Tian, Yan; Liu, Guidong; Kong, Desong Superconvergence points for higher-order derivative interpolation and its applications in spectral collocation method. (English) Zbl 07808095 J. Math. Anal. Appl. 534, No. 2, Article ID 128085, 19 p. (2024). MSC: 65N35 65D32 65D05 65N12 42C10 41A25 34M46 PDFBibTeX XMLCite \textit{Y. Tian} et al., J. Math. Anal. Appl. 534, No. 2, Article ID 128085, 19 p. (2024; Zbl 07808095) Full Text: DOI
Laudadio, Teresa; Mastronardi, Nicola; Van Dooren, Paul On computing modified moments for half-range Hermite weights. (English) Zbl 07807009 Numer. Algorithms 95, No. 3, 1435-1457 (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65D32 65F05 33C45 PDFBibTeX XMLCite \textit{T. Laudadio} et al., Numer. Algorithms 95, No. 3, 1435--1457 (2024; Zbl 07807009) Full Text: DOI OA License
Spalević, Miodrag M. Modified anti-Gaussian quadrature formulae of Chebyshev type. (English) Zbl 07807005 Numer. Algorithms 95, No. 3, 1347-1357 (2024). MSC: 65D30 41A55 33C45 65D32 PDFBibTeX XMLCite \textit{M. M. Spalević}, Numer. Algorithms 95, No. 3, 1347--1357 (2024; Zbl 07807005) Full Text: DOI
Solodky, S. G.; Stasyuk, S. A. The minimal radius of Galerkin information for the problem of numerical differentiation. (English) Zbl 07805470 J. Complexity 81, Article ID 101787, 23 p. (2024). MSC: 65D25 42C10 65J20 PDFBibTeX XMLCite \textit{S. G. Solodky} and \textit{S. A. Stasyuk}, J. Complexity 81, Article ID 101787, 23 p. (2024; Zbl 07805470) Full Text: DOI
Zhang, Wen; Wu, Changxing; Ruan, Zhousheng; Qiu, Shufang A Jacobi spectral method for calculating fractional derivative based on mollification regularization. (English) Zbl 07799932 Asymptotic Anal. 136, No. 1, 61-77 (2024). MSC: 65M70 65M12 65M15 65D32 33C45 35B65 26A33 35R11 34A08 34B24 35R60 PDFBibTeX XMLCite \textit{W. Zhang} et al., Asymptotic Anal. 136, No. 1, 61--77 (2024; Zbl 07799932) Full Text: DOI
An, Congpei; Wu, Hao-Ning Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere. (English) Zbl 07799846 J. Complexity 80, Article ID 101789, 23 p. (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65D32 41A10 41A55 42C10 33C55 PDFBibTeX XMLCite \textit{C. An} and \textit{H.-N. Wu}, J. Complexity 80, Article ID 101789, 23 p. (2024; Zbl 07799846) Full Text: DOI arXiv
Kutsenko, Anton; Danilov, Sergey; Juricke, Stephan; Oliver, Marcel On the relation between Fourier and Walsh-Rademacher spectra for random fields. (English) Zbl 07796951 Appl. Comput. Harmon. Anal. 68, Article ID 101603, 18 p. (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65T50 42C10 PDFBibTeX XMLCite \textit{A. Kutsenko} et al., Appl. Comput. Harmon. Anal. 68, Article ID 101603, 18 p. (2024; Zbl 07796951) Full Text: DOI
Barary, Zeinab; Cherati, AllahBakhsh Yazdani; Nemati, Somayeh An efficient numerical scheme for solving a general class of fractional differential equations via fractional-order hybrid Jacobi functions. (English) Zbl 07784256 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107599, 14 p. (2024). MSC: 65N35 65N15 41A50 33C45 65F05 74F10 74K20 35Q74 35R11 PDFBibTeX XMLCite \textit{Z. Barary} et al., Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107599, 14 p. (2024; Zbl 07784256) Full Text: DOI
Costabile, Francesco Aldo; Gualtieri, Maria Italia; Napoli, Anna Polynomial sequences. Basic methods, special classes, and computational applications. (English) Zbl 07762369 De Gruyter Studies in Mathematics 96. Berlin: De Gruyter (ISBN 978-3-11-075723-1/hbk; 978-3-11-075724-8/ebook). xvii, 506 p. (2024). MSC: 41-01 33-01 11-01 65-01 41A10 41A15 11B68 11B83 33C45 65Dxx PDFBibTeX XMLCite \textit{F. A. Costabile} et al., Polynomial sequences. Basic methods, special classes, and computational applications. Berlin: De Gruyter (2024; Zbl 07762369) Full Text: DOI
Djukić, Dušan Lj. Orthogonal polynomials with respect to the Abel weight. (English) Zbl 1522.65031 J. Comput. Appl. Math. 437, Article ID 115485, 11 p. (2024). MSC: 65D30 33C47 65D32 PDFBibTeX XMLCite \textit{D. Lj. Djukić}, J. Comput. Appl. Math. 437, Article ID 115485, 11 p. (2024; Zbl 1522.65031) Full Text: DOI
Milovanović, Gradimir V.; Stanić, Marija P.; Tomović Mladenović, Tatjana V. Gaussian type quadrature rules related to the oscillatory modification of the generalized Laguerre weight functions. (English) Zbl 1522.65033 J. Comput. Appl. Math. 437, Article ID 115476, 8 p. (2024). MSC: 65D30 65D32 41A55 42C05 33C47 PDFBibTeX XMLCite \textit{G. V. Milovanović} et al., J. Comput. Appl. Math. 437, Article ID 115476, 8 p. (2024; Zbl 1522.65033) Full Text: DOI
Di Nardo, Elvira; D’Onofrio, Giuseppe; Martini, Tommaso Orthogonal gamma-based expansion for the CIR’s first passage time distribution. arXiv:2402.00833 Preprint, arXiv:2402.00833 [math.PR] (2024). MSC: 65C20 60G07 62E17 42C10 60-08 BibTeX Cite \textit{E. Di Nardo} et al., ``Orthogonal gamma-based expansion for the CIR's first passage time distribution'', Preprint, arXiv:2402.00833 [math.PR] (2024) Full Text: arXiv OA License
Chen, Yuan; Xiu, Dongbin; Zhang, Xiangxiong On enforcing non-negativity in polynomial approximations in high dimensions. arXiv:2401.12415 Preprint, arXiv:2401.12415 [math.NA] (2024). MSC: 42C05 41A10 65K10 90C25 BibTeX Cite \textit{Y. Chen} et al., ``On enforcing non-negativity in polynomial approximations in high dimensions'', Preprint, arXiv:2401.12415 [math.NA] (2024) Full Text: arXiv OA License
Trogdon, Thomas The ultraspherical rectangular collocation method and its convergence. arXiv:2401.03608 Preprint, arXiv:2401.03608 [math.NA] (2024). MSC: 65M70 65L10 33C45 BibTeX Cite \textit{T. Trogdon}, ``The ultraspherical rectangular collocation method and its convergence'', Preprint, arXiv:2401.03608 [math.NA] (2024) Full Text: arXiv OA License
Gu, Dong-Qin; Wang, Zhong-Qing; Zhang, Chao New rational interpolation basis functions on the unbounded intervals and their applications. (English) Zbl 07814764 Numer. Math., Theory Methods Appl. 16, No. 2, 453-488 (2023). MSC: 65M70 33C45 30C15 65N35 41A05 PDFBibTeX XMLCite \textit{D.-Q. Gu} et al., Numer. Math., Theory Methods Appl. 16, No. 2, 453--488 (2023; Zbl 07814764) Full Text: DOI
Rhee, Noah Constructing orthogonal polynomials. (English) Zbl 07803495 Missouri J. Math. Sci. 35, No. 2, 242-247 (2023). MSC: 33D45 34A05 42C05 65F15 PDFBibTeX XMLCite \textit{N. Rhee}, Missouri J. Math. Sci. 35, No. 2, 242--247 (2023; Zbl 07803495) 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
Ait-Haddou, Rachid; Alselami, Hoda The Stenger conjectures and the \(A\)-stability of collocation Runge-Kutta methods. (English) Zbl 07781464 J. Inequal. Appl. 2023, Paper No. 107, 18 p. (2023). MSC: 65L06 65L20 33C45 PDFBibTeX XMLCite \textit{R. Ait-Haddou} and \textit{H. Alselami}, J. Inequal. Appl. 2023, Paper No. 107, 18 p. (2023; Zbl 07781464) Full Text: DOI
Saldır, Onur; Giyas Sakar, Mehmet An effective approach for numerical solution of linear and nonlinear singular boundary value problems. (English) Zbl 1527.65059 Math. Methods Appl. Sci. 46, No. 1, 1395-1410 (2023). MSC: 65L10 34B16 42C10 47B32 PDFBibTeX XMLCite \textit{O. Saldır} and \textit{M. Giyas Sakar}, Math. Methods Appl. Sci. 46, No. 1, 1395--1410 (2023; Zbl 1527.65059) Full Text: DOI
Arora, S.; Bala, I. Numerical study of sine-Gordon equations using Bessel collocation method. (English) Zbl 07780471 Iran. J. Numer. Anal. Optim. 13, No. 4, 728-746 (2023). MSC: 65M70 35L10 PDFBibTeX XMLCite \textit{S. Arora} and \textit{I. Bala}, Iran. J. Numer. Anal. Optim. 13, No. 4, 728--746 (2023; Zbl 07780471) Full Text: DOI
Shojaeizadeh, T.; Darehmiraki, M. An optimal control approach for solving an inverse heat source problem applying shifted Legendre polynomials. (English) Zbl 07780459 Iran. J. Numer. Anal. Optim. 13, No. 3, 460-480 (2023). MSC: 65K10 34A55 33C50 PDFBibTeX XMLCite \textit{T. Shojaeizadeh} and \textit{M. Darehmiraki}, Iran. J. Numer. Anal. Optim. 13, No. 3, 460--480 (2023; Zbl 07780459) Full Text: DOI
Sadri, Khadijeh; Hosseini, Kamyar; Hinçal, Evren; Baleanu, Dumitru; Salahshour, Soheil A pseudo-operational collocation method for variable-order time-space fractional KdV-Burgers-Kuramoto equation. (English) Zbl 07780238 Math. Methods Appl. Sci. 46, No. 8, 8759-8778 (2023). MSC: 65M70 33C45 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{K. Sadri} et al., Math. Methods Appl. Sci. 46, No. 8, 8759--8778 (2023; Zbl 07780238) Full Text: DOI
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
Ahmed, Hoda F.; Melad, Marina B. A new numerical strategy for solving nonlinear singular Emden-Fowler delay differential models with variable order. (English) Zbl 1527.65051 Math. Sci., Springer 17, No. 4, 399-413 (2023). MSC: 65L03 33C45 65L60 PDFBibTeX XMLCite \textit{H. F. Ahmed} and \textit{M. B. Melad}, Math. Sci., Springer 17, No. 4, 399--413 (2023; Zbl 1527.65051) Full Text: DOI OA License
Bartel, Felix Error guarantees for least squares approximation with noisy samples in domain adaptation. (English) Zbl 07771610 SMAI J. Comput. Math. 9, 95-120 (2023). MSC: 65-XX 41A10 41A25 41A60 41A63 42C10 65Txx 65F22 65D15 94A20 PDFBibTeX XMLCite \textit{F. Bartel}, SMAI J. Comput. Math. 9, 95--120 (2023; Zbl 07771610) Full Text: DOI arXiv
Denich, Eleonora; Novati, Paolo Gaussian rule for integrals involving Bessel functions. (English) Zbl 07771236 BIT 63, No. 4, Paper No. 53, 25 p. (2023). MSC: 33C10 33C45 41A55 65D32 65F08 PDFBibTeX XMLCite \textit{E. Denich} and \textit{P. Novati}, BIT 63, No. 4, Paper No. 53, 25 p. (2023; Zbl 07771236) 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
Abd-Elhameed, W. M.; Ali, Afnan; Youssri, Y. H. Newfangled linearization formula of certain nonsymmetric Jacobi polynomials: numerical treatment of nonlinear Fisher’s equation. (English) Zbl 07764941 J. Funct. Spaces 2023, Article ID 6833404, 16 p. (2023). MSC: 65M70 33C45 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} et al., J. Funct. Spaces 2023, Article ID 6833404, 16 p. (2023; Zbl 07764941) Full Text: DOI
Li, Buyang; Lin, Yanping; Ma, Shu; Rao, Qiqi An exponential spectral method using VP means for semilinear subdiffusion equations with rough data. (English) Zbl 07754853 SIAM J. Numer. Anal. 61, No. 5, 2305-2326 (2023). MSC: 65M70 65M06 65N35 65D30 65D32 65M12 65M15 35K55 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{B. Li} et al., SIAM J. Numer. Anal. 61, No. 5, 2305--2326 (2023; Zbl 07754853) Full Text: DOI
Ahmed, H. M. Numerical solutions of high-order differential equations with polynomial coefficients using a Bernstein polynomial basis. (English) Zbl 1522.65129 Mediterr. J. Math. 20, No. 6, Paper No. 303, 31 p. (2023). MSC: 65L10 65L05 65L60 42C10 34L30 PDFBibTeX XMLCite \textit{H. M. Ahmed}, Mediterr. J. Math. 20, No. 6, Paper No. 303, 31 p. (2023; Zbl 1522.65129) Full Text: DOI OA License
Liu, Jingfei; Jiang, Chao Surrogate modeling for high dimensional uncertainty propagation via deep kernel polynomial chaos expansion. (English) Zbl 1525.68134 Appl. Math. Modelling 122, 167-186 (2023). MSC: 68T07 33C45 65C20 PDFBibTeX XMLCite \textit{J. Liu} and \textit{C. Jiang}, Appl. Math. Modelling 122, 167--186 (2023; Zbl 1525.68134) Full Text: DOI
Wan, Jianjun; Dai, Guozheng; Chen, Shaochun; Dong, Wen; Song, Shicang Error estimation of anisotropic interpolation for serendipity elements of arbitrary degree. (English) Zbl 07748290 Appl. Math. Comput. 459, Article ID 128272, 16 p. (2023). MSC: 65D17 PDFBibTeX XMLCite \textit{J. Wan} et al., Appl. Math. Comput. 459, Article ID 128272, 16 p. (2023; Zbl 07748290) Full Text: DOI
Marshall, Nicholas F.; Mickelin, Oscar; Singer, Amit Fast expansion into harmonics on the disk: a steerable basis with fast radial convolutions. (English) Zbl 1523.65102 SIAM J. Sci. Comput. 45, No. 5, A2431-A2457 (2023). MSC: 65R10 33C10 42C10 42-04 65D18 PDFBibTeX XMLCite \textit{N. F. Marshall} et al., SIAM J. Sci. Comput. 45, No. 5, A2431--A2457 (2023; Zbl 1523.65102) Full Text: DOI arXiv
Díaz, P.; Mainar, E.; Rubio, B. Polynomial total positivity and high relative accuracy through Schur polynomials. (English) Zbl 07742009 J. Sci. Comput. 97, No. 1, Paper No. 10, 27 p. (2023). MSC: 65Fxx 15Axx 15Bxx PDFBibTeX XMLCite \textit{P. Díaz} et al., J. Sci. Comput. 97, No. 1, Paper No. 10, 27 p. (2023; Zbl 07742009) Full Text: DOI
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: 41A65 42B05 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
Verma, Manuj; Priyadarshi, Amit Dimensions of new fractal functions and associated measures. (English) Zbl 07736710 Numer. Algorithms 94, No. 2, 817-846 (2023). MSC: 65-XX 28A80 33C47 41A30 PDFBibTeX XMLCite \textit{M. Verma} and \textit{A. Priyadarshi}, Numer. Algorithms 94, No. 2, 817--846 (2023; Zbl 07736710) Full Text: DOI
Nebioglu, Burak; Iliev, Alexander I. Higher order orthogonal polynomials as activation functions in artificial neural networks. (English) Zbl 07732163 Serdica J. Comput. 17, No. 1, 1-16 (2023). MSC: 68T07 33C45 65D20 PDFBibTeX XMLCite \textit{B. Nebioglu} and \textit{A. I. Iliev}, Serdica J. Comput. 17, No. 1, 1--16 (2023; Zbl 07732163) Full Text: DOI
Khubezhty, Shalva Solomonovich Quadrature formula of the highest algebraic degree of accuracy containing predefined nods. (Russian. English summary) Zbl 07720914 Vladikavkaz. Mat. Zh. 25, No. 1, 131-140 (2023). MSC: 65R10 65R20 PDFBibTeX XMLCite \textit{S. S. Khubezhty}, Vladikavkaz. Mat. Zh. 25, No. 1, 131--140 (2023; Zbl 07720914) Full Text: DOI MNR
Yang, Xiu; Wang, Li-Lian; Li, Huiyuan; Sheng, Changtao Müntz ball polynomials and Müntz spectral-Galerkin methods for singular eigenvalue problems. (English) Zbl 07720242 J. Sci. Comput. 96, No. 2, Paper No. 59, 25 p. (2023). MSC: 33C90 33C45 33C55 65N25 65N30 42C05 47A75 35Q40 PDFBibTeX XMLCite \textit{X. Yang} et al., J. Sci. Comput. 96, No. 2, Paper No. 59, 25 p. (2023; Zbl 07720242) Full Text: DOI arXiv
Shao, Xinping; Yang, Liupan; Guo, Anqi A feedforward neural network based on Legendre polynomial for solving linear Fredholm integro-differential equations. (English) Zbl 07716404 Int. J. Comput. Math. 100, No. 7, 1480-1499 (2023). MSC: 45J05 33C45 65D15 PDFBibTeX XMLCite \textit{X. Shao} et al., Int. J. Comput. Math. 100, No. 7, 1480--1499 (2023; Zbl 07716404) Full Text: DOI
Opsomer, Peter; Huybrechs, Daan High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions. (English) Zbl 1517.65018 J. Comput. Appl. Math. 434, Article ID 115317, 22 p. (2023). MSC: 65D32 42C05 PDFBibTeX XMLCite \textit{P. Opsomer} and \textit{D. Huybrechs}, J. Comput. Appl. Math. 434, Article ID 115317, 22 p. (2023; Zbl 1517.65018) Full Text: DOI arXiv
Bessemoulin-Chatard, Marianne; Filbet, Francis On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. (English) Zbl 1519.65043 SIAM J. Numer. Anal. 61, No. 4, 1664-1688 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M70 65N35 65N12 65N15 82C40 82D10 35A01 35A02 35R09 33C45 35Q60 35Q83 PDFBibTeX XMLCite \textit{M. Bessemoulin-Chatard} and \textit{F. Filbet}, SIAM J. Numer. Anal. 61, No. 4, 1664--1688 (2023; Zbl 1519.65043) Full Text: DOI arXiv
Hamid, M.; Usman, M.; Tian, Zhenfu Computational analysis for fractional characterization of coupled convection-diffusion equations arising in MHD flows. (English) Zbl 1515.33009 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 4, 669-692 (2023). MSC: 33C45 35K57 65M70 76W05 PDFBibTeX XMLCite \textit{M. Hamid} et al., AMM, Appl. Math. Mech., Engl. Ed. 44, No. 4, 669--692 (2023; Zbl 1515.33009) Full Text: DOI
Breden, Maxime A posteriori validation of generalized polynomial chaos expansions. (English) Zbl 07712414 SIAM J. Appl. Dyn. Syst. 22, No. 2, 765-801 (2023). MSC: 37M21 34F05 42C05 41A58 60H35 65P20 65P30 PDFBibTeX XMLCite \textit{M. Breden}, SIAM J. Appl. Dyn. Syst. 22, No. 2, 765--801 (2023; Zbl 07712414) Full Text: DOI arXiv
Nagy-Csiha, Zsuzsanna; Pap, Margit; Weisz, Ferenc Construction of rational interpolations using Mamquist-Takenaka systems. (English) Zbl 1524.42052 Constr. Math. Anal. 6, No. 1, 55-76 (2023). MSC: 42C05 30H10 30J10 31C20 65D05 65D25 PDFBibTeX XMLCite \textit{Z. Nagy-Csiha} et al., Constr. Math. Anal. 6, No. 1, 55--76 (2023; Zbl 1524.42052) Full Text: DOI
Kaplan, Ayse Gul; Ablay, Mulla Veli Numerical solution of boundary value problem for the Bagley-Torvik equation using Hermite collocation method. (English) Zbl 1514.65094 Ann. Math. Sci. Appl. 8, No. 1, 157-173 (2023). MSC: 65L60 33C45 34A08 34B05 65L10 PDFBibTeX XMLCite \textit{A. G. Kaplan} and \textit{M. V. Ablay}, Ann. Math. Sci. Appl. 8, No. 1, 157--173 (2023; Zbl 1514.65094) Full Text: DOI
Wang, Chuan; Wang, Tian-jun A multi-domain Galerkin method with numerical integration for the Burgers equation. (English) Zbl 1524.65688 Int. J. Comput. Math. 100, No. 5, 927-947 (2023). MSC: 65M70 41A30 35K55 35Q35 65M60 65D05 33C45 42C10 65M06 65N35 65N30 PDFBibTeX XMLCite \textit{C. Wang} and \textit{T.-j. Wang}, Int. J. Comput. Math. 100, No. 5, 927--947 (2023; Zbl 1524.65688) Full Text: DOI
Wang, Zhao-Hong; Jiang, Yao-Lin; Xu, Kang-Li Reduced-order state-space models for two-dimensional discrete systems via bivariate discrete orthogonal polynomials. (English) Zbl 07704444 Math. Comput. Simul. 212, 441-456 (2023). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{Z.-H. Wang} et al., Math. Comput. Simul. 212, 441--456 (2023; Zbl 07704444) Full Text: DOI
Ross, I. M.; Proulx, R. J.; Borges, C. F. A universal Birkhoff pseudospectral method for solving boundary value problems. (English) Zbl 07704188 Appl. Math. Comput. 454, Article ID 128101, 17 p. (2023). MSC: 41A05 33C45 65L10 65N35 41A10 PDFBibTeX XMLCite \textit{I. M. Ross} et al., Appl. Math. Comput. 454, Article ID 128101, 17 p. (2023; Zbl 07704188) Full Text: DOI
Hatano, Yasuyo; Yamamoto, Shigeyoshi AIHFLTF: integrals in Laguerre function bases for electronic structure calculations in atoms. (English) Zbl 1525.81048 Comput. Phys. Commun. 284, Article ID 108623, 10 p. (2023). MSC: 81V45 78A35 65D32 33C45 81P55 30H20 47A10 81-08 PDFBibTeX XMLCite \textit{Y. Hatano} and \textit{S. Yamamoto}, Comput. Phys. Commun. 284, Article ID 108623, 10 p. (2023; Zbl 1525.81048) Full Text: DOI
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong Analysis and Petrov-Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations. (English) Zbl 1514.65182 J. Comput. Appl. Math. 425, Article ID 115033, 15 p. (2023). MSC: 65N30 35B65 41A10 33C45 PDFBibTeX XMLCite \textit{X. Zheng} et al., J. Comput. Appl. Math. 425, Article ID 115033, 15 p. (2023; Zbl 1514.65182) Full Text: DOI arXiv
Talib, Imran; Bohner, Martin Numerical study of generalized modified Caputo fractional differential equations. (English) Zbl 1524.65298 Int. J. Comput. Math. 100, No. 1, 153-176 (2023). MSC: 65L60 34A08 PDFBibTeX XMLCite \textit{I. Talib} and \textit{M. Bohner}, Int. J. Comput. Math. 100, No. 1, 153--176 (2023; Zbl 1524.65298) Full Text: DOI
Wang, Zhongqing; Wen, Xian; Yao, Guoqing An efficient spectral-Galerkin method for elliptic equations in 2D complex geometries. (English) Zbl 1516.65147 J. Sci. Comput. 95, No. 3, Paper No. 89, 26 p. (2023). MSC: 65N35 41A30 41A25 42C10 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Sci. Comput. 95, No. 3, Paper No. 89, 26 p. (2023; Zbl 1516.65147) Full Text: DOI
Ling, Dan; Mao, Zhiping Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics. (English) Zbl 1516.65107 J. Sci. Comput. 95, No. 2, Paper No. 51, 23 p. (2023). MSC: 65M70 65M06 65L06 65N35 65M12 65M15 35A01 35A02 35B65 33C45 86A15 35Q86 PDFBibTeX XMLCite \textit{D. Ling} and \textit{Z. Mao}, J. Sci. Comput. 95, No. 2, Paper No. 51, 23 p. (2023; Zbl 1516.65107) Full Text: DOI arXiv
Li, Lin; Wang, Li-Lian; Li, Huiyuan An efficient spectral trust-region deflation method for multiple solutions. (English) Zbl 1516.65146 J. Sci. Comput. 95, No. 1, Paper No. 32, 23 p. (2023). MSC: 65N35 65N22 65H10 65D05 65L10 42C10 PDFBibTeX XMLCite \textit{L. Li} et al., J. Sci. Comput. 95, No. 1, Paper No. 32, 23 p. (2023; Zbl 1516.65146) Full Text: DOI arXiv
Dick, Josef; Ehler, Martin; Gräf, Manuel; Krattenthaler, Christian Spectral decomposition of discrepancy kernels on the Euclidean ball, the special orthogonal group, and the Grassmannian manifold. (English) Zbl 07698576 Constr. Approx. 57, No. 3, 983-1026 (2023). MSC: 65T40 65T50 42C10 42B10 43A65 43A85 60B10 PDFBibTeX XMLCite \textit{J. Dick} et al., Constr. Approx. 57, No. 3, 983--1026 (2023; Zbl 07698576) Full Text: DOI arXiv
Doliwa, Adam; Siemaszko, Artur Hermite-Padé approximation and integrability. (English) Zbl 1519.41005 J. Approx. Theory 292, Article ID 105910, 23 p. (2023). Reviewer: Adhemar Bultheel (Leuven) MSC: 41A21 37N30 37K20 37K60 42C05 51A20 65Q30 PDFBibTeX XMLCite \textit{A. Doliwa} and \textit{A. Siemaszko}, J. Approx. Theory 292, Article ID 105910, 23 p. (2023; Zbl 1519.41005) Full Text: DOI arXiv
Kazashi, Yoshihito; Suzuki, Yuya; Goda, Takashi Suboptimality of Gauss-Hermite quadrature and optimality of the trapezoidal rule for functions with finite smoothness. (English) Zbl 1516.65018 SIAM J. Numer. Anal. 61, No. 3, 1426-1448 (2023). MSC: 65D30 65D32 65Y20 33C45 PDFBibTeX XMLCite \textit{Y. Kazashi} et al., SIAM J. Numer. Anal. 61, No. 3, 1426--1448 (2023; Zbl 1516.65018) Full Text: DOI arXiv
Doostdar, M. R.; Vahidi, A. R.; Damercheli, T.; Babolian, E. A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD\(4^+\) T cells. (English) Zbl 07695268 Math. Sci., Springer 17, No. 2, 157-167 (2023). MSC: 65-XX 26A33 34A08 34A34 33C45 PDFBibTeX XMLCite \textit{M. R. Doostdar} et al., Math. Sci., Springer 17, No. 2, 157--167 (2023; Zbl 07695268) Full Text: DOI
Kar, Pinaki Prasad; Gochhayat, Priyabrat Interlacing and bounds of zeros of quasi-orthogonal little \(q\)-Jacobi polynomials. (English) Zbl 07694963 Numer. Algorithms 93, No. 3, 1157-1170 (2023). MSC: 65-XX 33C45 33D15 33D45 PDFBibTeX XMLCite \textit{P. P. Kar} and \textit{P. Gochhayat}, Numer. Algorithms 93, No. 3, 1157--1170 (2023; Zbl 07694963) Full Text: DOI
Abouir, Jilali; Benouahmane, Brahim; Chakir, Yassine Rational symbolic cubature rules over the first quadrant in a Cartesian plane. (English) Zbl 1524.41078 ETNA, Electron. Trans. Numer. Anal. 58, 432-449 (2023). MSC: 41A55 41A21 65D32 PDFBibTeX XMLCite \textit{J. Abouir} et al., ETNA, Electron. Trans. Numer. Anal. 58, 432--449 (2023; Zbl 1524.41078) Full Text: DOI Link
De Bonis, Maria Carmela; Mennouni, Abdelaziz; Occorsio, Donatella A numerical method for solving systems of hypersingular integro-differential equations. (English) Zbl 07693756 ETNA, Electron. Trans. Numer. Anal. 58, 378-393 (2023). MSC: 65-XX 41A10 65D05 33C45 45J05 PDFBibTeX XMLCite \textit{M. C. De Bonis} et al., ETNA, Electron. Trans. Numer. Anal. 58, 378--393 (2023; Zbl 07693756) Full Text: DOI Link
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
Lulek, T.; Stagraczyński, R.; Łabuz, M. Separation of spherically and translationally covariant finite quantum spaces within the XXX model. (English) Zbl 1523.81044 Nucl. Phys., B 991, Article ID 116215, 40 p. (2023). MSC: 81P68 82B20 81T32 40G10 65T60 33C50 82D40 81P16 82B23 PDFBibTeX XMLCite \textit{T. Lulek} et al., Nucl. Phys., B 991, Article ID 116215, 40 p. (2023; Zbl 1523.81044) Full Text: DOI
Izadi, Mohammad; Yüzbaşı, Şuayip; Cattani, Carlo Approximating solutions to fractional-order Bagley-Torvik equation via generalized Bessel polynomial on large domains. (English) Zbl 1516.65055 Ric. Mat. 72, No. 1, 235-261 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65L10 26A33 65L60 42C05 65L05 PDFBibTeX XMLCite \textit{M. Izadi} et al., Ric. Mat. 72, No. 1, 235--261 (2023; Zbl 1516.65055) Full Text: DOI
Alsuyuti, M. M.; Doha, E. H.; Bayoumi, B. I.; Ezz-Eldien, S. S. Robust spectral treatment for time-fractional delay partial differential equations. (English) Zbl 1524.42054 Comput. Appl. Math. 42, No. 4, Paper No. 159, 20 p. (2023). MSC: 42C10 35C10 65N35 65M70 PDFBibTeX XMLCite \textit{M. M. Alsuyuti} et al., Comput. Appl. Math. 42, No. 4, Paper No. 159, 20 p. (2023; Zbl 1524.42054) Full Text: DOI
Zhang, Juan; Song, Jiabin; Chen, Huanzhen A priori error estimates for spectral Galerkin approximations of integral state-constrained fractional optimal control problems. (English) Zbl 1524.65902 Adv. Appl. Math. Mech. 15, No. 3, 568-582 (2023). MSC: 65N35 65N15 49J20 35R11 26A33 33C45 65K10 49K20 65N30 PDFBibTeX XMLCite \textit{J. Zhang} et al., Adv. Appl. Math. Mech. 15, No. 3, 568--582 (2023; Zbl 1524.65902) Full Text: DOI
Vasconcelos, P. B.; Roman, J. E.; Matos, J. M. A. Solving differential eigenproblems via the spectral Tau method. (English) Zbl 07676502 Numer. Algorithms 92, No. 3, 1789-1811 (2023). MSC: 65L15 65L60 65F15 33C45 34B24 PDFBibTeX XMLCite \textit{P. B. Vasconcelos} et al., Numer. Algorithms 92, No. 3, 1789--1811 (2023; Zbl 07676502) Full Text: DOI
Wen, Xian; Yu, Xuhong; Wang, Zhongqing A Legendre dual-Petrov-Galerkin spectral element method for the Kawahara-type equations. (English) Zbl 1511.65111 Discrete Contin. Dyn. Syst., Ser. B 28, No. 6, 3349-3372 (2023). MSC: 65M70 65M60 65M06 65N35 65N30 76B25 76B15 37K06 35C08 42C10 46E35 35Q35 35Q53 PDFBibTeX XMLCite \textit{X. Wen} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 6, 3349--3372 (2023; Zbl 1511.65111) Full Text: DOI
Xie, Huantian; Zhang, Zhaozhong; Jiang, Ziwu; Zhou, Jianwei Novel method of particular solutions for second-order variable coefficient differential equations on a square. (English) Zbl 07675810 Discrete Contin. Dyn. Syst., Ser. B 28, No. 5, 3294-3306 (2023). MSC: 65N75 65N85 42C10 65N12 65N15 35B40 35B65 35A01 35A02 PDFBibTeX XMLCite \textit{H. Xie} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 5, 3294--3306 (2023; Zbl 07675810) Full Text: DOI
Veronese, Daniel O.; Silva, Jairo S.; Pereira, Junior A. Quasi-symmetric orthogonal polynomials on the real line: moments, quadrature rules and invariance under Christoffel modifications. (English) Zbl 1524.42053 Comput. Appl. Math. 42, No. 3, Paper No. 123, 22 p. (2023). MSC: 42C05 41A55 65D32 PDFBibTeX XMLCite \textit{D. O. Veronese} et al., Comput. Appl. Math. 42, No. 3, Paper No. 123, 22 p. (2023; Zbl 1524.42053) Full Text: DOI
Chen, Sheng; Shen, Jie Log orthogonal functions in semi-infinite intervals: approximation results and applications. (English) Zbl 1512.65278 SIAM J. Numer. Anal. 61, No. 1, 110-134 (2023). MSC: 65N35 65E05 65M70 41A05 41A10 41A25 33C45 PDFBibTeX XMLCite \textit{S. Chen} and \textit{J. Shen}, SIAM J. Numer. Anal. 61, No. 1, 110--134 (2023; Zbl 1512.65278) Full Text: DOI
Golubović, Zora Lj.; Milovanović, Gradimir V. Quadrature processes for efficient calculation of the Clausen functions. (English) Zbl 1516.65016 BIT 63, No. 1, Paper No. 10, 20 p. (2023). MSC: 65D30 65D32 41A55 33C45 PDFBibTeX XMLCite \textit{Z. Lj. Golubović} and \textit{G. V. Milovanović}, BIT 63, No. 1, Paper No. 10, 20 p. (2023; Zbl 1516.65016) Full Text: DOI
Yu, Xuhong; Wang, Zhongqing Spectral methods in space and time for parabolic problems on semi-infinite domains. (English) Zbl 1510.35134 Calcolo 60, No. 1, Paper No. 17, 25 p. (2023). MSC: 35K20 65M70 42C10 41A20 PDFBibTeX XMLCite \textit{X. Yu} and \textit{Z. Wang}, Calcolo 60, No. 1, Paper No. 17, 25 p. (2023; Zbl 1510.35134) Full Text: DOI
Goda, Takashi; Suzuki, Kosuke Improved bounds on the gain coefficients for digital nets in prime power base. (English) Zbl 1518.65005 J. Complexity 76, Article ID 101722, 15 p. (2023). MSC: 65C05 65D30 42C10 43A40 PDFBibTeX XMLCite \textit{T. Goda} and \textit{K. Suzuki}, J. Complexity 76, Article ID 101722, 15 p. (2023; Zbl 1518.65005) Full Text: DOI arXiv
Youssri, Youssri Hassan; Sayed, Shahenda; Mohamed, Amany Saad; Aboeldahab, Emad; Abd-Elhameed, Waleed Mohamed Modified Lucas polynomials for the numerical treatment of second-order boundary value problems. (English) Zbl 1524.65692 Comput. Methods Differ. Equ. 11, No. 1, 12-31 (2023). MSC: 65M70 35L10 33C45 65M12 80A25 35Q79 65M60 65L60 11B39 PDFBibTeX XMLCite \textit{Y. H. Youssri} et al., Comput. Methods Differ. Equ. 11, No. 1, 12--31 (2023; Zbl 1524.65692) Full Text: DOI
Rashedi, Kamal Recovery of coefficients of a heat equation by Ritz collocation method. (English) Zbl 1509.65090 Kuwait J. Sci. 50, No. 2A, Article No. 7, 12 p. (2023). MSC: 65M32 65M30 65M70 65J20 65F22 35K05 35K20 42C10 35R25 35Q79 PDFBibTeX XMLCite \textit{K. Rashedi}, Kuwait J. Sci. 50, No. 2A, Article No. 7, 12 p. (2023; Zbl 1509.65090) Full Text: DOI
Yüzbaşi, Şuayip; Yildirim, Gamze Pell-Lucas collocation method for solving a class of second order nonlinear differential equations with variable delays. (English) Zbl 07662832 Turk. J. Math. 47, No. 1, 37-55 (2023). MSC: 65-XX 33C47 34A34 65L05 65L60 65L70 65Q20 PDFBibTeX XMLCite \textit{Ş. Yüzbaşi} and \textit{G. Yildirim}, Turk. J. Math. 47, No. 1, 37--55 (2023; Zbl 07662832) Full Text: DOI
Feng, Renzhong; Huang, Aitong; Lai, Ming-Jun; Shen, Zhaiming Reconstruction of sparse polynomials via quasi-orthogonal matching pursuit method. (English) Zbl 07661619 J. Comput. Math. 41, No. 1, 18-38 (2023). MSC: 65-XX 41A10 41A05 65D15 PDFBibTeX XMLCite \textit{R. Feng} et al., J. Comput. Math. 41, No. 1, 18--38 (2023; Zbl 07661619) Full Text: DOI
Wang, Zhao-Hong; Jiang, Yao-Lin; Xu, Kang-Li Reduced-order modeling methods via bivariate discrete orthogonal polynomials for two-dimensional discrete state-delayed systems. (English) Zbl 1520.93063 Multidimensional Syst. Signal Process. 34, No. 1, 227-248 (2023). MSC: 93B11 65M70 PDFBibTeX XMLCite \textit{Z.-H. Wang} et al., Multidimensional Syst. Signal Process. 34, No. 1, 227--248 (2023; Zbl 1520.93063) Full Text: DOI
Rutka, Przemysław; Smarzewski, Ryszard The electrostatic equilibrium problem for classical discrete orthogonal polynomials. (English) Zbl 1505.65146 Math. Comput. 92, No. 341, 1331-1348 (2023). MSC: 65D20 41A10 33D45 PDFBibTeX XMLCite \textit{P. Rutka} and \textit{R. Smarzewski}, Math. Comput. 92, No. 341, 1331--1348 (2023; Zbl 1505.65146) Full Text: DOI
Sauter, Stefan; Torres, Céline On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D. (English) Zbl 1508.65160 Math. Comput. 92, No. 341, 1033-1059 (2023). MSC: 65N30 65N12 76D07 33C45 PDFBibTeX XMLCite \textit{S. Sauter} and \textit{C. Torres}, Math. Comput. 92, No. 341, 1033--1059 (2023; Zbl 1508.65160) Full Text: DOI arXiv
Fasondini, Marco; Olver, Sheehan; Xu, Yuan Orthogonal polynomials on planar cubic curves. (English) Zbl 1523.33005 Found. Comput. Math. 23, No. 1, 1-31 (2023). Reviewer: Francisco Marcellán (Leganes) MSC: 33C50 42C05 42C10 65M70 PDFBibTeX XMLCite \textit{M. Fasondini} et al., Found. Comput. Math. 23, No. 1, 1--31 (2023; Zbl 1523.33005) Full Text: DOI arXiv
Glaubitz, Jan; Reeger, Jonah A. Towards stability results for global radial basis function based quadrature formulas. (English) Zbl 1508.65015 BIT 63, No. 1, Paper No. 6, 34 p. (2023). MSC: 65D30 65D12 65D32 PDFBibTeX XMLCite \textit{J. Glaubitz} and \textit{J. A. Reeger}, BIT 63, No. 1, Paper No. 6, 34 p. (2023; Zbl 1508.65015) Full Text: DOI arXiv
Ahmed, Hoda F.; Hashem, W. A. Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions. (English) Zbl 1508.65138 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107062, 16 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M70 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{H. F. Ahmed} and \textit{W. A. Hashem}, Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107062, 16 p. (2023; Zbl 1508.65138) Full Text: DOI
Kar, Pinaki Prasad; Jordaan, Kerstin; Gochhayat, Priyabrat Stieltjes interlacing of zeros of little \(q\)-Jacobi and \(q\)-Laguerre polynomials from different sequences. (English) Zbl 07644408 Numer. Algorithms 92, No. 1, 723-746 (2023). MSC: 65-XX 33D15 33D45 PDFBibTeX XMLCite \textit{P. P. Kar} et al., Numer. Algorithms 92, No. 1, 723--746 (2023; Zbl 07644408) Full Text: DOI
Doliwa, Adam; Siemaszko, Artur Integrability and geometry of the Wynn recurrence. (English) Zbl 07644402 Numer. Algorithms 92, No. 1, 571-596 (2023). MSC: 65-XX 41A21 37N30 37K20 37K60 65Q30 51A20 42C05 PDFBibTeX XMLCite \textit{A. Doliwa} and \textit{A. Siemaszko}, Numer. Algorithms 92, No. 1, 571--596 (2023; Zbl 07644402) Full Text: DOI arXiv
Bracciali, Cleonice F.; Piñar, Miguel A. On multivariate orthogonal polynomials and elementary symmetric functions. (English) Zbl 07644388 Numer. Algorithms 92, No. 1, 183-206 (2023). MSC: 65-XX 42C05 33C50 PDFBibTeX XMLCite \textit{C. F. Bracciali} and \textit{M. A. Piñar}, Numer. Algorithms 92, No. 1, 183--206 (2023; Zbl 07644388) Full Text: DOI
Abdelkawy, M. A.; Soluma, E. M.; Al-Dayel, Ibrahim; Baleanu, Dumitru Spectral solutions for a class of nonlinear wave equations with Riesz fractional based on Legendre collocation technique. (English) Zbl 1505.65271 J. Comput. Appl. Math. 423, Article ID 114970, 15 p. (2023). MSC: 65M70 65D32 42C10 74D10 74J30 35Q74 26A33 35R11 PDFBibTeX XMLCite \textit{M. A. Abdelkawy} et al., J. Comput. Appl. Math. 423, Article ID 114970, 15 p. (2023; Zbl 1505.65271) Full Text: DOI
Hao, Yajuan; Zhang, Meihua; Cui, Yuhuan; Cheng, Gang; Xie, Jiaquan; Chen, Yiming Dynamic analysis of variable fractional order cantilever beam based on shifted Legendre polynomials algorithm. (English) Zbl 1505.65274 J. Comput. Appl. Math. 423, Article ID 114952, 13 p. (2023). MSC: 65M70 42C10 65K10 65M12 74K10 74B20 74D10 74H45 35Q74 26A33 35R11 PDFBibTeX XMLCite \textit{Y. Hao} et al., J. Comput. Appl. Math. 423, Article ID 114952, 13 p. (2023; Zbl 1505.65274) Full Text: DOI
Huang, Juntao; Cheng, Yingda; Christlieb, Andrew J.; Roberts, Luke F. Machine learning moment closure models for the radiative transfer equation. III: enforcing hyperbolicity and physical characteristic speeds. (English) Zbl 1504.65237 J. Sci. Comput. 94, No. 1, Paper No. 7, 27 p. (2023). MSC: 65N06 65L06 68T07 80A21 42C10 15A18 65H04 35Q20 PDFBibTeX XMLCite \textit{J. Huang} et al., J. Sci. Comput. 94, No. 1, Paper No. 7, 27 p. (2023; Zbl 1504.65237) Full Text: DOI arXiv
Du, Shaohong; Cheng, Yongping; Li, Mingjun High order spline finite element method for the fourth-order parabolic equations. (English) Zbl 1505.65262 Appl. Numer. Math. 184, 496-511 (2023). MSC: 65M60 65M06 65N30 65L06 65D07 65M12 65M15 33C45 35A15 35B35 35B65 35K35 74K10 74H45 35Q74 PDFBibTeX XMLCite \textit{S. Du} et al., Appl. Numer. Math. 184, 496--511 (2023; Zbl 1505.65262) Full Text: DOI
Faheem, Mo; Khan, Arshad A wavelet collocation method based on Gegenbauer scaling function for solving fourth-order time-fractional integro-differential equations with a weakly singular kernel. (English) Zbl 1508.65140 Appl. Numer. Math. 184, 197-218 (2023). Reviewer: Dana Černá (Liberec) MSC: 65M70 65T60 65M12 44A10 35R09 45K05 45E10 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{M. Faheem} and \textit{A. Khan}, Appl. Numer. Math. 184, 197--218 (2023; Zbl 1508.65140) Full Text: DOI
Chou, Tom; Shao, Sihong; Xia, Mingtao Adaptive Hermite spectral methods in unbounded domains. (English) Zbl 1500.65083 Appl. Numer. Math. 183, 201-220 (2023). MSC: 65M70 65M50 65D32 65M15 41A58 33C45 35P05 PDFBibTeX XMLCite \textit{T. Chou} et al., Appl. Numer. Math. 183, 201--220 (2023; Zbl 1500.65083) Full Text: DOI arXiv
Su, Xuetong; Yang, Jiabao; Yao, Huanmin Shifted Legendre reproducing kernel Galerkin method for the quasilinear degenerate parabolic problem. (English) Zbl 1502.65144 Appl. Math. Lett. 135, Article ID 108416, 9 p. (2023). MSC: 65M60 65M06 65N30 65M12 42C10 35K59 35K65 76A05 76W05 35Q35 PDFBibTeX XMLCite \textit{X. Su} et al., Appl. Math. Lett. 135, Article ID 108416, 9 p. (2023; Zbl 1502.65144) Full Text: DOI
Kinoshita, Takehiko; Watanabe, Yoshitaka; Yamamoto, Nobito; Nakao, Mitsuhiro T. Inclusion method of optimal constant with quadratic convergence for \(H_0^1\)-projection error estimates and its applications. (English) Zbl 1496.65221 J. Comput. Appl. Math. 417, Article ID 114521, 18 p. (2023). MSC: 65N30 33C45 42C05 47F05 65G20 65N15 PDFBibTeX XMLCite \textit{T. Kinoshita} et al., J. Comput. Appl. Math. 417, Article ID 114521, 18 p. (2023; Zbl 1496.65221) Full Text: DOI
Gao, Jing; Iserles, Arieh A framework for stable spectral methods in \(d\)-dimensional unit balls. arXiv:2312.13183 Preprint, arXiv:2312.13183 [math.NA] (2023). MSC: 65M70 42C05 BibTeX Cite \textit{J. Gao} and \textit{A. Iserles}, ``A framework for stable spectral methods in $d$-dimensional unit balls'', Preprint, arXiv:2312.13183 [math.NA] (2023) Full Text: arXiv OA License
Khoroshikh, E. D.; Kurbatov, V. G. An approximation of matrix exponential by a truncated Laguerre series. arXiv:2312.07291 Preprint, arXiv:2312.07291 [math.NA] (2023). MSC: 65F60 33C45 97N50 BibTeX Cite \textit{E. D. Khoroshikh} and \textit{V. G. Kurbatov}, ``An approximation of matrix exponential by a truncated Laguerre series'', Preprint, arXiv:2312.07291 [math.NA] (2023) Full Text: arXiv OA License
Ballew, Cade; Trogdon, Thomas The Akhiezer iteration. arXiv:2312.02384 Preprint, arXiv:2312.02384 [math.NA] (2023). MSC: 42C05 65E05 33C47 65F10 BibTeX Cite \textit{C. Ballew} and \textit{T. Trogdon}, ``The Akhiezer iteration'', Preprint, arXiv:2312.02384 [math.NA] (2023) Full Text: arXiv OA License
Xiao, Yuchen; Zhuang, Xiaosheng Spherical Designs for Function Approximation and Beyond. arXiv:2311.18333 Preprint, arXiv:2311.18333 [math.NA] (2023). MSC: 42C05 58C35 65K10 65D15 65D32 BibTeX Cite \textit{Y. Xiao} and \textit{X. Zhuang}, ``Spherical Designs for Function Approximation and Beyond'', Preprint, arXiv:2311.18333 [math.NA] (2023) Full Text: arXiv OA License