Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively.

Also, the solutions to linear difference equations over the circle group can be simply described in a fashion which an example shows cannot be extended to all compact abelian groups.

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 ...