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Numerical Solution of Partial Differential Equations II
6 units

Finite element algorithms for elliptic equations and systems. Overview of error analysis for finite elements. Finite elements for parabolic equations and error estimates. First-order hyperbolic equations and systems in one space variable. Shocks and numerical methods for shock capturing. Stability in hyperbolic problems. Extensions to more space variables. Finite element methods for second-order hyperbolic equations. Error estimates for hyperbolic problems.