Lectures related to Fubini Theorem: Integrability and Order of Integration

Explains the Fubini theorem for closed sets and volume calculations.

Berni Alder Prize: Celebrating 50 Years of CECAM

Commemorates 50 years of CECAM and the Berni J. Alder CECAM Prize, covering milestones in computational methods, quantum mechanics, slip motion, and more.

Integral Calculus of Functions in Several Variables

Covers the integration of functions in several variables, Darboux sums, and Fubini's theorem on a closed box.

Differential Forms Integration

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Numerical Differentiation and Integration

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

Trade-offs in Data and Time

Explores trade-offs between data and time in computational problems, emphasizing diminishing returns and continuous trade-offs.

Numerical Integration: Order and Convergence

Explores numerical integration order and convergence for accuracy in numerical methods.

Finite Differences Formulas: Error Analysis

Explores finite differences formulas, error analysis, and numerical experiments in computational mathematics.

Scientific Computing in Neuroscience

Explores scientific computing in neuroscience, emphasizing the simulation of neurons and networks using tools like NEURON, NEST, and BRIAN.

Debugging and Computational Methods

Covers debugging techniques in Python and computational methods like frequency power calculation and bird sound detection.

Mechanics of Slender Structure: Naturally Curly Hair in 3D

Delves into the mechanics of slender structures using naturally curly hair in 3D as an example.

Advanced Analysis II: Differential Equations and Timers

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Manifolds: Charts and Compatibility

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Explicit Stabilised Methods: Applications to Bayesian Inverse Problems

Explores explicit stabilised Runge-Kutta methods and their application to Bayesian inverse problems, covering optimization, sampling, and numerical experiments.

AI for Science

Explores fundamental principles in scientific research, the impact of computers, numerical algorithms, and deep learning in solving high-dimensional problems.

Numerical Integration: Introduction to SciPy and Matplotlib

Covers numerical integration techniques using SciPy and Matplotlib for visualizing functions and approximating integrals.

Volume Calculation in R^3

Covers the calculation of volumes of subsets in R^3 using double integrals.

Nonlinear Equation Resolution: Introduction to Bisection Method

Introduces the bisection method for resolving nonlinear equations using numerical techniques and Python programming.

Change of Variables: Integrability and Fubini's Theorem

Explores changing variables in double integrals and applying Fubini's theorem in R² for simplifying calculations.

Numerical Analysis: Nonlinear Equations

Covers algorithms for solving mathematical problems approximately using a computer, including nonlinear equations and numerical approximation methods.