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math.NA2016
Spectral/hp Hull: A Degree of Freedom Reducing Discontinuous Spectral Element Method for Conservation Laws with Application to Compressible Fluid Flow
A. Ghasemi, L. K. Taylor, J. C. Newman
In conventional spectral/finite element methods, the triangulation/quadrilateralization of the domain produces many interior edges which require additional DOF. What if we could di…
math.NA2013
Numerical Stability and Catalan Numbers
Arash Ghasemi, Kidambi Sreenivas, Lafayette K. Taylor
To predict allowable time-step size for the fully discretized nonlinear differential equations, a stability theory is developed using exact determination of an infinite perturbatio…