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

By Robert M. Corless

This e-book presents an intensive creation to numerical computing from the perspective of backward errors research. The meant viewers comprises scholars and researchers in technological know-how, engineering and arithmetic. The process taken is a bit of casual due to the big variety of backgrounds of the readers, however the principal rules of backward mistakes and sensitivity (conditioning) are systematically emphasised. The booklet is split into 4 components: half I presents the history preliminaries together with floating-point mathematics, polynomials and desktop review 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 short bankruptcy on partial differential equations.

The booklet comprises special illustrations, bankruptcy summaries and quite a few workouts in addition a few Matlab codes supplied on-line as supplementary material.

“I particularly just like the specialize in backward blunders research and . this can be novel in a textbook and a realistic strategy that might convey welcome attention." Lawrence F. Shampine

A Graduate advent to Numerical tools and Backward mistakes research” has been chosen by way of Computing stories as a extraordinary ebook in computing in 2013. Computing studies better of 2013 checklist involves booklet and article nominations from reviewers, CR class editors, the editors-in-chief of journals, and others within the computing community.

Show description

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

Similar introduction books

An Introduction to Family Therapy, 3rd Edition

The 3rd version of An advent to kin remedy presents an outline of the center options informing kin remedy and systemic perform, overlaying the improvement of this leading edge box from the Fifties to the current day. The publication considers either British and overseas views and comprises the newest advancements in present perform, law and innovation, taking a look at those advancements inside of a much broader political, cultural and geographical context.

An Introduction to Human Services, Sixth Edition

AN advent TO HUMAN providers, 6th variation, offers a pragmatic and complete creation to the sector of human companies, together with its ancient improvement, primary ideas, and the fundamental talents scholars might want to prevail as operating pros. The textual content completely explores the present country of this dynamic, evolving career, illustrating key strategies in each bankruptcy with compelling, real-world case reports.

Derivatives

The full advisor to derivatives, from the specialists on the CFA Derivatives is the definitive consultant to derivatives, by-product markets, and using concepts in threat administration. Written by means of the specialists on the CFA Institute, this booklet presents authoritative reference for college students and funding pros looking a deeper knowing for extra complete portfolio administration.

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

Example text

16 Computing times to solve the Schnakenberg equations using the Mehrstellenverfahren for various n. The reference line has slope n4 . . 17 Maximum residuals at time t = 2 in the solution the Schnakenberg equations using the Mehrstellenverfahren for various n . . . . . . . 3 Floating-point number line . . . . . . . . . . . . . . . . . . . 802 Thirty-two-bit word for a floating-point number . . . . . . . . . . 802 The F(7, 4, 2, 2) positive number “line” . .

25 should look like . . . . . . . 18 A step with Euler’s method . . . . . . . . . . . . . . . . . . . 586 Effect of reducing the step size in Euler’s method . . . . . . . . . 588 Residuals in Euler’s method . . . . . . . . . . . . . . . . . . 592 The region in the z = hλ plane where forward Euler has monotonic decrease as k → ∞ . . . . . . . . . . . . . . . . . . . . . . 601 The region in the z = hλ plane where backward Euler has a monotonic decrease as k → ∞ .

5 Chebfun and Delay Differential Equations . . . . . . . . . . . 6 Notes and References . . . . . . . . . . . . . . . . . . . 751 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . 752 16 Numerical Solution of PDEs . . . . . . . . . . . . . . . . . . . 1 The Method of Lines . . . . . . . . . . . . . . . . . . . . 1 The Method of Lines Using Spectrally Accurate Spatial Mesh .

Download PDF sample

Rated 4.21 of 5 – based on 27 votes