Numerical approximation of Volterra integral equations with highly oscillatory kernels

Autor: Suliman Khan

Publikováno v: Results in Applied Mathematics, Vol 23, Iss , Pp 100483- (2024)

The Volterra integral equations (VIEs) with oscillatory kernels arise in several applied problems and need to be treated with a computational method have multiple characteristics. In the literature (Zaheer-ud-Din et al., 2022; Li et al., 2012), the L

Externí odkaz: https://doaj.org/article/3ac706f88ea04871aa11832d74aab99f

Numerical Investigation of the Fredholm Integral Equations with Oscillatory Kernels Based on Compactly Supported Radial Basis Functions

Autor: Suliman Khan, Sharifah E. Alhazmi, Aisha M. Alqahtani, Ahmed EI-Sayed Ahmed, Mansour F. Yaseen, Elsayed M. Tag-Eldin, Dania Qaiser

Publikováno v: Symmetry, Vol 14, Iss 8, p 1527 (2022)

The integral equations with oscillatory kernels are of great concern in applied sciences and computational engineering, particularly for large-scale data points and high frequencies. Therefore, the interest of this work is to develop an accurate, eff

Externí odkaz: https://doaj.org/article/1ec6acf9cdd74faa815712ca548df5e1

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Symmetries and Fast Multipole Methods for Oscillatory Kernels

Autor: Chollet, Igor

Publikováno v: Analysis of PDEs [math.AP]. Sorbonne Université, 2021. English. ⟨NNT : 2021SORUS211⟩
Mathematics [math]. Sorbonne Université, 2021. English

We are interested in this manuscript in hierarchical methods for accelerating the resolution of linear systems derived from the boundary element method for problems appearing in electromagnetism. Particular emphasis is placed on the Fast Multipole Me

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::183dc263f8c08cd8a4ce5191e59ee81d
https://tel.archives-ouvertes.fr/tel-03203231v2/document

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