Stefan Filipov előadása a Farkas Miklós Szemináriumon

 

 

  

    We kindly invite you to the Miklós Farkas Seminar.

             18 October (Thursday) 10.15, BME H306

 

 

 

 

Stefan Filipov

Successive application of the linear shooting method for numerical solution of nonlinear two-point boundary value problems

The work to be presented concerns numerical solution of nonlinear two-point boundary value problems. We show that the quasi-linearization method (Newton method on operator level) can be used as a basis to derive (i) the FDM with Newton method and (ii) the shooting by Newton method. The same relation holds for the Picard and the constant-slope methods. Based on these results, we propose (i) a replacement of the FDMs for nonlinear problems (the relaxation methods) by respective successive application of the linear shooting method and (ii) a shooting by Picard method (shooting-projection method). We discuss the advantages of the proposed approaches and present examples.

 
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The organizers

(István Faragó, János Karátson, Róbert Horváth, Miklós Mincsovics)

Visit the homepage of the seminar: http://math.bme.hu/AlkAnalSzemi