My principal research interests are in the study of nonlinear wave propagation. As as applied mathematician, I am especially interested in collaborating with experimentalists, so that we build the theory and the experimental record together. Much of my recent work has focused on the dynamics of ocean waves, including their stability.
keywords
partial differential equations, with emphasis on wave propagation, and special interest in nonlinear wave propagation
APPM 4350 - Methods in Applied Mathematics: Fourier Series and Boundary Value Problems
Primary Instructor
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Fall 2018 / Fall 2019 / Fall 2021
Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution of these equations via separation of variables, with Fourier series, Fourier integrals, and more general eigenfunction expansions. Same as APPM 5350.
