Brief Information

• Name :?Numerical Analysis 2
• Lecturer : 이진우
• Semester : 2015 Spring
• Course :?BS, Mathematics
• Textbook
  • Sauer, T. (2011) Numerical Analysis. 2nd Ed. Pearson
• Syllabus 😕Syllabus_2015-4-1__Numerical Analysis 2
• In?short
  • Numerical Analysis with implementation using MATLAB
  • Numerical Differentiation and Integration, Ordinary Differential Equations, Boundary Value Problems, Partial Differential Equations, Random Numbers and Applications

Trace lectures

• Numerical Differentiation Methods (ND)
  • two-point forward-difference formula (ND?1)
  • three-point centered-difference formula?(ND?2)
  • three-point centered-difference formula for second derivative
  • rounding error
  • extrapolation
• Numerical Integration Methods (NI)
  • Newton-Cotes formulas for numerical integration
  • trapezoid rule
  • Simpson’s rule
  • degree of precision
  • composite trapezoid rule?(NI?1)
  • composite Simpson’s rule?(NI 2)
  • midpoint rule
  • composite midpoint rule?(NI 3)
  • adaptive quadrature (NI 4)
  • Gaussian quadrature (NI 5)
• ODE Solvers (ODE)
  • Euler’s method (ODE 1)
  • Lipschitz continuity
  • local truncation error
  • global?truncation error
  • the explicit trapezoid method?(ODE 2)
  • Conversion from the nth-order differential equation into a system of first-order equations
  • midterm exam ? ? ? ??
  • midpoint method
  • Runge-Kutta Method of order four (RK4)
• BVP Solvers (BVP)
  • shooting method
• PDE Solvers (PDE)
  • stability of methods

Assignments

Summarize?themes

• A
• B
• C