| Academic Year |
2025Year |
School/Graduate School |
Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Mathematics Program |
| Lecture Code |
WSA63000 |
Subject Classification |
Specialized Education |
| Subject Name |
総合数理基礎講義Ｃ |
Subject Name
（Katakana） |
ソウゴウスウリキソコウギシー |
Subject Name in
English |
Geometric and Algebraic Analysis C |
| Instructor |
MIZUMACHI TETSU,KOTORII YUKA,SHIBUYA KAZUHIRO,HASHIMOTO SHINTARO |
Instructor
(Katakana) |
ミズマチ テツ,コトリイ ユウカ,シブヤ カズヒロ,ハシモト シンタロウ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, Second Semester, 3Term |
| Days, Periods, and Classrooms |
(3T) Mon5-8：IAS C808 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
Face-to-face |
| Writing on blackboard. |
| Credits |
2.0 |
Class Hours/Week |
4 |
Language of Instruction |
B
:
Japanese／English |
| Course Level |
5
:
Graduate Basic
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
01
:
Mathematics/Statistics |
| Eligible Students |
M1, M2 |
| Keywords |
|
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Class Objectives
/Class Outline |
I will llustrate some elementary results on the KdV equation. Topics might be changed. |
| Class Schedule |
lesson1 Introduction of the KdV equation (1)
lesson2 Introduction of the KdV equation (2)
lesson3 Traveling wave solutions
lesson4 KdV solitons (1)
lesson5 KdV solitons (2)
lesson6 KdV solitons (3)
lesson7 The Liner KdV Equation (1)
lesson8 The Liner KdV Equation (2)
lesson9 Cauchy Problems (1)
lesson10 Cauchy Problems (2)
lesson11 Stability of solitons (1)
lesson12 Stability of solitons (2)
lesson13 Stability of solitons (3)
lesson14 Summary (1)
lesson15 Summary (2) |
Text/Reference
Books,etc. |
0) Morikazu, Toda, Nonlinear Waves and Solitons
(Mathematics and its Applications (Japanese Series) vol 5) (Tokyo:Kluwer)
1) Felipe Linares, Gustavo Ponce，Introduction to Nonlinear Dispersive Equations
(Universitext), Springer
2) Thierry Cazenave, Semilinear Schroedinger Equations,
Courant Lecture Notes in Mathematics, AMS |
PC or AV used in
Class,etc. |
Microsoft Teams |
| (More Details) |
Blackboard |
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
Consult the literature introduced during the lectures. |
| Requirements |
|
| Grading Method |
There shall be reporting assignments in the end of classes. |
| Practical Experience |
|
| Summary of Practical Experience and Class Contents based on it |
|
| Message |
|
| Other |
|
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. |