Numerical Methods
Courses
Root finding, quadrature, and the floating-point reality under every computation.
Content for this course is still being written. For now, explore the skill map below — every node links to its full page.
Skill map
Each node is a skill; an arrow means "learn this first." Deep-dive links go to the full pages.
Robust root-finding by halving a bracketing interval.
Collocation points that defeat Runge oscillation.
Partition a domain into elements with basis functions.
Transform-based differentiation, exponentially accurate.
Recast a PDE as a variational problem over test functions.
Solve BVPs with a spectral differentiation matrix.
Assemble a stiffness matrix; solve the Galerkin system.
Triangular elements and gradient assembly in 2D.
O(h²) error for smooth solutions on good meshes.