The book "Numerical Analysis of Partial Differential Equations" offers a comprehensive examination of numerical methods for solving partial differential equations. It brings together contributions from leading experts in the field, covering various aspects of numerical analysis, including optimization, stability of computations, and error estimates. The topics addressed range from the theory of neutron diffusion to hydrodynamic problems and function approximation. The diversity of approaches and methods presented in this work makes it a valuable resource for students and professionals dealing with the numerical solution of complex mathematical problems. The contributions are both theoretically grounded and practically oriented, enabling readers to understand and apply the concepts in real-world applications.