Acceleration of the convergence of the Laguerre series in the problem of inverting the Laplace transform
    
    
  
  
  
      
      
      
        
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 601-610
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              When the Laplace transform is inverted numerically, the original function is sought in the form of a series in the Laguerre polynomials. To accelerate the convergence of this series, the Euler–Knopp method is used. The techniques for selecting the optimal value of the parameter of the transform on the real axis and in the complex plane are proposed.
            
            
            
          
        
      @article{ZVMMF_2009_49_4_a1,
     author = {M. M. Kabardov and V. M. Ryabov},
     title = {Acceleration of the convergence of the {Laguerre} series in the problem of inverting the {Laplace} transform},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {601--610},
     publisher = {mathdoc},
     volume = {49},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a1/}
}
                      
                      
                    TY - JOUR AU - M. M. Kabardov AU - V. M. Ryabov TI - Acceleration of the convergence of the Laguerre series in the problem of inverting the Laplace transform JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 601 EP - 610 VL - 49 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a1/ LA - ru ID - ZVMMF_2009_49_4_a1 ER -
%0 Journal Article %A M. M. Kabardov %A V. M. Ryabov %T Acceleration of the convergence of the Laguerre series in the problem of inverting the Laplace transform %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2009 %P 601-610 %V 49 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a1/ %G ru %F ZVMMF_2009_49_4_a1
M. M. Kabardov; V. M. Ryabov. Acceleration of the convergence of the Laguerre series in the problem of inverting the Laplace transform. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 4, pp. 601-610. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_4_a1/
