Lectures related to Numerical stability

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Covers direct methods for solving linear systems in numerical analysis.

Covers the numerical approach to derivative calculation, focusing on formulas and methods such as fine differences.

Covers the basics of Numerical Analysis, emphasizing the importance of numerical methods in solving mathematical problems with computers.

Explores numerical methods in biomechanics for hip implants and emphasizes understanding conditions for improved designs and patient outcomes.

Covers Ordinary Differential Equations, first-order solutions, and numerical methods for IVP and BVP.

Covers the retrograde Euler method, an implicit numerical scheme used to solve equations and the concept of convergence order.

Focuses on numerical modelling of atmospheric processes to predict weather and climate phenomena, covering key concepts and methods.

Explores stability in ODEs, including error checks, equilibrium points, and global attractors, with a focus on numerical schemes like Euler's method.

Covers numerics for fluids, structures, and electromagnetics, emphasizing the importance of eigenvalues and eigenfunctions.

Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.

Explores the compensation capacities of operational amplifiers to mitigate imperfections in output signals.

Explains how to calculate the orientation of a station in geomatics.

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

Explores the practical approach of homogenizing reactor core analysis and the calculation route for multigroup diffusion equations.

Covers the verification and validation process in numerical flow simulation, ensuring credibility of simulation outcomes.

Covers the derivation of multi-group diffusion equations and the numerical methods for solving the neutron diffusion equation.

Covers the implementation of numerical methods in MATLAB for solving chemical problems.

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Introduces the Euler Forward Method for ODEs, focusing on error analysis and stability.