PUBLICATIONS
M. Condon, A. Iserles, K. Kropielnicka, P. Singh
Solving the wave equation with multifrequency oscillations
Journal of Computational Dynamics, 6(2), 239–249.
2019
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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
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P. Singh
Sixth-order schemes for laser–matter interaction in the Schrödinger equation
Journal of Chemical Physics,150 (15),154111.
2019
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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
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A. Iserles, K. Kropielnicka, P. Singh
Compact schemes for laser-matter interaction in Schrödinger equation
Computer Physics Communications, 234, 195–201.
2019
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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
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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
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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
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P. Bader, A. Iserles, K. Kropielnicka, P. Singh
Effective approximation for the semiclassical Schrödinger equation
Foundations of Computational Mathematics, 14(4) 689–720.
2014
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THESIS
P. Singh
High accuracy computational methods for the semiclassical Schrödinger equation
University of Cambridge.
2017
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