By Robert Corless,Nicolas Fillion
This booklet offers an in depth advent to numerical computing from the perspective of backward blunders research. The meant viewers comprises scholars and researchers in technology, engineering and arithmetic. The technique taken is a bit casual due to the wide range of backgrounds of the readers, however the vital principles of backward errors and sensitivity (conditioning) are systematically emphasised. The e-book is split into 4 components: half I presents the history preliminaries together with floating-point mathematics, polynomials and machine assessment of services; half II covers numerical linear algebra; half III covers interpolation, the FFT and quadrature; and half IV covers numerical suggestions of differential equations together with initial-value difficulties, boundary-value difficulties, hold up differential equations and a quick bankruptcy on partial differential equations.
The booklet includes distinct illustrations, bankruptcy summaries and a number of workouts besides a few Matlab codes supplied on-line as supplementary material.
“I relatively just like the concentrate on backward errors research and situation. this can be novel in a textbook and a pragmatic technique that might carry welcome attention." Lawrence F. Shampine
A Graduate advent to Numerical tools and Backward blunders research” has been chosen by way of Computing experiences as a remarkable e-book in computing in 2013. Computing experiences better of 2013 checklist contains ebook and article nominations from reviewers, CR classification editors, the editors-in-chief of journals, and others within the computing community.
Read Online or Download A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis PDF
Similar number systems books
This application-oriented paintings issues the layout of effective, strong and trustworthy algorithms for the numerical simulation of multiscale phenomena. To this finish, a number of sleek strategies from scattered facts modelling, resembling splines over triangulations and radial foundation capabilities, are mixed with personalized adaptive concepts, that are constructed separately during this paintings.
A first class debate ebook at the the most important problems with present arithmetic teachingThe authors provide startling proof that desktops are altering arithmetic in a profound wayRaises the query of ways to change instructing in mathermatics due to the computer's impression at the field
This monograph is a touch revised model of my PhD thesis , com pleted within the division of machine technology on the collage of Edin burgh in June 1988, with an extra bankruptcy summarising more moderen advancements. a number of the fabric has seemed within the type of papers [50,88]. The underlying subject of the monograph is the examine of 2 classical difficulties: counting the weather of a finite set of combinatorial buildings, and producing them uniformly at random.
This two-volume paintings provides a scientific theoretical and computational research of different types of generalizations of separable matrices. the most cognizance is paid to quick algorithms (many of linear complexity) for matrices in semiseparable, quasiseparable, band and spouse shape. The paintings is targeted on algorithms of multiplication, inversion and outline of eigenstructure and features a huge variety of illustrative examples in the course of the varied chapters.
- Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions (SpringerBriefs in Mathematics)
- Numerik für Ingenieure, Physiker und Informatiker (German Edition)
- Coupled Systems: Theory, Models, and Applications in Engineering (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series)
- Grundlagen der Numerischen Mathematik und des Wissenschaftlichen Rechnens (German Edition)
- Advances in Stochastic and Deterministic Global Optimization (Springer Optimization and Its Applications)
Additional info for A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis
A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis by Robert Corless,Nicolas Fillion