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In this program

Bisection and fixed-point iteration
Newton's method
Secant method
Convergence analysis (informal)
Lagrange and Newton interpolation polynomials
Runge phenomenon
Piecewise polynomial interpolation
Splines (linear and cubic) and their continuity conditions

Root finding and interpolation

Piecewise polynomial interpolation

Numerical analysis · Standard syllabus

Topic

Piecewise polynomial interpolation

Practice by unit: Root finding and interpolation

Undergraduate Numerical Analysis — scope drawn from open numerical analysis texts (e.g. Heath / Sauer-style OER mirrors) and typical US numerical analysis syllabi.

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