Ershov, A. A.; Rusanova, M. I. Asymptotics of multidimensional integrals depending singularly on a small parameter. (English. Russian original) Zbl 1377.41019 Proc. Steklov Inst. Math. 297, Suppl. 1, S72-S80 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 1, 84-92 (2016). MSC: 41A60 41A63 PDFBibTeX XMLCite \textit{A. A. Ershov} and \textit{M. I. Rusanova}, Proc. Steklov Inst. Math. 297, S72--S80 (2017; Zbl 1377.41019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 1, 84--92 (2016) Full Text: DOI
Ershov, Aleksandr Anatol’evich Asymptotics of three-dimensional integrals singularly depending on a small parameter. (Russian. English summary) Zbl 1464.41009 Chelyabinskiĭ Fiz.-Mat. Zh. 1, No. 1, 35-42 (2016). MSC: 41A60 26B15 PDFBibTeX XMLCite \textit{A. A. Ershov}, Chelyabinskiĭ Fiz.-Mat. Zh. 1, No. 1, 35--42 (2016; Zbl 1464.41009) Full Text: MNR
Gori, Laura; Pellegrino, E.; Santi, Elisabetta Numerical evaluation of certain hypersingular integrals using refinable operators. (English) Zbl 1244.65037 Math. Comput. Simul. 82, No. 1, 132-143 (2011). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{L. Gori} et al., Math. Comput. Simul. 82, No. 1, 132--143 (2011; Zbl 1244.65037) Full Text: DOI
Santos-León, J. C. Computation of integrals over the unit circle with nearby poles. (English) Zbl 0980.65022 Appl. Numer. Math. 36, No. 2-3, 179-195 (2001). Reviewer: E.Kreyszig (Ottawa) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{J. C. Santos-León}, Appl. Numer. Math. 36, No. 2--3, 179--195 (2001; Zbl 0980.65022) Full Text: DOI
Vozovoi, L.; Israeli, M.; Averbuch, A. Analysis and application of Fourier-Gegenbauer method to stiff differential equations. (English) Zbl 0864.41007 SIAM J. Numer. Anal. 33, No. 5, 1844-1863 (1996). Reviewer: G.Plonka (Rostock) MSC: 65T50 34E13 42A99 41A10 41A25 PDFBibTeX XMLCite \textit{L. Vozovoi} et al., SIAM J. Numer. Anal. 33, No. 5, 1844--1863 (1996; Zbl 0864.41007) Full Text: DOI
Santi, Elisabetta On the evaluation of Cauchy principal value integrals by rules based on quasi-interpolating splines. (English) Zbl 0856.65010 J. Comput. Appl. Math. 71, No. 1, 1-14 (1996). Reviewer: R.S.Dahiya (Ames) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{E. Santi}, J. Comput. Appl. Math. 71, No. 1, 1--14 (1996; Zbl 0856.65010) Full Text: DOI
Diethelm, Kai Numerical approximation of Cauchy principal value integrals under theoretical and computer- oriented aspects. (Numerische Approximation von Cauchy-Hauptwert-Integralen unter theoretischen und rechnerorientierten Aspekten.) (German. English summary) Zbl 0833.65014 Hildesheim: FB IV, Math., Inf., Naturwiss., Univ. Hildesheim, 103 S. (1994). MSC: 65D32 41A55 41A80 PDFBibTeX XMLCite \textit{K. Diethelm}, Numerische Approximation von Cauchy-Hauptwert-Integralen unter theoretischen und rechnerorientierten Aspekten. Hildesheim: FB IV, Math., Inf., Naturwiss., Univ. Hildesheim (1994; Zbl 0833.65014)
Yu, De-Hao The numerical computation of hypersingular integrals and its application in BEM. (English) Zbl 0806.65016 Adv. Eng. Softw. 18, No. 2, 103-109 (1993). Reviewer: J.Elschner (Berlin) MSC: 65D32 65N38 41A55 PDFBibTeX XMLCite \textit{D.-H. Yu}, Adv. Eng. Softw. 18, No. 2, 103--109 (1993; Zbl 0806.65016) Full Text: DOI
Dagnino, Catterina; Santi, Elisabetta On the evaluation of one-dimensional Cauchy principal value integrals by rules based on cubic spline interpolation. (English) Zbl 0688.65020 Computing 43, No. 3, 267-276 (1990). Reviewer: W.Moldenhauer MSC: 65D32 41A55 30E20 PDFBibTeX XMLCite \textit{C. Dagnino} and \textit{E. Santi}, Computing 43, No. 3, 267--276 (1990; Zbl 0688.65020) Full Text: DOI