Block Method for Solving the Laplace Equation and for Constructing Conformal Mappings

This technical treatise by the Russian mathematician Evgenii A. Volkov focuses on numerical methods for solving partial differential equations, specifically the Laplace equation. It serves as a distillation of years of research into the block method, an approach designed to improve the accuracy and efficiency of solving boundary value problems in complex domains, which is a critical necessity in fields like fluid dynamics and elasticity theory.

The publication is part of a broader effort by academic presses to preserve and distribute foundational works in computational mathematics to a contemporary audience. By formalizing these algorithms, the work provides a rigorous framework for constructing conformal mappings, which are essential for simplifying geometric boundaries in physics simulations. It is intended primarily for researchers and graduate students who require a structured, mathematical exposition of these specific numerical techniques.