James F. Epperson - Solutions Manual to Accompany An Introduction to Numerical Methods and Analysis

6 Chapter 7Table 7.1 Random vector tests (Problem 3), using Problem 2(d).Table 7.2 Data for Problem 7.

7 Chapter 9Table 9.1 Results for Problem 4.Table 9.2 Results for Problem 5.

8 Chapter 10Table 10.1 Spectral solution results for Problem 10.2.3.Table 10.2 Solution for 10.3.2(b) and (c).

1 Chapter 2 Figure 2.1 Exact solution for Exercise 2.3.7. Figure 2.2 Error plot for Exercise 2.3.7. Figure 2.3 Exact solution for Exercise 2.3.9. Figure 2.4 Error plot for Exercise 2.3.9. Figure 2.5 Estimated timing cost for Problem 13, semilog scale. Figure 2.6 Exact solution for Exercise 2.7.8.

2 Chapter 3Figure 3.1 Solution for Problem 3.2.7.Figure 3.2 Orbital geometry for Problems 4 and 5Figure 3.3 Solution for Problem 3.8.10.Figure 3.4 Solution curves for Problem 5, using 20 points.Figure 3.5 Solution curves for Problem 5, using 40 points.

3 Chapter 4Figure 4.1 Interpolate and function for Problem 4.Figure 4.2 Error for Problem 4.Figure 4.3 Approximation to .Figure 4.4 Error in approximation to .Figure 4.5 Solution plot for Exercise 4.2.10a.Figure 4.6 Error plot for Exercise 4.2.10a.Figure 4.7 Solution plot for Exercise 4.2.10b.Figure 4.8 Error plot for Exercise 4.2.10b.Figure 4.9 Solution plot for Exercise 4.2.11a.Figure 4.10 Solution plot for Exercise 4.2.11b.Figure 4.11 Figure for Problem 13.Figure 4.12 Solution plot for Exercise 4.2.13.Figure 4.13 Solution plot for Exercise 4.2.14.Figure 4.14 Error plot for Problem 10.Figure 4.15 Error plot for Problem 4.Figure 4.16 Polynomial (natural) spline fit to the data in Problem 4.Figure 4.17 Tension spline fit ( ) to the data in Problem 4.Figure 4.18 Figure 4.19 Figure 4.20 Solution plot for Exercise 4.10.3.Figure 4.21 Figure for Problem 7. The closed curve is the elliptical orbit, ...Figure 4.22 Figure 4.23 Figure 4.24 Figure 4.25 Figure 4.26 Figure 4.27 Figure 4.28 Figure 4.29 Figure 4.30 Figure 4.31

4 Chapter 5Figure 5.1 Solution for Exercise 5.3.10.

5 Chapter 6Figure 6.1 Solution to Problem 2b.Figure 6.2 Solution to Problem 3.Figure 6.3 Solution curve for Problem 10.Figure 6.4 Solution plot for Problem 9.

6 Chapter 7Figure 7.1 Solution plot for Exercise 7.5.12.Figure 7.2 Solution plot for Exercise 7.5.13.Figure 7.3 Solution plots for Exercise 7.7.3.

7 Chapter 9Figure 9.1 Maximum error as a function of time step number for Problem 5.Figure 9.2 Solution to Problem 10 for , .Figure 9.3 Contour plot for Problem 3, using and .

8 Chapter 10Figure 10.1 Solution to Problem 1, .Figure 10.2 Error for Problem 1, .Figure 10.3 Contour plot for Problem 2, using and .Figure 10.4 Contour plot of approximate solution for ; compare to Fig. 10.3...Figure 10.5 Coefficient decay for .

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2 Title Page Solutions Manual to Accompany An Introduction to Numerical Methods and Analysis THIRD EDITION James F. Epperson Mathematical Reviews, American Mathematical Society

3 Copyright

4 Table of Contents

5 Begin Reading

6 WILEY END USER LICENSE AGREEMENT

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