Pav S.E. Numerical Methods Course Notes

Academic Press, 2008. - 272 pages. Precise numerical analysis may be defined as the study of computer methods for solving mathematical problems either exactly or to prescribed accuracy. This book explains how precise numerical analysis is constructed. · Clearer, simpler descriptions and explanations of the various numerical methods · Windows based software · Two new types of numerical problems; accurately solving partial differential equations...

John Wiley & Sons Ltd, 2003. – 440 pages. This book represents an attempt to modernize and expand the previous volume 'The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods'. It is more modern in that it considers several topics that had not yet emerged as important research areas when the former book was written. It is expanded in that it contains a comprehensive treatment of linear multistep metho...

John Wiley & Sons, 2008, 482 p. , second edition. Authored by one of the world's leading authorities on numerical methods, this update of one of the standard references on numerical analysis outlines recent developments in the field and presenting a detailed overview of the area. The only book to provide both a detailed treatment of Runge-Kutta methods and a thorough exposition of general linear methods, it also provides practical guidance o...

The objectives of this book are to survey the theoretical results that are involved in the numerical analysis of wavelet methods, and more generally of multiscale decomposition methods, for numerical simulation problems, and to provide the most relevant examples of such mathematical tools in this particular context. Content: 1 Basic examples 1.1 Introduction 1.2 The Haar system 1.3 The Schauder hierarchical basis 1.4 Multivariate constructions 1...

Society for Industrial Mathematics, 2008. - 475 pages. This new book from the authors of the classic book Numerical Methods addresses the increasingly important role of numerical methods in science and engineering. More cohesive and comprehensive than any other modern textbook in the field, it combines traditional and well-developed topics with other material that is rarely found in numerical analysis texts, such as interval arithmetic, elementa...

Prentice Hall, 1977. - 270 Pages. This book evolved from a set of notes used in introductory numerical methods courses at Stanford University, the University of New Mexico and the University of Waterloo. These universities have two such courses, titled something like "Numerical Computing" and "Numerical Analysis". The numerical computing course is for students of science and engineering who simply want to use numerical methods in their work. It...

Academic Press, 1991. - 344 pages. Scientific Computing and Differential Equations: An Introduction to Numerical Methods, is an excellent complement to Introduction to Numerical Methods by Ortega and Poole. The book emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. It reviews modern scientific computing, outlines its applications, and places...

Springer, 2010. - 268 pages. Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject. It covers the topics traditionally treated in a first course, but also highlig...

John Wiley & Sons Inc., 1982. – 295 pages. This book is intended to serve as a text for an introductory course in numerical methods. It evolved from a set of notes developed for such a course tauch to science and engineering students at University of Toronto.

Springer, 1998. - 328 Pages. An introduction into numerical analysis for students in mathematics, physics, and engineering. Instead of attempting to exhaustively cover everything, the goal is to guide readers towards the basic ideas and general principles by way of the main and important numerical methods. The book includes the necessary basic functional analytic tools for the solid mathematical foundation of numerical analysis - indispensable...