Publications

A Generalized Alternating Anderson Acceleration Method, Y. He, S. Leveque, arXiv preprint arXiv:2508.10158;

An Augmented Lagrangian Preconditioner for Navier–Stokes Equations with Runge–Kutta in Time, S. Leveque, Y. He, M. Olshanskii, arXiv preprint arXiv:2506.04451;

Automatic Differentiation for All-at-once Systems Arising in Certain PDE-Constrained Optimization Problems, S. Leveque, J. R. Maddison, J. W. Pearson, arXiv preprint arXiv:2408.17312;

An Augmented Lagrangian Preconditioner for the Control of the Navier–Stokes Equations, S. Leveque, M. Benzi, P. E. Farrell, arXiv preprint arXiv:2408.05095;

Parallel-in-Time Solver for the All-at-Once Runge–Kutta Discretization, S. Leveque, L. Bergamaschi, Á. Martínez, J. W. Pearson, SIAM Journal on Matrix Analysis and Applications, 45 (4), pp. 1902--1928;

Parameter-robust Preconditioning for Oseen Iteration Applied to Stationary and Instationary Navier–Stokes Control, S. Leveque, J. W. Pearson, SIAM Journal on Scientific Computing, 44 (3), B694-B722;

Fast Iterative Solver for the Optimal Control of Time-Dependent PDEs with Crank–Nicolson Discretization in Time, S. Leveque, J. W. Pearson, Numerical Linear Algebra with Applications, 29 (2), e2419;

Fast Solution Methods for Convex Quadratic Optimization of Fractional Differential Equations, S. Pougkakiotis, J. W. Pearson, S. Leveque, J. Gondzio, SIAM Journal on Matrix Analysis and Applications, 41 (3), 1443-1476;

Uncertainty Quantification of Unsteady Source-Flows in Heterogeneous Porous Media, G. Severino, S. Leveque, G. Toraldo, Journal of Fluid Mechanics, 870, 5-26.

Parameter-robust Preconditioning for Unsteady Stokes Control Problems, S. Leveque, J. W. Pearson, Proceedings in Applied Mathematics & Mechanics, 21, e202100131;

Some Remarks on the Numerical Solution of Parabolic Partial Differential Equations, R. Campagna, S. Cuomo, S. Leveque, G. Toraldo, F. Giannino, G. Severino, AIP Conference Proceedings, 1906.