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

Chapter 15 Numerical Methods

©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

©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

©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

©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

©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

©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

©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

©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

©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

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

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

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