Explore advanced numerical methods for partial differential equations in this doctoral-level lecture from the Instituto de Matemática Pura e Aplicada. Delve into complex mathematical concepts and techniques as Professor André Nachbin presents the 18th class in the series on Numerical Methods for PDEs. Gain insights into cutting-edge approaches for solving and analyzing partial differential equations, essential for various scientific and engineering applications. Enhance your understanding of advanced mathematical modeling and computational methods in this comprehensive 1-hour 19-minute session, designed for graduate students and researchers in applied mathematics and related fields.