Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Rigorous numerics and computer assisted proofs for dissipative partial differential equations.

2011/01/N/ST6/00995

Keywords:

Navier-Stokes equations computer assisted proof dissipative PDE rigorous numerics

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_10: Ordinary differential equations and dynamical systems
  • ST6_9: Human computer interaction, speech recognition and synthesis, natural language processing

Panel:

ST6 - Computer science and informatics: informatics and information systems, computer science, scientific computing, intelligent systems

Host institution :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

Jacek Cyranka 

Number of co-investigators in the project: 2

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

Amount awarded: 74 500 PLN

Project start date (Y-m-d): 2011-12-14

Project end date (Y-m-d): 2013-12-13

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Notebook Dell XPS L502X poz.132/12/x19 (3 000 PLN)

Information in the final report

  • Publication in academic press/journals (3)
  1. Efficient and Generic Algorithm for Rigorous Integration Forward in Time of dPDEs: Part I
    Authors:
    J Cyranka
    Academic press:
    Journal of Scientific Computing (rok: 2014, tom: 59, strony: 28-52), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10915-013-9749-1 - link to the publication
  2. Existence of globally attracting fixed points of viscous Burgers equation with constant forcing. A computer assisted proof
    Authors:
    J Cyranka
    Academic press:
    Topological Methods in Nonlinear Analysis (rok: 2014, tom: nie dotyczy, strony: nie dotyczy), Wydawca: JULIUSZ SCHAUDER CTR NONLINEAR STUDIES
    Status:
    Accepted for publication
  3. Existence of globally attracting solutions for one-dimensional viscous Burgers equation with nonautonomous forcing - a computer assisted proof
    Authors:
    Jacek Cyranka, Piotr Zgliczyński
    Academic press:
    FOCM , Wydawca: Springer
    Status:
    Submitted