@book {19347,
	title = {Finite Elements and Fast Iterative Solvers : with Applications in Incompressible Fluid Dynamics},
	year = {2005},
	month = {2005},
	pages = {416},
	publisher = {Oxford University Press},
	organization = {Oxford University Press},
	abstract = {The subject of this book is the efficient solution of partial differential equations (PDEs) that arise when modelling incompressible fluid flow. The material is organized into four groups of two chapters each, covering the Poisson equation (chapters 1 \& 2); the convection-diffucion equation (chapters 3 \& 4); the Stokes equations (chapters 5 \& 6); and the Navier-Stokes equations (chapters 7 \& 8). These equations represent important models within the domain of computational fluid dynamics, but they also arise in many other settings. For each PDE model, there is a chapter concerned with finite element discretization. For each problem and associated solvers there is a description of how to compute along with theoretical analysis which guides the choice of approaches. Illustrative numerical results occur throughout the book, which have been computed with the freely downloadable IFISS software. All numerical results should be reproducible by readers who have access to MATLAB and there is considerable scope for experimentation in the {\textquoteright}computational laboratory{\textquoteright} provided by the software. This book provides an excellent introduction to finite elements, iterative linear solvers and scientific computing aimed at graduates in engineering, numerical analysis, applied mathematics and interdisciplinary scientific computing. Including theoretical problems and practical exercises closely tied with freely downloadable MATLAB software, this book is an ideal teaching and learning resource.},
	keywords = {Computers / Computer Science, Mathematics / Numerical Analysis, Science / Mechanics / Fluids, Science / Physics / General, Technology \& Engineering / Mechanical},
	isbn = {9780191523786},
	author = {Elman, Howard and Silvester, David J and Wathen, Andrew J}
}
@book {17708,
	title = {Matrix Algorithms: Eigensystems},
	year = {2001},
	month = {2001/08/30/},
	publisher = {SIAM},
	organization = {SIAM},
	abstract = {This is the second volume in a projected five-volume survey of numerical linear algebra and matrix algorithms. It treats the numerical solution of dense and large-scale eigenvalue problems with an emphasis on algorithms and the theoretical background required to understand them. The notes and reference sections contain pointers to other methods along with historical comments. The book is divided into two parts: dense eigenproblems and large eigenproblems. The first part gives a full treatment of the widely used QR algorithm, which is then applied to the solution of generalized eigenproblems and the computation of the singular value decomposition. The second part treats Krylov sequence methods such as the Lanczos and Arnoldi algorithms and presents a new treatment of the Jacobi-Davidson method. These volumes are not intended to be encyclopedic, but provide the reader with the theoretical and practical background to read the research literature and implement or modify new algorithms.},
	keywords = {eigenvalues, Mathematics / Algebra / Linear, Mathematics / Applied, Mathematics / General, Mathematics / Mathematical Analysis, Mathematics / Matrices, Mathematics / Numerical Analysis, Matrices, Medical / General},
	isbn = {9780898715033},
	author = {Stewart, G.W.}
}
@book {17707,
	title = {Matrix Algorithms: Basic decompositions},
	year = {1998},
	month = {1998/08/01/},
	publisher = {SIAM},
	organization = {SIAM},
	abstract = {This thorough, concise, and superbly written volume is the first in a self-contained five-volume series devoted to matrix algorithms. It focuses on the computation of matrix decompositions - the factorization of matrices into products of similar ones. The first two chapters provide the required background from mathematics and computer science needed to work effectively in matrix computations. The remaining chapters are devoted to the computation and applications of the LU and QR decompositions. The series is aimed at the nonspecialist who needs more than black-box proficiency with matrix computations. A certain knowledge of elementary analysis and linear algebra is assumed, as well as a reasonable amount of programming experience. The guiding principle, that if something is worth explaining, it is worth explaining fully, has necessarily restricted the scope of the series, but the selection of topics should give the reader a sound basis for further study.},
	keywords = {Mathematics / Algebra / General, Mathematics / Algebra / Linear, Mathematics / Applied, Mathematics / Mathematical Analysis, Mathematics / Matrices, Mathematics / Numerical Analysis, Matrices},
	isbn = {9780898714142},
	author = {Stewart, G.W.}
}
