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	Spring
Course type	Spring	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

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

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)

Course keywords

Office hours

15:00-16:00 on Friday, Room 213, Building 12, Koganei Campus

Remarks 1

Remarks 2

Related URL

Lecture Language

Japanese

Language Subject

Last update

3/2/2017 10:26:13 AM