Interpolation of Degree 1 by Intervals

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Covers the interpolation of nonlinear functions using Lagrange polynomials and error analysis.

Explores trigonometric interpolation for approximating periodic functions and signals using equally spaced nodes.

Covers the Newton method for finding zeros of functions using data interpolation.

Explores modeling and interpolation techniques in geomatics for accurate surface generation.

Covers the Lagrange polynomial interpolation method and error analysis in function approximation.

Explores polynomial interpolation theory, emphasizing error expression and piecewise definition.

Introduces Lagrange interpolation for approximating data points with polynomials, discussing challenges and techniques for accurate interpolation.

Covers the Finite Element Method, discussing the derivation of the equation of motion and exploring mass and stiffness matrices.

Covers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.

Introduces the basics of finite element modeling for dynamics and discusses the Newmark method for time integration.