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High Performance Computing and Numerical Modelling
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  • Title High Performance Computing and Numerical Modelling
  • Author(s) Volker Springel
  • Publisher: arXiv (2014)
  • Paperback N/A
  • eBook PDF (108 pages)
  • Language: English
  • ISBN-10/ASIN: N/A
  • ISBN-13: N/A
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Book Description

This textbook provides a step-by-step approach to numerical methods in engineering modelling. The authors provide a consistent treatment of the topic, from the ground up, to reinforce for students that numerical methods are a set of mathematical modelling tools which allow engineers to represent real-world systems and compute features of these systems with a predictable error rate.

Each method presented addresses a specific type of problem, namely root-finding, optimization, integral, derivative, initial value problem, or boundary value problem, and each one encompasses a set of algorithms to solve the problem given some information and to a known error bound.

The authors demonstrate that after developing a proper model and understanding of the engineering situation they are working on, engineers can break down a model into a set of specific mathematical problems, and then implement the appropriate numerical methods to solve these problems.

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