Khan, Suliman; Zaman, Sakhi; Arama, Ahlam; Arshad, Muhammad On the evaluation of highly oscillatory integrals with high frequency. (English) Zbl 1464.65025 Eng. Anal. Bound. Elem. 121, 116-125 (2020). MSC: 65D30 65D12 PDFBibTeX XMLCite \textit{S. Khan} et al., Eng. Anal. Bound. Elem. 121, 116--125 (2020; Zbl 1464.65025) Full Text: DOI
Hargreaves, Jonathan A.; Lam, Yiu W. The wave-matching boundary integral equation – an energy approach to Galerkin BEM for acoustic wave propagation problems. (English) Zbl 1524.74456 Wave Motion 87, 4-36 (2019). MSC: 74S15 76M15 65N38 35J05 35Q74 74J20 76Q05 PDFBibTeX XMLCite \textit{J. A. Hargreaves} and \textit{Y. W. Lam}, Wave Motion 87, 4--36 (2019; Zbl 1524.74456) Full Text: DOI
Gao, Jing; Iserles, Arieh An adaptive Filon algorithm for highly oscillatory integrals. (English) Zbl 1405.65028 Dick, Josef (ed.) et al., Contemporary computational mathematics – a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer (ISBN 978-3-319-72455-3/hbk; 978-3-319-72456-0/ebook). 407-424 (2018). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{J. Gao} and \textit{A. Iserles}, in: Contemporary computational mathematics -- a celebration of the 80th birthday of Ian Sloan. In 2 volumes. Cham: Springer. 407--424 (2018; Zbl 1405.65028) Full Text: DOI
Sheng, Qin; Sun, Hai-wei Stability of a modified Peaceman-Rachford method for the paraxial Helmholtz equation on adaptive grids. (English) Zbl 1375.78021 J. Comput. Phys. 325, 259-271 (2016). MSC: 78A40 65M12 35Q60 PDFBibTeX XMLCite \textit{Q. Sheng} and \textit{H.-w. Sun}, J. Comput. Phys. 325, 259--271 (2016; Zbl 1375.78021) Full Text: DOI
Sheng, Qin; Guha, Shekhar; Gonzalez, Leonel P. An exponential transformation based splitting method for fast computations of highly oscillatory solutions. (English) Zbl 1216.78008 J. Comput. Appl. Math. 235, No. 15, 4452-4463 (2011). MSC: 78M20 65M06 65M50 65Z05 78A15 PDFBibTeX XMLCite \textit{Q. Sheng} et al., J. Comput. Appl. Math. 235, No. 15, 4452--4463 (2011; Zbl 1216.78008) Full Text: DOI