Keshtkar, Mahdi; Shivanian, Elyas To study the hyperbolic annular fin with temperature dependent thermal conductivity via optimized Chebyshev polynomials with interior point algorithm. (English) Zbl 07789684 Afr. Mat. 35, No. 1, Paper No. 8, 13 p. (2024). MSC: 65Z05 PDFBibTeX XMLCite \textit{M. Keshtkar} and \textit{E. Shivanian}, Afr. Mat. 35, No. 1, Paper No. 8, 13 p. (2024; Zbl 07789684) Full Text: DOI
van Buggenhout, Niel On generating Sobolev orthogonal polynomials. (English) Zbl 07819970 Numer. Math. 155, No. 3-4, 415-443 (2023). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{N. van Buggenhout}, Numer. Math. 155, No. 3--4, 415--443 (2023; Zbl 07819970) Full Text: DOI arXiv
Dong, Haixia; Ying, Wenjun; Zhang, Jiwei An efficient Cartesian grid-based method for scattering problems with inhomogeneous media. (English) Zbl 07814767 Numer. Math., Theory Methods Appl. 16, No. 2, 541-564 (2023). MSC: 35J25 65N30 65N50 65N55 PDFBibTeX XMLCite \textit{H. Dong} et al., Numer. Math., Theory Methods Appl. 16, No. 2, 541--564 (2023; Zbl 07814767) Full Text: DOI
Iserles, Arieh; Webb, Marcus Sobolev-orthogonal systems with tridiagonal skew-Hermitian differentiation matrices. (English) Zbl 07801253 Stud. Appl. Math. 150, No. 2, 420-447 (2023). Reviewer: Peter Massopust (München) MSC: 42C30 42C05 42C10 65M12 65M70 PDFBibTeX XMLCite \textit{A. Iserles} and \textit{M. Webb}, Stud. Appl. Math. 150, No. 2, 420--447 (2023; Zbl 07801253) Full Text: DOI arXiv OA License
Fasondini, Marco; Olver, Sheehan; Xu, Yuan Orthogonal polynomials on a class of planar algebraic curves. (English) Zbl 07778802 Stud. Appl. Math. 151, No. 1, 369-405 (2023). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65F20 42C05 42C10 PDFBibTeX XMLCite \textit{M. Fasondini} et al., Stud. Appl. Math. 151, No. 1, 369--405 (2023; Zbl 07778802) Full Text: DOI arXiv OA License
Colbrook, Matthew J.; Hansen, Anders C. The foundations of spectral computations via the solvability complexity index hierarchy. (English) Zbl 07774915 J. Eur. Math. Soc. (JEMS) 25, No. 12, 4639-4718 (2023). MSC: 68Q15 47A10 46N40 35P15 65L15 65N25 PDFBibTeX XMLCite \textit{M. J. Colbrook} and \textit{A. C. Hansen}, J. Eur. Math. Soc. (JEMS) 25, No. 12, 4639--4718 (2023; Zbl 07774915) Full Text: DOI arXiv
Gutleb, Timon S.; Carrillo, José A. A static memory sparse spectral method for time-fractional PDEs. (English) Zbl 07766234 J. Comput. Phys. 494, Article ID 112522, 22 p. (2023). MSC: 65Nxx 41Axx 65Dxx PDFBibTeX XMLCite \textit{T. S. Gutleb} and \textit{J. A. Carrillo}, J. Comput. Phys. 494, Article ID 112522, 22 p. (2023; Zbl 07766234) Full Text: DOI arXiv
Mildenberger, Sophie; Quellmalz, Michael A double Fourier sphere method for \(d\)-dimensional manifolds. (English) Zbl 07739031 Sampl. Theory Signal Process. Data Anal. 21, No. 2, Paper No. 23, 40 p. (2023). MSC: 42B05 41A65 42C10 65T50 PDFBibTeX XMLCite \textit{S. Mildenberger} and \textit{M. Quellmalz}, Sampl. Theory Signal Process. Data Anal. 21, No. 2, Paper No. 23, 40 p. (2023; Zbl 07739031) Full Text: DOI arXiv
Gutleb, Timon S.; Carrillo, José A.; Olver, Sheehan Computation of power law equilibrium measures on balls of arbitrary dimension. (English) Zbl 1528.65120 Constr. Approx. 58, No. 1, 75-120 (2023). Reviewer: Michael Jung (Dresden) MSC: 65N35 65R20 65K10 35B06 26A33 35R11 PDFBibTeX XMLCite \textit{T. S. Gutleb} et al., Constr. Approx. 58, No. 1, 75--120 (2023; Zbl 1528.65120) Full Text: DOI arXiv
Coşkun, M.; Ertürk, M. Applicability of noninteger Bessel type orbital basis sets: numerical and analytical approaches. (English) Zbl 07724026 J. Math. Chem. 61, No. 8, 1672-1683 (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{M. Coşkun} and \textit{M. Ertürk}, J. Math. Chem. 61, No. 8, 1672--1683 (2023; Zbl 07724026) Full Text: DOI
Ellison, Abram C.; Julien, Keith Gyroscopic polynomials. (English) Zbl 07705909 J. Comput. Phys. 489, Article ID 112268, 31 p. (2023). MSC: 65Nxx 65Lxx 65Fxx PDFBibTeX XMLCite \textit{A. C. Ellison} and \textit{K. Julien}, J. Comput. Phys. 489, Article ID 112268, 31 p. (2023; Zbl 07705909) Full Text: DOI arXiv
Bilman, Deniz; Nabelek, Patrik; Trogdon, Thomas Computation of large-genus solutions of the Korteweg-de Vries equation. (English) Zbl 07695158 Physica D 449, Article ID 133715, 26 p. (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{D. Bilman} et al., Physica D 449, Article ID 133715, 26 p. (2023; Zbl 07695158) Full Text: DOI arXiv
Liu, Zexin; Narayan, Akil A Stieltjes algorithm for generating multivariate orthogonal polynomials. (English) Zbl 1515.65045 SIAM J. Sci. Comput. 45, No. 3, A1125-A1147 (2023). MSC: 65D15 33D50 42C05 65Q30 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{A. Narayan}, SIAM J. Sci. Comput. 45, No. 3, A1125--A1147 (2023; Zbl 1515.65045) Full Text: DOI arXiv
Terekhov, Andrew V. An extra-component method for evaluating fast matrix-vector multiplication with special functions. (English) Zbl 07669766 Numer. Algorithms 92, No. 4, 2189-2217 (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{A. V. Terekhov}, Numer. Algorithms 92, No. 4, 2189--2217 (2023; Zbl 07669766) Full Text: DOI arXiv
Pu, Tianyi; Fasondini, Marco The numerical solution of fractional integral equations via orthogonal polynomials in fractional powers. (English) Zbl 1505.62519 Adv. Comput. Math. 49, No. 1, Paper No. 7, 40 p. (2023). MSC: 65R20 26A33 33E12 45A05 PDFBibTeX XMLCite \textit{T. Pu} and \textit{M. Fasondini}, Adv. Comput. Math. 49, No. 1, Paper No. 7, 40 p. (2023; Zbl 1505.62519) Full Text: DOI arXiv
Fedosova, Ksenia; Nursultanov, Medet High energy asymptotics for the perturbed anharmonic oscillator. (English) Zbl 1521.34081 Complex Var. Elliptic Equ. 68, No. 3, 385-404 (2023). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34L20 34B24 47A55 PDFBibTeX XMLCite \textit{K. Fedosova} and \textit{M. Nursultanov}, Complex Var. Elliptic Equ. 68, No. 3, 385--404 (2023; Zbl 1521.34081) Full Text: DOI arXiv
Slevinsky, Richard M.; Safouhi, Hassan A recursive algorithm for an efficient and accurate computation of incomplete Bessel functions. (English) Zbl 1506.65004 Numer. Algorithms 92, No. 1, 973-983 (2023). MSC: 65B05 65D30 33C10 PDFBibTeX XMLCite \textit{R. M. Slevinsky} and \textit{H. Safouhi}, Numer. Algorithms 92, No. 1, 973--983 (2023; Zbl 1506.65004) Full Text: DOI arXiv
Qiu, Wenlin; Xu, Da; Guo, Jing A formally second-order backward differentiation formula sinc-collocation method for the Volterra integro-differential equation with a weakly singular kernel based on the double exponential transformation. (English) Zbl 07778273 Numer. Methods Partial Differ. Equations 38, No. 4, 830-847 (2022). MSC: 65M70 65M06 65N35 65M12 65M15 45D05 45K05 26A33 35R11 PDFBibTeX XMLCite \textit{W. Qiu} et al., Numer. Methods Partial Differ. Equations 38, No. 4, 830--847 (2022; Zbl 07778273) Full Text: DOI
Zhang, Chao; Yao, Guoqing; Chen, Sheng A robust hybrid spectral method for nonlocal problems with weakly singular kernels. (English) Zbl 1524.65693 Numer. Math., Theory Methods Appl. 15, No. 4, 1041-1062 (2022). MSC: 65M70 65N35 41A25 42B20 45D05 42C10 65R20 65M12 65M15 PDFBibTeX XMLCite \textit{C. Zhang} et al., Numer. Math., Theory Methods Appl. 15, No. 4, 1041--1062 (2022; Zbl 1524.65693) Full Text: DOI
Guo, Jing; Pan, Qing; Xu, Da; Qiu, Wenlin A spectral order method for solving the nonlinear fourth-order time-fractional problem. (English) Zbl 1503.65261 J. Appl. Math. Comput. 68, No. 6, 4645-4667 (2022). MSC: 65M70 65M60 65M06 65N35 65N30 65M12 65N15 26A33 35R11 PDFBibTeX XMLCite \textit{J. Guo} et al., J. Appl. Math. Comput. 68, No. 6, 4645--4667 (2022; Zbl 1503.65261) Full Text: DOI
Goloskokov, Dmitriy P.; Matrosov, Alexander V. Bending of clamped orthotropic thin plates: polynomial solution. (English) Zbl 07619147 Math. Mech. Solids 27, No. 11, 2498-2509 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{D. P. Goloskokov} and \textit{A. V. Matrosov}, Math. Mech. Solids 27, No. 11, 2498--2509 (2022; Zbl 07619147) Full Text: DOI
Gutleb, Timon S.; Carrillo, José A.; Olver, Sheehan Computing equilibrium measures with power law kernels. (English) Zbl 1496.65227 Math. Comput. 91, No. 337, 2247-2281 (2022). MSC: 65N35 65R20 65K10 65J20 PDFBibTeX XMLCite \textit{T. S. Gutleb} et al., Math. Comput. 91, No. 337, 2247--2281 (2022; Zbl 1496.65227) Full Text: DOI arXiv
Slevinsky, Richard M.; Safouhi, Hassan Compact formulae for three-center nuclear attraction integrals over exponential type functions. (English) Zbl 1498.81142 J. Math. Chem. 60, No. 7, 1337-1355 (2022). MSC: 81V55 92E10 22E27 33C10 PDFBibTeX XMLCite \textit{R. M. Slevinsky} and \textit{H. Safouhi}, J. Math. Chem. 60, No. 7, 1337--1355 (2022; Zbl 1498.81142) Full Text: DOI arXiv
Hančová, Martina; Gajdoš, Andrej; Hanč, Jozef A practical, effective calculation of gamma difference distributions with open data science tools. (English) Zbl 07551351 J. Stat. Comput. Simulation 92, No. 11, 2205-2232 (2022). MSC: 62-XX 65C60 62E10 62M10 91B84 PDFBibTeX XMLCite \textit{M. Hančová} et al., J. Stat. Comput. Simulation 92, No. 11, 2205--2232 (2022; Zbl 07551351) Full Text: DOI arXiv
Taher, Anis Haytham Saleh An efficient numerical technique for estimating eigenvalues of second-order non-self-adjoint Sturm-Liouville problems. (English) Zbl 07538448 Math. Comput. Simul. 199, 25-37 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{A. H. S. Taher}, Math. Comput. Simul. 199, 25--37 (2022; Zbl 07538448) Full Text: DOI
Tian, Yan Superconvergence and fast implementation of the barycentric prolate differentiation. (English) Zbl 1489.65050 J. Comput. Appl. Math. 410, Article ID 114191, 15 p. (2022). MSC: 65D25 65D05 PDFBibTeX XMLCite \textit{Y. Tian}, J. Comput. Appl. Math. 410, Article ID 114191, 15 p. (2022; Zbl 1489.65050) Full Text: DOI
Trefethen, Lloyd N. Exactness of quadrature formulas. (English) Zbl 1515.65067 SIAM Rev. 64, No. 1, 132-150 (2022). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{L. N. Trefethen}, SIAM Rev. 64, No. 1, 132--150 (2022; Zbl 1515.65067) Full Text: DOI arXiv
Klippenstein, Brock; Slevinsky, Richard Mikaël Fast associated classical orthogonal polynomial transforms. (English) Zbl 1492.33009 J. Comput. Appl. Math. 403, Article ID 113831, 18 p. (2022). MSC: 33C47 65F15 PDFBibTeX XMLCite \textit{B. Klippenstein} and \textit{R. M. Slevinsky}, J. Comput. Appl. Math. 403, Article ID 113831, 18 p. (2022; Zbl 1492.33009) Full Text: DOI arXiv
Iserles, Arieh; Webb, Marcus A differential analogue of Favard’s theorem. (English) Zbl 1500.42010 Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 239-263 (2021). Reviewer: Lotfi Khériji (Tunis) MSC: 42C05 33C45 41A58 PDFBibTeX XMLCite \textit{A. Iserles} and \textit{M. Webb}, Oper. Theory: Adv. Appl. 285, 239--263 (2021; Zbl 1500.42010) Full Text: DOI arXiv
Bremer, James; Chen, Ze; Yang, Haizhao Rapid application of the spherical harmonic transform via interpolative decomposition butterfly factorization. (English) Zbl 1491.65163 SIAM J. Sci. Comput. 43, No. 6, A3789-A3808 (2021). MSC: 65R10 33C55 42C10 68W20 15A23 PDFBibTeX XMLCite \textit{J. Bremer} et al., SIAM J. Sci. Comput. 43, No. 6, A3789--A3808 (2021; Zbl 1491.65163) Full Text: DOI arXiv
Olver, Sheehan; Xu, Yuan Non-homogeneous wave equation on a cone. (English) Zbl 1484.35141 Integral Transforms Spec. Funct. 32, No. 5-8, 604-619 (2021). MSC: 35C10 33C50 35L05 35L20 42C05 42C10 PDFBibTeX XMLCite \textit{S. Olver} and \textit{Y. Xu}, Integral Transforms Spec. Funct. 32, No. 5--8, 604--619 (2021; Zbl 1484.35141) Full Text: DOI arXiv
Gutleb, Timon S. A fast sparse spectral method for nonlinear integro-differential Volterra equations with general kernels. (English) Zbl 1472.65096 Adv. Comput. Math. 47, No. 3, Paper No. 42, 26 p. (2021). MSC: 65L80 45D05 PDFBibTeX XMLCite \textit{T. S. Gutleb}, Adv. Comput. Math. 47, No. 3, Paper No. 42, 26 p. (2021; Zbl 1472.65096) Full Text: DOI arXiv
Jafarzadeh, Siavash; Wang, Longzhen; Larios, Adam; Bobaru, Florin A fast convolution-based method for peridynamic transient diffusion in arbitrary domains. (English) Zbl 1506.74477 Comput. Methods Appl. Mech. Eng. 375, Article ID 113633, 26 p. (2021). MSC: 74S22 65M70 65Y10 74A70 PDFBibTeX XMLCite \textit{S. Jafarzadeh} et al., Comput. Methods Appl. Mech. Eng. 375, Article ID 113633, 26 p. (2021; Zbl 1506.74477) Full Text: DOI
Qiu, Wenlin; Xu, Da; Guo, Jing Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the sinc-collocation method based on the double exponential transformation. (English) Zbl 1488.65753 Appl. Math. Comput. 392, Article ID 125693, 16 p. (2021). MSC: 65R20 45K05 35R11 65M70 65M12 PDFBibTeX XMLCite \textit{W. Qiu} et al., Appl. Math. Comput. 392, Article ID 125693, 16 p. (2021; Zbl 1488.65753) Full Text: DOI
Bremer, James; Pang, Qiyuan; Yang, Haizhao Fast algorithms for the multi-dimensional Jacobi polynomial transform. (English) Zbl 1467.65116 Appl. Comput. Harmon. Anal. 52, 231-250 (2021). MSC: 65R10 PDFBibTeX XMLCite \textit{J. Bremer} et al., Appl. Comput. Harmon. Anal. 52, 231--250 (2021; Zbl 1467.65116) Full Text: DOI arXiv
Olver, Sheehan; Slevinsky, Richard Mikaël; Townsend, Alex Fast algorithms using orthogonal polynomials. (English) Zbl 07674566 Acta Numerica 29, 573-699 (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{S. Olver} et al., Acta Numerica 29, 573--699 (2020; Zbl 07674566) Full Text: DOI
D’Elia, Marta; Du, Qiang; Glusa, Christian; Gunzburger, Max; Tian, Xiaochuan; Zhou, Zhi Numerical methods for nonlocal and fractional models. (English) Zbl 07674560 Acta Numerica 29, 1-124 (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. D'Elia} et al., Acta Numerica 29, 1--124 (2020; Zbl 07674560) Full Text: DOI arXiv
Vieira, S. L. R.; Bakke, K. Semiclassical analysis of the interaction of the magnetic quadrupole moment of a neutral particle with axial electric fields in a uniformly rotating frame. (English) Zbl 1508.81838 Found. Phys. 50, No. 7, 735-748 (2020). Reviewer: Vasil G. Angelov (Sofia) MSC: 81Q20 35Q55 81V60 81P55 78A25 PDFBibTeX XMLCite \textit{S. L. R. Vieira} and \textit{K. Bakke}, Found. Phys. 50, No. 7, 735--748 (2020; Zbl 1508.81838) Full Text: DOI
Priddin, Matthew J.; Kisil, Anastasia V.; Ayton, Lorna J. Applying an iterative method numerically to solve \(n \times n\) matrix Wiener-Hopf equations with exponential factors. (English) Zbl 1462.65224 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2162, Article ID 20190241, 18 p. (2020). MSC: 65R20 45E10 PDFBibTeX XMLCite \textit{M. J. Priddin} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 378, No. 2162, Article ID 20190241, 18 p. (2020; Zbl 1462.65224) Full Text: DOI
Jerez-Hanckes, Carlos; Pinto, José High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs. (English) Zbl 07357918 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1975-2009 (2020). MSC: 65R20 65N22 65N35 65N38 PDFBibTeX XMLCite \textit{C. Jerez-Hanckes} and \textit{J. Pinto}, ESAIM, Math. Model. Numer. Anal. 54, No. 6, 1975--2009 (2020; Zbl 07357918) Full Text: DOI
Shu, Jian-Jun; Shastri, Kunal Krishnaraj Basic properties of incomplete Macdonald function with applications. (English) Zbl 1456.33001 J. Funct. Spaces 2020, Article ID 6548298, 8 p. (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 33B10 33C10 65D20 PDFBibTeX XMLCite \textit{J.-J. Shu} and \textit{K. K. Shastri}, J. Funct. Spaces 2020, Article ID 6548298, 8 p. (2020; Zbl 1456.33001) Full Text: DOI arXiv
Boullé, Nicolas; Townsend, Alex Computing with functions in the ball. (English) Zbl 1452.65001 SIAM J. Sci. Comput. 42, No. 4, C169-C191 (2020). MSC: 65-04 65Dxx PDFBibTeX XMLCite \textit{N. Boullé} and \textit{A. Townsend}, SIAM J. Sci. Comput. 42, No. 4, C169--C191 (2020; Zbl 1452.65001) Full Text: DOI arXiv
Bakke, K.; Belich, H. Semiclassical approach of Lorentz symmetry breaking effects at a low energy scenario. (English) Zbl 1450.81068 Int. J. Theor. Phys. 59, No. 9, 2901-2911 (2020). MSC: 81V45 81Q20 81R20 81R40 PDFBibTeX XMLCite \textit{K. Bakke} and \textit{H. Belich}, Int. J. Theor. Phys. 59, No. 9, 2901--2911 (2020; Zbl 1450.81068) Full Text: DOI
Olver, Sheehan; Xu, Yuan Orthogonal polynomials in and on a quadratic surface of revolution. (English) Zbl 1503.42024 Math. Comput. 89, No. 326, 2847-2865 (2020). MSC: 42C05 42C10 65D15 65D32 65T50 PDFBibTeX XMLCite \textit{S. Olver} and \textit{Y. Xu}, Math. Comput. 89, No. 326, 2847--2865 (2020; Zbl 1503.42024) Full Text: DOI arXiv
Gutleb, Timon S.; Olver, Sheehan A sparse spectral method for Volterra integral equations using orthogonal polynomials on the triangle. (English) Zbl 1447.65171 SIAM J. Numer. Anal. 58, No. 3, 1993-2018 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N35 45D05 65R20 PDFBibTeX XMLCite \textit{T. S. Gutleb} and \textit{S. Olver}, SIAM J. Numer. Anal. 58, No. 3, 1993--2018 (2020; Zbl 1447.65171) Full Text: DOI arXiv
Drake, Kathryn P.; Wright, Grady B. A fast and accurate algorithm for spherical harmonic analysis on HEALPix grids with applications to the cosmic microwave background radiation. (English) Zbl 1437.65251 J. Comput. Phys. 416, Article ID 109544, 14 p. (2020). MSC: 65T50 65Z05 85A40 PDFBibTeX XMLCite \textit{K. P. Drake} and \textit{G. B. Wright}, J. Comput. Phys. 416, Article ID 109544, 14 p. (2020; Zbl 1437.65251) Full Text: DOI arXiv
Essaouini, M.; Abouzaid, B.; Gaudreau, P.; Safouhi, H. Computation of energy eigenvalues of the anharmonic Coulombic potential with irregular singularities. (English) Zbl 1451.65097 Numer. Algorithms 84, No. 4, 1397-1409 (2020). MSC: 65L15 65L60 81Q05 PDFBibTeX XMLCite \textit{M. Essaouini} et al., Numer. Algorithms 84, No. 4, 1397--1409 (2020; Zbl 1451.65097) Full Text: DOI arXiv
Aurentz, Jared Lee; Slevinsky, Richard Mikaël On symmetrizing the ultraspherical spectral method for self-adjoint problems. (English) Zbl 1436.81040 J. Comput. Phys. 410, Article ID 109383, 23 p. (2020). MSC: 81Q10 65F15 PDFBibTeX XMLCite \textit{J. L. Aurentz} and \textit{R. M. Slevinsky}, J. Comput. Phys. 410, Article ID 109383, 23 p. (2020; Zbl 1436.81040) Full Text: DOI arXiv
Magherini, Cecilia A corrected spectral method for Sturm-Liouville problems with unbounded potential at one endpoint. (English) Zbl 1427.65130 J. Comput. Appl. Math. 364, Article ID 112349, 21 p. (2020). MSC: 65L15 65L60 65L70 34B24 PDFBibTeX XMLCite \textit{C. Magherini}, J. Comput. Appl. Math. 364, Article ID 112349, 21 p. (2020; Zbl 1427.65130) Full Text: DOI arXiv
Vasil, Geoffrey M.; Lecoanet, Daniel; Burns, Keaton J.; Oishi, Jeffrey S.; Brown, Benjamin P. Tensor calculus in spherical coordinates using Jacobi polynomials. I: Mathematical analysis and derivations. (English) Zbl 07785508 J. Comput. Phys.: X 3, Article ID 100013, 31 p. (2019). MSC: 65Lxx 65Dxx 65Nxx PDFBibTeX XMLCite \textit{G. M. Vasil} et al., J. Comput. Phys.: X 3, Article ID 100013, 31 p. (2019; Zbl 07785508) Full Text: DOI arXiv
Colbrook, Matthew J.; Ayton, Lorna J.; Fokas, Athanassios S. The unified transform for mixed boundary condition problems in unbounded domains. (English) Zbl 1472.74115 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2222, Article ID 20180605, 21 p. (2019); correction ibid. 475, No. 2224, Article ID 20190201, 1 p. (2019). MSC: 74J20 PDFBibTeX XMLCite \textit{M. J. Colbrook} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 475, No. 2222, Article ID 20180605, 21 p. (2019; Zbl 1472.74115) Full Text: DOI Link
Li, Yu; Slevinsky, Richard Mikaël Fast and accurate algorithms for the computation of spherically symmetric nonlocal diffusion operators on lattices. (English) Zbl 1453.65443 J. Comput. Phys. 397, Article ID 108870, 15 p. (2019). MSC: 65R15 35R09 33C10 PDFBibTeX XMLCite \textit{Y. Li} and \textit{R. M. Slevinsky}, J. Comput. Phys. 397, Article ID 108870, 15 p. (2019; Zbl 1453.65443) Full Text: DOI arXiv
Vieira, S. L. R.; Bakke, K. Maxwell duality and semiclassical analysis of the interaction of the magnetic quadrupole moment of a neutral particle with external fields. (English) Zbl 1427.81194 J. Math. Phys. 60, No. 10, 102104, 10 p. (2019). MSC: 81V10 78A25 81Q20 PDFBibTeX XMLCite \textit{S. L. R. Vieira} and \textit{K. Bakke}, J. Math. Phys. 60, No. 10, 102104, 10 p. (2019; Zbl 1427.81194) Full Text: DOI
Olver, Sheehan; Townsend, Alex; Vasil, Geoffrey A sparse spectral method on triangles. (English) Zbl 1434.65297 SIAM J. Sci. Comput. 41, No. 6, A3728-A3756 (2019). MSC: 65N35 65F50 PDFBibTeX XMLCite \textit{S. Olver} et al., SIAM J. Sci. Comput. 41, No. 6, A3728--A3756 (2019; Zbl 1434.65297) Full Text: DOI arXiv
Slevinsky, Richard Mikaël Fast and backward stable transforms between spherical harmonic expansions and bivariate Fourier series. (English) Zbl 1495.33006 Appl. Comput. Harmon. Anal. 47, No. 3, 585-606 (2019). MSC: 33C55 65F99 65Y99 PDFBibTeX XMLCite \textit{R. M. Slevinsky}, Appl. Comput. Harmon. Anal. 47, No. 3, 585--606 (2019; Zbl 1495.33006) Full Text: DOI arXiv
Kyoya, Shunki; Tanaka, Ken’ichiro Improvement of the double exponential formula with conformal maps based on the locations of singularities. (English) Zbl 1428.30009 JSIAM Lett. 11, 65-68 (2019). MSC: 30C35 65D30 PDFBibTeX XMLCite \textit{S. Kyoya} and \textit{K. Tanaka}, JSIAM Lett. 11, 65--68 (2019; Zbl 1428.30009) Full Text: DOI
Sirovich, Roberta; Testa, Luisa On the first positive and negative excursion exceeding a given length. (English) Zbl 1454.60124 Stat. Probab. Lett. 150, 137-145 (2019). MSC: 60J60 60G17 91G20 PDFBibTeX XMLCite \textit{R. Sirovich} and \textit{L. Testa}, Stat. Probab. Lett. 150, 137--145 (2019; Zbl 1454.60124) Full Text: DOI Link
Qadeer, Saad; Wilkening, Jon A. Computing the Dirichlet-Neumann operator on a cylinder. (English) Zbl 1423.35301 SIAM J. Numer. Anal. 57, No. 3, 1183-1204 (2019). Reviewer: Guido Schneider (Stuttgart) MSC: 35Q31 65N35 76B07 PDFBibTeX XMLCite \textit{S. Qadeer} and \textit{J. A. Wilkening}, SIAM J. Numer. Anal. 57, No. 3, 1183--1204 (2019; Zbl 1423.35301) Full Text: DOI arXiv
Liu, Liqun; Wong, Kit Pong Greater Arrow-Pratt (absolute) risk aversion of higher orders. (English) Zbl 1417.91202 J. Math. Econ. 82, 112-124 (2019). MSC: 91B16 60E15 91A80 PDFBibTeX XMLCite \textit{L. Liu} and \textit{K. P. Wong}, J. Math. Econ. 82, 112--124 (2019; Zbl 1417.91202) Full Text: DOI
Olver, Sheehan; Xu, Yuan Orthogonal structure on a wedge and on the boundary of a square. (English) Zbl 1428.42049 Found. Comput. Math. 19, No. 3, 561-589 (2019). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 42C10 33C50 PDFBibTeX XMLCite \textit{S. Olver} and \textit{Y. Xu}, Found. Comput. Math. 19, No. 3, 561--589 (2019; Zbl 1428.42049) Full Text: DOI arXiv
Shivanian, Elyas; Kazemi, Ramin; Keshtkar, Mahdi Thermal analysis of longitudinal fin with temperature-dependent properties and internal heat generation by a novel intelligent computational approach using optimized Chebyshev polynomials. (English) Zbl 07048615 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 2, 153-166 (2019). MSC: 34B15 34B60 PDFBibTeX XMLCite \textit{E. Shivanian} et al., Int. J. Nonlinear Sci. Numer. Simul. 20, No. 2, 153--166 (2019; Zbl 07048615) Full Text: DOI
Maiz, F. Development of the perturbation theory using polynomial solutions. (English) Zbl 1406.81032 J. Math. Phys. 60, No. 1, 012103, 6 p. (2019). MSC: 81Q10 81Q05 81U15 35C11 41A05 PDFBibTeX XMLCite \textit{F. Maiz}, J. Math. Phys. 60, No. 1, 012103, 6 p. (2019; Zbl 1406.81032) Full Text: DOI
Slevinsky, Richard Mikaël; Montanelli, Hadrien; Du, Qiang A spectral method for nonlocal diffusion operators on the sphere. (English) Zbl 1415.65238 J. Comput. Phys. 372, 893-911 (2018). MSC: 65M70 35R09 35B36 35J05 PDFBibTeX XMLCite \textit{R. M. Slevinsky} et al., J. Comput. Phys. 372, 893--911 (2018; Zbl 1415.65238) Full Text: DOI arXiv
Rashidinia, Jalil; Sajjadian, Mehri The impact of two transformations on the solutions of second kind Fredholm integral equations system. (English) Zbl 1461.65275 Int. J. Appl. Comput. Math. 4, No. 3, Paper No. 87, 12 p. (2018). MSC: 65R20 45B05 PDFBibTeX XMLCite \textit{J. Rashidinia} and \textit{M. Sajjadian}, Int. J. Appl. Comput. Math. 4, No. 3, Paper No. 87, 12 p. (2018; Zbl 1461.65275) Full Text: DOI
Hale, Nicholas; Olver, Sheehan A fast and spectrally convergent algorithm for rational-order fractional integral and differential equations. (English) Zbl 1397.65124 SIAM J. Sci. Comput. 40, No. 4, A2456-A2491 (2018). MSC: 65L99 34A08 PDFBibTeX XMLCite \textit{N. Hale} and \textit{S. Olver}, SIAM J. Sci. Comput. 40, No. 4, A2456--A2491 (2018; Zbl 1397.65124) Full Text: DOI arXiv
Townsend, Alex; Webb, Marcus; Olver, Sheehan Fast polynomial transforms based on Toeplitz and Hankel matrices. (English) Zbl 1478.65147 Math. Comput. 87, No. 312, 1913-1934 (2018). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 42C05 15B05 PDFBibTeX XMLCite \textit{A. Townsend} et al., Math. Comput. 87, No. 312, 1913--1934 (2018; Zbl 1478.65147) Full Text: DOI arXiv
Cassidy, Tyler; Gaudreau, Philippe; Safouhi, Hassan On the computation of eigenvalues of the anharmonic Coulombic potential. (English) Zbl 1431.65125 J. Math. Chem. 56, No. 2, 477-492 (2018). MSC: 65L60 65L10 65L15 65L20 PDFBibTeX XMLCite \textit{T. Cassidy} et al., J. Math. Chem. 56, No. 2, 477--492 (2018; Zbl 1431.65125) Full Text: DOI arXiv
Montanelli, Hadrien; Nakatsukasa, Yuji Fourth-order time-stepping for stiff PDEs on the sphere. (English) Zbl 1383.65112 SIAM J. Sci. Comput. 40, No. 1, A421-A451 (2018). MSC: 65M20 58J05 65T40 PDFBibTeX XMLCite \textit{H. Montanelli} and \textit{Y. Nakatsukasa}, SIAM J. Sci. Comput. 40, No. 1, A421--A451 (2018; Zbl 1383.65112) Full Text: DOI arXiv
Shamshirgar, Davoud Saffar; Tornberg, Anna-Karin The spectral Ewald method for singly periodic domains. (English) Zbl 1380.78004 J. Comput. Phys. 347, 341-366 (2017). MSC: 78A30 65T50 PDFBibTeX XMLCite \textit{D. S. Shamshirgar} and \textit{A.-K. Tornberg}, J. Comput. Phys. 347, 341--366 (2017; Zbl 1380.78004) Full Text: DOI arXiv
Gaudreau, Philippe; Safouhi, Hassan Double exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function. (English) Zbl 1373.81209 J. Math. Phys. 58, No. 10, 101509, 14 p. (2017). MSC: 81Q10 34L40 39A12 34L16 PDFBibTeX XMLCite \textit{P. Gaudreau} and \textit{H. Safouhi}, J. Math. Phys. 58, No. 10, 101509, 14 p. (2017; Zbl 1373.81209) Full Text: DOI
Hesameddini, Esmail; Asadolahifard, Elham A new spectral Galerkin method for solving the two dimensional hyperbolic telegraph equation. (English) Zbl 1361.65078 Comput. Math. Appl. 72, No. 7, 1926-1942 (2016). MSC: 65M60 65M70 35L20 65M12 65F10 65M06 65M20 PDFBibTeX XMLCite \textit{E. Hesameddini} and \textit{E. Asadolahifard}, Comput. Math. Appl. 72, No. 7, 1926--1942 (2016; Zbl 1361.65078) Full Text: DOI
Gaudreau, P.; Slevinsky, R.; Safouhi, H. The double exponential sinc collocation method for singular Sturm-Liouville problems. (English) Zbl 1416.65231 J. Math. Phys. 57, No. 4, 043505, 19 p. (2016). MSC: 65L60 65L15 34B24 34L15 PDFBibTeX XMLCite \textit{P. Gaudreau} et al., J. Math. Phys. 57, No. 4, 043505, 19 p. (2016; Zbl 1416.65231) Full Text: DOI arXiv
Nestler, Franziska An NFFT based approach to the efficient computation of dipole-dipole interactions under various periodic boundary conditions. (English) Zbl 1416.65568 Appl. Numer. Math. 105, 25-46 (2016). MSC: 65T50 65B10 78M25 65R10 PDFBibTeX XMLCite \textit{F. Nestler}, Appl. Numer. Math. 105, 25--46 (2016; Zbl 1416.65568) Full Text: DOI
Gaudreau, Philippe J.; Slevinsky, Richard M.; Safouhi, Hassan Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method. (English) Zbl 1360.65197 Ann. Phys. 360, 520-538 (2015). MSC: 65L10 65L20 34C15 PDFBibTeX XMLCite \textit{P. J. Gaudreau} et al., Ann. Phys. 360, 520--538 (2015; Zbl 1360.65197) Full Text: DOI arXiv
Nestler, Franziska; Pippig, Michael; Potts, Daniel Fast ewald summation based on NFFT with mixed periodicity. (English) Zbl 1351.78066 J. Comput. Phys. 285, 280-315 (2015). MSC: 78M25 65B10 65T50 PDFBibTeX XMLCite \textit{F. Nestler} et al., J. Comput. Phys. 285, 280--315 (2015; Zbl 1351.78066) Full Text: DOI
Slevinsky, Richard M.; Safouhi, Hassan Useful properties of the coefficients of the Slevinsky-Safouhi formula for differentiation. (English) Zbl 1301.26008 Numer. Algorithms 66, No. 3, 457-477 (2014). Reviewer: Cristinel Mortici (Târgovişte) MSC: 26A24 65D25 11B73 05A15 34E05 PDFBibTeX XMLCite \textit{R. M. Slevinsky} and \textit{H. Safouhi}, Numer. Algorithms 66, No. 3, 457--477 (2014; Zbl 1301.26008) Full Text: DOI
Conte, Dajana; Ixaru, Liviu Gr.; Paternoster, Beatrice; Santomauro, Giuseppe Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval. (English) Zbl 1291.65071 J. Comput. Appl. Math. 255, 725-736 (2014). MSC: 65D30 PDFBibTeX XMLCite \textit{D. Conte} et al., J. Comput. Appl. Math. 255, 725--736 (2014; Zbl 1291.65071) Full Text: DOI
Slevinsky, Richard M.; Safouhi, Hassan A comparative study of numerical steepest descent, extrapolation, and sequence transformation methods in computing semi-infinite integrals. (English) Zbl 1245.65030 Numer. Algorithms 60, No. 2, 315-337 (2012). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{R. M. Slevinsky} and \textit{H. Safouhi}, Numer. Algorithms 60, No. 2, 315--337 (2012; Zbl 1245.65030) Full Text: DOI
Chen, Jie; Wang, Guo-Jin Hybrid polynomial approximation to higher derivatives of rational curves. (English) Zbl 1225.65020 J. Comput. Appl. Math. 235, No. 17, 4925-4936 (2011). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D17 65D25 PDFBibTeX XMLCite \textit{J. Chen} and \textit{G.-J. Wang}, J. Comput. Appl. Math. 235, No. 17, 4925--4936 (2011; Zbl 1225.65020) Full Text: DOI
Slevinsky, Richard M.; Safouhi, Hassan A recursive algorithm for the \(G\) transformation and accurate computation of incomplete Bessel functions. (English) Zbl 1201.65036 Appl. Numer. Math. 60, No. 12, 1411-1417 (2010). MSC: 65D20 PDFBibTeX XMLCite \textit{R. M. Slevinsky} and \textit{H. Safouhi}, Appl. Numer. Math. 60, No. 12, 1411--1417 (2010; Zbl 1201.65036) Full Text: DOI
Safouhi, Hassan Bessel, sine and cosine functions and extrapolation methods for computing molecular multi-center integrals. (English) Zbl 1190.65032 Numer. Algorithms 54, No. 1, 141-167 (2010). MSC: 65D20 33E20 33F05 65D32 81V55 PDFBibTeX XMLCite \textit{H. Safouhi}, Numer. Algorithms 54, No. 1, 141--167 (2010; Zbl 1190.65032) Full Text: DOI
Hatano, Yasuyo; Ninomiya, Ichizo; Sugiura, Hiroshi; Hasegawa, Takemitsu Numerical evaluation of Goursat’s infinite integral. (English) Zbl 1175.65037 Numer. Algorithms 52, No. 2, 213-224 (2009). MSC: 65D32 PDFBibTeX XMLCite \textit{Y. Hatano} et al., Numer. Algorithms 52, No. 2, 213--224 (2009; Zbl 1175.65037) Full Text: DOI
Slevinsky, Richard M.; Safouhi, Hassan New formulae for higher order derivatives and applications. (English) Zbl 1183.65024 J. Comput. Appl. Math. 233, No. 2, 405-419 (2009). Reviewer: Thomas Sonar (Braunschweig) MSC: 65D25 33C45 33F05 PDFBibTeX XMLCite \textit{R. M. Slevinsky} and \textit{H. Safouhi}, J. Comput. Appl. Math. 233, No. 2, 405--419 (2009; Zbl 1183.65024) Full Text: DOI