The Numerical Solution of Ordinary and Partial Differential Equations by Granville Sewell (PDF)

Description

The Numerical Solution of Ordinary and Partial Differential Equations is an introduction to the numerical solution of ordinary and partial differential equations. Finite difference methods for solving partial differential equations are mostly classical low order formulas, easy to program but not ideal for problems with poorly behaved solutions or (especially) for problems in irregular multidimensional regions. FORTRAN77 programs are used to implement many of the methods studied.Comprised of six chapters, this book begins with a review of direct methods for the solution of linear systems, with emphasis on the special features of the linear systems that arise when differential equations are solved. The next four chapters deal with the more commonly used finite difference methods for solving a variety of problems, including both ordinary differential equations and partial differential equations, and both initial value and boundary value problems. The final chapter is an overview of the basic ideas behind the finite element method and covers the Galerkin method for boundary value problems. Examples using piecewise linear trial functions, cubic hermite trial functions, and triangular elements are presented.This monograph is appropriate for senior-level undergraduate or first-year graduate students of mathematics.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I bought this book for a college course. It is an ok book and was useful for the class. However, it was not a particularly interesting book unless this topic is of great interest to you. It is written as a high level college text book and is not overly helpful and is not a step by step hand-holding math book (not that I was expecting it to be). This book is useful in the sense that there is not an abundance of books available on this specific topic.

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