Numerical Analysis : Iterative Methods

Iterative methods or those methods by which approximations are improved until one receives an accurate value comprise an important learning objective in mathematics. Keeping this in mind, the main objective of this book is to incorporate important iterative methods in a single volume, at an appropriate depth. This will enable students and researchers to apply these iterative techniques to scientific and engineering problems. The text discusses in detail the methods of solving linear systems of equations, nonlinear equations, system of non-linear equations, initial value problems and partial differential equations of all the three types by the use of iterative methods. The text is substantiated with 335 problems including many solved examples and exercises with answers at the end of each chapter. Salient Features: The book comprises five chapters and each of them discusses the method of employing the conventional and new iterative techniques to the problems of interest in a simple and elegant manner. Illustrative examples and exercises at the end of each chapter with answers are included throughout the book to facilitate an easier understanding of the subject. Numerical computations featured in this book further offer special interest to engineers, researchers and computational scientists. The major results of the book are expected to find applications in many areas of engineering, science and technology. The topics covered in the book are explicit in nature, student friendly and self-explanatory. This book incorporates the material covered in the courses of undergraduate and postgraduate programs in engineering, science and technology and will be of great help to scientists, engineers, researchers and students. It can be used both as a text and a good reference book for those who run after numerical evaluations.

Dr. V.B.K. Vatti, Professor of Engineering Mathematics in College of Engineering, Andhra University, obtained his Ph.D. from Indian Institute of Technology Bombay, Mumbai after pursuing graduation and post-graduation at Andhra University. He has about 32 years of academic experience apart from research, teaching various mathematical subjects including computer programs and computational methods to graduate and postgraduate students of engineering. He has nearly 50 publications to his credit in various national and international journals. He has guided more than a dozen research awardees which include both Ph.Ds and M.Phils. He has also served the university as Co-ordinator of University Grant Commission, Chief of Employment and Guidance Bureau, and Head of the Department of Engineering Mathematics. He has also co-authored a few books on mathematics for the distance education students of Andhra University.