Rosenbrock--Krylov Methods for Large Systems of Differential Equations P Tranquilli, A Sandu SIAM Journal on Scientific Computing 36 (3), A1313-A1338, 2014 | 51 | 2014 |

New Adaptive Exponential Propagation Iterative Methods of Runge--Kutta Type M Tokman, J Loffeld, P Tranquilli SIAM Journal on Scientific Computing 34 (5), A2650-A2669, 2012 | 41 | 2012 |

Exponential-Krylov methods for ordinary differential equations P Tranquilli, A Sandu Journal of Computational Physics 278, 31-46, 2014 | 19 | 2014 |

EPIRK-W and EPIRK-K time discretization methods M Narayanamurthi, P Tranquilli, A Sandu, M Tokman Journal of Scientific Computing 78 (1), 167-201, 2019 | 15 | 2019 |

A numerical investigation of matrix-free implicit time-stepping methods for large CFD simulations A Sarshar, P Tranquilli, B Pickering, A McCall, CJ Roy, A Sandu Computers & Fluids 159, 53-63, 2017 | 14 | 2017 |

Analytical Jacobian-vector products for the matrix-free time integration of partial differential equations P Tranquilli, SR Glandon, A Sarshar, A Sandu Journal of Computational and Applied Mathematics 310, 213-223, 2017 | 14 | 2017 |

Numerical solution of the Fokker–Planck equation with variable coefficients AD Kim, P Tranquilli Journal of Quantitative Spectroscopy and Radiative Transfer 109 (5), 727-740, 2008 | 14 | 2008 |

DATeS: A highly-extensible data assimilation testing suite A Attia, A Sandu arXiv preprint arXiv:1704.05594, 2017 | 6 | 2017 |

Adaptive Krylov-type time integration methods P Tranquilli, R Glandon, A Sandu arXiv preprint arXiv:1910.02514, 2019 | 4 | 2019 |

Application of approximate matrix factorization to high order linearly implicit Runge–Kutta methods H Zhang, A Sandu, P Tranquilli Journal of Computational and Applied Mathematics 286, 196-210, 2015 | 4 | 2015 |

Application of approximate matrix factorization to high order linearly implicit Runge–Kutta methods H Zhang, A Sandu, P Tranquilli Journal of Computational and Applied Mathematics 286, 196-210, 2015 | 4 | 2015 |

CUDA acceleration of a matrix-free Rosenbrock-K method applied to the shallow water equations P Tranquilli, R Glandon, A Sandu Proceedings of the Workshop on Latest Advances in Scalable Algorithms for …, 2013 | 3 | 2013 |

Biorthogonal Rosenbrock-Krylov time discretization methods R Glandon, P Tranquilli, A Sandu Applied Numerical Mathematics 150, 233-251, 2020 | 2 | 2020 |

Subspace adaptivity in Rosenbrock–Krylov methods for the time integration of initial value problems P Tranquilli, R Glandon, A Sandu Journal of Computational and Applied Mathematics 385, 113188, 2020 | 2 | 2020 |

Biorthogonal Rosenbrock-Krylov time discretization methods R Glandon, P Tranquilli, A Sandu arXiv preprint arXiv:1908.10531, 2019 | 2 | 2019 |

Solving stochastic chemical kinetics by Metropolis Hastings sampling ASZ Moosavi, P Tranquilli, A Sandu arXiv preprint arXiv:1410.8155, 2014 | 1 | 2014 |

LIRK-W: Linearly-implicit Runge-Kutta methods with approximate matrix factorization P Tranquilli, A Sandu, H Zhang arXiv preprint arXiv:1611.07013, 2016 | | 2016 |

Lightly-Implicit Methods for the Time Integration of Large Applications PJ Tranquilli Virginia Tech, 2016 | | 2016 |

Solving stochastic chemical kinetics by Metropolis Hastings sampling AS Zavar Moosavi, P Tranquilli, A Sandu arXiv, arXiv: 1410.8155, 2014 | | 2014 |

Lightly Implicit Krylov-Exponential (LIKE) Methods. P Tranquilli, A Sandu CoRR, 2014 | | 2014 |