β Scribed by John R. Rice (Auth.)
No coin nor oath required. For personal study only.
Numerical Methods, Software, and Analysis, Second Edition introduces science and engineering students to the methods, tools, and ideas of numerical computation. Introductory courses in numerical methods face a fundamental problem-there is too little time to learn too much. This text solves that problem by using high-quality mathematical software. In fact, the objective of the text is to present scientific problem solving using standard mathematical software. This book discusses numerous programs and software packages focusing on the IMSL library (including the PROTRAN system) and ACM Algorithms.
The book is organized into three parts. Part I presents the background material. Part II presents the principal methods and ideas of numerical computation. Part III contains material about software engineering and performance evaluation. A uniform approach is used in each area of numerical computation. First, an intuitive development is made of the problems and the basic methods for their solution. Then, relevant mathematical software is reviewed and its use outlined. Many areas provide extensive examples and case studies. Finally, a deeper analysis of the methods is presented as in traditional numerical analysis texts.
Key Features
Emphasizes the use of high-quality mathematical software for numerical computation
Extensive use of IMSL routines
* Features extensive examples and case studies
Content:
Front Matter, Page iii
Copyright, Page iv
PREFACE, Pages xi-xiv
1 - MATHEMATICS AND COMPUTER SCIENCE BACKGROUND, Pages 1-17
2 - NUMERICAL SOFTWARE, Pages 19-37
3 - ERRORS, ROUND-OFF, AND STABILITY, Pages 39-68
4 - MODELS AND FORMULAS FOR NUMERICAL COMPUTATION, Pages 69-92
5 - INTERPOLATION, Pages 93-171
6 - MATRICES AND LINEAR EQUATIONS, Pages 173-261
7 - DIFFERENTIATION AND INTEGRATION, Pages 263-322
8 - NONLINEAR EQUATIONS, Pages 323-409
9 - ORDINARY DIFFERENTIAL EQUATIONS, Pages 411-483
10 - PARTIAL DIFFERENTIAL EQUATIONS, Pages 485-550
11 - APPROXIMATION OF FUNCTIONS AND DATA, Pages 551-632
12 - SOFTWARE PRACTICE, COSTS, AND ENGINEERING, Pages 633-657
13 - SOFTWARE PERFORMANCE EVALUATION, Pages 659-675
14 - THE VALIDATION OF NUMERICAL COMPUTATIONS, Pages 677-684
15 - PROTRAN, Pages 685-703
INDEX, Pages 705-720
π SIMILAR VOLUMES
Numerical Methods, Software, and Analysis, Second Edition introduces the methods, tools, and ideas of numerical computation.
<p>This book deals with various aspects of scientific numerical computing. No atΒ tempt was made to be complete or encyclopedic. The successful solution of a numerical problem has many facets and consequently involves different fields of computer science. Computer numerics- as opposed to computer al
<p>13. 2 Abstract Saddle Point Problems . 282 13. 3 Preconditioned Iterative Methods . 283 13. 4 Examples of Saddle Point Problems 286 13. 5 Discretizations of Saddle Point Problems. 290 13. 6 Numerical Results . . . . . . . . . . . . . 295 III GEOMETRIC MODELLING 299 14 Surface Modelling from Scatt