Lectures related to Numerical Differentiation and Integration

Explores approximation methods and weak variational forms in numerical methods.

Covers explicit stabilized methods for stiff stochastic differential equations, analyzing their properties and applications.

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

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

Covers root-finding methods, focusing on the bisection and secant techniques, their implementations, and comparisons of their convergence rates.

Introduces numerical optimization with Scipy, covering zero finding, problem dimensionality, derivatives, and advanced visualization techniques.

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