It is one more example of the author's untiring industry and, so far as we have tested it, of his accuracy in details of analysis. Solutions of the Examples in a Treatise on Differential Equations.

We present the multiplier method of constructing conservative finite difference schemes for ordinary and partial differential equations. Given a system of differential equations possessing ...

Abstract ABSTRACT In this paper we investigate the effectiveness of alternating direction implicit (ADI) time-discretization schemes in the numerical solution of the three-dimensional ...

We present a finite difference scheme, applicable to general irregular planar domains, to approximate the biharmonic equation. The irregular domain is embedded in a Cartesian grid.