Numerical Differentiation and Integration

Related lectures (30)

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Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

Explores the composite quadrature formula, digital integration, and numerical integration techniques using interpolating polynomials.

Explores hydroacoustic modeling through electrical analogies, discussing resolution methods, simplified equations, and physical interpretations.

Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.

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

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.

Covers the key concepts behind the Finite Element Method and its applications in linear statics.

Explores backward and central differences for numerical differentiation, analyzing their properties and error analysis.

Explores transient stability in power systems dynamics, covering algebraic equations, generator models, and numerical integration techniques.

Covers Simpson's rule for numerical integration and its accuracy for polynomial functions.