Lectures related to Numerical analysis

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

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

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

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

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

Covers direct methods for solving linear systems in numerical analysis.

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

Explores the Thomas algorithm for tridiagonal systems and the accuracy of direct methods in numerical computations.

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

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

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

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

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

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

Covers the basics of numerical analysis and computational methods using Python, focusing on algorithms and practical applications in mathematics.

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

Explores transient stability in power systems dynamics, covering algebraic equations, generator models, and numerical integration techniques.

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

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

Provides an overview of the Numerical Analysis course at EPFL, focusing on course organization, materials, and learning outcomes.