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Bernatz, Richard, 1955-

Fourier series and numerical methods for partial differential equations / Richard Bernatz. - 1 online resource (xiii, 318 pages) : illustrations

Includes bibliographical references (pages 311-313) and index.

Introduction -- Fourier series -- Sturm -- Liouville problems -- Heat equation -- Heat transfer in 1D -- Heat transfer in 2D and 3D -- Wave equation -- Numerical methods: an overview -- The finite difference method -- Finite element method -- Finite analytic method.

The importance of partial differential equations (PDEs) in modeling phenomena in engineering as well as in the physical, natural, and social sciences is well known by students and practitioners in these fields. Striking a balance between theory and applications, Fourier Series and Numerical Methods for Partial Differential Equations presents an introduction to the analytical and numerical methods that are essential for working with partial differential equations. Combining methodologies from calculus, introductory linear algebra, and ordinary differential equations (ODEs), the book strengthens.

ISBN: 9780470651377 0470651377 0470651385 9780470651384

Standard No.: 9786612728785

Source: 272878 MIL

Subjects--Topical Terms:
Fourier series.
Differential equations, Partial--Numerical solutions.
Mathematics.
Fourier, Séries de.
Équations aux dérivées partielles--Solutions numériques.
MATHEMATICS--Differential Equations--Partial.
Differential equations, Partial--Numerical solutions.
Fourier series.

Index Terms--Genre/Form:
Electronic books.

LC Class. No.: QA404 / .B47 2010eb

Dewey Class. No.: 515/.353