Partial Range Completeness of Case Eigenfunctions and Numerical Solution of Singular Integral Equations of Particle Transport Problems
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
TAYLOR & FRANCIS INC
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We study numerical solution of Singular Integral Equations (SIE) of particle transport theory. We convert them into matrix equations by standard discretization process. It is found that the matrices are highly ill-conditioned and can be solved by Singular Value Decomposition (SVD) method. One expects that matrices resulting from expansions over Partial Range will not be ill-conditioned. We find this is not true though their ill-conditioning is an order of magnitude less than those of full or half range. Reasons for this phenomenon are explained.
Açıklama
Tureci, RG/0000-0001-6309-6300
Anahtar Kelimeler
Case eigenfunctions, partial range, singular integral equations, numerical solution
Kaynak
JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
49
Sayı
7
Künye
closedAccess
