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PUBLICATIONS
L. M. Kreusser, H. E. Lockyer, E. H. Müller, P. Singh
Learning efficient and provably convergent splitting methods
submitted
2024
S. Maslovskaya, C. Offen, S. Ober-Blöbaum, P. Singh, B. Wembe
Adaptive higher order reversible integrators for memory efficient deep learning
submitted
2024
S. Maslovskaya, C. Offen, S. Ober-Blöbaum, P. Singh, B. Wembe
Commutator-free Cayley methods
submitted
2024
G. Chen, A. Iserles, K. Kropielnicka, P. Singh
Computation of some dispersive equations through their iterated linearisation
submitted
2024
arXiv:2405.04958 [math.NA]
T. Jawecki, P. Singh
Unitary rational best approximations to the exponential function
submitted
2023
arXiv:2312.13809 [math.NA]
G. Chen, M. Foroozandeh, C. Budd, P. Singh
Quantum simulation of highly-oscillatory many-body Hamiltonians for near-term devices
submitted
2023
arXiv:2312.08310 [quant-ph]
T. Jawecki, P. Singh
Unitarity of some barycentric rational approximants
IMA Journal of Numerical Analysis [published online] drad066
2023
doi 10.1093/imanum/drad066
G. Frasca-Caccia, P. Singh
Optimal parameters for numerical solvers of PDEs
Journal of Scientific Computing, 97, 11
2023
D. L. Goodwin, M. Foroozandeh, P. Singh
Adaptive optimal control of entangled qubits
Science Advances 8(49), eabq4244
2022
W. Auzinger, J. Dubois, K. Held, H. Hofstätter, T. Jawecki, A. Kauch, O. Koch, K. Kropielnicka, P. Singh, C. Watzenböck
Efficient Magnus-type integrators for solar energy conversion in Hubbard models
Journal of Computational Mathematics and Data Science, 2, 100018
2022
M. Foroozandeh, P. Singh
Optimal control of spins by Analytical Lie Algebraic Derivatives
Automatica, 129, 109611.
2021
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
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
P. Singh
Sixth-order schemes for laser–matter interaction in the Schrödinger equation
Journal of Chemical Physics,150 (15),154111.
2019
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
A. Iserles, K. Kropielnicka, P. Singh
Compact schemes for laser-matter interaction in Schrödinger equation
Computer Physics Communications, 234, 195–201.
2019
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
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
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
P. Bader, A. Iserles, K. Kropielnicka, P. Singh
Effective approximation for the semiclassical Schrödinger equation
Foundations of Computational Mathematics, 14(4) 689–720.
2014
THESIS
P. Singh
High accuracy computational methods for the semiclassical Schrödinger equation
University of Cambridge.
2017
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