? Credit Points : 10  ? SCQF Level : 10  ? Acronym : MAT-4-DyM

Course for final year students in Honours programmes in Mathematics.

1. Construction of dynamical models
2. Introduction/review of classical mechanics
3. Numerical methods for ODEs - elementary stability/accuracy/ convergence of 1-step methods
4. Geometric integrators (eg. symplectic/volume-preserving/time-reversible methods)
5. Backward error analysis

? Pre-requisites : U01479 Methods of Applied Mathematics, U01478 Linear Algebra and Physics 1

Home subject area

Specialist Mathematics & Statistics (Honours), (School of Mathematics, Schedule P)

? Normal year taken : 4th year

? Delivery Period : Semester 1 (Blocks 1-2)

? Contact Teaching Time : 2 hour(s) per week for 10 weeks

All of the following classes

Type Day Start End Area Lecture Tuesday 10:00 10:50 KB Lecture Friday 10:00 10:50 KB

? Additional Class Information : Additional computer lab sessions

1. gain an understanding of dynamical modelling principles, including geometric integration

2. gain familiarity with numerical analysis techniques for ordinary differential equations, including concepts like accuracy and stability

3. explore various applications of dynamical simulation, including molecular dynamics and physically based modelling

4. learn to use the software package Matlab to implement and visualise results from a dynamical simulation

30% Coursework and 70% Examination

Exam times

Diet Diet Month Paper Code Paper Name Length 1ST May 1 - 2 hour(s)

The Course Secretary should be the first point of contact for all enquiries.

Course Secretary

Ms Jennifer Marshall
Tel : (0131 6)50 5048
Email : Jennifer.Marshall@ed.ac.uk

Course Organiser

Dr Liam O'Carroll
Tel : (0131 6)50 5070
Email : L.O'Carroll@ed.ac.uk

Course Website : http://student.maths.ed.ac.uk

School Website : http://www.maths.ed.ac.uk/

College Website : http://www.scieng.ed.ac.uk/