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Lecture
Piecewise Linear Interpolation and Spline Interpolation
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Piecewise Linear Interpolation
Covers the concept of piecewise linear interpolation and the importance of dividing intervals correctly.
Error Analysis and Interpolation
Explores error analysis and limitations in interpolation on evenly distributed nodes.
Spline Interpolation: Definition and Error Analysis
Explains spline interpolation and error analysis in approximating data points using piecewise linear and spline methods.
Lagrange Interpolation
Introduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.
Nonlinear Equations: Interpolation and Error Analysis
Covers the interpolation of nonlinear functions using Lagrange polynomials and error analysis.
Trigonometric Interpolation: Approximation of Periodic Functions and Signals
Explores trigonometric interpolation for approximating periodic functions and signals using equally spaced nodes.
Numerical Analysis: Polynomial Interpolation Techniques
Provides an overview of polynomial interpolation techniques in numerical analysis, focusing on Lagrange interpolation and error estimation methods.
Polynomial Interpolation: Error and Definition
Explores polynomial interpolation theory, emphasizing error expression and piecewise definition.
Matlab: 3D Surface Plotting
Covers logical arrays, 3D surface plotting, parametric curves, interpolation, and fitting in Matlab.
Polynomial Interpolation: Error Analysis, Stability
Covers polynomial interpolation, error analysis, stability, and piecewise linear interpolation using equally distributed nodes.