Special Applied & Computational Math Seminar Series
***Attend In person ~ ANB 104***
***Attend Online ~ Zoom link below***
This talk discusses efforts to study wave-like phenomena in realistic applications through the development of new high-order methodologies for the numerical analysis of the partial differential equations (PDEs) that govern both linear and nonlinear behavior. These techniques include new Fourier-based methods in the time-domain as well as adaptive boundary element methods in frequency-space, where the ultimate goal is to provide fast, stable and physically-faithful resolution of the underlying mechanical dynamics. With an eye towards mutual validation of both simulation and experiment, the efficacy of these tools will be demonstrated through some of the collaborative scientific problems that have inspired them, including those in materials science (ultrasonic non-destructive testing), cardiovascular medicine (pulsatile blood flow) and geophysics (supershear earthquakes and tsunami generation).