This
PDF is prepared by Gonzalo Galiano Casas and Esperanza Garcia Gonzalo from the
Department of Mathematics at Oviedo University. With a view to keeping things
compact, this document initiates with finite arithmetic and error analysis,
which forms the basis necessary for understanding the issue of numerical
precision and limitations. It considers methods for nonlinear equations,
interpolation, and approximation. Key sections on numerical differentiation and
integration give hands-on tools both for data analysis and the solution of
mathematical problems. It also covers systems of linear equations and
optimization, rounding it out for students and practitioners who might want to
apply the numerical methods through a variety of problems.
Author(s): Gonzalo Galiano Casas, Esperanza Garcia Gonzalo, Dept. of Mathematics, Oviedo University
This PDF covers the following topics related to Numerical Computation, Modeling Immiscible Fluid Flow in Porous Media, Basic Properties of Multiphase Flow Equations, Fully Implicit Finite Volume Discretization, Solution of Algebraic Equations, Parallelization, UG, A Framework for Unstructured Grid Computations, Numerical Results.
This book is a technical reference to the floatingpoint environment supported on SPARCTM and x86 platforms running under the Solaris operating system. The book describes the FloatingPoint Environment, the representation and computation of floating point numbers and how the results of arithmetic operations are rounded. The Software and Hardware Support section describes how numerical operations are passed between the hardware and software of the system. The book should be indispensable to anyone seeking an understanding of how numerical computations are executed and optimized on Solaris systems. In particular, it will be an asset worth having in real life for developers and engineers working in the field of numerical algorithms within this particular environment of computing and offers a deep view into performance and accuracy considerations.