Catherine E. Powell's research page


Research interests

My research is mainly concerned with numerical linear algebra for solving sparse, structured systems of equations arising in finite element discretisations of partial differential equations. I am currently interested in numerical methods, efficient solvers and preconditioners for PDEs with random data.





Book

An Introduction to Computational Stochastic PDEs (by G. Lord, C.E. Powell and T. Shardlow)

This is a graduate textbook, aimed at introducing recent graduates with a good grounding in applied mathematics and numerical analysis to various elements related to stochastic differential equations. It should be available in the US from 31st July 2014 and in the UK a little later.

More information can be found at the CUP book web page, the Amazon UK book web page or the Amazon US web page .

An electronic version of the book in secure pdf format is also available from ebooks.com. Note that although other electronic formats are available, the mathematics only displays correctly in pdf format.

MATLAB files associated with the book and solutions (for verified course instructors only) are available HERE .

Software

Lecture Notes


Publications

Most of the following pieces of work can be obtained from journals or as preprints. Copies of papers which have no active links can be obtained from me by sending me an e-mail and asking nicely.

Past Research Projects