Table of Contents

Preface; Part I. Pitfalls in Numerical Computation: 1. What can go wrong in scientific computing? Bo Einarsson; 2. Assessment of accuracy and reliability Ronald F. Boisvert, Ronald Cools and Bo Einarsson; 3. Approximating integrals, estimating errors and giving the wrong solution for a deceptively easy problem Ronald Cools; 4. An introduction to the quality of computed solutions Sven Hammarling; 5. Qualitative computing Françoise Chaitin-Chatelin and Elisabeth Traviesas-Cassan; Part II. Diagnostic Tools: 6. PRECISE and the quality of reliable numerical software Françoise Chaitin-Chatelin and Elisabeth Traviesas-Cassan; 7. Tools for the verification of approximate solutions to differential equations Wayne H. Enright; Part III. Technology for Improving Accuracy and Reliability: 8. General methods for implementing reliable and correct software Bo Einarsson; 9. The use and implementation of interval data types G. William Walster; 10. Computer-assisted proofs and self-validating methods Siegfried M. Rump; 11. Hardware assisted algorithms Craig C. Douglas and Hans Petter Langtangen; 12. Issues in accurate and reliable use of parallel computing in numerical programs William D. Gropp; 13. Software reliability engineering of numerical systems Mladen A. Vouk; Bibliography; Index.

Promotional Information

This book investigates some of the difficulties related to scientific computing, describing how these can be overcome.

About the Author

Bo Einarsson has retired as an Associate Professor of Numerical Analysis and Numerical Analyst at the National Supercomputer Center at Linkoping University in Sweden.