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High-Accuracy Finite Difference Methods

by Bengt Fornberg

Cambridge University Press

Hardback or Cased Book 00246 pages Jun 05, 2025

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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.
Author:
Bengt Fornberg
Publisher:
Cambridge University Press
Publication Date:
Jun 05, 2025
Number of pages:
00246 pages
Binding:
Hardback or Cased Book
ISBN-10:
1009566539
ISBN-13:
9781009566537