Application of Sobolev gradient to Poisson Boltzmann system

ISBN-13: 9783659169403 / Angielski / Miękka / 2012 / 144 str.

Abdul Majid; Sultan Sial

Opis

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.

O autorze

A Ph.D. in Applied Mathematics from Lahore University of Management Sciences(LUMS), Pakistan. He completed his M.Sc. in Pure Mathematics from KU Karachi and is currently working as an Assistant Professor in the Institute of Business Administration(IBA) Karachi, Pakistan. He has been a Research Associate at the Mathematics Dept. at LUMS.