METHODS OF COMPUTATIONAL MATHEMATICS II

3 credits.

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 514 or COMP SCI 412 ), analysis ( MATH 322 and 521 ) and linear algebra (e.g. MATH 341 or equiv.)