|Lecturer||Hideyuki AZEGAMI, Professor|
|Department||School of Informatics / Graduate School of Infomatics, 2021 Spring|
|Recommended for:||Graduate School of Informatics, Department of Complex Systems Science|
This course aims that student obtain the knowledge with which they understand systematically the practical world such as nature and society from an informatics viewpoint through simulation using methods in mathematical science, and with which they connect to problem solving.
The purpose of this course is to help students acquire the basic concepts and principles in mathematical science with respect to optimum designs of systems. Moreover, in order to deal with function optimization problems in Optimum Design 2, students understand the concept of functional spaces that is extended from the concept of vector spaces.
Subsequently to Optimum Design 1, students acquire the basic theories on existence of the solutions with respect to boundary value problems of partial differential equations and the principle of the numerical analysis. Using the knowledge, students understand the formulations of topology and shape optimization problems of continua and regular solutions of those problems.
Basics of Optimal Design
Basics of Optimization Theory
Basics of Mathematical Programming
Basics of Variational Principles and Functional Analysis
Boundary Value Problems of Partial Differential Equations
Fundamentals of Numerical Analysis
Abstract Optimum Design Problem
Topology Optimization Problems of Density Variation Type
Shape Optimization Problems of Domain Variation Type
January 27, 2022