scholarly journals Nonlinear Krylov acceleration applied to a discrete ordinates formulation of the k-eigenvalue problem

2013 ◽  
Vol 238 ◽  
pp. 188-209 ◽  
Author(s):  
Matthew T. Calef ◽  
Erin D. Fichtl ◽  
James S. Warsa ◽  
Markus Berndt ◽  
Neil N. Carlson
Keyword(s):  
Eigenvalue Problem ◽  
Discrete Ordinates ◽  
Krylov Acceleration

Eigenvalue Problem for the Second Order Differential Equation with Nonlocal

2006 ◽  
Vol 11 (1) ◽  
pp. 13-32 ◽  
Author(s):  
B. Bandyrskii ◽  
I. Lazurchak ◽  
V. Makarov ◽  
M. Sapagovas
Keyword(s):  
Differential Equation ◽  
Eigenvalue Problem ◽  
Variable Coefficient ◽  
Order Differential Equation ◽  
Integral Condition ◽  
Second Order ◽  
Computational Results ◽  
Discrete Method ◽  
Complex Eigenvalues ◽  
Nonlocal Integral Condition

The paper deals with numerical methods for eigenvalue problem for the second order ordinary differential operator with variable coefficient subject to nonlocal integral condition. FD-method (functional-discrete method) is derived and analyzed for calculating of eigenvalues, particulary complex eigenvalues. The convergence of FD-method is proved. Finally numerical procedures are suggested and computational results are schown.

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