Introduction to Macm 316 Differentiation
Exploring Macm 316 Differentiation reveals several interesting facts. Discussed 2-pt formulas (forward, backward difference), and 3-pt formulas (left end, right end, and mid-point) for first order ...
Macm 316 Differentiation Comprehensive Overview
Differentiation Discussed the closed/open Newton-cotes formulas, and the composite trapezoidal rule and composite Simpson's rule. Discussed Lagrange interpolations (including Modified Lagrange and Barycentric formula), Newton's interpolation and Piecewise ...
Parametric interpolation with cubic spline.
Summary & Highlights for Macm 316 Differentiation
- Lagrange interpolation.
- Discussed the difference between interpolation and least square fitting, the derivation of normal equation, and the efficiency of the ...
- recommended review order: hand computation, error bound of each algorithm, homeworks, computing assignments, midterms, ...
- Power method for approxmating eigenvalues and and eigenvectors.
- Discussed the Euler's method for solving the initial value problem of ODE.
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