eBook - PDF

The Numerical Solution of Ordinary and Partial Differential Equations

Name: The Numerical Solution of Ordinary and Partial Differential Equations
ISBN: 9781483259147

Granville Sewell,

284 pages
English
PDF
Available on iOS & Android

eBook - PDF

The Numerical Solution of Ordinary and Partial Differential Equations

Granville Sewell,

About this book

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.

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Yes, you can access The Numerical Solution of Ordinary and Partial Differential Equations by Granville Sewell in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.