Pranav Singh

G. Frasca-Caccia, P. Singh

Optimal parameters for numerical solvers of PDEs

arXiv:2108.03459 [math.NA].

submitted

doi arXiv:2108.03459 [math.NA]

M. Foroozandeh, P. Singh

Optimal control of spins by Analytical Lie Algebraic Derivatives

Automatica, 129, 109611.

2021

doi 10.1016/j.automatica.2021.109611

M. Condon, A. Iserles, K. Kropielnicka, P. Singh

Solving the wave equation with multifrequency oscillations

Journal of Computational Dynamics, 6(2), 239–249.

2019

doi 10.3934/jcd.2019012 

W. Auzinger, H. Hofstätter, O. Koch, K. Kropielnicka, P. Singh

Time adaptive Zassenhaus splittings for the
Schrödinger equation in the semiclassical regime

Applied Mathematics and Computation, 362, 124550

2019

doi 10.1016/j.amc.2019.06.064

P. Singh

Sixth-order schemes for laser–matter interaction in the Schrödinger equation

Journal of Chemical Physics,150 (15),154111.

2019

doi 10.1063/1.5065902

A. Iserles, K. Kropielnicka, P. Singh

Solving Schrödinger equation in semiclassical regime with highly oscillatory

time-dependent potentials

Journal of Computational Physics, 376, 564–584.

2019

doi 10.1016/j.jcp.2018.09.047

A. Iserles, K. Kropielnicka, P. Singh

Compact schemes for laser-matter interaction in Schrödinger equation

Computer Physics Communications, 234, 195–201.

2019

doi 10.1016/j.cpc.2018.07.010

T. Allie-Ebrahim, V. Russo, O. Ortona, L. Paduano, R. Tesser, M. Di Serio, P. Singh, Q. Zhu, G. Moggridge, C. D’Agostino

A predictive model for the diffusion of a highly non-ideal ternary system

Physical Chemistry Chemical Physics, 20, 18436–18446

2018

doi 10.1039/C8CP03227K

A. Iserles, K. Kropielnicka, P. Singh

Magnus–Lanczos methods with simplified commutators for the Schrödinger equation

with a time-dependent potential

SIAM Journal of Numerical Analysis, 56(3), 1547–1569.

2018

doi 10.1137/17M1149833

P. Bader, A. Iserles, K. Kropielnicka, P. Singh

Efficient methods for linear Schrödinger equation in the semiclassical regime

with time-dependent potential

Proceedings of the Royal Society A, 472(2193).

2016

doi 10.1098/rspa.2015.0733

P. Bader, A. Iserles, K. Kropielnicka, P. Singh

Effective approximation for the semiclassical Schrödinger equation

Foundations of Computational Mathematics, 14(4) 689–720.

2014

doi 10.1007/s10208-013-9182-8