Unit · year 3
MU-308 · Numerical Analysis
Threads change4 theorems
Approximating the continuous with the computable, and controlling the error.
Theorems in this unit
T-114
Convergence of fixed-point iteration
Contraction guarantees convergence of iterative schemes.
T-115
Convergence of Newton's method
Quadratic convergence near a simple root.
T-116
Lagrange interpolation and its error
The unique interpolating polynomial and its remainder.
T-117
Gaussian quadrature
Optimal node placement integrates high-degree polynomials exactly.