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

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

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

Dr Pranav Singh
6 West 1.24A
Department of Mathematical Sciences
University of Bath
Bath, BA2 7AY, United Kingdom

© 2020 Pranav Singh