Skip to content | Change text size
 

M4322 parallel methods of partial differential equations

Aims: The purpose of this unit is to introduce the student to numerical methods for solving partial differential equations on modern multi-processor computers. The unit will concentrate on finite-difference and finite-volume methods for the incompressible Navier-Stokes equations. Assessment of the unit will be primarily project based.

Syllabus: Introduction to Unix on serial and parallel machines, Fortran 90, MPI subroutine library and IDL graphics package. Serial solution of hyperbolic, parabolic and elliptic partial differential equations. A serial algorithm for the Navier-Stokes equation. Parallel solution of canonical partial differential equations. Parallel algorithms for the Navier-Stokes equation. Domain decomposition methods. Use of Parallel Libraries.

Prerequisites: MTH3011 Partial differential equations.

References:
Morton, K.W. & Mayers, D.F., Numerical solution of partial differential equations, Cambridge, 1994.
Gropp, W., Lusk, E. & Skjellum, A., Using MPI, M.I.T. Press, 1999.

Lecturer: Simon Clarke



 
For current students