High-Accuracy Finite Difference Methods (Cambridge Monographs on Applied and Computational Mathematics, Series Number 42) - Hardcover

Fornberg, Bengt

Hardcover

ISBN 10: 1009566539 ISBN 13: 9781009566537

Publisher: Cambridge University Press, 2025

Synopsis

Scientific computing plays a critically important role in almost all areas of engineering, modeling, and forecasting. The method of finite differences (FD) is a classical tool that is still rapidly evolving, with several key developments barely yet in the literature. Other key aspects of the method, in particular those to do with computations that require high accuracy, often 'fall through the cracks' in many treatises. Bengt Fornberg addresses that failing in this book, which adopts a practical perspective right across the field and is aimed at graduate students, scientists, and educators seeking a follow-up to more typical curriculum-oriented textbooks. The coverage extends from generating FD formulas and applying them to solving ordinary and partial differential equations, to numerical integration, evaluation of infinite sums, approximation of fractional derivatives, and computations in the complex plane.

About this title

About the Author

Bengt Fornberg, now Professor Emeritus, joined the University of Colorado Boulder in 1995 following positions at CERN, Caltech, and Exxon Corporate Research. He has authored three previous books, including Volume 1 in this present series 'Cambridge Monographs on Applied and Computational Mathematics.' He is a Guggenheim and a SIAM Fellow.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2025
• Language: English
• ISBN 10: 1009566539
• ISBN 13: 9781009566537
• Binding: Hardcover
• Number of pages: 246