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Java for Engineers and Scientists 1 st Edition Gary J. Bronson.

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Presentation on theme: "Java for Engineers and Scientists 1 st Edition Gary J. Bronson."— Presentation transcript:

1 Java for Engineers and Scientists 1 st Edition Gary J. Bronson

2 Chapter 15 Numerical Methods

3 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. Figure 15.1 Graph of e -x and sin (½πx ) for Locating the Intersection Points

4 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. Figure 15.2 Root Determination by the Bisection Method

5 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. Figure 15.3 Estimating the Root by Interpolation

6 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. Figure 15.5 Graphical Illustration of Several Iterations of the Regula Falsi Algorithm

7 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. Figure 15.5 Graphical illustration of the Modified Regula Falsi Method

8 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. Figure 15.6 Function for Exercise 1

9 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. Figure 15.7 An Integral as an Area Under a Curve

10 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. Figure 15.8 Approximating the area Under a Curve by a Single Trapezoid

11 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. Figure 15.9 Two-panel Approximation to the area

12 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. Figure 15.10 Four-panel Trapezoidal Approximation, T 2

13 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. Figure 15.11 Two Panel Simpson’s Rule Approximation to an Integral

14 ©2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning ™ is a trademark used herein under license. Figure 15.12 Second-order Simpson’s Rule Approximation Is the area Under Two Parabolas


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