Course title
330386003
Advanced Studies in Mathematical Sciences D

 TSUCHIYA Takuya

OZAKI Katsuhisa
Middle-level Diploma Policy (mDP)
Program / Major mDP Goals
Mathematical Sciences Course DP-4・2 キャリアを見据えた高度な専門知識
現象の背後にある数理構造やデータのパターンを理論的に解析し、社会や自然科学、工学における複雑な課題に対して数理的視点から解決戦略を提案できる。
Purpose of class
The purposes of this class in 2026 are as follows:
Students learn the basic idea of finite element method.
Students learn the mathematical theory of finite element method.
Course description
Advanced Studies in Mathematical Sciences A, B, C, and D are intensive courses. We invite professors from other universities, giving topics in applied mathematics or mathematical sciences. The subjects depend on each professor.

The topic for the academic year 2026 is The Mathematical Theory of Finite Element Method.
The details will be announced in December.
Goals and objectives
  1. The students can understand numerical methods for differential equations
  2. The students can understand basic idea of finite element methods
  3. The students can understand the mathematical theory of finite element methods
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 Report Total.
1. 30% 30%
2. 30% 30%
3. 40% 40%
Total. 100% -
Evaluation method and criteria
Report

The achievement of students will be evaluated by presentation and report. If the score is 60% or more, you can pass.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Numerical methods for differential equations Review of basic topics related to this class 1330minutes
2. Basic idea of finite element methods N/A 0minutes
3. Cea’s Lemma for the error of numerical solutions N/A 0minutes
4. Interpolation of functions on intervals N/A 0minutes
5. Interpolation of functions on triangles N/A 0minutes
6. Interpolation of functions on tetrahedrons N/A 0minutes
7. Further topics of the mathematical theory of finite element methods N/A 0minutes
8. N/A N/A 0minutes
9. N/A N/A 0minutes
10. N/A N/A 0minutes
11. N/A N/A 0minutes
12. N/A N/A 0minutes
13. N/A N/A 0minutes
14. N/A N/A 0minutes
Total. - - 1330minutes
Feedback on exams, assignments, etc.
ways of feedback specific contents about "Other"
Feedback in the class
Textbooks and reference materials
None
Prerequisites
Office hours and How to contact professors for questions
  • Students can ask questions in class.
    Students can ask questions by email.
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
N/A
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Mon Mar 23 04:08:15 JST 2026