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PUBLICATIONS

T. Jawecki, P. Singh

Unitary rational best approximations to the exponential function

submitted

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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

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2023

arXiv:2312.08310 [quant-ph]

T. Jawecki, P. Singh

Unitarity of some barycentric rational approximants

IMA Journal of Numerical Analysis [published online] drad066

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2023

doi 10.1093/imanum/drad066

G. Frasca-Caccia, P. Singh

Optimal parameters for numerical solvers of PDEs

Journal of Scientific Computing, 97, 11

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2023

D. L. Goodwin, M. Foroozandeh, P. Singh

Adaptive optimal control of entangled qubits

Science Advances 8(49), eabq4244

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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

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2022

M. Foroozandeh, P. Singh

Optimal control of spins by Analytical Lie Algebraic Derivatives

Automatica, 129, 109611.

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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

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2019

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

Solving the wave equation with multifrequency oscillations

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

bib

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.

bib

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.

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2019

A. Iserles, K. Kropielnicka, P. Singh

Compact schemes for laser-matter interaction in Schrödinger equation

Computer Physics Communications, 234, 195–201.

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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

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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.

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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).

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2016

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

Effective approximation for the semiclassical Schrödinger equation

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

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2014

THESIS

P. Singh

High accuracy computational methods for the semiclassical Schrödinger equation

University of Cambridge.

2017

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