Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications

ISBN-13: 9781498764162 / Angielski / Twarda / 2018 / 354 str.

Daniele Bertaccini; Fabio Durastante

Opis

This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems.

The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.

Spis treści

Introduction and Motivations; Some iterative algorithms for linear systems; General purpose preconditioning strategies; Preconditioners for some structured linear systems; Appendix A: A Review of Numerical Linear Algebra; Appendix B: Data sets and software codes

O autorze

Daniele Bertaccini, Ph.D is currently a professor at Università di Roma Tor Vergata. Fabio Durastante, Ph.D is a postdoctoral researcher. Their research interests are mainly the large and sparse and/or structured linear systems arising in the numerical solution of partial and fractional differential equations with their applications in fluid dynamics, optimization and imaging.