Department of Mechanical Engineering, Unit Catalogue 2006/07

ME20014 Modelling techniques 1

Credits: 6

Level: Intermediate

Semester: 1

Assessment: EX60CW40

Requisites:

Aims:
* To continue to develop algorithm design and programming techniques in C++.
* To acquire a large variety of numerical and mathematical techniques to be used for those engineering problems modelled in terms of ODEs.
* To provide a strong mathematical and computational foundation for solving equations arising in the modelling of engineering systems.
Learning Outcomes:
After taking this unit the student should be able to:
* Understand how the various standard ordinary differential equations (ODEs) arise in engineering.
* Understand and use numerical techniques in the solution of such ODEs.
* Understand and apply the techniques of Fourier series and Laplace transforms to ODEs.
* Understand the use of object orientation and its relation to C++ classes.
Skills:
Problem solving; numeracy; working independently.
Content:
Numerical solution of ordinary differential evolution equations using Euler's method and the Runge-Kutta methods, including reduction to first order form and numerical stability analysis. Numerical solution of two-point ordinary differential boundary value problems using a direct method (the tridiagonal matrix algorithm and an indirect method (the shooting method). Local and Global Truncation Errors: choosing a suitable numerical method and the improvement of accuracy. Translating engineering problem statements in English into ODEs, and hence into C++ software. C++ classes, private and public member data and functions, constructors and destructors and their relationship with memory management, data hiding, and Fourier Series and Laplace transforms.

University | Catalogues for 2006/07