History and Applications of Numerical Methods

Related lectures (29)

Page 3 of 3

Explores numerical methods for unsteady flow simulation, emphasizing time integration techniques and boundedness criteria.

Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.

Covers Richardson extrapolation for numerical differentiation to reduce error.

Explores the sensitivity of solutions in numerical methods, including linear systems and matrix norms, with an example of deblurring images.

Explores inference for stochastic differential equations, focusing on numerical methods and convergence analysis.

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

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

Provides a crash course on finite elements for elliptic problems, emphasizing the Galerkin method and quasi-optimality.

Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.