Zheng, Chaowen; Tang, Zhuochao; Huang, Jingfang; Wu, Yichao An \(O(N)\) algorithm for computing expectation of \(N\)-dimensional truncated multi-variate normal distribution. II: computing moments and sparse grid acceleration. (English) Zbl 07618974 Adv. Comput. Math. 48, No. 6, Paper No. 71, 20 p. (2022). MSC: 03D20 41A30 62H10 65C60 65D30 65T40 PDFBibTeX XMLCite \textit{C. Zheng} et al., Adv. Comput. Math. 48, No. 6, Paper No. 71, 20 p. (2022; Zbl 07618974) Full Text: DOI
Nitsche, Monika Corrected trapezoidal rule for near-singular integrals in axi-symmetric Stokes flow. (English) Zbl 1500.65009 Adv. Comput. Math. 48, No. 5, Paper No. 57, 32 p. (2022). MSC: 65D30 65D32 65N38 65R20 76D07 PDFBibTeX XMLCite \textit{M. Nitsche}, Adv. Comput. Math. 48, No. 5, Paper No. 57, 32 p. (2022; Zbl 1500.65009) Full Text: DOI
Fryklund, Fredrik; af Klinteberg, Ludvig; Tornberg, Anna-Karin An adaptive kernel-split quadrature method for parameter-dependent layer potentials. (English) Zbl 1483.65038 Adv. Comput. Math. 48, No. 2, Paper No. 12, 27 p. (2022). MSC: 65D30 45E10 65N99 65R20 PDFBibTeX XMLCite \textit{F. Fryklund} et al., Adv. Comput. Math. 48, No. 2, Paper No. 12, 27 p. (2022; Zbl 1483.65038) Full Text: DOI arXiv
Huang, Jingfang; Cao, Jian; Fang, Fuhui; Genton, Marc G.; Keyes, David E.; Turkiyyah, George An \(O(N)\) algorithm for computing expectation of \(N\)-dimensional truncated multi-variate normal distribution. I: Fundamentals. (English) Zbl 07400547 Adv. Comput. Math. 47, No. 5, Paper No. 65, 34 p. (2021). MSC: 03D20 34B27 62H10 65C60 65D30 65T40 PDFBibTeX XMLCite \textit{J. Huang} et al., Adv. Comput. Math. 47, No. 5, Paper No. 65, 34 p. (2021; Zbl 07400547) Full Text: DOI
Wu, Bowei; Martinsson, Per-Gunnar Zeta correction: a new approach to constructing corrected trapezoidal quadrature rules for singular integral operators. (English) Zbl 1473.65022 Adv. Comput. Math. 47, No. 3, Paper No. 45, 21 p. (2021). MSC: 65D30 65D32 65R20 PDFBibTeX XMLCite \textit{B. Wu} and \textit{P.-G. Martinsson}, Adv. Comput. Math. 47, No. 3, Paper No. 45, 21 p. (2021; Zbl 1473.65022) Full Text: DOI arXiv
Atkinson, Kendall; Chien, David; Hansen, Olaf Multivariate quadrature of a singular integrand. (English) Zbl 1472.65032 Adv. Comput. Math. 47, No. 3, Paper No. 44, 27 p. (2021). MSC: 65D32 65D30 PDFBibTeX XMLCite \textit{K. Atkinson} et al., Adv. Comput. Math. 47, No. 3, Paper No. 44, 27 p. (2021; Zbl 1472.65032) Full Text: DOI
Fryklund, Fredrik; Kropinski, Mary Catherine A.; Tornberg, Anna-Karin An integral equation-based numerical method for the forced heat equation on complex domains. (English) Zbl 1452.65272 Adv. Comput. Math. 46, No. 5, Paper No. 69, 36 p. (2020). MSC: 65M70 65M80 65L06 65M06 65D30 35J05 65R20 35K05 PDFBibTeX XMLCite \textit{F. Fryklund} et al., Adv. Comput. Math. 46, No. 5, Paper No. 69, 36 p. (2020; Zbl 1452.65272) Full Text: DOI arXiv
Greengard, Leslie; Jiang, Shidong; Wang, Jun On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries. (English) Zbl 1437.35535 Adv. Comput. Math. 46, No. 2, Paper No. 17, 15 p. (2020). MSC: 35Q30 45E99 65M80 76D07 35C20 65T50 65D30 35R37 PDFBibTeX XMLCite \textit{L. Greengard} et al., Adv. Comput. Math. 46, No. 2, Paper No. 17, 15 p. (2020; Zbl 1437.35535) Full Text: DOI arXiv
Kunsch, Robert J.; Rudolf, Daniel Optimal confidence for Monte Carlo integration of smooth functions. (English) Zbl 07179122 Adv. Comput. Math. 45, No. 5-6, 3095-3122 (2019). MSC: 65C05 65D30 65J05 PDFBibTeX XMLCite \textit{R. J. Kunsch} and \textit{D. Rudolf}, Adv. Comput. Math. 45, No. 5--6, 3095--3122 (2019; Zbl 07179122) Full Text: DOI arXiv
Yano, Masayuki Discontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation laws. (English) Zbl 1435.65213 Adv. Comput. Math. 45, No. 5-6, 2287-2320 (2019). MSC: 65N30 65N15 65D30 35Q35 76G25 76N06 76R50 PDFBibTeX XMLCite \textit{M. Yano}, Adv. Comput. Math. 45, No. 5--6, 2287--2320 (2019; Zbl 1435.65213) Full Text: DOI
Gray, L. J.; Jakowski, Jas; Moore, M. N. J.; Ye, Wenjing Boundary integral analysis for non-homogeneous, incompressible Stokes flows. (English) Zbl 1426.65193 Adv. Comput. Math. 45, No. 3, 1729-1734 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 65N38 35Q35 65D30 76D07 76M15 PDFBibTeX XMLCite \textit{L. J. Gray} et al., Adv. Comput. Math. 45, No. 3, 1729--1734 (2019; Zbl 1426.65193) Full Text: DOI
Bremer, James An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments. (English) Zbl 1418.65037 Adv. Comput. Math. 45, No. 1, 173-211 (2019). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 65D20 33C10 33F05 33F10 65L99 34E05 PDFBibTeX XMLCite \textit{J. Bremer}, Adv. Comput. Math. 45, No. 1, 173--211 (2019; Zbl 1418.65037) Full Text: DOI arXiv
Kashefi, Ali; Staples, Anne E. A finite-element coarse-grid projection method for incompressible flow simulations. (English) Zbl 1398.35149 Adv. Comput. Math. 44, No. 4, 1063-1090 (2018). MSC: 35Q30 65Y20 65N30 65N55 76D05 65M06 PDFBibTeX XMLCite \textit{A. Kashefi} and \textit{A. E. Staples}, Adv. Comput. Math. 44, No. 4, 1063--1090 (2018; Zbl 1398.35149) Full Text: DOI arXiv
Chen, Linghua; Jakobsen, Espen Robstad; Naess, Arvid On numerical density approximations of solutions of SDEs with unbounded coefficients. (English) Zbl 1393.60075 Adv. Comput. Math. 44, No. 3, 693-721 (2018). MSC: 60H35 65M12 47D07 PDFBibTeX XMLCite \textit{L. Chen} et al., Adv. Comput. Math. 44, No. 3, 693--721 (2018; Zbl 1393.60075) Full Text: DOI arXiv
Wenger, Theresa; Ober-Blöbaum, Sina; Leyendecker, Sigrid Construction and analysis of higher order variational integrators for dynamical systems with holonomic constraints. (English) Zbl 1378.65186 Adv. Comput. Math. 43, No. 5, 1163-1195 (2017). MSC: 65P10 37M15 65L80 PDFBibTeX XMLCite \textit{T. Wenger} et al., Adv. Comput. Math. 43, No. 5, 1163--1195 (2017; Zbl 1378.65186) Full Text: DOI Link
af Klinteberg, Ludvig; Tornberg, Anna-Karin Error estimation for quadrature by expansion in layer potential evaluation. (English) Zbl 1367.65154 Adv. Comput. Math. 43, No. 1, 195-234 (2017). MSC: 65N15 65N38 35J05 65D32 41A55 PDFBibTeX XMLCite \textit{L. af Klinteberg} and \textit{A.-K. Tornberg}, Adv. Comput. Math. 43, No. 1, 195--234 (2017; Zbl 1367.65154) Full Text: DOI arXiv
Marthinsen, Håkon; Owren, Brynjulf Geometric integration of non-autonomous linear Hamiltonian problems. (English) Zbl 1338.65272 Adv. Comput. Math. 42, No. 2, 313-332 (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P10 37M15 53D22 70H15 37J10 PDFBibTeX XMLCite \textit{H. Marthinsen} and \textit{B. Owren}, Adv. Comput. Math. 42, No. 2, 313--332 (2016; Zbl 1338.65272) Full Text: DOI arXiv
Nuyens, Dirk; Suryanarayana, Gowri; Weimar, Markus Rank-1 lattice rules for multivariate integration in spaces of permutation-invariant functions. Error bounds and tractability. (English) Zbl 1334.65064 Adv. Comput. Math. 42, No. 1, 55-84 (2016). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 65Y20 68Q25 65C05 PDFBibTeX XMLCite \textit{D. Nuyens} et al., Adv. Comput. Math. 42, No. 1, 55--84 (2016; Zbl 1334.65064) Full Text: DOI arXiv
Huang, Pengzhan; Feng, Xinlong; He, Yinnian An efficient two-step algorithm for the incompressible flow problem. (English) Zbl 1334.76080 Adv. Comput. Math. 41, No. 6, 1059-1077 (2015). MSC: 76M10 65N30 65N12 76D05 PDFBibTeX XMLCite \textit{P. Huang} et al., Adv. Comput. Math. 41, No. 6, 1059--1077 (2015; Zbl 1334.76080) Full Text: DOI
Helsing, Johan; Holst, Anders Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems. (English) Zbl 1319.65117 Adv. Comput. Math. 41, No. 3, 691-708 (2015). MSC: 65N38 35J05 65N12 PDFBibTeX XMLCite \textit{J. Helsing} and \textit{A. Holst}, Adv. Comput. Math. 41, No. 3, 691--708 (2015; Zbl 1319.65117) Full Text: DOI arXiv
Calvo, M.; Laburta, M. P.; Montijano, J. I.; Rández, L. Runge-Kutta projection methods with low dispersion and dissipation errors. (English) Zbl 1308.65115 Adv. Comput. Math. 41, No. 1, 231-251 (2015). MSC: 65L05 65L06 PDFBibTeX XMLCite \textit{M. Calvo} et al., Adv. Comput. Math. 41, No. 1, 231--251 (2015; Zbl 1308.65115) Full Text: DOI
D’Ambrosio, Raffaele; De Martino, Giuseppe; Paternoster, Beatrice Numerical integration of Hamiltonian problems by G-symplectic methods. (English) Zbl 1301.65127 Adv. Comput. Math. 40, No. 2, 553-575 (2014). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P10 65L05 65L20 37M15 65L06 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., Adv. Comput. Math. 40, No. 2, 553--575 (2014; Zbl 1301.65127) Full Text: DOI
Elgindy, Kareem T.; Smith-Miles, Kate A. On the optimization of Gegenbauer operational matrix of integration. (English) Zbl 1274.65078 Adv. Comput. Math. 39, No. 3-4, 511-524 (2013). MSC: 65D99 PDFBibTeX XMLCite \textit{K. T. Elgindy} and \textit{K. A. Smith-Miles}, Adv. Comput. Math. 39, No. 3--4, 511--524 (2013; Zbl 1274.65078) Full Text: DOI
Garrappa, Roberto; Popolizio, Marina Evaluation of generalized Mittag-Leffler functions on the real line. (English) Zbl 1272.33020 Adv. Comput. Math. 39, No. 1, 205-225 (2013). MSC: 33E12 44A10 26A33 65D30 PDFBibTeX XMLCite \textit{R. Garrappa} and \textit{M. Popolizio}, Adv. Comput. Math. 39, No. 1, 205--225 (2013; Zbl 1272.33020) Full Text: DOI
Zhang, Qinghui; Banerjee, Uday Numerical integration in Galerkin meshless methods, applied to elliptic Neumann problem with non-constant coefficients. (English) Zbl 1254.65124 Adv. Comput. Math. 37, No. 4, 453-492 (2012). MSC: 65N15 65N30 41A30 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{U. Banerjee}, Adv. Comput. Math. 37, No. 4, 453--492 (2012; Zbl 1254.65124) Full Text: DOI
Hesse, Kerstin; Womersley, Robert S. Numerical integration with polynomial exactness over a spherical cap. (English) Zbl 1256.65024 Adv. Comput. Math. 36, No. 3, 451-483 (2012). Reviewer: Josef Kofroň (Praha) MSC: 65D32 33C55 41A55 33C50 42C10 43A90 58C35 41A63 PDFBibTeX XMLCite \textit{K. Hesse} and \textit{R. S. Womersley}, Adv. Comput. Math. 36, No. 3, 451--483 (2012; Zbl 1256.65024) Full Text: DOI
Huang, Jin; Zeng, Guang; He, Xiaoming; Li, Zi-Cai Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods. (English) Zbl 1381.45005 Adv. Comput. Math. 36, No. 1, 79-97 (2012). MSC: 45B05 45E05 65D30 65R20 PDFBibTeX XMLCite \textit{J. Huang} et al., Adv. Comput. Math. 36, No. 1, 79--97 (2012; Zbl 1381.45005) Full Text: DOI
Guessab, Allal; Schmeisser, Gerhard Construction of positive definite cubature formulae and approximation of functions via Voronoi tessellations. (English) Zbl 1193.65023 Adv. Comput. Math. 32, No. 1, 25-41 (2010). Reviewer: Dumitru Acu (Sibiu) MSC: 65D30 05B45 41A63 26D15 52C22 PDFBibTeX XMLCite \textit{A. Guessab} and \textit{G. Schmeisser}, Adv. Comput. Math. 32, No. 1, 25--41 (2010; Zbl 1193.65023) Full Text: DOI
Sloan, Ian H.; Sommariva, Alvise Approximation on the sphere using radial basis functions plus polynomials. (English) Zbl 1148.41020 Adv. Comput. Math. 29, No. 2, 147-177 (2008). MSC: 41A30 65D30 PDFBibTeX XMLCite \textit{I. H. Sloan} and \textit{A. Sommariva}, Adv. Comput. Math. 29, No. 2, 147--177 (2008; Zbl 1148.41020) Full Text: DOI
Calvo, M.; Montijano, J. I.; Rández, L. On explicit multi-revolution Runge-Kutta schemes. (English) Zbl 1115.65081 Adv. Comput. Math. 26, No. 1-3, 105-120 (2007). Reviewer: John C. Butcher (Auckland) MSC: 65L06 65L05 65M20 34A34 PDFBibTeX XMLCite \textit{M. Calvo} et al., Adv. Comput. Math. 26, No. 1--3, 105--120 (2007; Zbl 1115.65081) Full Text: DOI
Ye, Peixin Computational complexity of the integration problem for anisotropic classes. (English) Zbl 1071.65030 Adv. Comput. Math. 23, No. 4, 375-392 (2005). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65D32 65Y20 PDFBibTeX XMLCite \textit{P. Ye}, Adv. Comput. Math. 23, No. 4, 375--392 (2005; Zbl 1071.65030) Full Text: DOI
Jackiewicz, Z.; Marthinsen, A.; Owren, B. Construction of Runge-Kutta methods of Crouch-Grossman type of high order. (English) Zbl 0981.65084 Adv. Comput. Math. 13, No. 4, 405-415 (2000). Reviewer: Erwin Schechter (Kaiserslautern) MSC: 65L06 65L05 34A34 34C30 34A26 PDFBibTeX XMLCite \textit{Z. Jackiewicz} et al., Adv. Comput. Math. 13, No. 4, 405--415 (2000; Zbl 0981.65084) Full Text: DOI
Novak, Erich (ed.) Special issue: High dimensional integration. (English) Zbl 0936.00010 Adv. Comput. Math. 12, No. 1, 1-93 (2000). MSC: 00B15 65-06 65D32 PDFBibTeX XMLCite \textit{E. Novak} (ed.), Adv. Comput. Math. 12, No. 1, 1--93 (2000; Zbl 0936.00010) Full Text: DOI
Plaskota, Leszek The exponent of discrepancy of sparse grids is at least 2. 1933. (English) Zbl 0947.65028 Adv. Comput. Math. 12, No. 1, 3-24 (2000). Reviewer: D.Acu (Sibiu) MSC: 65D32 65C05 PDFBibTeX XMLCite \textit{L. Plaskota}, Adv. Comput. Math. 12, No. 1, 3--24 (2000; Zbl 0947.65028) Full Text: DOI
Mason, J. C.; Venturino, E. A Chebyshev polynomial method for line integrals with singularities. (English) Zbl 0923.65007 Adv. Comput. Math. 10, No. 2, 187-208 (1999). Reviewer: A.C.Genz (Pullman) MSC: 65D32 65N38 35J05 41A55 30E20 PDFBibTeX XMLCite \textit{J. C. Mason} and \textit{E. Venturino}, Adv. Comput. Math. 10, No. 2, 187--208 (1999; Zbl 0923.65007) Full Text: DOI
Butcher, J. C. Order and stability of parallel methods for stiff problems. (English) Zbl 0884.65090 Adv. Comput. Math. 7, No. 1-2, 79-96 (1997). Reviewer: I.Coroian (Baia Mare) MSC: 65L20 65L05 65Y05 34A34 34E13 PDFBibTeX XMLCite \textit{J. C. Butcher}, Adv. Comput. Math. 7, No. 1--2, 79--96 (1997; Zbl 0884.65090) Full Text: DOI
Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.; Jeffrey, D. J.; Knuth, D. E. On the Lambert \(w\) function. (English) Zbl 0863.65008 Adv. Comput. Math. 5, No. 4, 329-359 (1996). Reviewer: R.S.Dahiya (Ames) MSC: 65E05 30E10 65D20 PDFBibTeX XMLCite \textit{R. M. Corless} et al., Adv. Comput. Math. 5, No. 4, 329--359 (1996; Zbl 0863.65008) Full Text: DOI
Chandler-Wilde, S. N.; Levesley, J.; Hough, D. M. Evaluation of a boundary integral representation for the conformal mapping of the unit disk onto a simply-connected domain. (English) Zbl 0834.30008 Adv. Comput. Math. 3, No. 1-2, 115-135 (1995). Reviewer: A.Pomp (Stuttgart) MSC: 30C30 PDFBibTeX XMLCite \textit{S. N. Chandler-Wilde} et al., Adv. Comput. Math. 3, No. 1--2, 115--135 (1995; Zbl 0834.30008) Full Text: DOI
Brunnett, Guido; Crouch, Peter E. Elastic curves on the sphere. (English) Zbl 0830.65083 Adv. Comput. Math. 2, No. 1, 23-40 (1994). Reviewer: D.Braess (Bochum) MSC: 65L20 65L05 37C80 33E05 PDFBibTeX XMLCite \textit{G. Brunnett} and \textit{P. E. Crouch}, Adv. Comput. Math. 2, No. 1, 23--40 (1994; Zbl 0830.65083) Full Text: DOI
Champneys, Alan R.; Spence, Alastair Hunting for homoclinic orbits in reversible systems: A shooting technique. (English) Zbl 0824.65080 Adv. Comput. Math. 1, No. 1, 81-108 (1993). MSC: 65L10 34C37 37J99 PDFBibTeX XMLCite \textit{A. R. Champneys} and \textit{A. Spence}, Adv. Comput. Math. 1, No. 1, 81--108 (1993; Zbl 0824.65080) Full Text: DOI