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Finite volume methods for Tsunamis generated by submarine landslides
Submarine landslides can generate tsunamis, and the generated waves can be catastrophic when a large volume of landslide material is involved. Moreover, large earthquakes are often accompanied by submarine landslides that can enhance the magnitude of the resulting tsunamis. In this thesis, numerical schemes are developed to ...
Spectral Methods for Partial Differential Equations that Model Shallow Water Wave Phenomena
Mathematical models for waves on shallow water surfaces has been of interest to researchers dating back to the 1800's. These models are governed by partial differential equations, and many of them have rich mathematical structure as well as real world applications. This thesis explores a class of numerical techniques for ...