Numerical Partial Differential Equations (U03664)

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

This course provides an introduction to the numerical treatment of partial differential equations (PDEs). We will first consider the classical theory and discuss the wave equation (d'Alembert in 1747), the heat equation (Fourier 1822) and the Laplace equation (Laplace 1785, Legendre 1785). Many interesting PDEs may not have a solution in a classical sense and we will introduce variational methods and weak solutions for such problems. Numerical methods to approximate both classical and weak solutions will be discussed.

? Keywords :

Entry Requirements

? Pre-requisites : MAT-3-PAA, MAT-3-CVD

Subject Areas

Home subject area

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

Delivery Information

? Normal year taken : 4th year

? Delivery Period : Not being delivered

? Contact Teaching Time : 2 hour(s) per week for 11 weeks

All of the following classes

Type	Day	Start	End	Area
Lecture	Sunday	11:10	12:00	KB

Summary of Intended Learning Outcomes

1. Familiarities with different type of PDEs.

2. Knowledge about classical and variational methods for simple PDE model problems.

3. Knowledge about numerical methods for the approximation of classical and weak solution of simple PDE model problems.