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講義概要/Course Information |
科目基礎情報/General Information |
授業科目名 /Course title (Japanese) |
Introduction to Computational Methods in Science and Engineering | ||
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英文授業科目名 /Course title (English) |
Introduction to Computational Methods in Science and Engineering | ||
科目番号 /Code |
INT505z | ||
開講年度 /Academic year |
2021年度 | 開講年次 /Year offered |
3/4 |
開講学期 /Semester(s) offered |
前学期 | 開講コース・課程 /Faculty offering the course |
情報理工学域 |
授業の方法 /Teaching method |
講義 | 単位数 /Credits |
2 |
科目区分 /Category |
総合文化科目 | ||
開講類・専攻 /Cluster/Department |
情報理工学域 | ||
担当教員名 /Lecturer(s) |
Hans-Georg Matuttis | ||
居室 /Office |
E4-721 | ||
公開E-mail |
hg@mce.uec.ac.jp | ||
授業関連Webページ /Course website |
https://webclass.cdel.uec.ac.jp | ||
更新日 /Last update |
2021/03/31 10:07:22 | 更新状況 /Update status |
公開中 /now open to public |
講義情報/Course Description |
主題および 達成目標(2,000文字以内) /Themes and goals(up to 2,000 letters) |
Computational methods have replaced analytical methods already in many fields of science and engineering, and their importance is still increasing. The aim of the lecture is to provide fundamental criteria for the choice of numerical methods, give an overview about some available methods in some fields, and give ideas about performance-oriented implementation for such methods. Depending on the background and interest of the auditory, some topics may be subject to changes. |
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前もって履修 しておくべき科目(1,000文字以内) /Prerequisites(up to 1,000 letters) |
First year Analysis and Linear Algebra, one procedural Programming Language |
前もって履修しておくこ とが望ましい科目(1,000文字以内) /Recommended prerequisites and preparation(up to 1,000 letters) |
無し |
教科書等(1,000文字以内) /Course textbooks and materials(up to 1,000 letters) |
Scriptum can be downloaded from http://webclass.cdel.uec.ac.jp/, further reading: A. L. Garcia, Numerical Methods for Physics, Benjamin-Cummings Pub Co,1999 G.J. Borse: Numerical Methods with Matlab, International Thomson Publishing, 1997 |
授業内容と その進め方(2,000文字以内) /Course outline and weekly schedule(up to 2,000 letters) |
1. Simple MATLAB-Synthax 2. How to write better programs 3. Non-numerical methods: Monte-Carlo techniques 4. Representation of Numbers 5. Elementary numerical analysis I: What are numerical errors 6. Elementary numerical analysis II: How to get "correct" results from calculations "with error" 8. MATLAB Graphics 9. Introduction to numerical Linear algebra I: Repetition 1st year Linear Algebra 10. Introduction to numerical Linear algebra II: How to draw a line through more than 2 points (or maybe not) 11. Introduction to numerical Linear algebra III: Least squared fitting 12. Polynomials and Roots 13. Solving ordinary differential equations I: Basics Initial conditions, analytic solutions, Euler Method 14. Solving ordinary differential equations II: Higher order Methods Approaches to construct higher order methods, Runge-Kutta methods 15. Solving ordinary differential equations III: Advanced methods Adaptive Timesteps, energy conservation systems, stiff problems |
実務経験を活かした 授業内容 (実務経験内容も含む) /Course content utilizing practical experience |
Short programming examples during the lecture |
授業時間外の学習 (予習・復習等)(1,000文字以内) /Preparation and review outside class(up to 1,000 letters) |
無し |
成績評価方法 および評価基準 (最低達成基準を含む) (1,000文字以内) /Evaluation and grading (up to 1,000 letters) |
- Participation and activity in the Lecture - Depending on the number of students, Homework in the E-Learning System or programming homework |
オフィスアワー: 授業相談(1,000文字以内) /Office hours(up to 1,000 letters) |
you contact me by E-Mail, other times are possible. |
学生へのメッセージ(1,000文字以内) /Message for students(up to 1,000 letters) |
|
その他 /Others |
Lecture starts after the the introduction to the computer system in the Jusst-Program has been held. |
キーワード /Keywords |
Numerical Analysis, Scientific Programming |