Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Computational mathematics in quantum mechanics

2019/34/E/ST1/00390

Keywords:

computational mathematics numerical methodologies quantum mechanics numerical geometric integration splitting methods highly effective schemes quantum control Kohn-Sham density functional theory

Descriptors:

  • ST1_016:
  • ST1_011:
  • ST1_012:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Gdański, Wydział Matematyki, Fizyki i Informatyki

woj. pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Karolina Kropielnicka 

Number of co-investigators in the project: 6

Call: SONATA BIS 9 - announced on 2019-06-17

Amount awarded: 1 575 000 PLN

Project start date (Y-m-d): 2020-04-17

Project end date (Y-m-d): 2026-04-16

Project duration:: 72 months (the same as in the proposal)

Project status: Pending project

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (33)
  1. Correlations and signaling in the Schrooedinger-Newton model
    Authors:
    J. Gruca, A. Kumar, R. Ganardi, K. Kropielnicka, P. Arumugam, T. Paterek
    Academic press:
    Classical and Quantum Gravity (rok: 2024, tom: 41, strony: 22 strony), Wydawca: IOP Publishing Ltd
    Status:
    Published
    DOI:
    10.1088/1361-6382/ad8f8a - link to the publication
  2. Asymptotic expansions for the linear PDEs with oscillatory input terms; Analytical form and error analysis
    Authors:
    K. Kropielnicka, R. Perczyński
    Academic press:
    Computers and Mathematics with Applications (rok: 2024, tom: 156, strony: 16-27), Wydawca: ELSEVIER
    Status:
    Published
    DOI:
    10.1016/j.camwa.2023.12.012 - link to the publication
  3. Sobolev-orthogonal systems with tridiagonal skew-Hermitian differentiation matrices
    Authors:
    Arieh Iserles, Marcus Webb
    Academic press:
    Studies in Applied Mathematics (rok: 2022, tom: 150, strony: 420-447), Wydawca: Wiley Periodicals, LLC.
    Status:
    Published
    DOI:
    10.1111/sapm.12544 - link to the publication
  4. Third-order exponential integrator for linear Klein–Gordon equations with time and space-dependent mass
    Authors:
    K. Kropielnicka, K. Lademann
    Academic press:
    ESAIM: Mathematical Modelling and Numerical Analysis (rok: 2023, tom: 57, strony: 3483–3498), Wydawca: ESAIM
    Status:
    Published
    DOI:
    10.1051/m2an/2023087 - link to the publication
  5. Asymptotic numerical solver for the linear Klein-Gordon equation with space- and time-dependent mass
    Authors:
    M. Condon, K. Kropielnicka, K. Lademann, R. Perczyński
    Academic press:
    Appl. Math. Lett. (rok: 2021, tom: 115, strony: ), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aml.2020.106935 - link to the publication
  6. Third-order exponential integrator for linear Klein-Gordon equations with time and space-dependant mass
    Authors:
    K. Kropielnicka, K. Lademann
    Academic press:
    ESAIM: Mathematical Modelling and Numerical Analysis (tom: nie dotyczy, strony: nie dotyczy), Wydawca: EDP Sciences
    Status:
    Submitted
  7. Second Order Exponential Splittings in the Presence of Unbounded and Time-Dependent Operators Construction and Convergence
    Authors:
    K. Kropielnicka, J.C del Valle
    Academic press:
    SIAM Journal on Numerical Analysis (rok: 2024, tom: 63, strony: 288-305), Wydawca: SIAM
    Status:
    Published
    DOI:
    10.1137/23M1607660 - link to the publication
  8. Asymptotic numerical solver for the linear Klein-Gordon equation with space- and time-dependent mass
    Authors:
    M. Condon, K. Kropielnicka, K. Lademann, R. Perczyński
    Academic press:
    Appl. Math. Lett. (rok: 2021, tom: 115, strony: ), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aml.2020.106935 - link to the publication
  9. Effective high order integrators for linear Klein-Gordon equations in low to highly oscillatory regimes
    Authors:
    Karolina Kropielnicka Karolina, Lademann Katharina, Schratz
    Academic press:
    Numerishe Mathematik , Wydawca: Springer
    Status:
    Submitted
  10. Two- and three-particle complexes with logarithmic interaction: Compact wave functions for two-dimensional excitons and trios
    Authors:
    J.C. del Valle, J.A. Segura Landa, and D.J. Nader
    Academic press:
    Physical Review B (rok: 2023, tom: 108, strony: 155421), Wydawca: Purpose-led publishing
    Status:
    Published
    DOI:
    10.1103/PhysRevB.108.155421 - link to the publication
  11. Effective high order integrators for low to highly oscillatory Klein-Gordon equations
    Authors:
    K. Kropielnicka, K. Lademann, K. Schratz
    Academic press:
    Journal of Numerical Mathematics (rok: 2024, tom: nie dotyczy, strony: nie dotyczy), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/jnma-2023-0070 - link to the publication
  12. Solving the one-dimensional time-independent Schrödinger equation with high accuracy: The LagrangeMesh Mathematica package
    Authors:
    J.C. del Valle
    Academic press:
    International Journal of Modern Physics C (rok: 2023, tom: 35, strony: Article number: 2450011), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0129183124500116 - link to the publication
  13. Third-order exponential integrator for linear Klein-Gordon equations with time and space-dependant mass
    Authors:
    K. Kropielnicka, K. Lademann
    Academic press:
    ESAIM: Mathematical Modelling and Numerical Analysis (tom: nie dotyczy, strony: nie dotyczy), Wydawca: EDP Sciences
    Status:
    Submitted
  14. Asymptotic expansions for the linear PDEs with oscillatory input terms; Analytical form and error analysis
    Authors:
    K. Kropielnicka, R. Perczyński
    Academic press:
    Computers and Mathematics with Applications (rok: 2024, tom: 156, strony: 16-27), Wydawca: ELSEVIER
    Status:
    Published
    DOI:
    10.1016/j.camwa.2023.12.012 - link to the publication
  15. A new approach for simulating inhomogeneous chemical kinetics
    Authors:
    G. Bradshaw, M. O'Leary, A. S. F. Purser, B. Billagomex-Bernabe, C. Wyett, F. Currell, M. Webb
    Academic press:
    Scientific Reports (rok: 2023, tom: 13, strony: Article number: 14010), Wydawca: Nature
    Status:
    Published
    DOI:
    10.1038/s41598-023-39741-y - link to the publication
  16. Sobolev-orthogonal systems with tridiagonal skew-Hermitian differentiation matrices
    Authors:
    Arieh Iserles, Marcus Webb
    Academic press:
    Studies in Applied Mathematics (rok: 2022, tom: 150, strony: 420-447), Wydawca: Wiley Periodicals, LLC.
    Status:
    Published
    DOI:
    10.1111/sapm.12544 - link to the publication
  17. Third-order exponential integrator for linear Klein–Gordon equations with time and space-dependent mass
    Authors:
    K. Kropielnicka, K. Lademann
    Academic press:
    ESAIM: Mathematical Modelling and Numerical Analysis (rok: 2023, tom: 57, strony: 3483–3498), Wydawca: ESAIM
    Status:
    Published
    DOI:
    10.1051/m2an/2023087 - link to the publication
  18. Asymptotic numerical solver for the linear Klein-Gordon equation with space- and time-dependent mass
    Authors:
    M. Condon, K. Kropielnicka, K. Lademann, R. Perczyński
    Academic press:
    Appl. Math. Lett. (rok: 2021, tom: 115, strony: ), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aml.2020.106935 - link to the publication
  19. Third-order exponential integrator for linear Klein-Gordon equations with time and space-dependant mass
    Authors:
    K. Kropielnicka, K. Lademann
    Academic press:
    ESAIM: Mathematical Modelling and Numerical Analysis (tom: nie dotyczy, strony: nie dotyczy), Wydawca: EDP Sciences
    Status:
    Submitted
  20. Effective high order integrators for linear Klein-Gordon equations in low to highly oscillatory regimes
    Authors:
    Karolina Kropielnicka Karolina, Lademann Katharina, Schratz
    Academic press:
    Numerishe Mathematik , Wydawca: Springer
    Status:
    Submitted
  21. Approximation of Wave Packets on the Real Line
    Authors:
    Arieh Iserles, Karen Luong, Marcus Webb, Constructive Approximation
    Academic press:
    Constructive Approximation (rok: 2022, tom: no data, strony: no data), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00365-022-09605-1 - link to the publication
  22. Asymptotic numerical solver for the linear Klein-Gordon equation with space- and time-dependent mass
    Authors:
    M. Condon, K. Kropielnicka, K. Lademann, R. Perczyński
    Academic press:
    Appl. Math. Lett. (rok: 2021, tom: 115, strony: ), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aml.2020.106935 - link to the publication
  23. Two- and three-particle complexes with logarithmic interaction: Compact wave functions for two-dimensional excitons and trios
    Authors:
    J.C. del Valle, J.A. Segura Landa, and D.J. Nader
    Academic press:
    Physical Review B (rok: 2023, tom: 108, strony: 155421), Wydawca: Purpose-led publishing
    Status:
    Published
    DOI:
    10.1103/PhysRevB.108.155421 - link to the publication
  24. An elementary approach to splittings of unbounded operators
    Authors:
    A. Iserles, K. Kropielnicka
    Academic press:
    Computers and Mathematics with Applications (rok: 2024, tom: 176, strony: 29-34), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.camwa.2024.08.031 - link to the publication
  25. Radial power-like potentials: From the Bohr–Sommerfeld S-state energies to exact ones
    Authors:
    J.C. del Valle and A.V. Turbiner
    Academic press:
    International Journal of Modern Physics A (rok: 2023, tom: 38, strony: Article number: 2350092), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217751X23500926 - link to the publication
  26. Approximation of Wave Packets on the Real Line
    Authors:
    Arieh Iserles, Karen Luong, Marcus Webb, Constructive Approximation
    Academic press:
    Constructive Approximation (rok: 2022, tom: no data, strony: no data), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00365-022-09605-1 - link to the publication
  27. Solving the one-dimensional time-independent Schrödinger equation with high accuracy: The LagrangeMesh Mathematica package
    Authors:
    J.C. del Valle
    Academic press:
    International Journal of Modern Physics C (rok: 2023, tom: 35, strony: Article number: 2450011), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0129183124500116 - link to the publication
  28. A new approach for simulating inhomogeneous chemical kinetics
    Authors:
    G. Bradshaw, M. O'Leary, A. S. F. Purser, B. Billagomex-Bernabe, C. Wyett, F. Currell, M. Webb
    Academic press:
    Scientific Reports (rok: 2023, tom: 13, strony: Article number: 14010), Wydawca: Nature
    Status:
    Published
    DOI:
    10.1038/s41598-023-39741-y - link to the publication
  29. Radial power-like potentials: From the Bohr–Sommerfeld S-state energies to exact ones
    Authors:
    J.C. del Valle and A.V. Turbiner
    Academic press:
    International Journal of Modern Physics A (rok: 2023, tom: 38, strony: Article number: 2350092), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0217751X23500926 - link to the publication
  30. Approximation of Wave Packets on the Real Line
    Authors:
    Arieh Iserles, Karen Luong, Marcus Webb, Constructive Approximation
    Academic press:
    Constructive Approximation (rok: 2022, tom: no data, strony: no data), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00365-022-09605-1 - link to the publication
  31. Effective high order integrators for linear Klein-Gordon equations in low to highly oscillatory regimes
    Authors:
    Karolina Kropielnicka Karolina, Lademann Katharina, Schratz
    Academic press:
    Numerishe Mathematik , Wydawca: Springer
    Status:
    Submitted
  32. Sobolev-orthogonal systems with tridiagonal skew-Hermitian differentiation matrices
    Authors:
    Arieh Iserles, Marcus Webb
    Academic press:
    Studies in Applied Mathematics (rok: 2022, tom: 150, strony: 420-447), Wydawca: Wiley Periodicals, LLC.
    Status:
    Published
    DOI:
    10.1111/sapm.12544 - link to the publication
  33. Effective high order integrators for linear Klein-Gordon equations in low to highly oscillatory regimes
    Authors:
    Karolina Kropielnicka Karolina, Lademann Katharina, Schratz
    Academic press:
    Numerishe Mathematik , Wydawca: Springer
    Status:
    Submitted

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