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Mathematical Modelling and Analysis, volume 23, issue 4, pages 639-664

FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND

Publication type: Journal Article
Publication date: 2018-10-09
Q2
Q1
SJR: 0.481
CiteScore: 2.8
Impact factor: 1.6
ISSN: 13926292, 16483510
Analysis
Modeling and Simulation
Abstract

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.
GOST all authors (up to 50) Copy
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.
RIS |
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RIS Copy
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 - Taylor & Francis
SP - 639-664
IS - 4
VL - 23
SN - 1392-6292
SN - 1648-3510
ER -
BibTex |
Cite this
BibTex (up to 50 authors) Copy
@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 = {Taylor & Francis},
month = {oct},
url = {https://doi.org/10.3846/mma.2018.039},
number = {4},
pages = {639--664},
doi = {10.3846/mma.2018.039}
}
MLA
Cite this
MLA Copy
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.
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