Barrios, Tomás P.; Behrens, Edwin M.; Bustinza, Rommel An a posteriori error estimate for a dual mixed method applied to Stokes system with non-null source terms. (English) Zbl 07445232 Adv. Comput. Math. 47, No. 5, Paper No. 77, 34 p. (2021). MSC: 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{T. P. Barrios} et al., Adv. Comput. Math. 47, No. 5, Paper No. 77, 34 p. (2021; Zbl 07445232) Full Text: DOI OpenURL
Helsing, Johan; Karlsson, Anders; Rosén, Andreas Comparison of integral equations for the Maxwell transmission problem with general permittivities. (English) Zbl 1480.45006 Adv. Comput. Math. 47, No. 5, Paper No. 76, 32 p. (2021). MSC: 45E05 35Q61 78M15 65R20 PDF BibTeX XML Cite \textit{J. Helsing} et al., Adv. Comput. Math. 47, No. 5, Paper No. 76, 32 p. (2021; Zbl 1480.45006) Full Text: DOI arXiv OpenURL
Timme, Sascha Mixed precision path tracking for polynomial homotopy continuation. (English) Zbl 07420356 Adv. Comput. Math. 47, No. 5, Paper No. 75, 23 p. (2021). MSC: 65H20 PDF BibTeX XML Cite \textit{S. Timme}, Adv. Comput. Math. 47, No. 5, Paper No. 75, 23 p. (2021; Zbl 07420356) Full Text: DOI arXiv OpenURL
Farazandeh, Elham; Mirzaei, Davoud A rational RBF interpolation with conditionally positive definite kernels. (English) Zbl 07420355 Adv. Comput. Math. 47, No. 5, Paper No. 74, 21 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D12 41A20 41A05 PDF BibTeX XML Cite \textit{E. Farazandeh} and \textit{D. Mirzaei}, Adv. Comput. Math. 47, No. 5, Paper No. 74, 21 p. (2021; Zbl 07420355) Full Text: DOI OpenURL
Zhang, Hui; Jiang, Xiaoyun; Zeng, Fanhai An \(H^1\) convergence of the spectral method for the time-fractional non-linear diffusion equations. (English) Zbl 07402268 Adv. Comput. Math. 47, No. 5, Paper No. 63, 25 p. (2021). MSC: 65-XX 26A33 65M06 65M12 65M15 35R11 PDF BibTeX XML Cite \textit{H. Zhang} et al., Adv. Comput. Math. 47, No. 5, Paper No. 63, 25 p. (2021; Zbl 07402268) Full Text: DOI OpenURL
Csetnek, Ernö Robert; Eberhard, Andrew; Tam, Matthew K. Convergence rates for boundedly regular systems. (English) Zbl 1483.34081 Adv. Comput. Math. 47, No. 5, Paper No. 62, 18 p. (2021). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 34G20 34D05 47H09 PDF BibTeX XML Cite \textit{E. R. Csetnek} et al., Adv. Comput. Math. 47, No. 5, Paper No. 62, 18 p. (2021; Zbl 1483.34081) Full Text: DOI arXiv OpenURL
Elasmi, Mehdi; Erath, Christoph; Kurz, Stefan Non-symmetric isogeometric FEM-BEM couplings. (English) Zbl 07402266 Adv. Comput. Math. 47, No. 5, Paper No. 61, 36 p. (2021). MSC: 65N12 65N30 65N38 78M10 78M15 PDF BibTeX XML Cite \textit{M. Elasmi} et al., Adv. Comput. Math. 47, No. 5, Paper No. 61, 36 p. (2021; Zbl 07402266) Full Text: DOI arXiv OpenURL
Huang, Rong; Xue, Jungong Accurate singular values of a class of parameterized negative matrices. (English) Zbl 07400555 Adv. Comput. Math. 47, No. 5, Paper No. 73, 30 p. (2021). MSC: 65F15 15A18 15B99 PDF BibTeX XML Cite \textit{R. Huang} and \textit{J. Xue}, Adv. Comput. Math. 47, No. 5, Paper No. 73, 30 p. (2021; Zbl 07400555) Full Text: DOI OpenURL
Casanova, Pedro González; Hernández-Santamaría, Víctor Carleman estimates and controllability results for fully discrete approximations of 1D parabolic equations. (English) Zbl 07400554 Adv. Comput. Math. 47, No. 5, Paper No. 72, 71 p. (2021). MSC: 65Mxx PDF BibTeX XML Cite \textit{P. G. Casanova} and \textit{V. Hernández-Santamaría}, Adv. Comput. Math. 47, No. 5, Paper No. 72, 71 p. (2021; Zbl 07400554) Full Text: DOI arXiv OpenURL
Zheng, Nan; Li, Xiaoli Error analysis of the SAV Fourier-spectral method for the Cahn-Hilliard-Hele-Shaw system. (English) Zbl 1482.65199 Adv. Comput. Math. 47, No. 5, Paper No. 71, 27 p. (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M70 65M06 65N35 65M12 65M15 76D27 35Q35 PDF BibTeX XML Cite \textit{N. Zheng} and \textit{X. Li}, Adv. Comput. Math. 47, No. 5, Paper No. 71, 27 p. (2021; Zbl 1482.65199) Full Text: DOI OpenURL
Sun, Xue; Liu, Zhongli; Tian, Hongjiong An alternative approach for order conditions of Runge-Kutta-Nyström methods. (English) Zbl 07400552 Adv. Comput. Math. 47, No. 5, Paper No. 70, 21 p. (2021). MSC: 65L05 65L06 PDF BibTeX XML Cite \textit{X. Sun} et al., Adv. Comput. Math. 47, No. 5, Paper No. 70, 21 p. (2021; Zbl 07400552) Full Text: DOI OpenURL
Yan, Wen; Blackwell, Robert Kernel aggregated fast multipole method. Efficient summation of Laplace and Stokes kernel functions. (English) Zbl 07400551 Adv. Comput. Math. 47, No. 5, Paper No. 69, 27 p. (2021). MSC: 65-XX PDF BibTeX XML Cite \textit{W. Yan} and \textit{R. Blackwell}, Adv. Comput. Math. 47, No. 5, Paper No. 69, 27 p. (2021; Zbl 07400551) Full Text: DOI arXiv OpenURL
Graham, I. G.; Pembery, O. R.; Spence, E. A. Analysis of a Helmholtz preconditioning problem motivated by uncertainty quantification. (English) Zbl 1473.35122 Adv. Comput. Math. 47, No. 5, Paper No. 68, 39 p. (2021). MSC: 35J05 35J25 65F08 65N22 65N30 PDF BibTeX XML Cite \textit{I. G. Graham} et al., Adv. Comput. Math. 47, No. 5, Paper No. 68, 39 p. (2021; Zbl 1473.35122) Full Text: DOI arXiv OpenURL
Liang, Zhao-Zheng; Zhang, Guo-Feng Robust preconditioning techniques for multiharmonic finite element method with application to time-periodic parabolic optimal control problems. (English) Zbl 07400549 Adv. Comput. Math. 47, No. 5, Paper No. 67, 38 p. (2021). MSC: 65F10 65F50 65F15 65N22 65N30 49K20 PDF BibTeX XML Cite \textit{Z.-Z. Liang} and \textit{G.-F. Zhang}, Adv. Comput. Math. 47, No. 5, Paper No. 67, 38 p. (2021; Zbl 07400549) Full Text: DOI OpenURL
Guglielmi, Nicola; Kressner, Daniel; Scalone, Carmela Computing low-rank rightmost eigenpairs of a class of matrix-valued linear operators. (English) Zbl 07400548 Adv. Comput. Math. 47, No. 5, Paper No. 66, 28 p. (2021). MSC: 65F15 15A18 PDF BibTeX XML Cite \textit{N. Guglielmi} et al., Adv. Comput. Math. 47, No. 5, Paper No. 66, 28 p. (2021; Zbl 07400548) Full Text: DOI OpenURL
Huang, Jingfang; Cao, Jian; Fang, Fuhui; Genton, Marc G.; Keyes, David E.; Turkiyyah, George An \(O(N)\) algorithm for computing expectation of \(N\)-dimensional truncated multi-variate normal distribution. I: Fundamentals. (English) Zbl 07400547 Adv. Comput. Math. 47, No. 5, Paper No. 65, 34 p. (2021). MSC: 03D20 34B27 62H10 65C60 65D30 65T40 PDF BibTeX XML Cite \textit{J. Huang} et al., Adv. Comput. Math. 47, No. 5, Paper No. 65, 34 p. (2021; Zbl 07400547) Full Text: DOI OpenURL
Qiao, Leijie; Xu, Da A fast ADI orthogonal spline collocation method with graded meshes for the two-dimensional fractional integro-differential equation. (English) Zbl 07400546 Adv. Comput. Math. 47, No. 5, Paper No. 64, 22 p. (2021). MSC: 65-XX 35R11 45E10 65M70 65M15 PDF BibTeX XML Cite \textit{L. Qiao} and \textit{D. Xu}, Adv. Comput. Math. 47, No. 5, Paper No. 64, 22 p. (2021; Zbl 07400546) Full Text: DOI OpenURL