Description - Numerical Methods for Partial Differential Equations by Sandip Mazumder
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.
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(235mm x 191mm x mm)
Academic Press Inc
Publisher: Elsevier Science Publishing Co Inc
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Author Biography - Sandip Mazumder
Sandip Mazumder received his Ph.D. in Mechanical Engineering from Penn State University. After graduation, he joined CFD Research Corporation, where he was one of the architects and early developers of the commercial computational fluid dynamics code CFD-ACE+. In 2004, he joined the Ohio State University, where he teaches both graduate and undergraduate courses in heat and mass transfer, thermodynamics, numerical methods, and computational fluid dynamics. He is the author of over fifty journal publications, which have been cited more than one thousand times according to the ISI citation index. Dr. Mazumder is the recipient of several research and teaching awards, and is a Fellow of the American Society of Mechanical Engineers since 2011.