MTH3011 Partial differential equations

When you finish this unit, you should be able to:

1. 1

   Solve a range of nonlinear partial differential equations using a variety of technique;

2. 2

   Appreciate the properties of multi-dimensional partial differential equations, including suitable initial and/or boundary conditions;

3. 3

   Demonstrate an understanding of the mathematical properties of inhomogeneous partial differential equations and solve them exactly under some simple conditions using in particular Duhamel’s principle;

4. 4

   Demonstrate an understanding of the principles of numerical analysis for ordinary and partial differential equations, including the stability and consistency analysis of the schemes;

5. 5

   Choose specific output formats for and interpret the results of numerical schemes for various models.