Numerical Differentiation and Integration

Related lectures (27)

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

Covers numerical differentiation and integration techniques using examples and quadrature formulas.

Covers numerical differentiation, integration, finite differences, Taylor expansions, and interpolation polynomials.

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Covers the concept of numerical derivatives of order 1 and the importance of choosing a small fixed value for h.

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

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.

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

Explores numerical differentiation using finite differences and addresses the impact of errors in computer computations.

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