High Performance Computing and Numerical Modelling (Volker Springel)

 
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High Performance Computing and Numerical Modelling (Volker Springel)

This book offers a detailed explanation of numerical methods used in engineering modeling. In order to reinforce for students that numerical methods are a collection of mathematical modeling tools that allow engineers to represent real-world systems and compute features of these systems with a predictable error rate, the authors provide a consistent treatment of the topic from the ground up.

Each approach presented here addresses a particular kind of issue, such as a root-finding, optimization, integral, derivative, initial value problem, or boundary value problem, and each one includes a collection of algorithms to address the issue with the help of some available data and within a predetermined error bound.

The authors show that engineers can deconstruct a model into a set of specific mathematical issues and then apply the right numerical methods to solve these problems after building a proper model and understanding the engineering scenario they are working on.

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