Introduction to spectral methods (Fourier, Chebyshev, Fast Fourier Transform), finite element methods (Galerkin methods, energy estimates and error analysis), and mesh-free methods (Monte-Carlo, smoothed-particle hydrodynamics) for solving partial differential equations. Applications from science and engineering. Applications from science and engineering. Students are strongly encouraged to have programming skills (e.g.COMP SCI 200), undergraduate numerical analysis (e.g.MATH/COMP SCI 514orCOMP SCI 412), analysis (MATH 322and521) and linear algebra (e.g.MATH 341or equiv.)
Offering recorded · Spring 2027 · Sources
Past student reviews · Maurice Fabien
Maurice Fabien taught COMPSCI/MATH 715 with a challenging yet fair approach, though students found his delivery monotone and the course organization inconsistent. FEA material was often crammed into the final weeks, while MATLAB coding time was considered unnecessary. Assignments were strictly take-home, and students noted that effort directly correlated with outcomes.
historical GPA · grades
Spring 2023–Spring 2026