2021-1학기 필답시험(전공종합시험)이 다음과 같이 있을 예정이오니 응시학생께서는 참고하시기 바랍니다.
필답시험일: 2021.08.13(금)
- 수치편미분방정식: 오전9시~오전11시(2시간)
- 수치해석: 오후12시~오후2시(2시간)
시험장소: 첨단관6층 (당일 공지 예정/방역수칙 준수/오프라인시험 실시)
가이드라인:
[NPDE Guidelines]
Qualifying Examination Guideline for Numerical Partial Differential Equations
The examination includes basic theories of 'Finite difference method, Finite volume method, Finite element method'.
Material : Lecture notes of NPDE
유한차분법, 유한체적법, 유한요소법 기본 이론
강의노트 참조
[NA Guidelines]
Introduction
Error, Norms, Analysis (Conditioning, Stability, Accuracy)
Nonlinear Equations
Implementation, pros and cons, and analysis of 1-D and n-D algorithms
Approximation Theory
Interpolation, Least Squares Approximation, Best uniform approximation
Numerical Integration
Derivation, implementation and analysis of Newton-Cotes formula, Clenshaw-Curtis quadrature rules, Gaussian quadrature rules, Composite quadrature rule, Romberg integration, and Adaptive Quadrature
Ordinary Differential Equations
Derivation, implementation and analysis of
Taylor Series Methods, Runge-Kutta methods, Multi-step methods for IVP
Shooting methods, Finite difference methods, Collocation methods, Galerkin methods for BVP
Optimization
Implementation, and analysis of 1-D and (Unconstrained and constrained) n-D algorithms