Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …

Many advances in the development of Krylov subspace methods for the iterative solution of
linear systems during the last decade and a half are reviewed. These new developments …

In the six years that have passed since the publication of the first edition of this book,
iterative methods for linear systems have made good progress in scientific and engineering …

We present an iterative method for solving linear systems, which has the property of
minimizing at every step the norm of the residual vector over a Krylov subspace. The …

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 …

The mathematical theory of Krylov subspace methods with a focus on solving systems of
linear algebraic equations is given a detailed treatment in this principles-based book …

Large linear systems of saddle point type arise in a wide variety of applications throughout
computational science and engineering. Due to their indefiniteness and often poor spectral …

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 …

This book describes why and how to do Scientific Computing for fundamental models of fluid
flow. It contains introduction, motivation, analysis, and algorithms and is closely tied to freely …

This paper concerns an acceleration method for fixed-point iterations that originated in work
of DG Anderson [J. Assoc. Comput. Mach., 12 (1965), pp. 547–560], which we accordingly …