Numerical Methods for Partial Differential Equations

5 credits

Method of lines discretization. Initial and boundary value problems, including finite difference methods and spectral methods. Elliptic, parabolic, hyperbolic and dispersive equations. Stability, accuracy, and convergence theory. Prerequisite: either AMATH 352 (or equivalent), AMATH 481 (or equivalent), AMATH 569 (which may be taken concurrently), AMATH 581, AMATH 584/MATH 584, AMATH 585/MATH 585, or permission of instructor; recommended: AMATH 584/MATH 584 and AMATH 585/MATH 585. Offered: jointly with AMATH 586/ATMOS 581; Sp.