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
García-Archilla, Bosco; John, Volker; Novo, Julia POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution. (English) Zbl 1516.65086 SIAM J. Numer. Anal. 61, No. 3, 1340-1368 (2023). MSC: 65M60 65M06 65N30 65M99 65M12 65M15 76D05 PDFBibTeX XMLCite \textit{B. García-Archilla} et al., SIAM J. Numer. Anal. 61, No. 3, 1340--1368 (2023; Zbl 1516.65086) Full Text: DOI arXiv
Manns, Paul; Ulbrich, Stefan A simplified Newton method to generate snapshots for POD models of semilinear optimal control problems. (English) Zbl 07596682 SIAM J. Numer. Anal. 60, No. 5, 2807-2833 (2022). MSC: 65M60 65M06 65N30 65M99 65K10 49M41 35K20 PDFBibTeX XMLCite \textit{P. Manns} and \textit{S. Ulbrich}, SIAM J. Numer. Anal. 60, No. 5, 2807--2833 (2022; Zbl 07596682) Full Text: DOI arXiv
Koc, Birgul; Rubino, Samuele; Schneier, Michael; Singler, John; Iliescu, Traian On optimal pointwise in time error bounds and difference quotients for the proper orthogonal decomposition. (English) Zbl 1493.65154 SIAM J. Numer. Anal. 59, No. 4, 2163-2196 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M99 65F20 65M15 35K05 35Q79 PDFBibTeX XMLCite \textit{B. Koc} et al., SIAM J. Numer. Anal. 59, No. 4, 2163--2196 (2021; Zbl 1493.65154) Full Text: DOI arXiv
Novo, Julia; Rubino, Samuele Error analysis of proper orthogonal decomposition stabilized methods for incompressible flows. (English) Zbl 1461.35184 SIAM J. Numer. Anal. 59, No. 1, 334-369 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76B75 65M60 65M20 65M15 PDFBibTeX XMLCite \textit{J. Novo} and \textit{S. Rubino}, SIAM J. Numer. Anal. 59, No. 1, 334--369 (2021; Zbl 1461.35184) Full Text: DOI arXiv
Locke, Sarah; Singler, John New proper orthogonal decomposition approximation theory for PDE solution data. (English) Zbl 1453.65114 SIAM J. Numer. Anal. 58, No. 6, 3251-3285 (2020). MSC: 65J05 65M60 65M15 PDFBibTeX XMLCite \textit{S. Locke} and \textit{J. Singler}, SIAM J. Numer. Anal. 58, No. 6, 3251--3285 (2020; Zbl 1453.65114) Full Text: DOI arXiv
Kean, Kiera; Schneier, Michael Error analysis of supremizer pressure recovery for POD based reduced-order models of the time-dependent Navier-Stokes equations. (English) Zbl 1447.65080 SIAM J. Numer. Anal. 58, No. 4, 2235-2264 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M12 65M15 76D05 35Q30 65M99 PDFBibTeX XMLCite \textit{K. Kean} and \textit{M. Schneier}, SIAM J. Numer. Anal. 58, No. 4, 2235--2264 (2020; Zbl 1447.65080) Full Text: DOI arXiv
Rubino, Samuele Numerical analysis of a projection-based stabilized POD-ROM for incompressible flows. (English) Zbl 1450.65129 SIAM J. Numer. Anal. 58, No. 4, 2019-2058 (2020). Reviewer: Dana Černá (Liberec) MSC: 65M60 65M06 65M12 65M15 76D05 76M10 PDFBibTeX XMLCite \textit{S. Rubino}, SIAM J. Numer. Anal. 58, No. 4, 2019--2058 (2020; Zbl 1450.65129) Full Text: DOI arXiv
DeCaria, Victor; Iliescu, Traian; Layton, William; McLaughlin, Michael; Schneier, Michael An artificial compression reduced order model. (English) Zbl 1434.76064 SIAM J. Numer. Anal. 58, No. 1, 565-589 (2020). MSC: 76M10 65M12 65M15 65M60 76D05 PDFBibTeX XMLCite \textit{V. DeCaria} et al., SIAM J. Numer. Anal. 58, No. 1, 565--589 (2020; Zbl 1434.76064) Full Text: DOI arXiv
Gunzburger, Max; Jiang, Nan; Schneier, Michael An ensemble-proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. (English) Zbl 1394.76067 SIAM J. Numer. Anal. 55, No. 1, 286-304 (2017). MSC: 76M10 65M60 65M15 76D05 PDFBibTeX XMLCite \textit{M. Gunzburger} et al., SIAM J. Numer. Anal. 55, No. 1, 286--304 (2017; Zbl 1394.76067) Full Text: DOI arXiv
Chaturantabut, Saifon; Sorensen, Danny C. A state space error estimate for POD-DEIM nonlinear model reduction. (English) Zbl 1237.93035 SIAM J. Numer. Anal. 50, No. 1, 46-63 (2012). MSC: 93B11 93C10 93C20 PDFBibTeX XMLCite \textit{S. Chaturantabut} and \textit{D. C. Sorensen}, SIAM J. Numer. Anal. 50, No. 1, 46--63 (2012; Zbl 1237.93035) Full Text: DOI Link
Luo, Zhendong; Chen, Jing; Navon, I. M.; Yang, Xiaozhong Mixed finite element formulation and error estimates based on proper orthogonal decomposition for the nonstationary Navier-Stokes equations. (English) Zbl 1391.76351 SIAM J. Numer. Anal. 47, No. 1, 1-19 (2009). MSC: 76M10 65N30 35Q35 76D05 PDFBibTeX XMLCite \textit{Z. Luo} et al., SIAM J. Numer. Anal. 47, No. 1, 1--19 (2009; Zbl 1391.76351) Full Text: DOI
Homescu, Chris; Petzold, Linda R.; Serban, Radu Error estimation for reduced-order models of dynamical systems. (English) Zbl 1096.65076 SIAM J. Numer. Anal. 43, No. 4, 1693-1714 (2005). MSC: 65L70 65L05 34A34 PDFBibTeX XMLCite \textit{C. Homescu} et al., SIAM J. Numer. Anal. 43, No. 4, 1693--1714 (2005; Zbl 1096.65076) Full Text: DOI Link
Aitbayev, Rakhim Multilevel preconditioners for non-self-adjoint or indefinite orthogonal spline collocation problems. (English) Zbl 1090.65131 SIAM J. Numer. Anal. 43, No. 2, 686-706 (2005). Reviewer: Dietrich Braess (Bochum) MSC: 65N35 65N55 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{R. Aitbayev}, SIAM J. Numer. Anal. 43, No. 2, 686--706 (2005; Zbl 1090.65131) Full Text: DOI Link
Rathinam, Muruhan; Petzold, Linda R. A new look at proper orthogonal decomposition. (English) Zbl 1053.65106 SIAM J. Numer. Anal. 41, No. 5, 1893-1925 (2003). MSC: 65Y20 37M99 PDFBibTeX XMLCite \textit{M. Rathinam} and \textit{L. R. Petzold}, SIAM J. Numer. Anal. 41, No. 5, 1893--1925 (2003; Zbl 1053.65106) Full Text: DOI
Bialecki, Bernard; Dryja, Maksymilian A nonoverlapping domain decomposition method for orthogonal spline collocation problems. (English) Zbl 1055.65139 SIAM J. Numer. Anal. 41, No. 5, 1709-1728 (2003). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N55 65N35 65N12 65N15 35J05 65T50 65F35 65F10 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{M. Dryja}, SIAM J. Numer. Anal. 41, No. 5, 1709--1728 (2003; Zbl 1055.65139) Full Text: DOI
Aitbayev, Rakhim; Bialecki, Bernard A preconditioned conjugate gradient method for nonselfadjoint or indefinite orthogonal spline collocation problems. (English) Zbl 1050.65115 SIAM J. Numer. Anal. 41, No. 2, 589-604 (2003). Reviewer: Constantin Popa (Constanta) MSC: 65N35 35J25 65F10 65N12 65F35 PDFBibTeX XMLCite \textit{R. Aitbayev} and \textit{B. Bialecki}, SIAM J. Numer. Anal. 41, No. 2, 589--604 (2003; Zbl 1050.65115) Full Text: DOI
Kunisch, K.; Volkwein, S. Galerkin proper orthogonal decomposition methods for a general equation in fluid dynamics. (English) Zbl 1075.65118 SIAM J. Numer. Anal. 40, No. 2, 492-515 (2002). MSC: 65M15 35A35 35K20 35Q30 65M60 76D05 76M25 PDFBibTeX XMLCite \textit{K. Kunisch} and \textit{S. Volkwein}, SIAM J. Numer. Anal. 40, No. 2, 492--515 (2002; Zbl 1075.65118) Full Text: DOI
Rathinam, Muruhan; Petzold, Linda R. Dynamic iteration using reduced order models: A method for simulation of large scale modular systems. (English) Zbl 1033.65056 SIAM J. Numer. Anal. 40, No. 4, 1446-1474 (2002). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65L05 65L80 34A34 34A09 PDFBibTeX XMLCite \textit{M. Rathinam} and \textit{L. R. Petzold}, SIAM J. Numer. Anal. 40, No. 4, 1446--1474 (2002; Zbl 1033.65056) Full Text: DOI
Hyman, James M.; Shashkov, Mikhail The orthogonal decomposition theorems for mimetic finite difference methods. (English) Zbl 0972.65077 SIAM J. Numer. Anal. 36, No. 3, 788-818 (1998). MSC: 65N06 53A45 35J65 26B12 65D25 PDFBibTeX XMLCite \textit{J. M. Hyman} and \textit{M. Shashkov}, SIAM J. Numer. Anal. 36, No. 3, 788--818 (1998; Zbl 0972.65077) Full Text: DOI
Bialecki, Bernard A fast domain decomposition Poisson solver on a rectangle for Hermite bicubic orthogonal spline collocation. (English) Zbl 0774.65080 SIAM J. Numer. Anal. 30, No. 2, 425-434 (1993). Reviewer: Z.Dostal (Ostrava) MSC: 65N55 65N35 65N06 35J05 PDFBibTeX XMLCite \textit{B. Bialecki}, SIAM J. Numer. Anal. 30, No. 2, 425--434 (1993; Zbl 0774.65080) Full Text: DOI
Bialecki, Bernard; Fairweather, Graeme; Bennett, Karin R. Fast direct solvers for piecewise Hermite bicubic orthogonal spline collocation equations. (English) Zbl 0752.65076 SIAM J. Numer. Anal. 29, No. 1, 156-173 (1992). Reviewer: M.Plum (Clausthal-Zellerfeld) MSC: 65N35 65F05 65Y05 65F15 35J05 PDFBibTeX XMLCite \textit{B. Bialecki} et al., SIAM J. Numer. Anal. 29, No. 1, 156--173 (1992; Zbl 0752.65076) Full Text: DOI
Falk, Richard S.; Morley, Mary E. Equivalence of finite element methods for problems in elasticity. (English) Zbl 0722.73068 SIAM J. Numer. Anal. 27, No. 6, 1486-1505 (1990). Reviewer: Cz.I.Bajer (Clermont-Ferrand) MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{R. S. Falk} and \textit{M. E. Morley}, SIAM J. Numer. Anal. 27, No. 6, 1486--1505 (1990; Zbl 0722.73068) Full Text: DOI
Hawkins, W. G.; Barrett, H. H. A numerically stable circular harmonic reconstruction algorithm. (English) Zbl 0616.65138 SIAM J. Numer. Anal. 23, 873-890 (1986). Reviewer: F.Natterer MSC: 65R10 65R20 44A15 42A16 45E10 33C45 PDFBibTeX XMLCite \textit{W. G. Hawkins} and \textit{H. H. Barrett}, SIAM J. Numer. Anal. 23, 873--890 (1986; Zbl 0616.65138) Full Text: DOI