| Course title | |||||
| 応用数学特論 [Advanced Topics in Applied Mathematics] | |||||
| Course category | courses for master's programs | Requirement | Credit | 2 | |
| Department | Year | ～ | Semester | 1st | |
| Course type | 1st | Course code | 1060605 | ||
| Instructor(s) | |||||
| 村田 実貴生 [MURATA Mikio] | |||||
| Facility affiliation | Faculty of Engineering | Office | Room 213, Building 12, Koganei | Email address | |
| Course description |
|
Applied Mathematics is one mathematical field, and is a foundation of all special fields of study. At this lecture, after mastering the theory of discretization of differential equations, it aims capable to use the theory of discretization of differential equations. |
| Expected Learning |
|
1. capable to understand Advanced Topics in Applied Mathematics for engineering 2. capable to use Advanced Topics in Applied Mathematics for engineering Corresponding criteria in the Diploma Policy: See the Curriculum maps. |
| Course schedule |
|
week1: Cellular automaton week2: Elementary Cellular automaton week3: Max-plus algebra week4: Max-plus algebra week5: Cellular automaton and Max-plus algebra week6: Ultradiscretization week7: Ultradiscretization of soliton equations week8: Soliton cellular automaton week9: Ultradiscretization of ordinary differential equation week10: Ultradiscretization of ordinary differential equation week11: Ultradiscretization of reaction-diffusion equation week12: Ultradiscretization of reaction-diffusion equation week13: Ultradiscretization of simultaneous reaction-diffusion equations week14: Ultradiscretization of simultaneous reaction-diffusion equations week15: Presentation and discussion |
| Prerequisites |
|
It is categorized into courses for master's programs. In addition to 30 hours that students spend in the class, students are recommended to revise the lectures, spending the standard amount of time as specified by the university and using the lecture notes as well as the reference book specified below. |
| Required Text(s) and Materials |
| References |
| Hirota, Ryogo and Takahashi, Daisuke (2003) Sabun to chorisan, Kyoritsu Shuppan |
| Assessment/Grading |
| Report (100％) |
| Message from instructor(s) |
| Please take classes while conscious of possibility of application to your research. |
| Course keywords |
| Cellular automaton, differential equations, discretization, ultradiscretization |
| Office hours |
| From 14:45 to 16:15 on Friday |
| Remarks 1 |
| Remarks 2 |
| Related URL |
| Lecture Language |
| Japanese |
| Language Subject |
| Last update |
| 2/20/2019 11:03:32 AM |