Overview
This book explains the most cutting-edge methods for precise calculations and explores the development of powerful algorithms to solve research problems. Multipoint methods have an extensive range of practical applications in signal processing, analysis of convergence rate, fluid mechanics, solid state physics, and many areas. The book takes an introductory approach in making qualitative comparisons of different multipoint methods to help the reader understand applications of more complex methods. Evaluations predict the efficiency and accuracy of models useful to a range of research areas and are accompanied by examples that illustrate the usefulness of each method. This book makes it possible for researchers to tackle difficult problems and deepen their understanding of problem solving using numerical methods. Multipoint methods are of great practical importance, as they determine sequences of successive approximations for evaluative purposes. The rapid development of digital computers and advanced computer arithmetic have required new methods for solving problems in applied mathematics, computer science, engineering, physics, financial mathematics, and biology.