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

Скачать книгу

7.6 SPD MATRICES AND THE CHOLESKY DECOMPOSITION 7.7 APPLICATION: NUMERICAL SOLUTION OF LINEAR LEAST SQUARES PROBLEMS 7.8 SPARSE AND STRUCTURED MATRICES 7.9 ITERATIVE METHODS FOR LINEAR SYSTEMS – A BRIEF SURVEY 7.10 NONLINEAR SYSTEMS: NEWTON'S METHOD AND RELATED IDEAS 7.11 APPLICATION: NUMERICAL SOLUTION OF NONLINEAR BVP's

      12  CHAPTER 8: APPROXIMATE SOLUTION OF THE ALGEBRAIC EIGENVALUE PROBLEM 8.1 EIGENVALUE REVIEW 8.2 REDUCTION TO HESSENBERG FORM 8.3 POWER METHODS 8.4 BISECTION AND INERTIA TO COMPUTE EIGENVALUES OF SYMMETRIC MATRICES 8.5 AN OVERVIEW OF THE ITERATION 8.6 APPLICATION: ROOTS OF POLYNOMIALS, II 8.7 APPLICATION: COMPUTATION OF GAUSSIAN QUADRATURE RULES NOTE

      13  CHAPTER 9: A SURVEY OF NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 9.1 DIFFERENCE METHODS FOR THE DIFFUSION EQUATION 9.2 FINITE ELEMENT METHODS FOR THE DIFFUSION EQUATION 9.3 DIFFERENCE METHODS FOR POISSON EQUATIONS NOTE

      14  CHAPTER 10: AN INTRODUCTION TO SPECTRAL METHODS 10.1 SPECTRAL METHODS FOR TWO‐POINT BOUNDARY VALUE PROBLEMS 10.2 SPECTRAL METHODS IN TWO DIMENSIONS 10.3 SPECTRAL METHODS FOR TIME‐DEPENDENT PROBLEMS 10.4 CLENSHAW‐CURTIS QUADRATURE

      15  End User License Agreement

      List of Tables

      1 Chapter 2Table 2.1 Derivative Approximations.Table 2.2 Table for Problem 4.Table 2.3 (Table 2.1 in text.) Example of derivative approximation to

at
....Table 2.4 Solution values for Exercise 2.3.11.Table 2.5 (Table 2.8 in the text) Table of
values.

      2 Chapter 3Table 3.1 Solutions to Problem 3.1.3Table 3.2 Solutions to Problem 3.1.10.Table 3.3 Solution to Problem 3.2.11.Table 3.4 Solutions to Problem 3.3.3.Table 3.5 Newton iteration for Problem 4d, §3.4.Table 3.6 Data for Problems 3 and 4.Table 3.7 Newton iteration for

.Table 3.8 Secant iteration for
.Table 3.9 Solutions to Problem 3.10.6.Table 3.10 Solutions to Problem 3.10.7.Table 3.11 Solutions to Problem 3.10.8.Table 3.12 Hybrid iteration for
.Table 3.13 Regula‐falsi iteration for
.Table 3.14 Hybrid iteration for
.

      3 Chapter 4Table 4.1 Data for Problem 7.Table 4.2 Data for Problem 8.Table 4.3 Table of

values.Table 4.4 Table of
values for Problem 10.Table 4.5 Temperature‐pressure values for steam; Problem 11.Table 4.6 Temperature‐pressure values for gaseous ammonia; Problem 12.Table 4.7 Data for Problem 13.Table 4.8 Solutions to Exercise 4.4.9Table 4.9 Table for divided differences for quintic Hermite interpolation.Table 4.10 Divided difference table.Table 4.11 Data for Problem 13.Table 4.12 Data for Problem 21.Table 4.13 Data for Problem 2.Table 4.14 Data for Problem 4.Table 4.15 Data for Problem 5.Table 4.16 Data for Problem 6.Table 4.17 Data for Problem 7.

      4 Chapter 5Table 5.1 Data for Problem 6.Table 5.2 Results for Exercise 5.3.6.Table 5.3 Results for Exercise 5.4.7.Table 5.4 Data for Problem 10.Table 5.5 Table of

for
.

      5 Chapter 6Table 6.1 Solutions to Exercise 6.2.4.Table 6.2 Results for Problem 8, first part.Table 6.3 Results for Problem 8, second part.

      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).

      List of Illustrations

      1 Chapter 2Figure 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

Скачать книгу