Prof. Dr. Wesley P. PetersenSeminar for Applied Mathematics
by W. Petersen and P.
Arbenz, published by Oxford University Press, January, 2004, and a
second printing in April, 2006.
Related information: OUP link, with software examples and exercises: software
PhD. thesis by Fabian M. Buchmann: completed April 2004.
with Christoph Schwab: data compression, in Herbstsemeser 2007.
Simulation of complex stochastic differential equations with
applications in quantum statistical mechanics. This is joint work with
Christian Perret (SAM), Matthias Troyer, and Philippe Corboz (Inst.
für Theor. Physik). An error analysis for such SDE
simulations is necessary and will be the principle focus.
An RW project which tests the suitability of IBM/Sony CELL processors for scientific work was begun in late 2006. It is in collaboration with R. Jeltsch, G. Lake (Univ. of Zürich), M. Troyer (ITP, Physik), and collaborators from Berkeley Laboratory (NERSC). Mauro Calderara, François Gaignat, and Jonathan Coles from Uni Zürich have completed an initial project of high-precision arithmetic on SPUs. A paper on HFN (high. prec. floating point numbers) is in preparation for "Scientific Programming." The multiple levels of parallelism available on CELL (CBEs), including OpenMPI inter-PS3 communication, will be studied in a parallel computing course. This course is given in alternate years by P. Arbenz and myself. See: cluster.qubits.ch.