This book explores new difference schemes for approximating the solutions of regular and singular perturbation boundary-value problems for PDEs. The constructio

This book develops a systematic and rigorous mathematical theory of finite difference methods for linear elliptic, parabolic and hyperbolic partial differential

Much applied and theoretical research in natural sciences leads to boundary-value problems stated in terms of differential equations. When solving these problem

This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numerical integration of diffe