Lectures

학부연계 대학원 계산수학 기초과목

-- 계산수학 및 실용수학 분야의 기초를 다지는 과목

Numerical Analysis 1 (수치해석1)

This course is designed to acquaint students in mathematical and physical sciences and engineering with the fundamental theory of numerical analysis. This course is devoted to nonlinear equations, optimization, approximation theory, numerical quadrature and numerical linear algebra (including linear systems, least squares problems and eigenvalue problems). The course will stress both on analytic and computational aspects of numerical methods.

Basic Finte Element Method (기초 유한요소법)

The finite element method is a useful tool to find an approximation of the solution to given partial differential equations in an arbitrary domain. The subject includes the introduction to the basic theories of finite element method, the implementation of finite element method and applications to partial differential equations in finite element method. This course aims to solve partial differential equations by implementing one`s own codes using finite element method and get used to using known packages.

대학원 계산수학 집중과목 (학부 4학년 선택적 수강 가능 과목)

-- 계산/산업수학 분야의 전문 인력을 양성하기 위한 기본 과목

Numerical Partial Differential Equations (수치편미분방정식)

This course focuses on the fundamentals of modern numerical techniques for a wide range of linear and nonlinear elliptic, parabolic, and hyperbolic partial differential equations and integral equations central to a wide variety of applications in science, engineering, and other fields. Topics includes: Mathematical formulations; Finite difference method, Finite volume method, Collocation method, Finite element method.

Finite Element Method (유한요소법)

This course focuses on the fundamentals of finite element methods for a wide range of linear and nonlinear elliptic, parabolic, and hyperbolic partial differential equations and integral equations central to a wide variety of applications in science, engineering, and other fields. Finite element method is a numerical technique for finding approximate solutions to partial differential equations. It uses variational methods to minimize an error function and produce a stable solution. The theory of finite elements and their applications is such a lively area in science and engineering. This course introduces the finite element methods which features important material for both research and application.

대학원 계산수학 심화과목

-- 계산/산업수학 분야의 특수 영역 전문 인력 교육을 위한 심화 과목

Advanced Finite Element Method (고급유한요소법)

This course studies the advanced theories and schemes in numerical analysis for various differential equations and integral equations of applications in science, engineering, and other fields. It focuses on the least-squares finite element method.

Mathematical Modeling and Numerical Analysis 1 - Sobolev Spaces and Domain Decomposition

Mathematical Modeling and Numerical Analysis 1 - Multigrid Tutorial

This course contains two subjects, multigrid method and advanced numerical partial differential equations. Multigrid methods are a group of algorithms in solving linear systems iteratively using a hierarchy of discretizations. Multigrid methods are among the fastest solution techiniques known today. The first half of this course aims to know and to implement the multigrid methods. The second half of this course covers advanced numerical partial differential equations.

수리모델링 및 수치모사와 시각화 2

This is very advanced CSE graduate course combined with "Mathematical Modeling and Simulation and Visualization for Science I" aiming to train Ph.D.students to bridge this gap, by providing insights into the various interfaces among mathematical theories, scientific computation and visualization of real world problems. Prerequisites for students with mathematical background are partial differential equation(graduate level)and numerical analysis(FEM).