New PDF release: A Graduate Introduction to Numerical Methods: From the

By Robert M. Corless

ISBN-10: 1461484529

ISBN-13: 9781461484523

ISBN-10: 1461484537

ISBN-13: 9781461484530

This e-book offers an intensive advent to numerical computing from the perspective of backward errors research. The meant viewers comprises scholars and researchers in technology, engineering and arithmetic. The method taken is just a little casual because of the wide range of backgrounds of the readers, however the imperative rules of backward mistakes and sensitivity (conditioning) are systematically emphasised. The ebook is split into 4 components: half I presents the history preliminaries together with floating-point mathematics, polynomials and laptop overview of features; half II covers numerical linear algebra; half III covers interpolation, the FFT and quadrature; and half IV covers numerical ideas of differential equations together with initial-value difficulties, boundary-value difficulties, hold up differential equations and a short bankruptcy on partial differential equations.

The e-book comprises distinctive illustrations, bankruptcy summaries and numerous workouts to boot a few Matlab codes supplied on-line as supplementary material.

“I fairly just like the concentrate on backward mistakes research and situation. this can be novel in a textbook and a realistic process that may carry welcome attention." Lawrence F. Shampine

A Graduate creation to Numerical equipment and Backward mistakes research” has been chosen through Computing stories as a extraordinary publication in computing in 2013. Computing studies better of 2013 record includes e-book and article nominations from reviewers, CR type editors, the editors-in-chief of journals, and others within the computing community.

Show description

Read or Download A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis PDF

Best introduction books

Download e-book for kindle: The Beginner's Guide to Financial Spread Betting: by Michelle Baltazar

Now absolutely revised and up-to-date, The Beginner's advisor to monetary unfold having a bet offers an important grounding within the simple ideas of unfold making a bet. unfold having a bet used to be the area of institutional traders, urban investors and excessive rollers. no longer anymore. you will now be hard-pressed to discover the other type of buying and selling that enables the sort of scale of go back and has such broad attraction.

New PDF release: If You're So Smart, Why Aren't You Rich?: A Guide to

Soccer is frequently defined as a online game of inches. First downs, scoring, and in/out of certain judgements which can ascertain the result of the sport can even come all the way down to fractions of an inch. making an investment is the same: the adaptation among outperforming or underperforming the industry could be a few fractions of a percent element.

New PDF release: All About Real Estate Investing: The Easy Way to Get Started

Traders battered by way of today’s tumultuous inventory market—and attracted through persisted low curiosity rates—are making actual property certainly one of today’s most well-liked funding markets. All approximately actual property making an investment, moment version, presents goal, time-tested suggestions and worksheets for comparing a estate, negotiating and shutting a transaction, and extra.

Extra info for A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis

Sample text

819 C Vectors, Matrices, and Norms . . . . . . . . . . . . . . . . . . 1 Notation and Structure of Matrices . . . . . . . . . . . . . . 2 Norms . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Derivation of the Normal Equations . . . . . . . . . . . . . 4 The Schur Complement . . . . . . . . . . . . . . . . . . 5 Eigenvalues . . . . . . . . . . . . . . . . . . . . . .

19 Experimental fit of empirical data . . . . . . . . . . . . . . . . 20 Solution of the H´enon–Heiles equation . . . . . . . . . . . . . . 21 The Poincar´e map for the H´enon–Heiles equation . . . . . . . . . 22 Integrating past a singularity using the technique of “pole-vaulting” . . 23 Numerical solution of a problem with an essential singularity . . . . 25 should look like . . . . . . . 18 A step with Euler’s method .

1) . . . . . . 1) . . . 4) . . . . . . . . . . . . . 4) . . . . . . . . . . . 1) . . . . . 765 The solution to the one-way wave Eq. 8) . . . . . . . . . . . 16) by the transverse method . . 9 The meshes used for the transverse method of lines solution . . . . . 10 The internal energy e = p/((γ − 1)ρ ) for the solution of the shock tube gas dynamics equations with artificial viscosity . . . . . . . . 11 The final mesh used for the transverse method of lines solution .

Download PDF sample

A Graduate Introduction to Numerical Methods: From the Viewpoint of Backward Error Analysis by Robert M. Corless


by Ronald
4.4

Rated 4.84 of 5 – based on 9 votes