Gibbs, A.; Hewett, D. P.; Major, B. Numerical evaluation of singular integrals on non-disjoint self-similar fractal sets. (English) Zbl 07899578 Numer. Algorithms 97, No. 1, 311-343 (2024). MSC: 65-XX 65D30 28A80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Opschoor, Joost A. A.; Schwab, Christoph Deep ReLU networks and high-order finite element methods. II: Chebyšev emulation. (English) Zbl 07894795 Comput. Math. Appl. 169, 142-162 (2024). MSC: 65-XX 68-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zuk, Josef; Kirszenblat, David Analytic approach to the non-pre-emptive Markovian priority queue. (English) Zbl 1544.90063 Queueing Syst. 107, No. 1-2, 159-198 (2024). MSC: 90B22 60K25 60J74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marcellán, Francisco; Zurrián, Ignacio Bispectrality for matrix Laguerre-Sobolev polynomials. (English) Zbl 1542.42032 Linear Algebra Appl. 697, 131-145 (2024). MSC: 42C05 33C45 34L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Van Barel, Marc; Van Buggenhout, Niel; Vandebril, Raf Algorithms for modifying recurrence relations of orthogonal polynomial and rational functions when changing the discrete inner product. (English) Zbl 1542.65045 Appl. Numer. Math. 200, 429-452 (2024). Reviewer: Pierluigi Vellucci (Roma) MSC: 65F15 42C05 41A20 65D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tomanović, Jelena Incorporating the external zeros and poles of the integrand into Gauss-type quadrature rules. (English) Zbl 1542.65033 Appl. Numer. Math. 200, 409-428 (2024). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D32 41A55 41A20 × Cite Format Result Cite Review PDF Full Text: DOI
Laudadio, Teresa; Mastronardi, Nicola; Occorsio, Donatella Computing integrals with an exponential weight on the real axis in floating point arithmetic. (English) Zbl 1543.41011 Appl. Numer. Math. 200, 309-317 (2024). Reviewer: Neha Malik (New Delhi) MSC: 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández, Lidia; Marcellán, Francisco; Pérez, Teresa E.; Piñar, Miguel A. Sobolev orthogonal polynomials and spectral methods in boundary value problems. (English) Zbl 1540.42047 Appl. Numer. Math. 200, 254-272 (2024). MSC: 42C05 33C45 41A10 42A10 35J25 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yifan; Xie, Hehu Computing multi-eigenpairs of high-dimensional eigenvalue problems using tensor neural networks. (English) Zbl 07843831 J. Comput. Phys. 506, Article ID 112928, 17 p. (2024). MSC: 65Fxx 68Txx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Lian-Sheng; Song, Yi-Bo; Meng, Hao-Sheng General single/multiple integral inequalities and their applications to stability of time-delay systems. (English) Zbl 1536.93703 J. Franklin Inst. 361, No. 5, Article ID 106646, 16 p. (2024). MSC: 93D20 93C43 93C05 × Cite Format Result Cite Review PDF Full Text: DOI
Petrović, Nevena Z.; Pranić, Miroslav S.; Stanić, Marija P.; Tomović Mladenović, Tatjana V. The set of anti-Gaussian quadrature rules for the optimal set of quadrature rules in Borges’ sense. (English) Zbl 1536.65031 J. Comput. Appl. Math. 442, Article ID 115733, 22 p. (2024). MSC: 65D32 33C45 41A55 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
Jandrlić, D. R.; Pejčev, A. V.; Spalević, M. M. Error bound of Gaussian quadrature rules for certain Gegenbauer weight functions. (English) Zbl 1536.65029 J. Comput. Appl. Math. 440, Article ID 115661, 11 p. (2024). MSC: 65D32 41A55 33C45 65D30 × Cite Format Result Cite Review PDF Full Text: DOI
An, Congpei; Wu, Hao-Ning Is hyperinterpolation efficient in the approximation of singular and oscillatory functions? (English) Zbl 1539.41006 J. Approx. Theory 299, Article ID 106013, 23 p. (2024). Reviewer: Mykhaylo Pahirya (Uzhhorod) MSC: 41A10 65D32 41A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laudadio, Teresa; Mastronardi, Nicola; Van Dooren, Paul On computing modified moments for half-range Hermite weights. (English) Zbl 1534.65045 Numer. Algorithms 95, No. 3, 1435-1457 (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65D32 65F05 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Spalević, Miodrag M. Modified anti-Gaussian quadrature formulae of Chebyshev type. (English) Zbl 1533.65042 Numer. Algorithms 95, No. 3, 1347-1357 (2024). MSC: 65D32 41A55 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Menghan; Wang, Haiyong Gaussian quadrature rules for composite highly oscillatory integrals. (English) Zbl 1537.65023 Math. Comput. 93, No. 346, 729-746 (2024). Reviewer: Szymon Wąsowicz (Bielsko-Biała) MSC: 65D32 41A55 65D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Djukić, Dušan Lj.; Mutavdžić Djukić, Rada M.; Reichel, Lothar; Spalević, Miodrag M. Decompositions of optimal averaged Gauss quadrature rules. (English) Zbl 1522.65032 J. Comput. Appl. Math. 438, Article ID 115586, 12 p. (2024). MSC: 65D30 65D32 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Tomanović, Jelena Gauss-type quadrature rules for variable-sign weight functions. (English) Zbl 1522.65038 J. Comput. Appl. Math. 437, Article ID 115477, 20 p. (2024). MSC: 65D32 41A55 65D30 × Cite Format Result Cite Review PDF Full Text: DOI
van Buggenhout, Niel On generating Sobolev orthogonal polynomials. (English) Zbl 1535.42047 Numer. Math. 155, No. 3-4, 415-443 (2023). MSC: 42C05 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tomanović, Jelena Gauss-type quadrature rules with respect to external zeros of the integrand. (English) Zbl 1534.65042 ETNA, Electron. Trans. Numer. Anal. 59, 230-249 (2023). MSC: 65D30 65D32 41A55 × Cite Format Result Cite Review PDF Full Text: DOI Link
Djukić, Dusan Lj.; Djukić, Rada M. Mutavdžić; Reichel, Lothar; Spalević, Miodrag M. Optimal averaged Padé-type approximants. (English) Zbl 1534.65041 ETNA, Electron. Trans. Numer. Anal. 59, 145-156 (2023). MSC: 65D30 65D32 41A21 × Cite Format Result Cite Review PDF Full Text: DOI Link
Oladyshkin, Sergey; Praditia, Timothy; Kroeker, Ilja; Mohammadi, Farid; Nowak, Wolfgang; Otte, Sebastian The deep arbitrary polynomial chaos neural network or how deep artificial neural networks could benefit from data-driven homogeneous chaos theory. (English) Zbl 07755842 Neural Netw. 166, 85-104 (2023). MSC: 68T07 65Cxx 60Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dominici, Diego; Marcellán, Francisco Truncated Hermite polynomials. (English) Zbl 1539.33010 J. Difference Equ. Appl. 29, No. 7, 701-732 (2023). Reviewer: Sabrine Arfaoui (Bizerte) MSC: 33C47 33C45 42C05 26C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gander, Martin J.; Lunet, Thibaut; Ruprecht, Daniel; Speck, Robert A unified analysis framework for iterative parallel-in-time algorithms. (English) Zbl 1523.65109 SIAM J. Sci. Comput. 45, No. 5, A2275-A2303 (2023). MSC: 65Y05 65L20 65M55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pejčev, Aleksandar V. A note on “Error bounds of Gaussian quadrature formulae with Legendre weight function for analytic integrands” by M. M. Spalević et al. (English) Zbl 1520.65017 ETNA, Electron. Trans. Numer. Anal. 59, 89-98 (2023). MSC: 65D32 65D30 41A55 × Cite Format Result Cite Review PDF Full Text: DOI Link
Marriaga, Misael E.; Pérez, Teresa E.; Piñar, Miguel A.; Recarte, Marlon J. Approximation via gradients on the ball. The Zernike case. (English) Zbl 1526.42040 J. Comput. Appl. Math. 430, Article ID 115258, 23 p. (2023). Reviewer: Alexei Lukashov (Moskva) MSC: 42C05 42A20 33C50 42A10 41A30 46E35 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V. Symbolic computation of recurrence coefficients for polynomials orthogonal with respect to the Szegő-Bernstein weights. (English) Zbl 1531.33043 Math. Found. Comput. 6, No. 3, 460-473 (2023). MSC: 33F10 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Haiyong New error bounds for Legendre approximations of differentiable functions. (English) Zbl 1528.41040 J. Fourier Anal. Appl. 29, No. 4, Paper No. 42, 24 p. (2023). MSC: 41A25 41A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boyd, John P. Using parity to accelerate Hermite function computations: zeros of truncated Hermite series, Gaussian quadrature and Clenshaw summation. (English) Zbl 1540.65088 Math. Comput. Simul. 207, 521-532 (2023). MSC: 65D32 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dominici, Diego Comparative asymptotics for discrete semiclassical orthogonal polynomials. (English) Zbl 1532.41031 Bull. Math. Sci. 13, No. 1, Article ID 2250010, 36 p. (2023). Reviewer: Yamilet del Carmen Quintana Mato (Madrid) MSC: 41A60 33C47 34E05 × Cite Format Result Cite Review PDF Full Text: DOI
Sarmavuori, Juha; Särkkä, Simo On the convergence of numerical integration as a finite matrix approximation to multiplication operator. (English) Zbl 1515.65064 Calcolo 60, No. 2, Paper No. 22, 41 p. (2023). MSC: 65D30 65D32 47N40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, Chaohua; Gao, Jiti; Linton, Oliver High dimensional semiparametric moment restriction models. (English) Zbl 07648716 J. Econom. 232, No. 2, 320-345 (2023). MSC: 62-XX 91-XX × Cite Format Result Cite Review PDF Full Text: DOI Link
Sadjang, P. Njionou; Sawalda, D. Kalda; Mboutngam, S.; Foupouagnigni, M.; Koepf, W. On non-linear characterizations of classical orthogonal polynomials. (English) Zbl 1524.33059 Mediterr. J. Math. 20, No. 1, Paper No. 10, 32 p. (2023). MSC: 33C45 33D45 × Cite Format Result Cite Review PDF Full Text: DOI
Laudadio, Teresa; Mastronardi, Nicola; Van Dooren, Paul Computing Gaussian quadrature rules with high relative accuracy. (English) Zbl 1506.65053 Numer. Algorithms 92, No. 1, 767-793 (2023). MSC: 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Hermoso, Carlos; Huertas, Edmundo J.; Lastra, Alberto; Marcellán, Francisco Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations. (English) Zbl 1527.33004 Numer. Algorithms 92, No. 1, 665-692 (2023). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 33C45 33C47 42C05 15A23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bentbib, A. H.; El Ghomari, M.; Jbilou, K.; Reichel, L. The global Golub-Kahan method and Gauss quadrature for tensor function approximation. (English) Zbl 07644382 Numer. Algorithms 92, No. 1, 5-34 (2023). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Harris, Lawrence A. Alternation points, weights and orthogonal polynomials. (English) Zbl 1517.42024 J. Approx. Theory 285, Article ID 105834, 11 p. (2023). MSC: 42C05 33C45 15A63 × Cite Format Result Cite Review PDF Full Text: DOI
Dominici, Diego Recurrence relations for the moments of discrete semiclassical orthogonal polynomials. (English) Zbl 1524.33062 J. Class. Anal. 20, No. 2, 143-180 (2022). MSC: 33C47 33C20 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V.; Vasović, Nevena M. Some modifications of the Chebyshev measures and the corresponding orthogonal polynomials. (English) Zbl 1528.33012 Bull., Cl. Sci. Math. Nat., Sci. Math. 47, 67-83 (2022). MSC: 33C45 33F10 × Cite Format Result Cite Review PDF Full Text: Link
Orive, Ramón; Pejčev, Aleksandar V.; Spalević, Miodrag M.; Mihić, Ljubica On the Gauss-Kronrod quadrature formula for a modified weight function of Chebyshev type. (English) Zbl 1505.65152 Numer. Algorithms 91, No. 4, 1855-1877 (2022). MSC: 65D32 65D30 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Gautschi, Walter Another look at polynomials orthogonal relative to exponential integral weight functions. (English) Zbl 07621823 Numer. Algorithms 91, No. 4, 1547-1557 (2022). MSC: 65D30 33C47 × Cite Format Result Cite Review PDF Full Text: DOI
Awonusika, Richard Olu; Ariwayo, Afolabi Gabriel Descriptions of fractional coefficients of Jacobi polynomial expansions. (English) Zbl 1524.33019 J. Anal. 30, No. 4, 1567-1608 (2022). MSC: 33C05 33C45 34A08 35A08 35C05 35C10 35C15 × Cite Format Result Cite Review PDF Full Text: DOI
Malik, Pradeep; Rao, Nadeem Note on chain sequences of Laguerre and Romanovski-Laguerre type polynomials. (English) Zbl 1498.42042 Thai J. Math. 20, No. 3, 1303-1314 (2022). MSC: 42C05 33C45 33C47 × Cite Format Result Cite Review PDF Full Text: Link
Mañas, Manuel Pearson equations for discrete orthogonal polynomials. III: Christoffel and Geronimus transformations. (English) Zbl 1498.42043 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 4, Paper No. 168, 23 p. (2022). MSC: 42C05 33C45 33C47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mutavdžić, Rada M. Generalized averaged Gaussian formulas for certain weight functions. (English) Zbl 1513.65041 Kragujevac J. Math. 46, No. 2, 295-305 (2022). MSC: 65D30 65D32 × Cite Format Result Cite Review PDF Full Text: Link
Gu, Yiqi; Ng, Michael K. Deep adaptive basis Galerkin method for high-dimensional evolution equations with oscillatory solutions. (English) Zbl 1506.65154 SIAM J. Sci. Comput. 44, No. 5, A3130-A3157 (2022). Reviewer: Yinhua Xia (Hefei) MSC: 65M60 65M70 65M20 65M15 68T07 41A25 42C10 35B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ngai, Sze-Man; Tang, Wei; Tran, Anh; Yuan, Shuai Orthogonal polynomials defined by self-similar measures with overlaps. (English) Zbl 1503.42023 Exp. Math. 31, No. 3, 1026-1038 (2022). MSC: 42C05 28A25 28A80 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Huybrechs, Daan On the computation of Gaussian quadrature rules for Chebyshev sets of linearly independent functions. (English) Zbl 1507.65065 SIAM J. Numer. Anal. 60, No. 3, 1168-1192 (2022). MSC: 65D32 41A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jandrlić, D. R.; Krtinić, D. M.; Mihić, Lj. V.; Pejčev, A. V.; Spalević, M. M. Error bounds for Gaussian quadrature formulae with Legendre weight function for analytic integrands. (English) Zbl 1487.65029 ETNA, Electron. Trans. Numer. Anal. 55, 424-437 (2022). MSC: 65D32 65D30 41A55 × Cite Format Result Cite Review PDF Full Text: DOI
Alahmadi, J.; Pranić, M.; Reichel, L. Rational Gauss quadrature rules for the approximation of matrix functionals involving Stieltjes functions. (English) Zbl 1493.65081 Numer. Math. 151, No. 2, 443-473 (2022). MSC: 65F60 65D15 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Ariznabarreta, Gerardo; Mañas, Manuel Multivariate Toda hierarchies and biorthogonal polynomials. (English) Zbl 1498.37103 Physica D 434, Article ID 133202, 17 p. (2022). MSC: 37K10 37K20 33C90 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Shimin; Li, Can; Li, Xiaoli; Mei, Liquan Energy-conserving and time-stepping-varying ESAV-Hermite-Galerkin spectral scheme for nonlocal Klein-Gordon-Schrödinger system with fractional Laplacian in unbounded domains. (English) Zbl 07527722 J. Comput. Phys. 458, Article ID 111096, 21 p. (2022). MSC: 65Mxx 35Qxx 35Rxx × Cite Format Result Cite Review PDF Full Text: DOI
Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J. Sobolev orthogonal polynomials: asymptotics and symbolic computation. (English) Zbl 1510.42036 East Asian J. Appl. Math. 12, No. 3, 535-563 (2022). MSC: 42C05 33F10 33C47 33C45 65D20 × Cite Format Result Cite Review PDF Full Text: DOI
Fox, Rodney O.; Laurent, Frédérique Hyperbolic quadrature method of moments for the one-dimensional kinetic equation. (English) Zbl 1489.82065 SIAM J. Appl. Math. 82, No. 2, 750-771 (2022). MSC: 82C40 35L60 35Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Milovanović, Gradimir V.; Masjed-Jamei, Mohammad; Moalemi, Zahra Weighted nonstandard quadrature formulas based on values of linear differential operators. (English) Zbl 1490.65040 J. Comput. Appl. Math. 409, Article ID 114162, 17 p. (2022). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D32 65D30 41A55 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
das Neves Rebocho, Maria On the second-order holonomic equation for Sobolev-type orthogonal polynomials. (English) Zbl 1506.33011 Appl. Anal. 101, No. 1, 314-336 (2022). MSC: 33D45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
de la Calle Ysern, Bernardo; Spalević, Miodrag M. On the computation of Patterson-type quadrature rules. (English) Zbl 1489.65048 J. Comput. Appl. Math. 403, Article ID 113850, 15 p. (2022). Reviewer: Adhemar Bultheel (Leuven) MSC: 65D20 65D32 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Roy, N.; Dürr, R.; Bück, A.; Kumar, J.; Sundar, S. Numerical methods for particle agglomeration and breakage in lid-driven cavity flows at low Reynolds numbers. (English) Zbl 1540.76222 Math. Comput. Simul. 192, 33-49 (2022). MSC: 76T20 × Cite Format Result Cite Review PDF Full Text: DOI
van Diejen, J. F. Harmonic analysis of boxed hyperoctahedral Hall-Littlewood polynomials. (English) Zbl 1528.33021 J. Funct. Anal. 282, No. 1, Article ID 109256, 26 p. (2022). MSC: 33D52 05E05 43A90 65D32 81T45 82B23 × Cite Format Result Cite Review PDF Full Text: DOI
Bachi, Katia; Chauvière, Cédric; Djellout, Hacène; Abbas, Karim Propagation of epistemic uncertainty in queueing models with unreliable server using chaos expansions. (English) Zbl 1491.90034 Commun. Stat., Simulation Comput. 50, No. 4, 1039-1061 (2021). MSC: 90B22 60K25 65C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wagner, Paul-Remo; Marelli, Stefano; Sudret, Bruno Bayesian model inversion using stochastic spectral embedding. (English) Zbl 07513836 J. Comput. Phys. 436, Article ID 110141, 21 p. (2021). MSC: 65Cxx 62Fxx 62-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kayijuka, Idrissa; Alfaqeih, Suliman; Öziş, Turgut Application of the Cauchy integral approach to singular and highly oscillatory integrals. (English) Zbl 1480.65061 Int. J. Comput. Math. 98, No. 10, 2097-2114 (2021). MSC: 65D30 × Cite Format Result Cite Review PDF Full Text: DOI
Qi, Zhen-Zhong; Jiang, Yao-Lin; Xiao, Zhi-Hua Dimension reduction for \(k\)-power bilinear systems using orthogonal polynomials and Arnoldi algorithm. (English) Zbl 1483.93045 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 10, 2048-2063 (2021). MSC: 93B11 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Kayijuka, Idrissa; Ege, Serife Muge; Topal, Fatma Serap; Konuralp, Ali Fast Gauss-related quadrature for highly oscillatory integrals with logarithm and Cauchy-logarithmic type singularities. (English) Zbl 1499.65077 Int. J. Numer. Anal. Model. 18, No. 4, 442-457 (2021). MSC: 65D30 65D32 × Cite Format Result Cite Review PDF Full Text: Link
An, Congpei; Wu, Hao-Ning Lasso hyperinterpolation over general regions. (English) Zbl 1483.65029 SIAM J. Sci. Comput. 43, No. 6, A3967-A3991 (2021). MSC: 65D15 65D05 41A10 33C52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Shimin; Mei, Liquan; Li, Can; Yan, Wenjing; Gao, Jinghuai IMEX Hermite-Galerkin spectral schemes with adaptive time stepping for the coupled nonlocal Gordon-type systems in multiple dimensions. (English) Zbl 1484.65250 SIAM J. Sci. Comput. 43, No. 6, B1133-B1163 (2021). MSC: 65M70 65M06 65N35 65M60 65M12 65L05 35Q53 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Alahmadi, J.; Alqahtani, H.; Pranić, M. S.; Reichel, L. Gauss-Laurent-type quadrature rules for the approximation of functionals of a nonsymmetric matrix. (English) Zbl 1482.65070 Numer. Algorithms 88, No. 4, 1937-1964 (2021). MSC: 65F60 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Milovanović, Gradimir V. Summation of slowly convergent series by the Gaussian type of quadratures and application to the calculation of the values of the Riemann zeta function. (English) Zbl 07413780 Bull., Cl. Sci. Math. Nat., Sci. Math. 46, 131-150 (2021). MSC: 65B10 65D30 65D32 40A25 × Cite Format Result Cite Review PDF Full Text: Link
Gautschi, Walter; Milovanović, Gradimir V. Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measure. (English) Zbl 1486.33015 Numer. Algorithms 88, No. 3, 1233-1249 (2021). MSC: 33C47 15B52 × Cite Format Result Cite Review PDF Full Text: DOI
Pozza, Stefano; Pranić, Miroslav The Gauss quadrature for general linear functionals, Lanczos algorithm, and minimal partial realization. (English) Zbl 1486.65030 Numer. Algorithms 88, No. 2, 647-678 (2021). MSC: 65D30 65D32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baustian, Falko; Filipová, Kateřina; Pospíšil, Jan Solution of option pricing equations using orthogonal polynomial expansion. (English) Zbl 07396167 Appl. Math., Praha 66, No. 4, 553-582 (2021). MSC: 91G20 33C45 91G60 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Zexin; Narayan, Akil On the computation of recurrence coefficients for univariate orthogonal polynomials. (English) Zbl 1481.65041 J. Sci. Comput. 88, No. 3, Paper No. 53, 26 p. (2021). MSC: 65D20 33D45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Awonusika, Richard Olu On Jacobi polynomials and fractional spectral functions on compact symmetric spaces. (English) Zbl 1489.33014 J. Anal. 29, No. 3, 987-1024 (2021). MSC: 33D15 33D45 × Cite Format Result Cite Review PDF Full Text: DOI
Djukić, Dušan Lj.; Mutavdžić Djukić, Rada M.; Reichel, Lothar; Spalević, Miodrag M. Internality of generalized averaged Gauss quadrature rules and truncated variants for modified Chebyshev measures of the first kind. (English) Zbl 1472.65028 J. Comput. Appl. Math. 398, Article ID 113696, 11 p. (2021). MSC: 65D30 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Karvonen, Toni; Oates, Chris J.; Girolami, Mark Integration in reproducing kernel Hilbert spaces of Gaussian kernels. (English) Zbl 1510.65050 Math. Comput. 90, No. 331, 2209-2233 (2021). MSC: 65D30 46E22 65D12 41A25 41A63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alhaidari, A. D. Exponentially confining potential well. (English. Russian original) Zbl 1467.81030 Theor. Math. Phys. 206, No. 1, 84-96 (2021); translation from Teor. Mat. Fiz. 206, No. 1, 97-111 (2021); erratum Theor. Math. Phys. 208, No. 3, 1317 (2021). MSC: 81Q05 47B36 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bentbib, A. H.; El Ghomari, M.; Jbilou, K.; Reichel, L. Shifted extended global Lanczos processes for trace estimation with application to network analysis. (English) Zbl 1470.65076 Calcolo 58, No. 1, Paper No. 4, 36 p. (2021). MSC: 65F60 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Alahmadi, J.; Pranić, M.; Reichel, L. Computation of error bounds via generalized Gauss-Radau and Gauss-Lobatto rules. (English) Zbl 1470.65075 J. Comput. Appl. Math. 396, Article ID 113604, 13 p. (2021). MSC: 65F60 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Ranjbar, H.; Ghoreishi, F. A Gaussian quadrature rule for Fourier-type highly oscillatory integrals in the presence of stationary points. (English) Zbl 1470.65034 J. Comput. Appl. Math. 395, Article ID 113592, 20 p. (2021). MSC: 65D30 33C47 65D32 34E05 × Cite Format Result Cite Review PDF Full Text: DOI
Barry, Paul Generalized Catalan recurrences, Riordan arrays, elliptic curves, and orthogonal polynomials. (English) Zbl 1471.11032 J. Integer Seq. 24, No. 5, Article 21.5.1, 48 p. (2021). MSC: 11B37 05A15 14H52 15B36 42C05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Díaz-González, Abel; Marcellán, Francisco; Pijeira-Cabrera, Héctor; Urbina, Wilfredo Discrete-continuous Jacobi-Sobolev spaces and Fourier series. (English) Zbl 1462.42047 Bull. Malays. Math. Sci. Soc. (2) 44, No. 2, 571-598 (2021). MSC: 42C10 42C05 33C45 42A20 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Webb, Marcus; Olver, Sheehan Spectra of Jacobi operators via connection coefficient matrices. (English) Zbl 1518.47055 Commun. Math. Phys. 382, No. 2, 657-707 (2021). Reviewer: Adhemar Bultheel (Leuven) MSC: 47B36 47B35 47N40 46N40 65N12 65D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beckermann, Bernhard; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos Perturbations of Christoffel-Darboux kernels: detection of outliers. (English) Zbl 1470.42049 Found. Comput. Math. 21, No. 1, 71-124 (2021). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 46E22 30H20 30E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Magnus, Alphonse P.; Ndayiragije, François; Ronveaux, André About families of orthogonal polynomials satisfying Heun’s differential equation. (English) Zbl 1462.33004 J. Approx. Theory 263, Article ID 105522, 30 p. (2021). Reviewer: Thomas Ernst (Uppsala) MSC: 33C45 34M35 34M55 41A21 42C05 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Jagels, Carl; Jbilou, Khalide; Reichel, Lothar The extended global Lanczos method, Gauss-Radau quadrature, and matrix function approximation. (English) Zbl 1485.65053 J. Comput. Appl. Math. 381, Article ID 113027, 16 p. (2021). MSC: 65F99 15A15 65D32 65F15 65F60 × Cite Format Result Cite Review PDF Full Text: DOI
Daněk, Josef; Pospíšil, Jan Numerical aspects of integration in semi-closed option pricing formulas for stochastic volatility jump diffusion models. (English) Zbl 1480.91313 Int. J. Comput. Math. 97, No. 6, 1268-1292 (2020). MSC: 91G60 65D30 65R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xu, Zhenhua; Geng, Hongrui; Fang, Chunhua Asymptotics and numerical approximation of highly oscillatory Hilbert transforms. (English) Zbl 1474.65483 Appl. Math. Comput. 386, Article ID 125525, 14 p. (2020). MSC: 65R10 44A15 65D32 65D30 × Cite Format Result Cite Review PDF Full Text: DOI
Garza-Vargas, Jorge; Kulkarni, Archit The Lanczos algorithm under few iterations: concentration and location of the output. (English) Zbl 1461.65047 SIAM J. Matrix Anal. Appl. 41, No. 3, 1312-1346 (2020). MSC: 65F15 42C05 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Díaz de Alba, Patricia; Fermo, Luisa; Rodriguez, Giuseppe Solution of second kind Fredholm integral equations by means of Gauss and anti-Gauss quadrature rules. (English) Zbl 1458.65158 Numer. Math. 146, No. 4, 699-728 (2020). MSC: 65R20 45B05 65D30 42C05 × Cite Format Result Cite Review PDF Full Text: DOI
Kurtoǧlu, Dilan Kılıç; Hasçelik, A. Ihsan; Milovanović, Gradimir V. A method for efficient computation of integrals with oscillatory and singular integrand. (English) Zbl 1456.65017 Numer. Algorithms 85, No. 4, 1155-1173 (2020). MSC: 65D30 65D32 26B20 × Cite Format Result Cite Review PDF Full Text: DOI
Mantica, Giorgio CT-scans of fractal and non fractal measures in the plane coded by affine homogeneous iterated function systems. (English) Zbl 1469.28008 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105410, 18 p. (2020). MSC: 28A80 × Cite Format Result Cite Review PDF Full Text: DOI
Spalević, Miodrag M. A note on generalized averaged Gaussian formulas for a class of weight functions. (English) Zbl 1453.65056 Numer. Algorithms 85, No. 3, 977-993 (2020). MSC: 65D32 33C45 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Shimin; Mei, Liquan; Li, Can; Zhang, Zhengqiang; Li, Ying Semi-implicit Hermite-Galerkin spectral method for distributed-order fractional-in-space nonlinear reaction-diffusion equations in multidimensional unbounded domains. (English) Zbl 1452.65274 J. Sci. Comput. 85, No. 1, Paper No. 15, 26 p. (2020). MSC: 65M70 65M60 65M06 65D32 33C45 35R11 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Glaubitz, Jan Stable high order quadrature rules for scattered data and general weight functions. (English) Zbl 07236289 SIAM J. Numer. Anal. 58, No. 4, 2144-2164 (2020). MSC: 65D30 65D32 41A55 42C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Foupouagnigni, Mama An introduction to orthogonal polynomials. (English) Zbl 1443.33011 Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 3-24 (2020). MSC: 33C45 42C05 × Cite Format Result Cite Review PDF Full Text: DOI