A Graduate Introduction to Numerical Methods: From the by Robert M. Corless

By Robert M. Corless

This publication presents an intensive advent to numerical computing from the point of view of backward mistakes research. The meant viewers comprises scholars and researchers in technology, engineering and arithmetic. The strategy taken is a little bit casual because of the big variety of backgrounds of the readers, however the significant principles of backward blunders and sensitivity (conditioning) are systematically emphasised. The ebook is split into 4 elements: half I offers the heritage preliminaries together with floating-point mathematics, polynomials and laptop assessment of capabilities; 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 short bankruptcy on partial differential equations.

The ebook includes specified illustrations, bankruptcy summaries and quite a few routines besides a few Matlab codes supplied on-line as supplementary material.

“I particularly just like the specialise in backward blunders research and situation. this is often novel in a textbook and a realistic technique that might convey welcome attention." Lawrence F. Shampine

A Graduate advent to Numerical equipment and Backward mistakes research” has been chosen via Computing stories as a impressive e-book in computing in 2013. Computing stories better of 2013 record contains e-book and article nominations from reviewers, CR classification 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

The Right Stock at the Right Time: Prospering in the Coming Good Years

The 1st few chapters have outfitted the anticipation for a superb technique to study , even though, there have been no formulation, not anything to learn.
book talks approximately theories approximately marketplace timing with out proof.
i wouldent take it heavily as i presumed

Building a $1,000,000 Nest Egg: Leading Financial Minds Reveal the Simple, Proven Ways for Anyone to Build a $1,000,000 Nest Egg On Your Own Terms

Construction a $1,000,000 Nest Egg is an inside of examine how an individual can retailer 1000000 funds or extra for retirement, a kid's collage schooling, or the other substantial buy or fee. despite what quantity of money you're making, or how a lot you have already got stored, this booklet provides easy, powerful, confirmed how one can get on a discounts plan, put money into the right mix of shares, bonds and cds, leverage your capital, deal with your portfolio, stay away from pointless taxes, and construct one million greenback portfolio.

A Woman's Guide to Savvy Investing: Everything You Need to Know to Protect Your Future

Girls needs to understand how to take a position their very own cash! In todays international of downsizing, divorce, and doubtful social safety merits, there is a solid probability that the majority ladies must look after their very own monetary wishes sooner or later of their (7-years-longer-than-men's) lives. the place can ladies examine the fundamentals of making an investment?

Introduction to Analytical Electron Microscopy

The delivery of analytical electron microscopy (AEM) is a little bit imprecise. was once it the popularity of the ability and the improvement of STEM that signaled its delivery? was once AEM born with the attachment of a crystal spectrometer to an differently traditional TEM? Or used to be it born past with the 1st research of electron loss spectra?

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

Example text

648 The boundary of the stability region for the nonstandard predictor–corrector method . . . . . . . . . . . . . . . . . . . 656 Second-order Taylor series solution with h = 5π/30 . . . . . . . . . 670 Difference between the Taylor series solution, the modified equation, and the reference solutioncos(t) . . . . . . . . . . . . . 670 Poincar´e map for the H´enon–Heiles model . . . . . . . . . . . . 674 Energy error in a leapfrog integration .

9 Other Methods . . . . . . . . . . . . . . . . . . . . . . 10 Notes and References . . . . . . . . . . . . . . . . . . . 676 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . 678 14 Numerical Solutions of Boundary Value Problems . . . . . . . . . 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . 2 Conditioning . . . . . .

217 Scaled residual in PA − LU / A for some matrices . . . . . . . . . . 218 Average timings for various factorings . . . . . . . . . . . . . . 2 Initial growth of matrix powers of a 50 × 50 matrix . . . . . . . . . 258 Pseudospectrum of a 2 × 2 matrix polynomial of degree 3. . . . . . 1 Simple visualization of the inverse of the 64 × 64 Mandelbrot matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 Sparse matrix bfwa398 from the FSMC .

Download PDF sample

Rated 4.42 of 5 – based on 45 votes