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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Discretizations of dynamical systems preserving first integrals

2011/01/B/ST1/05137

Keywords:

geometric numerical integration discretization of differential equations discrete gradient method first integrals integrable systems solitons time scales

Descriptors:

  • ST1_16: Numerical analysis
  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_12: Mathematical methods of physics

Panel:

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

Host institution :

Uniwersytet w Białymstoku, Wydział Fizyki

woj. podlaskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Jan Cieśliński 

Number of co-investigators in the project: 1

Call: OPUS 1 - announced on 2011-03-15

Amount awarded: 55 900 PLN

Project start date (Y-m-d): 2011-12-01

Project end date (Y-m-d): 2014-01-31

Project duration:: 26 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Nie planowano zakupu aparatury..

Information in the final report

  • Publication in academic press/journals (7)
  1. A comparison of standard one-step DDA circular interpolators with a new cheap two-step algorithm
    Authors:
    Leonid Moroz, Jan L. Cieśliński, Marta Stakhiv, Volodymyr Maksymovych
    Academic press:
    Modelling and Simulation in Engineering (rok: 2014, tom: 2014, strony: 916539 (6 stron)), Wydawca: Hindawi
    Status:
    Published
    DOI:
    10.1155/2014/916539 - link to the publication
  2. Discrete approximations on functional classes for the integrable nonlinear Schrödinger dynamical system: a symplectic finite-dimensional reduction approach
    Authors:
    Jan L. Cieśliński, Anatolij K. Prykarpatski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 430, strony: 279-295), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.04.084 - link to the publication
  3. Locally exact modifications of discrete gradient schemes
    Authors:
    Jan L. Cieśliński
    Academic press:
    Physics Letters A (rok: 2013, tom: 377, strony: 592-597), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physleta.2013.01.005 - link to the publication
  4. Fast exact digital differential analyzer for circle generation
    Authors:
    Jan L. Cieśliński, Leonid V. Moroz, Cezary J. Walczyk
    Academic press:
    Applied Mathematics and Computation , Wydawca: Elsevier
    Status:
    Accepted for publication
    DOI:
    10.1016/j.amc.2015.08.104 - link to the publication
  5. Improving the accuracy of the AVF method
    Authors:
    Jan L. Cieśliński
    Academic press:
    Journal of Computational and Applied Mathematics (rok: 2014, tom: 259, Part A, strony: 233-243), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cam.2013.08.008 - link to the publication
  6. Locally exact modifications of numerical schemes
    Authors:
    Jan L. Cieśliński
    Academic press:
    Computers and Mathematics with Applications (rok: 2013, tom: 65, strony: 1920–1938), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.camwa.2013.04.015 - link to the publication
  7. The sine-Gordon equation on time scales
    Authors:
    Jan L. Cieśliński, Tomasz Nikiciuk, Kamil Waśkiewicz
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2015, tom: 423, strony: 1219-1230), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.044 - link to the publication

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