Numerical Analysis

수학과 복수전공을 위해 졸업 마지막 학기에 “수치해석개론(MATH351)” 수업을 듣게 되었습니다. 수학과 졸업시험도 겸사겸사 준비할 겸 화이팅 해봅시다!!

• Error Analysis
  • Truncation Error
  • Round-off Error
• Root-finding
  • Bisection Method
  • Fixed-point Method
  • Newton’s Method
  • Secant Method
  • Method of False Position
• Interpolation and Polynomial Approximation
  • Lagrange Interpolation
    • Lagrange Interpolation - Nodal Polynomial
    • Lagrange Interpolation - Vandermonde Matrix
  • Newton’s Divided Differences
  • Interpolation Error Theorem
  • Interpolation for Uniformly Spaced Nodes, Runge Phenomenon
  • Hermite Interpolation
    • Hermite Interpolation using Divided Differences
  • Spline Interpolation
    • Cubic Spline
    • Natural Cubic Spline
  • Interpolation Differentiation

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중간고사

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• Numerical Differentiation
• Numerical Integration
  • Trapezoid Rule
  • Simpson’s Rule
  • Newton-Cotes Method
  • Composite Newton-Cotes Method
  • Gaussian Quadrature
• Numerical Methods for ODEs
  • One-step Method
    • Forward Euler Method
    • Backward Euler Method
    • Trapezoid Method
  • Taylor Method
  • Runge-Kutta Method
  • Adams-Bashforth Method
  • Adams-Moulton Method
  • Predictor-Corrector Method
• Approximation Theory
  • Least Square Method
  • Continuous Least Square Method
• Zero-Stability
  • Characteristic Equation
• A-stable

A-stability

Problem Solving

• Before Midterm
• Before Final