Robust Computational Techniques for Boundary Layers: 13 (Applied Mathematics)

Paul Farrell

ISBN 10: 0367398788 / ISBN 13: 9780367398781

Published by Routledge 2019-09-19, 2019

About this Item

Seller Inventory # 6666-IUK-9780367398781

Bibliographic Details

• Title: Robust Computational Techniques for Boundary Layers: 13 (Applied Mathematics)
• Publisher: Routledge 2019-09-19
• Publication Date: 2019
• Language: English
• ISBN 10: 0367398788
• ISBN 13: 9780367398781
• Binding: Paperback
• Condition: New

About this title

Synopsis

Current standard numerical methods are of little use in solving mathematical problems involving boundary layers. In Robust Computational Techniques for Boundary Layers, the authors construct numerical methods for solving problems involving differential equations that have non-smooth solutions with singularities related to boundary layers. They present a new numerical technique that provides precise results in the boundary layer regions for the problems discussed in the book. They show that this technique can be adapted in a natural way to a real flow problem, and that it can be used to construct benchmark solutions for comparison with solutions found using other numerical techniques. Focusing on robustness, simplicity, and wide applicability rather than on optimality, Robust Computational Techniques for Boundary Layers provides readers with an understanding of the underlying principles and the essential components needed for the construction of numerical methods for boundary layer problems. It explains the fundamental ideas through physical insight, model problems, and computational experiments and gives details of the linear solvers used in the computations so that readers can implement the methods and reproduce the numerical results.

About the Author

Farrell, Paul; Hegarty, Alan; Miller, John M.; O'Riordan, Eugene; Shishkin, Grigory I.