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

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

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©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

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

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

Java for Engineers and Scientists 1st Edition

Gary J. Bronson

Page 2: Java for Engineers and Scientists 1 st Edition Gary J. Bronson.

Chapter 15Numerical Methods

Page 3: Java for Engineers and Scientists 1 st Edition Gary J. Bronson.

©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

Page 4: Java for Engineers and Scientists 1 st Edition Gary J. Bronson.

©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

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©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

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©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

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©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

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©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

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©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

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©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

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©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

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©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, T2

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©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

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©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