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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…
math.ST2013
A Progressive Statistical Method for Preconditioning Matrix-Free Solution of High-Order Discretization of Linear Time-Dependent Problems
A. Ghasemi, L. K. Taylor
Preconditioning of a linear system obtained from spectral discretization of time-dependent PDEs often results in a full matrix which is expensive to compute and store specially whe…