High-accuracy Finite Difference Methods

  • CategoryOther
  • TypeE-Books
  • LanguageEnglish
  • Total size20.5 MB
  • Uploaded Byfreecoursewb
  • Downloads32
  • Last checkedMay. 22nd '25
  • Date uploadedMay. 21st '25
  • Seeders 7
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Infohash : 717675B9133B389F228E1993D0683EBF0F84B77C

High-accuracy Finite Difference Methods



https://WebToolTip.com

English | 2025 | ISBN: 1009566539 | 702 pages | PDF | 20.46 MB

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.

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