This volume presents some constructive methods-based primarily on original techniques- developed in the framework of analytic functions. and their application to important, modern applications. The monograph contains results that are prepared for application, so the book is useful to both experts and non-specialists. Constructive Methods for Linear and Nonlinear Boundary Value Problems presents many recent results to Western readers for the first time. It will prove useful a broad audience, including specialists in analytic function theory, non-specialist mathematicians, and non-mathematicians who can apply these methods in their research in mechanics and physics.