Title: Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods
Publisher: Academic Press
Publication Date: 2016
Language: English
ISBN 10: 0128498943
ISBN 13: 9780128498941
Binding: Soft cover
Condition: new

About this title

Synopsis

Numerical Methods for Partial Differential Equations: Finite Difference and Finite Volume Methods focuses on two popular deterministic methods for solving partial differential equations (PDEs), namely finite difference and finite volume methods. The solution of PDEs can be very challenging, depending on the type of equation, the number of independent variables, the boundary, and initial conditions, and other factors. These two methods have been traditionally used to solve problems involving fluid flow.

For practical reasons, the finite element method, used more often for solving problems in solid mechanics, and covered extensively in various other texts, has been excluded. The book is intended for beginning graduate students and early career professionals, although advanced undergraduate students may find it equally useful.

The material is meant to serve as a prerequisite for students who might go on to take additional courses in computational mechanics, computational fluid dynamics, or computational electromagnetics. The notations, language, and technical jargon used in the book can be easily understood by scientists and engineers who may not have had graduate-level applied mathematics or computer science courses.

About the Author

Sandip Mazumder received his PhD from the Pennsylvania State University, and is currently Professor at The Ohio State University. His research in radiation has primarily involved developing efficient methods for solving the radiative transfer equation and coupling it to other modes of heat transfer for practical applications. Dr. Mazumder was employed at CFD Research Corporation for 7 years prior to joining Ohio State in 2004. He is the recipient of the McCarthy teaching award and the Lumley research award from the Ohio State College of Engineering, among other awards, and is a fellow of the ASME.

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