Read "Computational Science and Engineering" by Gilbert Strang (PDF via MIT)
Gilbert Strang’s Computational Science and Engineering (CSE) bridges the gap between pure mathematics and practical simulation. Unlike traditional numerical analysis texts, Strang emphasizes the four fundamental subspaces of linear algebra and their application to differential equations, signal processing, and equilibrium problems. This report summarizes Strang’s approach to three core CSE areas: solving large linear systems, finite difference methods, and the role of eigenvectors in stability analysis. computational science and engineering strang
Finding the most efficient path in a world of constraints. The Human Element finite difference methods