Karolina Kropielnicka

According to our database, Karolina Kropielnicka authored at least 18 papers between 2011 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

Computation of some dispersive equations through their iterated linearisation.

Guannan Chen, Arieh Iserles, Karolina Kropielnicka, Pranav Singh

CoRR, 2024

Splitting methods for unbounded operators.

Arieh Iserles, Karolina Kropielnicka

CoRR, 2024

Asymptotic expansions for the linear PDEs with oscillatory input terms; Analytical form and error analysis.

Karolina Kropielnicka, Rafal Perczynski

Comput. Math. Appl., 2024

An elementary approach to splittings of unbounded operators.

Arieh Iserles, Karolina Kropielnicka

Comput. Math. Appl., 2024

2023

Family of Strang-type exponential splittings in the presence of unbounded and time dependent operators.

Juan Carlos del Valle, Karolina Kropielnicka

CoRR, 2023

2022

Third order, uniform in low to high oscillatory coefficients, exponential integrators for Klein-Gordon equations.

Karolina Kropielnicka, Karolina Lademann

CoRR, 2022

2021

Effective high order integrators for linear Klein-Gordon equations in low to highly oscillatory regimes.

Karolina Kropielnicka, Karolina Lademann, Katharina Schratz

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, Clemens Watzenböck

CoRR, 2021

Solving the linear semiclassical Schrödinger equation on the real line.

Arieh Iserles, Karolina Kropielnicka, Katharina Schratz, Marcus Webb

CoRR, 2021

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

2019

The Escalator Boxcar Train Method for a System of Age-Structured Equations in the Space of Measures.

José Antonio Carrillo, Piotr Gwiazda, Karolina Kropielnicka, Anna K. Marciniak-Czochra

SIAM J. Numer. Anal., 2019

Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials.

Arieh Iserles, Karolina Kropielnicka, Pranav Singh

J. Comput. Phys., 2019

Compact schemes for laser-matter interaction in Schrödinger equation based on effective splittings of Magnus expansion.

Arieh Iserles, Karolina Kropielnicka, Pranav Singh

Comput. Phys. Commun., 2019

Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime.

Winfried Auzinger, Harald Hofstätter, Othmar Koch, Karolina Kropielnicka, Pranav Singh

Appl. Math. Comput., 2019

2018

Magnus-Lanczos Methods with Simplified Commutators for the Schrödinger Equation with a Time-Dependent Potential.

Arieh Iserles, Karolina Kropielnicka, Pranav Singh

SIAM J. Numer. Anal., 2018

2016

The Escalator Boxcar Train method for a system of age-structured equations.

Piotr Gwiazda, Karolina Kropielnicka, Anna K. Marciniak-Czochra

Networks Heterog. Media, 2016

2014

Effective Approximation for the Semiclassical Schrödinger Equation.

Philipp Bader, Arieh Iserles, Karolina Kropielnicka, Pranav Singh

Found. Comput. Math., 2014

2011

Estimate of solutions for differential and difference functional equations with applications to difference methods.

Karolina Kropielnicka, L. Sapa

Appl. Math. Comput., 2011