Karolina Kropielnicka

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 17

Top Topics

Hamilton Jacobi

Top Venues

SIAM J. Numer. Anal.

Appl. Math. Lett.

J. Comput. Phys.

Publications

Arieh Iserles, Karolina Kropielnicka
An elementary approach to splittings of unbounded operators. CoRR (2024)
Arieh Iserles, Karolina Kropielnicka
Splitting methods for unbounded operators. CoRR (2024)
Guannan Chen, Arieh Iserles, Karolina Kropielnicka, Pranav Singh
Computation of some dispersive equations through their iterated linearisation. CoRR (2024)
Karolina Kropielnicka, Rafal Perczynski
Asymptotic expansions for the linear PDEs with oscillatory input terms; Analytical form and error analysis. Comput. Math. Appl. 156 (2024)
Karolina Kropielnicka, Rafal Perczynski
Asymptotic expansions for the linear PDEs with oscillatory input terms; Analytical form and error analysis. CoRR (2023)
Juan Carlos del Valle, Karolina Kropielnicka
Family of Strang-type exponential splittings in the presence of unbounded and time dependent operators. CoRR (2023)
Karolina Kropielnicka, Karolina Lademann
Third order, uniform in low to high oscillatory coefficients, exponential integrators for Klein-Gordon equations. CoRR (2022)
Karolina Kropielnicka, Karolina Lademann, Katharina Schratz
Effective high order integrators for linear Klein-Gordon equations in low to highly oscillatory regimes. CoRR (2021)
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 (2021)
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 (2021)
Arieh Iserles, Karolina Kropielnicka, Katharina Schratz, Marcus Webb
Solving the linear semiclassical Schrödinger equation on the real line. CoRR (2021)
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) (2019)
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 (2019)
Arieh Iserles, Karolina Kropielnicka, Pranav Singh
Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials. J. Comput. Phys. 376 (2019)
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)
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) (2018)
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) (2016)
Philipp Bader, Arieh Iserles, Karolina Kropielnicka, Pranav Singh
Effective Approximation for the Semiclassical Schrödinger Equation. Found. Comput. Math. 14 (4) (2014)
Karolina Kropielnicka, L. Sapa
Estimate of solutions for differential and difference functional equations with applications to difference methods. Appl. Math. Comput. 217 (13) (2011)