Rosenbrock--Krylov Methods for Large Systems of Differential Equations P Tranquilli, A Sandu SIAM Journal on Scientific Computing 36 (3), A1313-A1338, 2014 | 58 | 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 | 55 | 2012 |
EPIRK-W and EPIRK-K Time Discretization Methods M Narayanamurthi, P Tranquilli, A Sandu, M Tokman Journal of Scientific Computing 78, 167-201, 2019 | 26 | 2019 |
Exponential-Krylov methods for ordinary differential equations P Tranquilli, A Sandu Journal of Computational Physics 278, 31-46, 2014 | 20 | 2014 |
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 | 20 | 2008 |
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 | 18 | 2017 |
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 | 15 | 2017 |
A deterministic verification strategy for electrostatic particle-in-cell algorithms in arbitrary spatial dimensions using the method of manufactured solutions P Tranquilli, L Ricketson, L Chacón Journal of Computational Physics 448, 110751, 2022 | 11 | 2022 |
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 | 10 | 2015 |
Dates: A highly-extensible data assimilation testing suite A Attia, A Sandu arXiv preprint arXiv:1704.05594, 2017 | 7 | 2017 |
EPIRK-K time discretization methods M Narayanamurthi, P Tranquilli, A Sandu, MEW Tokman J. Sci. Comput 78, 167-201, 2019 | 4 | 2019 |
Biorthogonal Rosenbrock-Krylov time discretization methods R Glandon, P Tranquilli, A Sandu Applied Numerical Mathematics 150, 233-251, 2020 | 3 | 2020 |
LIRK-W: Linearly-implicit Runge-Kutta methods with approximate matrix factorization P Tranquilli, A Sandu, H Zhang arXiv preprint arXiv:1611.07013, 2016 | 3 | 2016 |
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 |
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, 2021 | 2 | 2021 |
Adaptive Krylov-type time integration methods P Tranquilli, R Glandon, A Sandu arXiv preprint arXiv:1910.02514, 2019 | 2 | 2019 |
Deterministic verification for electrostatic particle-in-cell algorithms using the method of manufactured solutions. P Tranquilli, L Ricketson, L Chacon APS Division of Plasma Physics Meeting Abstracts 2021, CO08. 006, 2021 | 1 | 2021 |
Solving stochastic chemical kinetics by Metropolis Hastings sampling ASZ Moosavi, P Tranquilli, A Sandu arXiv preprint arXiv:1410.8155, 2014 | 1 | 2014 |
Hierarchical, Multimodel, Multiscale Parallel-In-Time P Tranquilli, L Ricketson, T Haut, J Hittinger APS Division of Plasma Physics Meeting Abstracts 2022, TP11. 112, 2022 | | 2022 |
Application of Equation-Free Projective Integration to Gyrokinetic Turbulence Simulations in XGC B Sturdevant, R Hager, L Ricketson, P Tranquilli, CS Chang, J Hittinger, ... APS Division of Plasma Physics Meeting Abstracts 2020, PP12. 016, 2020 | | 2020 |