We introduce the concept “strongly equivalent” for integral algebraic equations (IAEs). This definition and its corresponding theorems construct powerful tools for the classifying and analyzing of IAEs (especially numerical analysis). The related theorems with short proofs provide powerful techniques for the complete convergence analysis of discretised collocation methods on discontinuous piecewise polynomial spaces.
| Published in |
Applied and Computational Mathematics (Volume 7, Issue 1-1)
This article belongs to the Special Issue Singular Integral Equations and Fractional Differential Equations |
| DOI | 10.11648/j.acm.s.2018070101.12 |
| Page(s) | 12-17 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Volterra Integral Equation, Volterra Equation, Integral equation, Discontinuous Piecewise Polynomial Spaces, Collocation Methods
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APA Style
Gholamreza Karamali, Babak Shiri, Elham Sefidgar. (2017). A Convergence Analysis of Discontinuous Collocation Method for IAEs of Index 1 Using the Concept “Strongly Equivalent”. Applied and Computational Mathematics, 7(1-1), 12-17. https://doi.org/10.11648/j.acm.s.2018070101.12
ACS Style
Gholamreza Karamali; Babak Shiri; Elham Sefidgar. A Convergence Analysis of Discontinuous Collocation Method for IAEs of Index 1 Using the Concept “Strongly Equivalent”. Appl. Comput. Math. 2017, 7(1-1), 12-17. doi: 10.11648/j.acm.s.2018070101.12
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Download@article{10.11648/j.acm.s.2018070101.12,
author = {Gholamreza Karamali and Babak Shiri and Elham Sefidgar},
title = {A Convergence Analysis of Discontinuous Collocation Method for IAEs of Index 1 Using the Concept “Strongly Equivalent”},
journal = {Applied and Computational Mathematics},
volume = {7},
number = {1-1},
pages = {12-17},
doi = {10.11648/j.acm.s.2018070101.12},
url = {https://doi.org/10.11648/j.acm.s.2018070101.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.s.2018070101.12},
abstract = {We introduce the concept “strongly equivalent” for integral algebraic equations (IAEs). This definition and its corresponding theorems construct powerful tools for the classifying and analyzing of IAEs (especially numerical analysis). The related theorems with short proofs provide powerful techniques for the complete convergence analysis of discretised collocation methods on discontinuous piecewise polynomial spaces.},
year = {2017}
}
TY - JOUR T1 - A Convergence Analysis of Discontinuous Collocation Method for IAEs of Index 1 Using the Concept “Strongly Equivalent” AU - Gholamreza Karamali AU - Babak Shiri AU - Elham Sefidgar Y1 - 2017/05/13 PY - 2017 N1 - https://doi.org/10.11648/j.acm.s.2018070101.12 DO - 10.11648/j.acm.s.2018070101.12 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 12 EP - 17 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.s.2018070101.12 AB - We introduce the concept “strongly equivalent” for integral algebraic equations (IAEs). This definition and its corresponding theorems construct powerful tools for the classifying and analyzing of IAEs (especially numerical analysis). The related theorems with short proofs provide powerful techniques for the complete convergence analysis of discretised collocation methods on discontinuous piecewise polynomial spaces. VL - 7 IS - 1-1 ER -
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