Convergence of the piecewise linear approximation and collocation method for a hypersingular integral equation on a closed surface

Differential Equations ◽

10.1134/s0012266117090129 ◽

2017 ◽

Vol 53 (9) ◽

pp. 1231-1246 ◽

Author(s):

A. V. Setukha ◽

A. V. Semenova

Keyword(s):

Integral Equation ◽

Collocation Method ◽

Linear Approximation ◽

Piecewise Linear ◽

Closed Surface ◽

Piecewise Linear Approximation ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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Numerical Solution of a Surface Hypersingular Integral Equation by Piecewise Linear Approximation and Collocation Methods

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542519060125 ◽

2019 ◽

Vol 59 (6) ◽

pp. 942-957 ◽

Author(s):

A. V. Setukha ◽

A. V. Semenova

Keyword(s):

Integral Equation ◽

Numerical Solution ◽

Linear Approximation ◽

Piecewise Linear ◽

Collocation Methods ◽

Piecewise Linear Approximation ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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Solution of non linear Fredholm integral equation involving constant delay by BEM with piecewise linear approximation

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2020.1731965 ◽

2020 ◽

Vol 23 (2) ◽

pp. 537-544

Author(s):

Nimai Sarkar ◽

Mausumi Sen ◽

Dipankar Saha

Keyword(s):

Integral Equation ◽

Linear Approximation ◽

Fredholm Integral Equation ◽

Piecewise Linear ◽

Piecewise Linear Approximation ◽

Constant Delay ◽

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Convergence of a numerical method for solving a hypersingular integral equation on a segment with the use of piecewise linear approximations on a nonuniform grid

Differential Equations ◽

10.1134/s0012266117020094 ◽

2017 ◽

Vol 53 (2) ◽

pp. 234-247 ◽

Author(s):

A. V. Setukha

Keyword(s):

Integral Equation ◽

Numerical Method ◽

Piecewise Linear ◽

Hypersingular Integral Equation ◽

Nonuniform Grid ◽

Hypersingular Integral ◽

Linear Approximations ◽

Piecewise Linear Approximations

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On the convergence of a numerical method for a hypersingular integral equation on a closed surface

Differential Equations ◽

10.1134/s0012266110090119 ◽

2010 ◽

Vol 46 (9) ◽

pp. 1353-1363 ◽

Author(s):

G. V. Ryzhakov ◽

A. V. Setukha

Keyword(s):

Integral Equation ◽

Numerical Method ◽

Closed Surface ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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A Discrete Collocation Method for a Hypersingular Integral Equation on Curves with Corners

Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan ◽

10.1007/978-3-319-72456-0_25 ◽

2018 ◽

pp. 545-566 ◽

Author(s):

Thomas Hartmann ◽

Ernst P. Stephan

Keyword(s):

Integral Equation ◽

Collocation Method ◽

Hypersingular Integral Equation ◽

Hypersingular Integral

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Trajectory Optimization using Piecewise Linear Approximation Dynamic Programming

AEROSPACE TECHNOLOGY JAPAN THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES ◽

10.2322/astj.14.33 ◽

2015 ◽

Vol 14 (0) ◽

pp. 33-41

Author(s):

Haruki MATSUDA ◽

Akinori HARADA ◽

Yoshikazu MIYAZAWA

Keyword(s):

Dynamic Programming ◽

Linear Approximation ◽

Trajectory Optimization ◽

Piecewise Linear ◽

Piecewise Linear Approximation

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A Three-Dimensional Finite Difference Time Domain - Perfectly Matched Layer Algorithm Based on Piecewise-Linear Approximation for Linear Dispersive Media

10.21236/ada379806 ◽

2000 ◽

Author(s):

S. J. Yakura ◽

David Dietz

Keyword(s):

Finite Difference ◽

Linear Approximation ◽

Time Domain ◽

Finite Difference Time Domain ◽

Piecewise Linear ◽

Three Dimensional ◽

Perfectly Matched Layer ◽

Piecewise Linear Approximation ◽

Dispersive Media ◽

Difference Time

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Applying Piecewise Linear Approximation for DNN Non-Linear Activation Functions to Bfloat16 MACs

2021 International Conference on Electronics, Information, and Communication (ICEIC) ◽

10.1109/iceic51217.2021.9369759 ◽

2021 ◽

Author(s):

Seok Young Kim ◽

Chang Hyun Kim ◽

Seon Wook Kim

Keyword(s):

Linear Approximation ◽

Piecewise Linear ◽

Piecewise Linear Approximation ◽

Activation Functions ◽

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Piecewise-Linear Approximation of Additive Synthesis Envelopes: A Comparison of Various Methods

Computer Music Journal ◽

10.2307/3681333 ◽

1996 ◽

Vol 20 (2) ◽

pp. 72 ◽

Author(s):

Andrew Horner ◽

James Beauchamp

Keyword(s):

Linear Approximation ◽

Piecewise Linear ◽

Piecewise Linear Approximation ◽

Additive Synthesis

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Compression of 2-D solar spectral images by adaptive piecewise linear approximation

Proceedings., 11th IAPR International Conference on Pattern Recognition. Vol. IV. Conference D: Architectures for Vision and Pattern Recognition, ◽

10.1109/icpr.1992.201929 ◽

2003 ◽

Author(s):

M. Vokac ◽

F. Albregtsen

Keyword(s):

Linear Approximation ◽

Piecewise Linear ◽

Piecewise Linear Approximation

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