Effective Approximation for the Semiclassical Schrödinger Equation. - Philipp Bader; Arieh Iserles; Karolina Kropielnicka; Pranav Singh 001 (Found. Comput. Math., 2014)

Magnus-Lanczos Methods with Simplified Commutators for the Schrödinger Equation with a Time-Dependent Potential. - Arieh Iserles; Karolina Kropielnicka; Pranav Singh 001 (SIAM J. Numer. Anal., 2018)

Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime. - Winfried Auzinger; Harald Hofstätter; Othmar Koch; Karolina Kropielnicka; Pranav Singh 001 (Appl. Math. Comput., 2019)

Compact schemes for laser-matter interaction in Schrödinger equation based on effective splittings of Magnus expansion. - Arieh Iserles; Karolina Kropielnicka; Pranav Singh 001 (Comput. Phys. Commun., 2019)

Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials. - Arieh Iserles; Karolina Kropielnicka; Pranav Singh 001 (J. Comput. Phys., 2019)

Optimal control of spins by Analytical Lie Algebraic Derivatives. - Mohammadali Foroozandeh; Pranav Singh 001 (Autom., 2021)

Efficient Magnus-type integrators for solar energy conversion in Hubbard models. - Winfried Auzinger; Juliette Dubois; Karsten Held; Harald Hofstätter; Tobias Jawecki; Anna Kauch; Othmar Koch; Karolina Kropielnicka; Pranav Singh 001; Clemens Watzenböck (CoRR, 2021)

Unitarity of some barycentric rational approximants. - Tobias Jawecki; Pranav Singh 001 (CoRR, 2022)

Quantum simulation of highly-oscillatory many-body Hamiltonians for near-term devices. - Guannan Chen; Mohammadali Foroozandeh; Chris Budd; Pranav Singh 001 (CoRR, 2023)

Unitary rational best approximations to the exponential function. - Tobias Jawecki; Pranav Singh 001 (CoRR, 2023)

Optimal Parameters for Numerical Solvers of PDEs. - Gianluca Frasca Caccia; Pranav Singh 001 (J. Sci. Comput., 2023)

Computation of some dispersive equations through their iterated linearisation. - Guannan Chen; Arieh Iserles; Karolina Kropielnicka; Pranav Singh 001 (CoRR, 2024)