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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Inverse problems in some nonlinear boundary value problem

2012/05/N/ST1/02860

Keywords:

inverse problems nonlinear partial differential equations boundary value problems

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_16: Numerical analysis

Panel:

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

Host institution :

Politechnika Wrocławska, Wydział Podstawowych Problemów Techniki

woj. dolnośląskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Łukasz Płociniczak 

Number of co-investigators in the project: 2

Call: PRELUDIUM 3 - announced on 2012-03-15

Amount awarded: 54 050 PLN

Project start date (Y-m-d): 2013-03-07

Project end date (Y-m-d): 2015-03-06

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

Project status: Project settled

Equipment purchased [PL]

  1. Komputer przenośny (laptop) (4 000 PLN)
  2. Tablet (1 099 PLN)

Information in the final report

  • Publication in academic press/journals (6)
  1. A note on fractional Bessel equation and its asymptotics
    Authors:
    Wojciech Okrasiński, Łukasz Płociniczak
    Academic press:
    Fractional Calculus and Applied Analysis (rok: 2013, tom: 16 (3), strony: 559-572), Wydawca: Springer
    Status:
    Published
    DOI:
    10.2478/s13540-013-0036-5 - link to the publication
  2. Bessel function model of corneal topography
    Authors:
    Wojciech Okrasiński, Łukasz Płociniczak
    Academic press:
    Applied Mathematics and Computation (rok: 2013, tom: 223, strony: 436-443), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.amc.2013.07.097 - link to the publication
  3. Regularization of an Ill-posed Problem in Corneal Topography
    Authors:
    Łukasz Płociniczak, Wojciech Okrasiński
    Academic press:
    Inverse Problems in Science and Engineering (rok: 2013, tom: 21 (6), strony: 1090–1097), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/17415977.2012.753443 - link to the publication
  4. ODE/PDE Analysis of Corneal Curvature
    Authors:
    Ł.Płociniczak, W.E.Schiesser, G.W.Griffiths
    Academic press:
    Computers in Biology and Medicine (rok: 2014, tom: 53, strony: 30-41), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.compbiomed.2014.07.003 - link to the publication
  5. On a nonlinear boundary value problem modeling corneal shape
    Authors:
    Ł.Płociniczak, W.Okrasiński, J.J.Nieto, O.Dominguez
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2014, tom: 414 (1), strony: 461-471), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2014.01.010 - link to the publication
  6. Nonliear Parameter Identification in Corneal Geometry Model
    Authors:
    Ł.Płociniczak, W.Okrasiński
    Academic press:
    Inverse Problems in Science and Engineering (rok: 2015, tom: 23 (3), strony: 443-456), Wydawca: Taylor and Francis
    Status:
    Published
    DOI:
    10.1080/17415977.2014.922074 - link to the publication