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 new graduate textbook, designed to introduce recent graduates with a good grounding in applied mathematics and numerical analysis to stochastic differential equations. It assumes no prior knowledge of probability.

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