Bertrand, Fleurianne; Carstensen, Carsten; Gräßle, Benedikt; Ngoc Tien Tran Stabilization-free HHO a posteriori error control. (English) Zbl 07732060 Numer. Math. 154, No. 3-4, 369-408 (2023). Reviewer: Petr Sváček (Praha) MSC: 65N30 65N50 65N12 65N15 65Y20 35J05 35B35 PDFBibTeX XMLCite \textit{F. Bertrand} et al., Numer. Math. 154, No. 3--4, 369--408 (2023; Zbl 07732060) Full Text: DOI arXiv
Jin, Shi; Zhu, Yuhua; Zuazua, Enrique The Vlasov-Fokker-Planck equation with high dimensional parametric forcing term. (English) Zbl 1487.35367 Numer. Math. 150, No. 2, 479-519 (2022). MSC: 35Q83 35Q84 65M70 65C30 65C05 60H15 35R60 41A10 65M06 65N35 PDFBibTeX XMLCite \textit{S. Jin} et al., Numer. Math. 150, No. 2, 479--519 (2022; Zbl 1487.35367) Full Text: DOI arXiv
Kazashi, Yoshihito; Nobile, Fabio; Vidličková, Eva Stability properties of a projector-splitting scheme for dynamical low rank approximation of random parabolic equations. (English) Zbl 07437243 Numer. Math. 149, No. 4, 973-1024 (2021). MSC: 65-XX 35R60 35K15 65M12 65L04 65F30 PDFBibTeX XMLCite \textit{Y. Kazashi} et al., Numer. Math. 149, No. 4, 973--1024 (2021; Zbl 07437243) Full Text: DOI arXiv
Nguyen, Dong T. P.; Nuyens, Dirk MDFEM: multivariate decomposition finite element method for elliptic PDEs with uniform random diffusion coefficients using higher-order QMC and FEM. (English) Zbl 1495.65219 Numer. Math. 148, No. 3, 633-669 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65D30 65D32 65N15 65N12 65C05 65Y05 35J25 35R60 PDFBibTeX XMLCite \textit{D. T. P. Nguyen} and \textit{D. Nuyens}, Numer. Math. 148, No. 3, 633--669 (2021; Zbl 1495.65219) Full Text: DOI arXiv
Chandler-Wilde, Simon N.; Hewett, David P.; Moiola, Andrea; Besson, Jeanne Boundary element methods for acoustic scattering by fractal screens. (English) Zbl 1475.65209 Numer. Math. 147, No. 4, 785-837 (2021). Reviewer: Thomas Führer (Santiago) MSC: 65N38 65R20 28A80 78A45 78M15 76Q05 PDFBibTeX XMLCite \textit{S. N. Chandler-Wilde} et al., Numer. Math. 147, No. 4, 785--837 (2021; Zbl 1475.65209) Full Text: DOI arXiv
Eigel, Martin; Marschall, Manuel; Pfeffer, Max; Schneider, Reinhold Adaptive stochastic Galerkin FEM for lognormal coefficients in hierarchical tensor representations. (English) Zbl 1439.65160 Numer. Math. 145, No. 3, 655-692 (2020). MSC: 65N30 60H35 65C20 35R60 47B80 65C30 65N12 65N22 65J10 PDFBibTeX XMLCite \textit{M. Eigel} et al., Numer. Math. 145, No. 3, 655--692 (2020; Zbl 1439.65160) Full Text: DOI arXiv
Adcock, Ben; Bao, Anyi; Brugiapaglia, Simone Correcting for unknown errors in sparse high-dimensional function approximation. (English) Zbl 1415.65030 Numer. Math. 142, No. 3, 667-711 (2019). MSC: 65D15 41A10 94A20 PDFBibTeX XMLCite \textit{B. Adcock} et al., Numer. Math. 142, No. 3, 667--711 (2019; Zbl 1415.65030) Full Text: DOI arXiv
Tran, Hoang; Webster, Clayton G.; Zhang, Guannan Analysis of quasi-optimal polynomial approximations for parameterized PDEs with deterministic and stochastic coefficients. (English) Zbl 1380.41004 Numer. Math. 137, No. 2, 451-493 (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A10 05A16 65N12 05A15 PDFBibTeX XMLCite \textit{H. Tran} et al., Numer. Math. 137, No. 2, 451--493 (2017; Zbl 1380.41004) Full Text: DOI arXiv
Eigel, Martin; Pfeffer, Max; Schneider, Reinhold Adaptive stochastic Galerkin FEM with hierarchical tensor representations. (English) Zbl 1397.65262 Numer. Math. 136, No. 3, 765-803 (2017). MSC: 65N30 35R60 47B80 60H35 65J10 65N12 65N22 65N75 PDFBibTeX XMLCite \textit{M. Eigel} et al., Numer. Math. 136, No. 3, 765--803 (2017; Zbl 1397.65262) Full Text: DOI Link
Nobile, F.; Tamellini, L.; Tempone, R. Convergence of quasi-optimal sparse-grid approximation of Hilbert-space-valued functions: Application to random elliptic PDEs. (English) Zbl 1351.41004 Numer. Math. 134, No. 2, 343-388 (2016). Reviewer: Dominique Lepingle (Orléans) MSC: 41A10 65C20 65N12 65N30 65C30 PDFBibTeX XMLCite \textit{F. Nobile} et al., Numer. Math. 134, No. 2, 343--388 (2016; Zbl 1351.41004) Full Text: DOI
Bousquet, Arthur; Gie, Gung-Min; Hong, Youngjoon; Laminie, Jacques A higher order finite volume resolution method for a system related to the inviscid primitive equations in a complex domain. (English) Zbl 1303.65073 Numer. Math. 128, No. 3, 431-461 (2014). MSC: 65M08 35L65 86A10 76B70 76M12 65M50 PDFBibTeX XMLCite \textit{A. Bousquet} et al., Numer. Math. 128, No. 3, 431--461 (2014; Zbl 1303.65073) Full Text: DOI
Hong, Youngjoon; Jung, Chang-Yeol; Temam, Roger On the numerical approximations of stiff convection-diffusion equations in a circle. (English) Zbl 1295.65112 Numer. Math. 127, No. 2, 291-313 (2014). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 35J25 65N50 65N15 PDFBibTeX XMLCite \textit{Y. Hong} et al., Numer. Math. 127, No. 2, 291--313 (2014; Zbl 1295.65112) Full Text: DOI
Gittelson, Claude Jeffrey Adaptive wavelet methods for elliptic partial differential equations with random operators. (English) Zbl 1516.65129 Numer. Math. 126, No. 3, 471-513 (2014). MSC: 65N30 65T60 65N50 47B80 60H35 65C20 65N12 65N22 65J10 65Y20 65C30 93C20 35R60 PDFBibTeX XMLCite \textit{C. J. Gittelson}, Numer. Math. 126, No. 3, 471--513 (2014; Zbl 1516.65129) Full Text: DOI Link
Segura, Javier Computing the complex zeros of special functions. (English) Zbl 1271.65087 Numer. Math. 124, No. 4, 723-752 (2013). MSC: 65H05 65E05 33F05 33C10 34M10 34E20 34C10 PDFBibTeX XMLCite \textit{J. Segura}, Numer. Math. 124, No. 4, 723--752 (2013; Zbl 1271.65087) Full Text: DOI
Coti Zelati, Michele; Tone, Florentina Multivalued attractors and their approximation: applications to the Navier-Stokes equations. (English) Zbl 1321.35131 Numer. Math. 122, No. 3, 421-441 (2012). MSC: 35Q30 35B41 65M06 76D05 PDFBibTeX XMLCite \textit{M. Coti Zelati} and \textit{F. Tone}, Numer. Math. 122, No. 3, 421--441 (2012; Zbl 1321.35131) Full Text: DOI arXiv
Barth, Andrea; Schwab, Christoph; Zollinger, Nathaniel Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients. (English) Zbl 1230.65006 Numer. Math. 119, No. 1, 123-161 (2011). Reviewer: Grigori N. Milstein (Yekaterinburg) MSC: 65C30 60H15 60H35 35R60 65C05 65Y20 PDFBibTeX XMLCite \textit{A. Barth} et al., Numer. Math. 119, No. 1, 123--161 (2011; Zbl 1230.65006) Full Text: DOI Link
Benbourhim, Mohammed-Najib; Bouhamidi, Abderrahman Pseudo-polyharmonic vectorial approximation for div-curl and elastic semi-norms. (English) Zbl 1151.65325 Numer. Math. 109, No. 3, 333-364 (2008). MSC: 65K10 41A15 65D05 65D10 46F10 PDFBibTeX XMLCite \textit{M.-N. Benbourhim} and \textit{A. Bouhamidi}, Numer. Math. 109, No. 3, 333--364 (2008; Zbl 1151.65325) Full Text: DOI