Template:MATHS 787:Summary

From MathsDept

MATHS 787 Summary

Availability: S2 C

Points: 15

COURSE DESCRIPTION

Each of these courses (MATHS 786 - 789) deals with some special topic(s) from applied mathematics Not all of them are offered every year; further information may be obtained from the Department of Mathematics.

This course can be taken either as a supervised reading paper or project or as a course on Numerical Methods for Differential Equations.

Numerical Methods for Differential Equations

This course is intended for students who are familiar with standard methods for solving ordinary differential equations, such as Runge–Kutta methods and linear multistep methods, or who have an interest in learning about these methods.

The content will be divided into three parts. First we will consolidate and formalise existing knowledge of the traditional methods. We will then introduce some new and more specialised topics, some of which are associated with so called “General linear methods”, which are generalisations of both Runge-Kutta and linear multistep methods. Finally, we will go more seriously into some of the new topics, with the actual selection based on interests that will have developed amongst members of the class.

Throughout the course the emphasis will be balanced between theoretical and practical considerations.