Product Description

This new edition of Professor Sethian’s successful text provides an introduction to level set methods and fast marching methods, which are powerful numerical techniques for analyzing and computing interface motion in a host of settings. They rely on a fundamental shift in how one views moving boundaries; rethinking the natural geometric Lagrangian perspective and exchanging it for an Eulerian, initial value partial differential equation perspective. For this edition, the collection of applications provided in the text has been expanded, including examples from physics, chemistry, fluid mechanics, combustion, image processing, material science, fabrication of microelectronic components, computer vision, computer-aided design, and optimal control theory. This book will be a useful resource for mathematicians, applied scientists, practising engineers, computer graphic artists, and anyone interested in the evolution of boundaries and interfaces.

Product Details

• Amazon Sales Rank: #639590 in Books
• Published on: 1999-06-13
• Original language: English
• Number of items: 1
• Binding: Paperback
• 400 pages

Review
"The book does give a representative picture of the flavor of the field today." Mathematical Reviews

"It is a useful introduction to a remarkably dynamic area." Mathematics of Computation

Customer Reviews

Introductory at best
I bought this book as a guide for implementing a level-set CFD two-fluid problem. I was sadly disappointed. The book did not provide any further insight into practical implementations, particularly on unstructured meshes in 3D. Instead, it takes the reader on a rather "bumpy" ride through the underlying mathematics. For example, the subject of entropy conditions and viscosity solutions is touched only superficially. The reader is refered to papers for proofs and other details. Indeed, throughout the book there are myriads of references for further reading which can actually be quite annoying; what you really need are details here and now, not references to papers with the details. Admittedly, a book cannot contain everything, but for instance a more detailed chapter on numerical solution of Hamilton-Jacobi equations would be nice. Another thing is notational inconsistencies (which the author admits). As an example, figure 6.1 uses a notation totally different from the notation used at the place which refers to the figure. The larger part of this book is devoted to applications. A have not read through the entire application part, only the one relating to CFD. And that is definetly too short; 3 pages for a huge field of research. In summary, if you look for an introduction to the level-set method without too much mathematical rigor, this is not a bad book. If you look for implementation details this book best serves as a collection of references.

A great book by the originator of these powerful techniques!
Level Set Methods and Fast Marching methods have been applied to may fields and are very versatile. The original development was carried out by the author of this book, making it an authority on the subject. Dispite the authors mathematical background, the content has been simplified sufficiently to convey the concepts without causing the reader to struggle through too many equations. The initial chapters deal well with the basics of the methods, whilst the second section deals with the implementation. The final section provides an overview of some of the many applications of this method, providing encouragement for those working in these fields. The book has many useful references for further study and also cites the authors website which has further examples and java animations of this work.

An excellent book for those starting out in Level Set Methods and Fast Marching Methods.

Great book by the originator of this powerful technique.
Level Set Methods and Fast Marching methods have been applied to may fields and are very versatile. The original development was carried out by the author of this book, making it an authority on the subject. Dispite the authors mathematical background, the content has been simplified sufficiently to convey the concepts without causing the reader to struggle through too many equations. The initial chapters deal well with the basics of the methods, whilst the second section deals with the implementation. The final section provides an overview of some of the many applications of this method, providing encouragement for those working in these fields. The book has many useful references for further study and also cites the authors website which has further examples and java animations of this work.

An excellent book for those starting out in Level Set Methods and Fast Marching Methods.