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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...

This book gives a systematic coverage of knowledge needed for numerical computation of fluid flows and heat transfer in five parts. Part One gives a brief history of computational machinery and a presentation of the governing equations for fluid flows and heat transfer. Part Two is devoted to the principles of the finite analytic method and its development for various types of equations. Part Three concentrates on methods of coordinate generation for applications on complex domains. Part Four presents various schemes for accomplishing the task in Part Three. Examples of a wide variety of...