This paper aims to provide a comprehensive review on Markovian arrival processes (MAPs),
which constitute a rich class of point processes used extensively in stochastic modelling. Our …

The aim of this book is to outline the recent development of Markov chain models and their
applications in queueing systems, manufacturing systems, remanufacturing systems …

In this book, we introduce current developments and applications in using iterative methods
for solving Toeplitz systems. Toeplitz systems arise in a variety of applications in …

Page 1 NUMERICAL MATHEMATICS AND SCIENTIFIC COMPUTATION Iterative Methods
for Toeplitz Systems MICHAEL K. NG OXFORD SCIENCE PUBLICATIONS Page 2 Page 3 …

Systems of linear algebraic equations are ubiquitous in mathematical modeling and
scientific computing, and iterative methods are indispensable for the numerical treatment of …

In this paper, we analyze the spectra of the preconditioned matrices arising from discretized
multi-dimensional Riesz spatial fractional diffusion equations. The finite difference method is …

Markov chains are commonly used in modeling many practical systems such as queuing
systems, manufacturing systems and inventory systems. They are also effective in modeling …

Revolutionary computing technologies are driving significant advances in the manufacturing
domain. High-fidelity simulations and virtual design environments allow unprecedented …

Inexact versions of the block-triangular preconditioners for nonsymmetric matrices of block
two-by-two structures in [MF Murphy, GH Golub, and AJ Wathen, SIAM J. Sci. Comput., 21 …

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 …