Ing. Pavla Sehnalová, Ph.D.
E-mail:   sehnalova@fme.vutbr.cz 
Dept.:   Institute of Mathematics
Dept. of Mathematical Analysis
Position:   Assistant Professor
Room:   A1/1828

Supervised courses:

Publications:

  • SEHNALOVÁ, P.; BUTCHER, J.:
    Predictor–corrector Obreshkov pairs,
    COMPUTING, Vol.95, (2013), No.5, pp.355-371, ISSN 0010-485X, Springer-Verlag Wien
    journal article - other
  • KUNOVSKÝ, J.; SEHNALOVÁ, P.; VALENTA, V.:
    Convergence of partial differential equations,
    International Conference on Computer Modelling and Simulation, pp.1-8, (2011)
    conference paper
    akce: International Conference on Computer Modelling and Simulation - CSSim 2011, Brno, 05.09.2011-07.09.2011
  • KUNOVSKÝ, J.; SEHNALOVÁ, P.; ŠÁTEK, V.:
    Explicit and Implicit Taylor Series Based Computations,
    8th International Conference of Numerical Analysis and Applied Mathematics, pp.587-590, ISBN 978-0-7354-0831-9, (2010), American Institute of Physics
    conference paper
    akce: 8th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece, 19.09.2010-25.09.2010
  • Kunovský Jiří, Sehnalová Pavla, Šátek Václav:
    Stability and Convergence of the Modern Taylor Series Method
  • KALUŽA, V.; KUNOVSKÝ, J.; SEHNALOVÁ, P.; KOPŘIVA, J.:
    Technical Initial Problems and Automatic Transformation,
    2009 International Conference on Computational Intelligence, Modelling and Simulation, pp.75-80, ISBN 978-0-7695-3795-5, (2009), IEEE Computer Society
    article in a collection out of WoS and Scopus
    akce: International Conference on Computer Modelling and Simulation 2009, Brno, 07.09.2009-09.09.2009
  • SEHNALOVÁ, P.; KUNOVSKÝ, J.; KALUŽA, V.; KOPŘIVA, J.:
    Using differential equations in electrical circuits' simulation,
    International Journal of Autonomic Computing, Vol.1, (2009), No.2, pp.192-201, ISSN 1741-8569
    journal article - other
  • KUNOVSKÝ, J.; ZBOŘIL, F.; DROZDOVÁ, M.; SEHNALOVÁ, P.; PETŘEK, J.:
    Multi-rate Integration and Modern Taylor Series Method,
    Proceedings UKSim 10th International Conference EUROSIM/UKSim2008, pp.386-391, ISBN 0-7695-3114-8, (2008), IEEE Computer Society
    article in a collection out of WoS and Scopus
    akce: 10th International Conference on Computer Modelling and Simulation, Cambridge, 01.04.2008-03.04.2008

List of publications at Portal BUT

Abstracts of most important papers:

  • SEHNALOVÁ, P.; BUTCHER, J.:
    Predictor–corrector Obreshkov pairs,
    COMPUTING, Vol.95, (2013), No.5, pp.355-371, ISSN 0010-485X, Springer-Verlag Wien
    journal article - other
    The combination of predictor–corrector (PEC) pairs of Adams methods can be generalized to high derivative methods using Obreshkov quadrature formulae. It is convenient to construct predictor–corrector pairs using a combination of explicit (Adams–Bashforth for traditional PEC methods) and implicit (Adams–Moulton for traditional PEC methods) forms of the methods. This paper will focus on one special case of a fourth order method consisting of a two-step predictor followed by a one-step corrector, each using second derivative formulae. There is always a choice in predictor–corrector pairs of the so-called mode of the method and we will consider both PEC and PECE modes. The Nordsieck representation of Adams methods, as developed by C. W. Gear and others, adapts well to the multiderivative situation and will be used to make variable stepsize convenient. In the first part of the paper we explain the basic approximations used in the predictor–corrector formula. Those can be written in terms of Obreshkov quadrature. Next section we discuss the equations in terms of Nordsieck vectors. This provides an opportunity to extend the Gear Nordsieck factorization to achieve a variable stepsize formulation. Numerical tests with the new method are also discussed. The paper will present Prothero–Robinson and Kepler problem to illustrate the power of the approach.