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Vilnius Gediminas Technical University
Mathematical Modelling and Analysis
,  том 23 ,  издание 4 ,  страницы 639-664

FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND

Тип публикации: Journal Article
Дата публикации: 2018-10-09
Vilnius Gediminas Technical University
scimago Q2
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SJR: 0.603
CiteScore: 2.8
Impact factor: 1.4
ISSN: 13926292, 16483510
Analysis
Modeling and Simulation
Краткое описание

We discuss the bounds of fast solving weakly singular Fredholm integral equations of the second kind with a possible diagonal singularity of the kernel and certain boundary singularities of the derivatives of the free term when the information about the smooth coefficient functions in the kernel and about the free term is restricted to a given number of sample values. In this situation, a fast/quasifast solver is constructed. Thus the complexity of weakly singular integral equations occurs to be close to that of equations with smooth data without singularities. Our construction of fast/quasifast solvers is based on the periodization of the problem.

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Rehman S., Pedas A., Vainikko G. FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND // Mathematical Modelling and Analysis. 2018. Vol. 23. No. 4. pp. 639-664.
ГОСТ со всеми авторами (до 50) Скопировать
Rehman S., Pedas A., Vainikko G. FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND // Mathematical Modelling and Analysis. 2018. Vol. 23. No. 4. pp. 639-664.
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TY - JOUR
DO - 10.3846/mma.2018.039
UR - https://doi.org/10.3846/mma.2018.039
TI - FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND
T2 - Mathematical Modelling and Analysis
AU - Rehman, Sumaira
AU - Pedas, Arvet
AU - Vainikko, Gennadi
PY - 2018
DA - 2018/10/09
PB - Vilnius Gediminas Technical University
SP - 639-664
IS - 4
VL - 23
SN - 1392-6292
SN - 1648-3510
ER -
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@article{2018_Rehman,
author = {Sumaira Rehman and Arvet Pedas and Gennadi Vainikko},
title = {FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND},
journal = {Mathematical Modelling and Analysis},
year = {2018},
volume = {23},
publisher = {Vilnius Gediminas Technical University},
month = {oct},
url = {https://doi.org/10.3846/mma.2018.039},
number = {4},
pages = {639--664},
doi = {10.3846/mma.2018.039}
}
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Rehman, Sumaira, et al. “FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND.” Mathematical Modelling and Analysis, vol. 23, no. 4, Oct. 2018, pp. 639-664. https://doi.org/10.3846/mma.2018.039.