Improved Double-Arctan Transformation for the Stable Evaluation of Nearly Hypersingular Integrals in SIE

IEEE Transactions on Antennas and Propagation ◽

10.1109/tap.2020.2985504 ◽

2020 ◽

Vol 68 (9) ◽

pp. 6850-6855

Author(s):

Yi Ren ◽

Yongpin Chen ◽

Yanhui Liu ◽

Min Meng

Keyword(s):

Hypersingular Integrals

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Quadrature interpolation type formulas for hypersingular integrals in the interval of integration

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20160406 ◽

2016 ◽

Keyword(s):

Hypersingular Integrals

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A Novel Evaluation Scheme for Hypersingular Integrals over Triangular Patches

2019 International Applied Computational Electromagnetics Society Symposium - China (ACES) ◽

10.23919/aces48530.2019.9060701 ◽

2019 ◽

Author(s):

Jianfeng Li ◽

Xiaojun Jing ◽

Meisong Tong

Keyword(s):

Hypersingular Integrals ◽

Evaluation Scheme

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Boundary element analysis of Kirchhoff plates with direct evaluation of hypersingular integrals

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19991220)46:11<1845::aid-nme747>3.0.co;2-i ◽

1999 ◽

Vol 46 (11) ◽

pp. 1845-1863 ◽

Author(s):

A. Frangi ◽

M. Guiggiani

Keyword(s):

Boundary Element ◽

Element Analysis ◽

Direct Evaluation ◽

Hypersingular Integrals ◽

Kirchhoff Plates ◽

Boundary Element Analysis

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Method of Boundary Integral Equations with Hypersingular Integrals in Boundary-Value Problems

Journal of Mathematical Sciences ◽

10.1007/s10958-021-05475-3 ◽

2021 ◽

Author(s):

A. V. Setukha

Keyword(s):

Boundary Value Problems ◽

Integral Equations ◽

Boundary Integral Equations ◽

Boundary Value ◽

Boundary Integral ◽

Hypersingular Integrals

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Simple and Efficient Numerical Evaluation of Near-Hypersingular Integrals

IEEE Antennas and Wireless Propagation Letters ◽

10.1109/lawp.2008.2000788 ◽

2008 ◽

Vol 7 ◽

pp. 469-472 ◽

Author(s):

P.W. Fink ◽

D.R. Wilton ◽

M.A. Khayat

Keyword(s):

Numerical Evaluation ◽

Hypersingular Integrals

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PARABOLIC PSEUDODIFFERENTIAL EQUATIONS, HYPERSINGULAR INTEGRALS, AND MARKOV PROCESSES

Mathematics of the USSR-Izvestiya ◽

10.1070/im1989v033n02abeh000825 ◽

1989 ◽

Vol 33 (2) ◽

pp. 233-259 ◽

Author(s):

A N Kochubeĭ

Keyword(s):

Markov Processes ◽

Hypersingular Integrals ◽

Pseudodifferential Equations

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The numerical computation of hypersingular integrals and its application in BEM

Advances in Engineering Software ◽

10.1016/0965-9978(94)90004-3 ◽

1993 ◽

Vol 18 (2) ◽

pp. 103-109 ◽

Author(s):

De-Hao Yu

Keyword(s):

Numerical Computation ◽

Hypersingular Integrals

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HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE?

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19960229)39:4<687::aid-nme876>3.0.co;2-s ◽

1996 ◽

Vol 39 (4) ◽

pp. 687-704 ◽

Author(s):

P. A. MARTIN ◽

F. J. RIZZO

Keyword(s):

Hypersingular Integrals

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Quadrature Formulas for Singular and Hypersingular Integrals

Hypersingular Integral Equations and Their Applications ◽

10.1201/9780203402160.ch9 ◽

2003 ◽

Keyword(s):

Quadrature Formulas ◽

Hypersingular Integrals

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Hypersingular Integrals in Integral Equations and Inequalities: Fundamental Review Study

Differential and Integral Inequalities - Springer Optimization and Its Applications ◽

10.1007/978-3-030-27407-8_25 ◽

2019 ◽

pp. 687-717 ◽

Author(s):

Suzan J. Obaiys ◽

Rabha W. Ibrahim ◽

Ahmad F. Ahmad

Keyword(s):

Integral Equations ◽

Hypersingular Integrals ◽

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