Verification of Computer Codes in Computational Science and Engineering / Edition 1

by Patrick Knupp, Kambiz Salari

Overview

How can one be assured that computer codes that solve differential equations are correct? Standard practice using benchmark testing no longer provides full coverage because today's production codes solve more complex equations using more powerful algorithms. By verifying the order-of-accuracy of the numerical algorithm implemented in the code, one can detect most any coding mistake that would prevent correct solutions from being computed.

Verification of Computer Codes in Computational Science and Engineering sets forth a powerful alternative called OVMSP: Order-Verification via the Manufactured Solution Procedure. This procedure has two primary components: using the Method of Manufactured Exact Solutions to create analytic solutions to the fully-general differential equations solved by the code and using grid convergence studies to confirm the order-of-accuracy. The authors present a step-by-step procedural guide to OVMSP implementation and demonstrate its effectiveness.

Properly implemented, OVMSP offers an exciting opportunity to identify virtually all coding 'bugs' that prevent correct solution of the governing partial differential equations. Verification of Computer Codes in Computational Science and Engineering shows you how this can be done. The treatment is clear, concise, and suitable both for developers of production quality simulation software and as a reference for computational science and engineering professionals.

Product Details

ISBN-13:	9781584882640
Publisher:	Taylor & Francis
Publication date:	10/29/2002
Series:	Discrete Mathematics and Its Applications , #14
Edition description:	New Edition
Pages:	160
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Patrick Knupp, Kambiz Salari

Table of Contents

Introduction to Code Verification. The Mathematical Model and Numerical Algorithm. The Code Verification Procedure. Design of Coverage Test Suite. Finding Exact Solutions. Benefits of the Order-Verification Procedure. Related Code Development Activities. Sample Code Verification Exercises. Advanced Topics. Summary and Conclusions. References. Appendices. Index.