Finite Element Method: Interpolation and Integration

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Covers the isoparametric formulation in the context of the finite element method.

Explores error analysis and limitations in interpolation on evenly distributed nodes.

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

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

Covers the basics of numerical analysis, focusing on interpolation methods and their applications in engineering.

Explores numerical differentiation methods and round-off errors in computer computations.

Explores Lagrange interpolation for polynomial construction and introduces the definite integral.

Covers Lagrange interpolation using intervals to find accurate polynomial approximations.

Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.

Covers the basics of Newton interpolation and interpolation polynomials using Lagrange and Newton methods.