Gustafson, weidmann, kato, wolf, schechter and browder essential spectra of some matrix operator and application to two-group transport equation

2010 ◽  
Vol 284 (1) ◽  
pp. 67-86 ◽  
Author(s):  
Aref Jeribi ◽  
Ines Walha
Keyword(s):  
Transport Equation ◽  
Matrix Operator ◽  
Essential Spectra ◽  
Group Transport

scholarly journals On relative essential spectra of a 3 x 3 operator matrix involving relative generalized weak demicompactness

Filomat ◽  
2020 ◽  
Vol 34 (13) ◽  
pp. 4271-4286
Author(s):  
Imen Ferjani ◽  
Aref Jeribi ◽  
Bilel Krichen
Keyword(s):  
Block Matrix ◽  
Matrix Operator ◽  
Operator Matrix ◽  
Essential Spectra

In this paper, we investigate the relative essential spectra of a 3 x 3 block matrix operator with unbounded entries and with domain consisting of vectors satisfying certain relations between their components. Our results are formulated in term of relative generalized weak demicompactness and measure of non-strict-singularity.

Application of Hybrid Subgroup Decomposition Method to Gas Cooled Thermal Reactor Problem

2014 ◽  
Author(s):  
Saam Yasseri ◽  
Farzad Rahnema
Keyword(s):  
Transport Equation ◽  
Computational Efficiency ◽  
Decomposition Method ◽  
High Accuracy ◽  
Numerical Results ◽  
New Method ◽  
Thermal Reactor ◽  
Problem Characteristic ◽  
Group Transport ◽  
Subgroup Decomposition

In this paper, a newly developed hybrid subgroup decomposition method is tested in a 1D problem characteristic of gas cooled thermal reactors (GCR). The new method couples an efficient coarse-group eigenvalue calculation with a set of fine-group transport source iterations to unfold the fine-group flux. It is shown that the new method reproduces the fine-group transport solution by iteratively solving the coarse-group quasi transport equation. The numerical results demonstrate that the new method applied to 1D GCR problem is capable of achieving high accuracy while gaining computational efficiency up to 5 times compared to direct fine-group transport calculations.

Two-group transport equation with a separable kernel

1971 ◽  
Vol 1 (3) ◽  
pp. 239-260 ◽  
Author(s):  
P. Silvennoinen ◽  
P. F. Zweifel
Keyword(s):  
Transport Equation ◽  
Separable Kernel ◽  
Group Transport
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