Karolina Kropielnicka

23 papers Journal 23
YearRankTypeTitle / Venue / Authors
2025 J jnl
Effective highly accurate time integrators for linear Klein-Gordon equations across the scales.
J. Num. Math.
Karolina Kropielnicka, Karolina Lademann, Katharina Schratz
2025 J jnl
Fourth-order compact exponential splittings for unbounded operators.
CoRR
Juan Carlos del Valle, Arieh Iserles, Karolina Kropielnicka
2025 J jnl
Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators: Construction and Convergence.
SIAM J. Numer. Anal.
Karolina Kropielnicka, Juan Carlos del Valle
2024 J jnl
An elementary approach to splittings of unbounded operators.
Comput. Math. Appl.
Arieh Iserles, Karolina Kropielnicka
2024 J jnl
An elementary approach to splittings of unbounded operators.
CoRR
Arieh Iserles, Karolina Kropielnicka
2024 J jnl
Asymptotic expansions for the linear PDEs with oscillatory input terms; Analytical form and error analysis.
Comput. Math. Appl.
Karolina Kropielnicka, Rafal Perczynski
2024 J jnl
Computation of some dispersive equations through their iterated linearisation.
CoRR
Guannan Chen, Arieh Iserles, Karolina Kropielnicka, Pranav Singh
2024 J jnl
Splitting methods for unbounded operators.
CoRR
Arieh Iserles, Karolina Kropielnicka
2023 J jnl
Asymptotic expansions for the linear PDEs with oscillatory input terms; Analytical form and error analysis.
CoRR
Karolina Kropielnicka, Rafal Perczynski
2023 J jnl
Family of Strang-type exponential splittings in the presence of unbounded and time dependent operators.
CoRR
Juan Carlos del Valle, Karolina Kropielnicka
2022 J jnl
Third order, uniform in low to high oscillatory coefficients, exponential integrators for Klein-Gordon equations.
CoRR
Karolina Kropielnicka, Karolina Lademann
2021 J jnl
Asymptotic numerical solver for the linear Klein-Gordon equation with space- and time-dependent mass.
Appl. Math. Lett.
Marissa Condon, Karolina Kropielnicka, Karolina Lademann, Rafal Perczynski
2021 J jnl
Effective high order integrators for linear Klein-Gordon equations in low to highly oscillatory regimes.
CoRR
Karolina Kropielnicka, Karolina Lademann, Katharina Schratz
2021 J jnl
Efficient Magnus-type integrators for solar energy conversion in Hubbard models.
CoRR
Winfried Auzinger, Juliette Dubois, Karsten Held, Harald Hofstätter, Tobias Jawecki, Anna Kauch, Othmar Koch, Karolina Kropielnicka, Pranav Singh, Clemens Watzenböck
2021 J jnl
Solving the linear semiclassical Schrödinger equation on the real line.
CoRR
Arieh Iserles, Karolina Kropielnicka, Katharina Schratz, Marcus Webb
2019 J jnl
Compact schemes for laser-matter interaction in Schrödinger equation based on effective splittings of Magnus expansion.
Comput. Phys. Commun.
Arieh Iserles, Karolina Kropielnicka, Pranav Singh
2019 J jnl
Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials.
J. Comput. Phys.
Arieh Iserles, Karolina Kropielnicka, Pranav Singh
2019 J jnl
The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures.
SIAM J. Numer. Anal.
José Antonio Carrillo, Piotr Gwiazda, Karolina Kropielnicka, Anna K. Marciniak-Czochra
2019 J jnl
Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime.
Appl. Math. Comput.
Winfried Auzinger, Harald Hofstätter, Othmar Koch, Karolina Kropielnicka, Pranav Singh
2018 J jnl
Magnus-Lanczos Methods with Simplified Commutators for the Schrödinger Equation with a Time-Dependent Potential.
SIAM J. Numer. Anal.
Arieh Iserles, Karolina Kropielnicka, Pranav Singh
2016 J jnl
The Escalator Boxcar Train method for a system of age-structured equations.
Networks Heterog. Media
Piotr Gwiazda, Karolina Kropielnicka, Anna K. Marciniak-Czochra
2014 J jnl
Effective Approximation for the Semiclassical Schrödinger Equation.
Found. Comput. Math.
Philipp Bader, Arieh Iserles, Karolina Kropielnicka, Pranav Singh
2011 J jnl
Estimate of solutions for differential and difference functional equations with applications to difference methods.
Appl. Math. Comput.
Karolina Kropielnicka, L. Sapa