32 citations · 68 across the 6 of their papers we have counts for
6 papers
Adaptive Krylov-Type Time Integration Methods
Paul Tranquilli, Ross Glandon, Adrian Sandu
The Rosenbrock-Krylov family of time integration schemes is an extension of Rosenbrock-W methods that employs a specific Krylov based approximation of the linear system solutions a…
Biorthogonal Rosenbrock-Krylov time discretization methods
Ross Glandon, Paul Tranquilli, Adrian Sandu
Many scientific applications require the solution of large initial-value problems, such as those produced by the method of lines after semi-discretization in space of partial diffe…
A Numerical Investigation of Matrix-Free Implicit Time-Stepping Methods for Large CFD Simulations
Arash Sarshar, Paul Tranquilli, Brent Pickering +3
This paper is concerned with the development and testing of advanced time-stepping methods suited for the integration of time-accurate, real-world applications of computational flu…
Solving stochastic chemical kinetics by Metropolis Hastings sampling
Azam S. Zavar Moosavi, Paul Tranquilli, Adrian Sandu
This study considers using Metropolis-Hastings algorithm for stochastic simulation of chemical reactions. The proposed method uses SSA (Stochastic Simulation Algorithm) distributio…
Exponential-Krylov methods for ordinary differential equations
Paul Tranquilli, Adrian Sandu
This paper develops a new class of exponential-type integrators where all the matrix exponentiations are performed in a single Krylov space of low dimension. The new family, called…
Rosenbrock-Krylov Methods for Large Systems of Differential Equations
Paul Tranquilli, Adrian Sandu
This paper develops a new class of Rosenbrock-type integrators based on a Krylov space solution of the linear systems. The new family, called Rosenbrock-Krylov (Rosenbrock-K), is w…