Lecture notes for MP354

Lecture material

• Lecture 1: Introduction
• Lecture 2: Discretisation, numerical differentiation.
• Lecture 3: Differentiation.
• Lecture 4: Root finding.
• Lecture 5: Root finding, numerical integration.
• Lecture 6: The Euler method, higher-order ODEs, stability.
• Lecture 7: Stability, Runge-Kutta methods
• Lecture 8: Runge-Kutta methods, vectorisation, adaptive step size
• Lecture 9: Adaptive stepsize, boundary value problems.
• Lecture 10: Boundary value problems for ODEs.