Numerical Derivatives of Order 1: Finite Differences Progressive

Related lectures (28)

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

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.

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

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

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

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

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.

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

Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.