id: 05359576
dt: b
an: 2011d.00823
au: O’Leary, Dianne P.
ti: Scientific computing with case studies.
so: Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM)
(ISBN 978-0-898716-66-5/pbk). xvi, 383~p. (2009).
py: 2009
pu: Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM)
la: EN
cc: N15 N35 N45 N65
ut: scientific computing; numerical algorithms, error analysis; linear algebra;
optimization; nonlinear equations; differential equations; data
fitting; Monte Carlo computations; sparse matrix computations
ci:
li:
ab: Mathematical models and their computed solutions are in the center of
scientific computing. Thus, knowledge about numerical solution methods,
mathematical software, and the architecture of modern computers is
important for a computational scientist. This book provides the
material for students specializing in this field. The content is
advanced in the sense that some basic knowledge in the area of
scientific computing or numerical analysis is required. The topics
covered include numerical methods such as dense matrix computations,
optimization and data fitting, Monte Carlo computations, ordinary
differential equations, non-linear equations as well as sparse matrix
computations with applications to partial differential equations. For
the presentation, the author has taken the approach to view
mathematical methods as a toolbox. Thus, the mathematical models and
numerical methods are not treated in detail. Instead, the numerical
methods are presented in the form of algorithms and the work with
mathematical software is emphasized. Matlab is mainly used, especially
for basic numerical algorithms or graphics interfaces. A strength of
the book is a large set of case studies, which are presented along with
their numerical algorithms. The gap between mathematical software and
their actual running program on modern computers is captured by
chapters about computer memory and arithmetic as well as error and
sensitivity analysis. The book is intended for courses in computer
science, but can also be used for self-studies.
rv: Gudula Rünger (Chemnitz)