Numerical recipes in parallel Fortran

Description

Contents......Page 5 Preface to Volume 2......Page 8 Foreword......Page 10 License Information......Page 17 21.0 Introduction......Page 21 21.1 Quick Start: Using the Fortran 90 Numerical Recipes Routines......Page 22 21.2 Fortran 90 Language Concepts......Page 23 21.3 More on Arrays and Array Sections......Page 27 21.4 Fortran 90 Intrinsic Procedures......Page 31 21.5 Advanced Fortran 90 Topics......Page 39 21.6 And Coming Soon: Fortran 95......Page 45 22.0 Why Think Parallel?......Page 48 22.1 Fortran 90 Data Parallelism: Arrays and Intrinsics......Page 50 22.2 Linear Recurrence and Related Calculations......Page 57 22.3 Parallel Synthetic Division and Related Algorithms......Page 63 22.4 Fast Fourier Transforms......Page 67 22.5 Missing Language Features......Page 69 23.0 Introduction and Summary Listing......Page 73 23.1 Routines That Move Data......Page 76 23.2 Routines Returning a Location......Page 78 23.3 Argument Checking and Error Handling......Page 80 23.4 Routines for Polynomials and Recurrences......Page 82 23.5 Routines for Outer Operations on Vectors......Page 86 23.6 Routines for Scatter with Combine......Page 88 23.7 Routines for Skew Operations on Matrices......Page 90 23.8 Other Routine(s)......Page 93 Fortran 90 Code Chapters B1–B20......Page 95 B1. Preliminaries......Page 96 B2. Solution of Linear Algebraic Equations......Page 100 B3. Interpolation and Extrapolation......Page 129 B4. Integration of Functions......Page 138 B5. Evaluation of Functions......Page 156 B6. Special Functions......Page 169 B7. Random Numbers......Page 227 B8. Sorting......Page 253 B9. Root Finding and Nonlinear Sets of Equations......Page 268 B10. Minimization or Maximization of Functions......Page 287 B11. Eigensystems......Page 311 B12. Fast Fourier Transform......Page 321 B13. Fourier and Spectral Applications......Page 339 B14. Statistical Description of Data......Page 355 B15. Modeling of Data......Page 371 B16. Integration of Ordinary Differential Equations......Page 383 B17. Two Point Boundary Value Problems......Page 400 B18. Integral Equations and Inverse Theory......Page 411 B19. Partial Differential Equations......Page 418 B20. Less-Numerical Algorithms......Page 429 References......Page 445 C1.1 Numerical Recipes Types (nrtype)......Page 447 C1.2 Numerical Recipes Utilities (nrutil)......Page 450 C2. Alphabetical Listing of Explicit Interfaces......Page 470 C3. Index of Programs and Dependencies......Page 520 General Index to Volumes 1 and 2......Page 533