This text investigates the development and validation of robust numerical difference schemes designed to solve singular perturbation problems in boundary value equations. Grigory I. Shishkin and Lidia P. Shishkina leverage their extensive expertise in computational mathematics to present a rigorous framework for addressing these complex problems. The authors provide a detailed analysis of epsilon-uniform convergence, ensuring that numerical solutions remain stable and accurate even as perturbation parameters approach zero. By surveying contemporary approaches, the book establishes a technical foundation for advancing numerical methods in applied fields.

Experts recognize this monograph as a specialized resource for researchers and graduate students working in numerical analysis. Readers frequently note the high level of mathematical rigor and the technical density required to fully grasp the proposed numerical schemes.