'Open methods' presentation slideshows

Part 2 Roots of Equations

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Roundoff and truncation errors

Roundoff and truncation errors. Accuracy and Precision. Accuracy refers to how closely a computed or measured value agrees with the true value, while precision refers to how closely individual computed or measured values agree with each other. inaccurate and imprecise

1.94k views • 44 slides

Selective Open Recursion Modular Reasoning about Components and Inheritance

Selective Open Recursion Modular Reasoning about Components and Inheritance. Jonathan Aldrich Carnegie Mellon University Kevin Donnelly Boston University. Outline. The Fragile Base Class Problem Selective Open Recursion Implementation & Analysis

499 views • 42 slides

Engineering Computation

439 views • 27 slides

ECIV 301

ECIV 301. Programming & Graphics Numerical Methods for Engineers Lecture 8 Roots of Equations Open Methods. c must satisfy. Last Time The Problem. Define Function. c is the ROOT of the equation. Bracketing. Open. Fixed Point Iteration Newton-Raphson Secand. Graphical

420 views • 23 slides

Chapter 4 Roots of Polynomials

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Engineering Computation

Engineering Computation. Lecture 4. Open Methods (Newton-Raphson Method). Error Analysis for N-R : Recall that Taylor Series gives:. where x r ? x ? x i and f(x r ) = 0. Open Methods (Newton-Raphson Method). Dividing through by f '(x i ) yields. OR.

476 views • 21 slides

A problem-oriented categorisation of FTA-methods for transport planning

The 4th International Seville Conference on Future-Oriented Technology Analysis (FTA) 12 & 13 May 2011. A problem-oriented categorisation of FTA-methods for transport planning. Jens Schippl and Torsten Fleischer. Karlsruhe Institute of Technology

261 views • 15 slides

Computers in Civil Engineering 53:081 Spring 2003

Computers in Civil Engineering 53:081 Spring 2003. Lecture #7. Roots of Equations: Open Methods. Lecture Outline. Open Methods The Newton-Raphson Algorithm The Secant Algorithm. Newton-Raphson Algorithm Graphical Derivation. ?. 0. x i+ 1. x i. From figure:. (Newton-Raphson Formula).

274 views • 13 slides

The Islamic University of Gaza Faculty of Engineering Civil Engineering Department

The Islamic University of Gaza Faculty of Engineering Civil Engineering Department Numerical Analysis ECIV 3306 Chapter 7. Roots of Polynomials. Roots of Polynomials. The roots of polynomials such as Follow these rules:

155 views • 13 slides