Browsing Mathematics by Author "Spurr, Michael J."
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Improved Tsunami Modeling Via q-Advanced Special Functions
Olivo, James M. (East Carolina University, 2013)This thesis studies q-advanced functions that are used as forcing terms in the forced wave equation and the Korteweg-de Vries equation in modeling tsunamis. The model improves existing tsunami models and is compared to ... -
Modeling Tsunami Waves Using Q-Advanced Waves in 2-D
Cook, Cameron (East Carolina University, 2015-12-15)A two-dimensional numerical approximation for modeling tsunamis is developed. New q-advanced functions are used to model the forcing due to an earthquake. These results are used to model the Japanese tsunami of 2011, and ... -
Solutions of a Class of Multiplicatively Advanced Differential Equations II: Fourier Transforms
Pravica, David W.; Randriampiry, Njinasoa; Spurr, Michael J. (2022) -
Solutions of a Class of Multiplicatively Advanced Differential Equations II: Fourier Transforms
Pravica, David W.; Randriampiry, Njinasoa; Spurr, Michael J. (2022-07-07)For a wide class of solutions to multiplicatively advanced differential equations (MADEs), a comprehensive set of relations is established between their Fourier transforms and Jacobi theta functions. In demonstrating this ...