Partial Differential Equations: Analytical and Numerical Methods

Name: Partial Differential Equations: Analytical and Numerical Methods
Brand: Orient Blackswan Pvt Ltd
SKU: 9789386235404
Price: 1362.0 INR
Availability: InStock

by Mark S. Gockenbach

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ISBN13: 9789386235404
Binding: Paperback
Subject: N/A
Publisher: Orient Blackswan Pvt Ltd
Publisher Imprint: Orient Blackswan Pvt Ltd
Publication Date: January 1, 2017
Pages: 676
Original Price: INR 1900.0
Language: English
Edition: 2nd Edition
Item Weight: 860 grams
BISAC Subject(s): General

About The Book

This undergraduate textbook introduces students to the topic with a unique approach that emphasizes the modern finite element method alongside the classical method of Fourier analysis.

Additional features of this new edition include

broader coverage of PDE methods and applications, with new chapters on the method of characteristics, Sturmâ€“Liouville problems, and Green's functions, a new section on the finite difference method for the wave equation;
emphasis on linear algebra, particularly the idea of best approximation;
realistic physical parameters and meaningful experiments for many of the examples and exercises;
tutorials for the most popular software (MATLABâ„¢, Mathematicaâ„¢, and Mapleâ„¢) that can be used to reproduce the examples and solve the exercises.

The author continues to emphasize Fourier series and finite element methods, which were the primary scope of the first edition.

This book is written for undergraduate courses usually titled Introduction to Partial Differential Equations or Fourier Series and Boundary Value Problems.

Keywords: partial differential equations (PDEs), finite element method, Fourier analysis, finite difference method, linear algebra, MATLABâ„¢, Mathematicaâ„¢, and Mapleâ„¢

About The Author

Mark S. Gockenbach is Professor and Chair of the Department of Mathematical Sciences at Michigan Technological University. He is the author of Partial Differential Equations: Analytical and Numerical Methods (SIAM, 2002), Understanding and Implementing the Finite Element Method (SIAM, 2006), and Finite-Dimensional Linear Algebra (CRC Press, 2010). His research interests include inverse problems in PDEs and numerical methods and software for large-scale optimization problems.

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