Di Pietro, Daniele A.; Droniou, Jérôme An arbitrary-order discrete de Rham complex on polyhedral meshes: exactness, Poincaré inequalities, and consistency. (English) Zbl 1512.65263 Found. Comput. Math. 23, No. 1, 85-164 (2023). Reviewer: Sebastian Franz (Dresden) MSC: 65N30 65N12 65N15 58A12 78A30 78M10 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{J. Droniou}, Found. Comput. Math. 23, No. 1, 85--164 (2023; Zbl 1512.65263) Full Text: DOI arXiv
Bressan, Andrea; Lyche, Tom Local approximation from spline spaces on box meshes. (English) Zbl 1469.41001 Found. Comput. Math. 21, No. 3, 807-848 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A25 41A63 PDFBibTeX XMLCite \textit{A. Bressan} and \textit{T. Lyche}, Found. Comput. Math. 21, No. 3, 807--848 (2021; Zbl 1469.41001) Full Text: DOI Link
Ostermann, Alexander; Rousset, Frédéric; Schratz, Katharina Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. (English) Zbl 1486.65208 Found. Comput. Math. 21, No. 3, 725-765 (2021). MSC: 65M70 65M22 65M12 65M15 35Q55 35Q41 PDFBibTeX XMLCite \textit{A. Ostermann} et al., Found. Comput. Math. 21, No. 3, 725--765 (2021; Zbl 1486.65208) Full Text: DOI arXiv
Hocking, L. Robert; Holding, Thomas; Schönlieb, Carola-Bibiane Analysis of artifacts in shell-based image inpainting: why they occur and how to eliminate them. (English) Zbl 1500.94003 Found. Comput. Math. 20, No. 6, 1549-1651 (2020). MSC: 94A08 65M12 65F10 60G50 60G40 35F15 60G42 65M15 35Q94 PDFBibTeX XMLCite \textit{L. R. Hocking} et al., Found. Comput. Math. 20, No. 6, 1549--1651 (2020; Zbl 1500.94003) Full Text: DOI Backlinks: MO
Abdulle, Assyr; Pouchon, Timothée Effective models and numerical homogenization for wave propagation in heterogeneous media on arbitrary timescales. (English) Zbl 1456.35015 Found. Comput. Math. 20, No. 6, 1505-1547 (2020). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 74Q10 74Q15 35L05 65M60 65N30 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{T. Pouchon}, Found. Comput. Math. 20, No. 6, 1505--1547 (2020; Zbl 1456.35015) Full Text: DOI arXiv
Griebel, Michael; Rieger, Christian; Zwicknagl, Barbara Regularized kernel-based reconstruction in generalized Besov spaces. (English) Zbl 1392.41008 Found. Comput. Math. 18, No. 2, 459-508 (2018). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A17 41A25 41A58 42A82 62G08 PDFBibTeX XMLCite \textit{M. Griebel} et al., Found. Comput. Math. 18, No. 2, 459--508 (2018; Zbl 1392.41008) Full Text: DOI
Licht, Martin Werner Complexes of discrete distributional differential forms and their homology theory. (English) Zbl 1375.65153 Found. Comput. Math. 17, No. 4, 1085-1122 (2017). MSC: 65N30 58A12 58A15 65N15 58J05 PDFBibTeX XMLCite \textit{M. W. Licht}, Found. Comput. Math. 17, No. 4, 1085--1122 (2017; Zbl 1375.65153) Full Text: DOI arXiv
Krieg, David; Novak, Erich A universal algorithm for multivariate integration. (English) Zbl 1384.65003 Found. Comput. Math. 17, No. 4, 895-916 (2017). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 65C10 65Y20 68Q25 PDFBibTeX XMLCite \textit{D. Krieg} and \textit{E. Novak}, Found. Comput. Math. 17, No. 4, 895--916 (2017; Zbl 1384.65003) Full Text: DOI arXiv
Kuo, Frances Y.; Nuyens, Dirk Application of quasi-Monte Carlo methods to elliptic PDEs with random diffusion coefficients: a survey of analysis and implementation. (English) Zbl 1362.65015 Found. Comput. Math. 16, No. 6, 1631-1696 (2016). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 65C30 65N30 65C05 65N75 35R60 35J25 65N15 60H15 60H35 PDFBibTeX XMLCite \textit{F. Y. Kuo} and \textit{D. Nuyens}, Found. Comput. Math. 16, No. 6, 1631--1696 (2016; Zbl 1362.65015) Full Text: DOI arXiv Link
Dereich, Steffen; Müller-Gronbach, Thomas Quadrature for self-affine distributions on \(\mathbb R^d\). (English) Zbl 1330.65044 Found. Comput. Math. 15, No. 6, 1465-1500 (2015). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 65C05 28A80 41A55 41A63 60H30 PDFBibTeX XMLCite \textit{S. Dereich} and \textit{T. Müller-Gronbach}, Found. Comput. Math. 15, No. 6, 1465--1500 (2015; Zbl 1330.65044) Full Text: DOI
Kuo, Frances Y.; Schwab, Christoph; Sloan, Ian H. Multi-level quasi-Monte Carlo finite element methods for a class of elliptic PDEs with random coefficients. (English) Zbl 1318.65006 Found. Comput. Math. 15, No. 2, 411-449 (2015). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65C30 60H15 60H35 35R60 65C05 65N15 65N55 PDFBibTeX XMLCite \textit{F. Y. Kuo} et al., Found. Comput. Math. 15, No. 2, 411--449 (2015; Zbl 1318.65006) Full Text: DOI arXiv
Demlow, Alan; Hirani, Anil N. A posteriori error estimates for finite element exterior calculus: the de Rham complex. (English) Zbl 1308.65187 Found. Comput. Math. 14, No. 6, 1337-1371 (2014). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N15 65N30 58A12 58A14 58A15 58J05 PDFBibTeX XMLCite \textit{A. Demlow} and \textit{A. N. Hirani}, Found. Comput. Math. 14, No. 6, 1337--1371 (2014; Zbl 1308.65187) Full Text: DOI arXiv
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R. Analysis of discrete \(L^2\) projection on polynomial spaces with random evaluations. (English) Zbl 1301.41005 Found. Comput. Math. 14, No. 3, 419-456 (2014). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A10 41A25 65N12 65N15 65N35 PDFBibTeX XMLCite \textit{G. Migliorati} et al., Found. Comput. Math. 14, No. 3, 419--456 (2014; Zbl 1301.41005) Full Text: DOI
Lundervold, Alexander; Munthe-Kaas, Hans Backward error analysis and the substitution law for Lie group integrators. (English) Zbl 1323.65090 Found. Comput. Math. 13, No. 2, 161-186 (2013). MSC: 65L70 65L06 65L05 PDFBibTeX XMLCite \textit{A. Lundervold} and \textit{H. Munthe-Kaas}, Found. Comput. Math. 13, No. 2, 161--186 (2013; Zbl 1323.65090) Full Text: DOI arXiv
Shen, Jie; Wang, Zhong-Qing Error analysis of the Strang time-splitting Laguerre-Hermite/Hermite collocation methods for the Gross-Pitaevskii equation. (English) Zbl 1264.65168 Found. Comput. Math. 13, No. 1, 99-137 (2013). Reviewer: Marius Ghergu (Dublin) MSC: 65M70 65M15 35Q35 PDFBibTeX XMLCite \textit{J. Shen} and \textit{Z.-Q. Wang}, Found. Comput. Math. 13, No. 1, 99--137 (2013; Zbl 1264.65168) Full Text: DOI
Huybrechs, Daan; Olver, Sheehan Superinterpolation in highly oscillatory quadrature. (English) Zbl 1246.65044 Found. Comput. Math. 12, No. 2, 203-228 (2012). MSC: 65D32 41A05 41A60 PDFBibTeX XMLCite \textit{D. Huybrechs} and \textit{S. Olver}, Found. Comput. Math. 12, No. 2, 203--228 (2012; Zbl 1246.65044) Full Text: DOI Link
Faou, Erwan; Grébert, Benoît Hamiltonian interpolation of splitting approximations for nonlinear PDEs. (English) Zbl 1232.65176 Found. Comput. Math. 11, No. 4, 381-415 (2011). Reviewer: T. C. Mohan (Dehra Dun) MSC: 65P10 37M15 35L70 PDFBibTeX XMLCite \textit{E. Faou} and \textit{B. Grébert}, Found. Comput. Math. 11, No. 4, 381--415 (2011; Zbl 1232.65176) Full Text: DOI arXiv
Demanet, Laurent; Peyré, Gabriel Compressive wave computation. (English) Zbl 1222.65108 Found. Comput. Math. 11, No. 3, 257-303 (2011). Reviewer: Temur Jangveladze (Tbilisi) MSC: 65M70 35L05 35P10 76Q05 76M22 PDFBibTeX XMLCite \textit{L. Demanet} and \textit{G. Peyré}, Found. Comput. Math. 11, No. 3, 257--303 (2011; Zbl 1222.65108) Full Text: DOI arXiv
Bornemann, Folkmar Accuracy and stability of computing high-order derivatives of analytic functions by Cauchy integrals. (English) Zbl 1213.65039 Found. Comput. Math. 11, No. 1, 1-63 (2011). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 65D25 65G50 30D15 65E05 30E20 PDFBibTeX XMLCite \textit{F. Bornemann}, Found. Comput. Math. 11, No. 1, 1--63 (2011; Zbl 1213.65039) Full Text: DOI arXiv
Creutzig, Jakob; Dereich, Steffen; Müller-Gronbach, Thomas; Ritter, Klaus Infinite-dimensional quadrature and approximation of distributions. (English) Zbl 1177.65011 Found. Comput. Math. 9, No. 4, 391-429 (2009). Reviewer: Gong Guanglu (Beijing) MSC: 65C05 60G15 60H10 41A46 PDFBibTeX XMLCite \textit{J. Creutzig} et al., Found. Comput. Math. 9, No. 4, 391--429 (2009; Zbl 1177.65011) Full Text: DOI arXiv
Müller-Gronbach, Thomas; Ritter, Klaus Lower bounds and nonuniform time discretization for approximation of stochastic heat equations. (English) Zbl 1136.60044 Found. Comput. Math. 7, No. 2, 135-181 (2007). Reviewer: Carles Rovira (Barcelona) MSC: 60H15 60H35 65C30 PDFBibTeX XMLCite \textit{T. Müller-Gronbach} and \textit{K. Ritter}, Found. Comput. Math. 7, No. 2, 135--181 (2007; Zbl 1136.60044) Full Text: DOI Link
Demmel, J.; Diament, B.; Malajovich, G. On the complexity of computing error bounds. (English) Zbl 0997.65074 Found. Comput. Math. 1, No. 1, 101-125 (2001). Reviewer: F.Uhlig (Auburn) MSC: 65F35 15A60 15A09 65Y20 PDFBibTeX XMLCite \textit{J. Demmel} et al., Found. Comput. Math. 1, No. 1, 101--125 (2001; Zbl 0997.65074)
Cano, B.; Stuart, A. M.; Süli, E.; Warren, J. O. Stiff oscillatory systems, delta jumps and white noise. (English) Zbl 1005.34033 Found. Comput. Math. 1, No. 1, 69-99 (2001). Reviewer: Carlos A.Braumann (Evora) MSC: 34C15 34F05 82C80 60H10 65L70 PDFBibTeX XMLCite \textit{B. Cano} et al., Found. Comput. Math. 1, No. 1, 69--99 (2001; Zbl 1005.34033)