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

The Theory of Difference Schemes emphasizes solutions to boundary value problems through multiple difference schemes. It addresses the construction of approxima

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

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