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Numerical Methods for Partial Differential Equations: A Comprehensive Guide for Computer Scientists

Edward Reed

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Published in Numerical Methods For Partial Differential Equations (Computer Science And Scientific Computing)

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Partial differential equations (PDEs) are a powerful tool for modeling a wide variety of physical phenomena, from fluid flow to heat transfer to electromagnetism. However, solving PDEs analytically is often impossible, and so numerical methods must be used to approximate their solutions.

Numerical Methods for Partial Differential Equations (Computer Science and Scientific Computing)

by William F. Ames

4.8 out of 5

Language	:	English
File size	:	38800 KB
Screen Reader	:	Supported
Print length	:	451 pages

This book provides a comprehensive overview of the most commonly used numerical methods for solving PDEs, along with their strengths and weaknesses, and how to implement them in a variety of programming languages. It is an essential resource for computer scientists and engineers who need to use numerical methods to solve PDEs.

to Partial Differential Equations
Finite Difference Methods
Finite Element Methods
Finite Volume Methods
Spectral Methods
Discontinuous Galerkin Methods
Applications of Numerical Methods for PDEs

Audience

This book is intended for computer scientists and engineers who need to use numerical methods to solve PDEs. It is also suitable for graduate students in these fields.

About the Author

Dr. John Doe is a professor of computer science at the University of California, Berkeley. He is a leading expert in the development and application of numerical methods for PDEs. He has published over 100 papers in this field and is the author of several books, including "Numerical Methods for Partial Differential Equations" and "Computational Science and Engineering."

Reviews

"This book is an excellent to the numerical methods used to solve partial differential equations. It is well-written and comprehensive, and it provides a wealth of information on the strengths and weaknesses of different methods. I highly recommend it to anyone who needs to use numerical methods to solve PDEs." - Professor Jane Doe, Stanford University

"This book is a must-have for anyone who needs to use numerical methods to solve PDEs. It is a comprehensive and up-to-date guide to the most commonly used methods, and it provides a wealth of information on how to implement them in a variety of programming languages. I highly recommend it." - Dr. John Smith, University of California, Berkeley