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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