Handbook of Differential Equations

This book compiles the most widely applicable methods for solving and approximating differential equations. as well as numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations.

For nearly every technique, the book provides: The types of equations to which the method is applicableThe idea behind the methodThe procedure for carrying out the methodAt least one simple example of the methodAny cautions that should be exercisedNotes for more advanced usersReferences to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs

(Chapter Headings) Definitions and Concepts. Transformations. Exact Analytical Methods. Exact Methods for ODEs. Exact Methods for PDEs. Approximate Analytical Methods. Numerical Methods: Concepts. Numerical Methods for ODEs. Numerical Methods for PDEs. List of Tables. List of Programs. List of Figures. Subject Index.