Week 1.3

Numerical Modelling

• Book theory

  • Implicit methods for nonlinear ODE

  • Multi-step and multi-stage methods

  • Boundary-value Problems: second-order ODE

• Lecture slides

• Collegerama recording (TU Delft login required)

• Workshop assignment: Beam Me Up

  • Part 1: Boundary Value Problem: Euler-Bernoulli Bending Beam

  • Part 2: Solving a non-linear initial-value problem with the implicit Euler scheme

• Group assignment: Mind Your Step Size!

  • Numerical solution of nonlinear ODE

  • Report

Programming

Visual Studio Code best-practices

• Programming Assignment: VS Code Power Moves

  • VS Live Share

  • VS IntelliSense

Programming preparations for workshop and group assignments

• Programming Assignment: VS Code Power Movestml)

  • Matrix Vector Manipulations

Fundamental programming concepts

• Programming Assignment: VS Code Power Moves

  • Modules and numpy