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Karolina Kropielnicka
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2020 – today
- 2024
- [j10]Karolina Kropielnicka
, Rafal Perczynski
:
Asymptotic expansions for the linear PDEs with oscillatory input terms; Analytical form and error analysis. Comput. Math. Appl. 156: 16-27 (2024) - [i9]Arieh Iserles, Karolina Kropielnicka:
An elementary approach to splittings of unbounded operators. CoRR abs/2401.06635 (2024) - [i8]Arieh Iserles, Karolina Kropielnicka:
Splitting methods for unbounded operators. CoRR abs/2403.15147 (2024) - [i7]Guannan Chen, Arieh Iserles, Karolina Kropielnicka, Pranav Singh:
Computation of some dispersive equations through their iterated linearisation. CoRR abs/2405.04958 (2024) - 2023
- [i6]Juan Carlos del Valle, Karolina Kropielnicka:
Family of Strang-type exponential splittings in the presence of unbounded and time dependent operators. CoRR abs/2310.01556 (2023) - [i5]Karolina Kropielnicka, Rafal Perczynski:
Asymptotic expansions for the linear PDEs with oscillatory input terms; Analytical form and error analysis. CoRR abs/2311.11854 (2023) - 2022
- [i4]Karolina Kropielnicka, Karolina Lademann:
Third order, uniform in low to high oscillatory coefficients, exponential integrators for Klein-Gordon equations. CoRR abs/2212.13762 (2022) - 2021
- [j9]Marissa Condon
, Karolina Kropielnicka
, Karolina Lademann
, Rafal Perczynski:
Asymptotic numerical solver for the linear Klein-Gordon equation with space- and time-dependent mass. Appl. Math. Lett. 115: 106935 (2021) - [i3]Arieh Iserles, Karolina Kropielnicka, Katharina Schratz, Marcus Webb:
Solving the linear semiclassical Schrödinger equation on the real line. CoRR abs/2102.00413 (2021) - [i2]Winfried Auzinger, Juliette Dubois, Karsten Held, Harald Hofstätter, Tobias Jawecki, Anna Kauch, Othmar Koch, Karolina Kropielnicka, Pranav Singh
, Clemens Watzenböck:
Efficient Magnus-type integrators for solar energy conversion in Hubbard models. CoRR abs/2104.02034 (2021) - [i1]Karolina Kropielnicka, Karolina Lademann, Katharina Schratz:
Effective high order integrators for linear Klein-Gordon equations in low to highly oscillatory regimes. CoRR abs/2112.08908 (2021)
2010 – 2019
- 2019
- [j8]Winfried Auzinger
, Harald Hofstätter, Othmar Koch
, Karolina Kropielnicka, Pranav Singh
:
Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime. Appl. Math. Comput. 362 (2019) - [j7]Arieh Iserles, Karolina Kropielnicka, Pranav Singh
:
Compact schemes for laser-matter interaction in Schrödinger equation based on effective splittings of Magnus expansion. Comput. Phys. Commun. 234: 195-201 (2019) - [j6]Arieh Iserles, Karolina Kropielnicka
, Pranav Singh
:
Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials. J. Comput. Phys. 376: 564-584 (2019) - [j5]José Antonio Carrillo
, Piotr Gwiazda
, Karolina Kropielnicka
, Anna K. Marciniak-Czochra:
The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures. SIAM J. Numer. Anal. 57(4): 1842-1874 (2019) - 2018
- [j4]Arieh Iserles, Karolina Kropielnicka, Pranav Singh
:
Magnus-Lanczos Methods with Simplified Commutators for the Schrödinger Equation with a Time-Dependent Potential. SIAM J. Numer. Anal. 56(3): 1547-1569 (2018) - 2016
- [j3]Piotr Gwiazda
, Karolina Kropielnicka, Anna K. Marciniak-Czochra:
The Escalator Boxcar Train method for a system of age-structured equations. Networks Heterog. Media 11(1): 123-143 (2016) - 2014
- [j2]Philipp Bader, Arieh Iserles, Karolina Kropielnicka, Pranav Singh
:
Effective Approximation for the Semiclassical Schrödinger Equation. Found. Comput. Math. 14(4): 689-720 (2014) - 2011
- [j1]Karolina Kropielnicka, L. Sapa:
Estimate of solutions for differential and difference functional equations with applications to difference methods. Appl. Math. Comput. 217(13): 6206-6218 (2011)
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