Courses - Spring 2025
AMSC714
Numerical Methods For Stationary PDEs
Credits:
3
Grad Meth:
Reg, Aud, S-F
Credit only granted for: AMSC 714 or AMSC 614.
Formerly: AMSC614.
Additional information: This course is a complement to the graduate courses MATH 673 and MATH 674 in PDEs, AMSC 666 in numerical analysis, and AMSC 660 and AMSC 661 in scientific computing. Students must have completed one graduate level course in partial differential equations or one graduate level course in numerical analysis or scientific computing.
Topics include: Maximum principle, finite difference method, upwinding, error analysis; Variational formulation of elliptic problems, inf-sup theory; The finite element method and its implementation; Piecewise polynomial interpolation theory in Sobolev spaces; A priori and a posteriori error analyses, adaptivity; Fast solvers; Variational crimes; Mixed finite element methods.
Flagship Institution of the University System of Maryland
University of Maryland, College Park, MD 20742, USA
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Phone:
301.405.1000
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