Weather forecasts produced with numerical weather prediction (NWP) models of the
atmosphere possess intrinsic uncertainty. This uncertainty is caused through both errors in …

A bstract Heisenberg time evolution under a chaotic many-body Hamiltonian H transforms
an initially simple operator into an increasingly complex one, as it spreads over Hilbert …

In an isolated system, the time evolution of a given observable in the Heisenberg picture can
be efficiently represented in Krylov space. In this representation, an initial operator becomes …

In this review we discuss quantum dynamically based theoretical methods for studying
bimolecular gas phase chemical reactions. The scope is largely limited to reactions …

This textbook covers both direct and iterative methods for the solution of linear systems, least
squares problems, eigenproblems, and the singular value decomposition. Earlier versions …

It is trite but true to say that research on the symmetric eigenvalue problem has flourished
since the first edition of this book appeared in 1980. I had dreamed of including the …

This is a revised edition of a book which appeared close to two decades ago. Someone
scrutinizing how the field has evolved in these two decades will make two interesting …

The problem of computing a small vertex separator in a graph arises in the context of
computing a good ordering for the parallel factorization of sparse, symmetric matrices. An …

In recent years much research has focused on the efficient solution of large sparse or
structured linear systems using iterative methods. A language full of acronyms for a …

In many large scale scientific or engineering computations, ranging from computing the
frequency response of a circuit to the earthquake response of a buildingto the energy levels …