Verification of Computer Codes in Computational Science and Engineering: 14 (Discrete Mathematics and Its Applications) - Hardcover

Knupp, Patrick; Salari, Kambiz

Hardcover

ISBN 10: 1584882646 ISBN 13: 9781584882640

Publisher: Chapman and Hall/CRC, 2002

Synopsis

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.

About this title

About the Author

Patrick Knupp, Kambiz Salari

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 2002
• Language: English
• ISBN 10: 1584882646
• ISBN 13: 9781584882640
• Binding: Hardcover
• Edition number: 1
• Number of pages: 160