Lectures related to Numerical Methods in Biomechanics: Introduction

Scientific Computing in Neuroscience

Explores the history and tools of scientific computing in neuroscience, emphasizing the simulation of neurons and networks.

Computational Science and Engineering: Master Program Overview

Outlines the Master in Computational Science and Engineering program at EPFL, detailing its structure, projects, and career opportunities for graduates.

Richards Equation: Water Transfers Simulation

Explores water transfers simulation using the Richards equation and numerical methods.

Programming for Engineers: MATLAB Integration and Differentiation

Explores MATLAB integration, differentiation, ODE solvers, and simulation techniques for dynamic systems.

Numerical Methods in Biomechanics: Hip-A

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

Efficient Stochastic Numerical Methods

Explores efficient stochastic numerical methods for modeling and learning, covering topics like the Analytical Engine and kinase inhibitors.

Biological Scope and Computational Simulation

Explores connecting biological scope with computational simulation methods and discusses various simulation environments for modeling neural activity.

Numerical Modeling in Biomechanics

Explores numerical modeling in biomechanics, covering musculoskeletal pathologies, modeling objectives, advantages, drawbacks, history, and fluid dynamics in bone-implant gaps.

Introduction to Numerical Methods in Scientific Computing

Covers elementary numerical methods and algorithmic thinking using Python for scientific computing.

Verlet Scheme: Magnetic Fields and Speed Dependent Forces

Explores the Verlet scheme, magnetic fields, speed-dependent forces, and nonlinear physics through simulations and exercises.

Numerical Methods: Differential Equations

Covers the application of numerical methods to solve differential equations using MATLAB.

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.

Numerical Methods in Hydrodynamics

Covers numerical methods in hydrodynamics, ideal fluids, plasma universe, dark matter simulation, and baryon modeling.

Numerical Differentiation: Part 1

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

Scientific Computing with Python

Covers the basics of scientific computing with Python, focusing on programming, algorithms, and numerical methods.

Numerical Derivation: Formulas and Approaches

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

Numerical Methods: Iterative Techniques

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

Molecular dynamics under constraints

Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.

Verification and validation

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

Numerical Analysis: Introduction to Interpolation Techniques

Covers the basics of numerical analysis, focusing on interpolation methods and their applications in engineering.