| Application of Sobolev gradient to Poisson Boltzmann system Contributor(s): Majid, Abdul (Author), Sial, Sultan (Author) |
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ISBN: 3659169404 ISBN-13: 9783659169403 Publisher: LAP Lambert Academic Publishing OUR PRICE: $60.53 Product Type: Paperback Published: July 2012 |
| Additional Information |
| BISAC Categories: - Mathematics |
| Physical Information: 0.34" H x 6" W x 9" (0.49 lbs) 144 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book offers an application of Sobolev gradient approach to Poisson Boltzmann system. A detailed description of Sobolev gradient method is given and its application is demonstrated on the Poisson Boltzmann system when there are large non-linearities and discontinuities in the coefficient functions. Poisson Boltzmann is a physical model that governs the electrostatic potential of macromolecules when immersed in solvent. It is shown that in some cases Sobolev gradient performs better in terms of efficiency than other existing fast methods such as multigrid and Newton's methods. The experiments' results are given in both finite element and finite difference settings. This book presents a fine blend of Functional Analysis, Numerical Analysis and Biophysics. It is the Ph.D. work that Dr. Abdul Majid completed under the supervision of Dr. Sultan Sial. |