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
3/2/2018 2:30:28 PM