 190minutes
6. Computer exercise(2) Review of previous lecture 190minutes
7. Spline interpolation (1) Review of previous lecture 190minutes
8. Spline interpolation (2) Review of previous lecture 190minutes
9. Computer exercise(3) Review of previous lecture 190minutes
10. Computer exercise(4) Review of previous lecture 190minutes
11. Eigenvalue Problem (1) Review of previous lecture 190minutes
12. Eigenvalue Problem (2) Review of previous lecture 190minutes
13. Eigenvalue Problem (3) Review of previous lecture 190minutes
14. Final exam and review Review of previous lecture 190minutes
Total. - - 2660minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Exam Report Total.
1. 25% 25%
2. 50% 50%
3. 25% 25%
Total. 50% 50% -
Evaluation method and criteria
Report and final exam
Textbooks and reference materials
Textbook is not specified. We will introduce the reference books, if necessary.
Prerequisites
Numerical Analysis, C language
Office hours and How to contact professors for questions
  • Tue 15:00--16:00
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 07:33:27 JST 2018