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

Java for Engineers and Scientists 1st Edition

Gary J. Bronson

Chapter 15Numerical Methods

Figure 15.1 Graph of e-x and sin(½πx) for Locating the Intersection Points

Figure 15.2 Root Determination by the Bisection Method

Figure 15.3 Estimating the Root by Interpolation

Figure 15.5 Graphical Illustration of Several Iterations of the Regula Falsi Algorithm

Figure 15.5 Graphical illustration of the Modified Regula Falsi Method

Figure 15.6 Function for Exercise 1

Figure 15.7 An Integral as an Area Under a Curve

Figure 15.8 Approximating the area Under a Curve by a Single Trapezoid

Figure 15.9 Two-panel Approximation to the area

Figure 15.10 Four-panel Trapezoidal Approximation, T2

Figure 15.11 Two Panel Simpson’s Rule Approximation to an Integral

Figure 15.12 Second-order Simpson’s Rule Approximation Is the area Under Two Parabolas

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