Estimate of solutions for differential and difference functional equations with applications to difference methods. - Karolina Kropielnicka; L. Sapa (Appl. Math. Comput., 2011)

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

The Escalator Boxcar Train method for a system of age-structured equations. - Piotr Gwiazda; Karolina Kropielnicka; Anna K. Marciniak-Czochra (Networks Heterog. Media, 2016)

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)

The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures. - José Antonio Carrillo 001; Piotr Gwiazda; Karolina Kropielnicka; Anna K. Marciniak-Czochra (SIAM J. Numer. Anal., 2019)

Asymptotic numerical solver for the linear Klein-Gordon equation with space- and time-dependent mass. - Marissa Condon; Karolina Kropielnicka; Karolina Lademann; Rafal Perczynski (Appl. Math. Lett., 2021)

Solving the linear semiclassical Schrödinger equation on the real line. - Arieh Iserles; Karolina Kropielnicka; Katharina Schratz; Marcus Webb (CoRR, 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)

Effective high order integrators for linear Klein-Gordon equations in low to highly oscillatory regimes. - Karolina Kropielnicka; Karolina Lademann; Katharina Schratz (CoRR, 2021)

Third order, uniform in low to high oscillatory coefficients, exponential integrators for Klein-Gordon equations. - Karolina Kropielnicka; Karolina Lademann (CoRR, 2022)

Family of Strang-type exponential splittings in the presence of unbounded and time dependent operators. - Juan Carlos del Valle; Karolina Kropielnicka (CoRR, 2023)

An elementary approach to splittings of unbounded operators. - Arieh Iserles; Karolina Kropielnicka (Comput. Math. Appl., 2024)

Asymptotic expansions for the linear PDEs with oscillatory input terms; Analytical form and error analysis. - Karolina Kropielnicka; Rafal Perczynski (Comput. Math. Appl., 2024)

Splitting methods for unbounded operators. - Arieh Iserles; Karolina Kropielnicka (CoRR, 2024)

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

Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence. - Karolina Kropielnicka; Juan Carlos del Valle (SIAM J. Numer. Anal., 2025)

Fourth-order compact exponential splittings for unbounded operators. - Juan Carlos del Valle; Arieh Iserles; Karolina Kropielnicka (CoRR, 2025)

Effective highly accurate time integrators for linear Klein-Gordon equations across the scales. - Karolina Kropielnicka; Karolina Lademann; Katharina Schratz (J. Num. Math., 2025)