Tenderini, Riccardo; Mueller, Nicholas; Deparis, Simone Space-time reduced basis methods for parametrized unsteady Stokes equations. (English) Zbl 07816741 SIAM J. Sci. Comput. 46, No. 1, B1-B32 (2024). MSC: 35Q92 35Q35 76D07 76Z05 65M60 65M06 65L12 65N30 65M12 65M22 65K10 92C35 92C50 PDFBibTeX XMLCite \textit{R. Tenderini} et al., SIAM J. Sci. Comput. 46, No. 1, B1--B32 (2024; Zbl 07816741) Full Text: DOI arXiv
Pagliantini, Cecilia; Vismara, Federico Gradient-preserving hyper-reduction of nonlinear dynamical systems via discrete empirical interpolation. (English) Zbl 1526.65057 SIAM J. Sci. Comput. 45, No. 5, A2725-A2754 (2023). MSC: 65P10 37N30 65L99 PDFBibTeX XMLCite \textit{C. Pagliantini} and \textit{F. Vismara}, SIAM J. Sci. Comput. 45, No. 5, A2725--A2754 (2023; Zbl 1526.65057) Full Text: DOI arXiv
Guglielmi, Nicola; Manucci, Mattia Model order reduction in contour integral methods for parametric PDEs. (English) Zbl 1515.65234 SIAM J. Sci. Comput. 45, No. 4, A1711-A1740 (2023). MSC: 65M20 65J10 65L05 65M99 65R10 PDFBibTeX XMLCite \textit{N. Guglielmi} and \textit{M. Manucci}, SIAM J. Sci. Comput. 45, No. 4, A1711--A1740 (2023; Zbl 1515.65234) Full Text: DOI arXiv
Smetana, Kathrin; Taddei, Tommaso Localized model reduction for nonlinear elliptic partial differential equations: localized training, partition of unity, and adaptive enrichment. (English) Zbl 1517.65117 SIAM J. Sci. Comput. 45, No. 3, A1300-A1331 (2023). MSC: 65N30 65K10 41A45 35J15 35J60 35N30 62D05 PDFBibTeX XMLCite \textit{K. Smetana} and \textit{T. Taddei}, SIAM J. Sci. Comput. 45, No. 3, A1300--A1331 (2023; Zbl 1517.65117) Full Text: DOI arXiv
Schleuß, Julia; Smetana, Kathrin; ter Maat, Lukas Randomized quasi-optimal local approximation spaces in time. (English) Zbl 07693356 SIAM J. Sci. Comput. 45, No. 3, A1066-A1096 (2023). MSC: 65Mxx 65C20 65M12 65M15 65M55 65M60 65M75 PDFBibTeX XMLCite \textit{J. Schleuß} et al., SIAM J. Sci. Comput. 45, No. 3, A1066--A1096 (2023; Zbl 07693356) Full Text: DOI arXiv
Schwerdtner, Paul; Voigt, Matthias SOBMOR: structured optimization-based model order reduction. (English) Zbl 1514.93031 SIAM J. Sci. Comput. 45, No. 2, A502-A529 (2023). MSC: 93B11 93B70 PDFBibTeX XMLCite \textit{P. Schwerdtner} and \textit{M. Voigt}, SIAM J. Sci. Comput. 45, No. 2, A502--A529 (2023; Zbl 1514.93031) Full Text: DOI arXiv
Rim, Donsub; Peherstorfer, Benjamin; Mandli, Kyle T. Manifold approximations via transported subspaces: model reduction for transport-dominated problems. (English) Zbl 1514.78017 SIAM J. Sci. Comput. 45, No. 1, A170-A199 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 78M34 78M12 78M20 65M08 65M06 65N08 65D05 41A46 35F20 PDFBibTeX XMLCite \textit{D. Rim} et al., SIAM J. Sci. Comput. 45, No. 1, A170--A199 (2023; Zbl 1514.78017) Full Text: DOI arXiv
Mengi, Emre Large-scale estimation of dominant poles of a transfer function by an interpolatory framework. (English) Zbl 1501.65018 SIAM J. Sci. Comput. 44, No. 4, A2412-A2438 (2022). MSC: 65F15 93C05 93A15 34K17 PDFBibTeX XMLCite \textit{E. Mengi}, SIAM J. Sci. Comput. 44, No. 4, A2412--A2438 (2022; Zbl 1501.65018) Full Text: DOI arXiv
Anderson, William; Farazmand, Mohammad Evolution of nonlinear reduced-order solutions for PDEs with conserved quantities. (English) Zbl 1484.65206 SIAM J. Sci. Comput. 44, No. 1, A176-A197 (2022). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65M80 65P99 37L65 37K06 70H33 35D35 35A01 35A02 35Q31 35Q55 PDFBibTeX XMLCite \textit{W. Anderson} and \textit{M. Farazmand}, SIAM J. Sci. Comput. 44, No. 1, A176--A197 (2022; Zbl 1484.65206) Full Text: DOI arXiv
Tencer, John; Potter, Kevin A tailored convolutional neural network for nonlinear manifold learning of computational physics data using unstructured spatial discretizations. (English) Zbl 1511.35292 SIAM J. Sci. Comput. 43, No. 4, A2581-A2613 (2021). MSC: 35Q35 35Q68 35Q74 35Q79 92B20 68T07 PDFBibTeX XMLCite \textit{J. Tencer} and \textit{K. Potter}, SIAM J. Sci. Comput. 43, No. 4, A2581--A2613 (2021; Zbl 1511.35292) Full Text: DOI arXiv
Benner, Peter; Goyal, Pawan Interpolation-based model order reduction for polynomial systems. (English) Zbl 1458.93041 SIAM J. Sci. Comput. 43, No. 1, A84-A108 (2021). MSC: 93B11 93C10 93C05 15A69 PDFBibTeX XMLCite \textit{P. Benner} and \textit{P. Goyal}, SIAM J. Sci. Comput. 43, No. 1, A84--A108 (2021; Zbl 1458.93041) Full Text: DOI arXiv
Lama, Sonam; Zweck, John; Goeckner, Matthew A higher order moment preserving reduction scheme for the stochastic weighted particle method. (English) Zbl 1452.65025 SIAM J. Sci. Comput. 42, No. 5, A2889-A2909 (2020). MSC: 65C35 65Z05 76P05 PDFBibTeX XMLCite \textit{S. Lama} et al., SIAM J. Sci. Comput. 42, No. 5, A2889--A2909 (2020; Zbl 1452.65025) Full Text: DOI arXiv
Pichi, Federico; Quaini, Annalisa; Rozza, Gianluigi A reduced order modeling technique to study bifurcating phenomena: application to the Gross-Pitaevskii equation. (English) Zbl 1451.65227 SIAM J. Sci. Comput. 42, No. 5, B1115-B1135 (2020). MSC: 65P30 35Q40 PDFBibTeX XMLCite \textit{F. Pichi} et al., SIAM J. Sci. Comput. 42, No. 5, B1115--B1135 (2020; Zbl 1451.65227) Full Text: DOI arXiv
Bertoli, Guillaume; Vilmart, Gilles Strang splitting method for semilinear parabolic problems with inhomogeneous boundary conditions: a correction based on the flow of the nonlinearity. (English) Zbl 1447.65058 SIAM J. Sci. Comput. 42, No. 3, A1913-A1934 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M20 65M12 65L04 35K58 35K57 PDFBibTeX XMLCite \textit{G. Bertoli} and \textit{G. Vilmart}, SIAM J. Sci. Comput. 42, No. 3, A1913--A1934 (2020; Zbl 1447.65058) Full Text: DOI arXiv
Choi, Youngsoo; Coombs, Deshawn; Anderson, Robert SNS: a solution-based nonlinear subspace method for time-dependent model order reduction. (English) Zbl 1442.37111 SIAM J. Sci. Comput. 42, No. 2, A1116-A1146 (2020). MSC: 37N30 37M99 65L05 65L06 65L60 PDFBibTeX XMLCite \textit{Y. Choi} et al., SIAM J. Sci. Comput. 42, No. 2, A1116--A1146 (2020; Zbl 1442.37111) Full Text: DOI arXiv
Taddei, Tommaso A registration method for model order reduction: data compression and geometry reduction. (English) Zbl 1439.65196 SIAM J. Sci. Comput. 42, No. 2, A997-A1027 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 41A45 35L02 35J15 90C26 PDFBibTeX XMLCite \textit{T. Taddei}, SIAM J. Sci. Comput. 42, No. 2, A997--A1027 (2020; Zbl 1439.65196) Full Text: DOI arXiv
Manteuffel, Thomas A.; MüNzenmaier, Steffen; Ruge, John; Southworth, Ben Nonsymmetric reduction-based algebraic multigrid. (English) Zbl 1436.65027 SIAM J. Sci. Comput. 41, No. 5, S242-S268 (2019). MSC: 65F08 65F10 65N22 65N55 35L02 PDFBibTeX XMLCite \textit{T. A. Manteuffel} et al., SIAM J. Sci. Comput. 41, No. 5, S242--S268 (2019; Zbl 1436.65027) Full Text: DOI arXiv
Pulch, Roland; Narayan, Akil Balanced truncation for model order reduction of linear dynamical systems with quadratic outputs. (English) Zbl 1420.65073 SIAM J. Sci. Comput. 41, No. 4, A2270-A2295 (2019). MSC: 65L05 34C20 93B40 PDFBibTeX XMLCite \textit{R. Pulch} and \textit{A. Narayan}, SIAM J. Sci. Comput. 41, No. 4, A2270--A2295 (2019; Zbl 1420.65073) Full Text: DOI arXiv
Maday, Yvon; Taddei, Tommaso Adaptive PBDW approach to state estimation: noisy observations; user-defined update spaces. (English) Zbl 1426.76551 SIAM J. Sci. Comput. 41, No. 4, B669-B693 (2019). MSC: 76M25 65N30 65N15 PDFBibTeX XMLCite \textit{Y. Maday} and \textit{T. Taddei}, SIAM J. Sci. Comput. 41, No. 4, B669--B693 (2019; Zbl 1426.76551) Full Text: DOI arXiv
Giraldi, Loic; Nouy, Anthony Weakly intrusive low-rank approximation method for nonlinear parameter-dependent equations. (English) Zbl 07099313 SIAM J. Sci. Comput. 41, No. 3, A1777-A1792 (2019). MSC: 65J15 65D05 65N12 PDFBibTeX XMLCite \textit{L. Giraldi} and \textit{A. Nouy}, SIAM J. Sci. Comput. 41, No. 3, A1777--A1792 (2019; Zbl 07099313) Full Text: DOI arXiv
Smetana, Kathrin; Zahm, Olivier; Patera, Anthony T. Randomized residual-based error estimators for parametrized equations. (English) Zbl 1411.65148 SIAM J. Sci. Comput. 41, No. 2, A900-A926 (2019). MSC: 65N15 65C05 65N30 68Q25 62G15 PDFBibTeX XMLCite \textit{K. Smetana} et al., SIAM J. Sci. Comput. 41, No. 2, A900--A926 (2019; Zbl 1411.65148) Full Text: DOI arXiv
Howse, Alexander J.; de Sterck, Hans; Falgout, Robert D.; MacLachlan, Scott; Schroder, Jacob Parallel-in-time multigrid with adaptive spatial coarsening for the linear advection and inviscid Burgers equations. (English) Zbl 1407.65040 SIAM J. Sci. Comput. 41, No. 1, A538-A565 (2019). MSC: 65F10 65M22 65M55 35L03 35L60 PDFBibTeX XMLCite \textit{A. J. Howse} et al., SIAM J. Sci. Comput. 41, No. 1, A538--A565 (2019; Zbl 1407.65040) Full Text: DOI
Buhr, Andreas; Smetana, Kathrin Randomized local model order reduction. (English) Zbl 1394.65135 SIAM J. Sci. Comput. 40, No. 4, A2120-A2151 (2018). MSC: 65N15 65N12 65N55 65N30 65C20 65N25 PDFBibTeX XMLCite \textit{A. Buhr} and \textit{K. Smetana}, SIAM J. Sci. Comput. 40, No. 4, A2120--A2151 (2018; Zbl 1394.65135) Full Text: DOI arXiv
Mowlavi, Saviz; Sapsis, Themistoklis P. Model order reduction for stochastic dynamical systems with continuous symmetries. (English) Zbl 06890197 SIAM J. Sci. Comput. 40, No. 3, A1669-A1695 (2018). MSC: 65C30 37M05 58J70 76M35 76M60 PDFBibTeX XMLCite \textit{S. Mowlavi} and \textit{T. P. Sapsis}, SIAM J. Sci. Comput. 40, No. 3, A1669--A1695 (2018; Zbl 06890197) Full Text: DOI arXiv
Taddei, Tommaso; Patera, Anthony T. A localization strategy for data assimilation; application to state estimation and parameter estimation. (English) Zbl 1426.65144 SIAM J. Sci. Comput. 40, No. 2, B611-B636 (2018). Reviewer: Petr Sváček (Praha) MSC: 65M32 93E24 PDFBibTeX XMLCite \textit{T. Taddei} and \textit{A. T. Patera}, SIAM J. Sci. Comput. 40, No. 2, B611--B636 (2018; Zbl 1426.65144) Full Text: DOI
Gosea, I. V.; Petreczky, M.; Antoulas, A. C. Data-driven model order reduction of linear switched systems in the Loewner framework. (English) Zbl 1390.35017 SIAM J. Sci. Comput. 40, No. 2, B572-B610 (2018). MSC: 35B30 41A20 41A63 93A15 93B15 93B30 93C35 93C80 PDFBibTeX XMLCite \textit{I. V. Gosea} et al., SIAM J. Sci. Comput. 40, No. 2, B572--B610 (2018; Zbl 1390.35017) Full Text: DOI arXiv
Sargsyan, Syuzanna; Brunton, Steven L.; Kutz, J. Nathan Online interpolation point refinement for reduced-order models using a genetic algorithm. (English) Zbl 1383.65123 SIAM J. Sci. Comput. 40, No. 1, B283-B304 (2018). MSC: 65M55 35Q30 35Q56 PDFBibTeX XMLCite \textit{S. Sargsyan} et al., SIAM J. Sci. Comput. 40, No. 1, B283--B304 (2018; Zbl 1383.65123) Full Text: DOI arXiv
Qian, Elizabeth; Grepl, Martin; Veroy, Karen; Willcox, Karen A certified trust region reduced basis approach to PDE-constrained optimization. (English) Zbl 1377.35078 SIAM J. Sci. Comput. 39, No. 5, S434-S460 (2017). MSC: 35J20 35K10 49K20 65K10 65M15 90C06 90C30 PDFBibTeX XMLCite \textit{E. Qian} et al., SIAM J. Sci. Comput. 39, No. 5, S434--S460 (2017; Zbl 1377.35078) Full Text: DOI
Falgout, R. D.; Manteuffel, T. A.; O’Neill, B.; Schroder, J. B. Multigrid reduction in time for nonlinear parabolic problems: a case study. (English) Zbl 1395.65066 SIAM J. Sci. Comput. 39, No. 5, S298-S322 (2017). MSC: 65M55 35K15 65Y05 PDFBibTeX XMLCite \textit{R. D. Falgout} et al., SIAM J. Sci. Comput. 39, No. 5, S298--S322 (2017; Zbl 1395.65066) Full Text: DOI
Lass, Oliver; Ulbrich, Stefan Model order reduction techniques with a posteriori error control for nonlinear robust optimization governed by partial differential equations. (English) Zbl 1428.35644 SIAM J. Sci. Comput. 39, No. 5, S112-S139 (2017). MSC: 35Q93 49J20 49K20 90C31 93C20 PDFBibTeX XMLCite \textit{O. Lass} and \textit{S. Ulbrich}, SIAM J. Sci. Comput. 39, No. 5, S112--S139 (2017; Zbl 1428.35644) Full Text: DOI
Alla, Alessandro; Kutz, J. Nathan Nonlinear model order reduction via dynamic mode decomposition. (English) Zbl 1373.65090 SIAM J. Sci. Comput. 39, No. 5, B778-B796 (2017). MSC: 65P99 37M05 PDFBibTeX XMLCite \textit{A. Alla} and \textit{J. N. Kutz}, SIAM J. Sci. Comput. 39, No. 5, B778--B796 (2017; Zbl 1373.65090) Full Text: DOI arXiv
Billaud-Friess, Marie; Nouy, Anthony Dynamical model reduction method for solving parameter-dependent dynamical systems. (English) Zbl 1373.65091 SIAM J. Sci. Comput. 39, No. 4, A1766-A1792 (2017). MSC: 65P99 37M05 65M15 PDFBibTeX XMLCite \textit{M. Billaud-Friess} and \textit{A. Nouy}, SIAM J. Sci. Comput. 39, No. 4, A1766--A1792 (2017; Zbl 1373.65091) Full Text: DOI arXiv
Zahm, Olivier; Billaud-Friess, Marie; Nouy, Anthony Projection-based model order reduction methods for the estimation of vector-valued variables of interest. (English) Zbl 1372.65314 SIAM J. Sci. Comput. 39, No. 4, A1647-A1674 (2017). MSC: 65N30 35J25 35B30 65N15 PDFBibTeX XMLCite \textit{O. Zahm} et al., SIAM J. Sci. Comput. 39, No. 4, A1647--A1674 (2017; Zbl 1372.65314) Full Text: DOI arXiv
Buhr, Andreas; Engwer, Christian; Ohlberger, Mario; Rave, Stephan ArbiLoMod, a simulation technique designed for arbitrary local modifications. (English) Zbl 1369.65160 SIAM J. Sci. Comput. 39, No. 4, A1435-A1465 (2017). MSC: 65N55 65N30 PDFBibTeX XMLCite \textit{A. Buhr} et al., SIAM J. Sci. Comput. 39, No. 4, A1435--A1465 (2017; Zbl 1369.65160) Full Text: DOI arXiv
O’Connell, Meghan; Kilmer, Misha E.; de Sturler, Eric; Gugercin, Serkan Computing reduced order models via inner-outer Krylov recycling in diffuse optical tomography. (English) Zbl 1365.65242 SIAM J. Sci. Comput. 39, No. 2, B272-B297 (2017). MSC: 65N21 35R30 65D18 PDFBibTeX XMLCite \textit{M. O'Connell} et al., SIAM J. Sci. Comput. 39, No. 2, B272--B297 (2017; Zbl 1365.65242) Full Text: DOI arXiv
Bader, Eduard; Kärcher, Mark; Grepl, Martin A.; Veroy, Karen Certified reduced basis methods for parametrized distributed elliptic optimal control problems with control constraints. (English) Zbl 1426.49029 SIAM J. Sci. Comput. 38, No. 6, A3921-A3946 (2016). MSC: 49M25 65K10 65N15 65N30 93C20 PDFBibTeX XMLCite \textit{E. Bader} et al., SIAM J. Sci. Comput. 38, No. 6, A3921--A3946 (2016; Zbl 1426.49029) Full Text: DOI
Einkemmer, Lukas; Ostermann, Alexander Overcoming order reduction in diffusion-reaction splitting. II: Oblique boundary conditions. (English) Zbl 1355.65121 SIAM J. Sci. Comput. 38, No. 6, A3741-A3757 (2016). MSC: 65M20 65M12 65L04 PDFBibTeX XMLCite \textit{L. Einkemmer} and \textit{A. Ostermann}, SIAM J. Sci. Comput. 38, No. 6, A3741--A3757 (2016; Zbl 1355.65121) Full Text: DOI arXiv
Milk, René; Rave, Stephan; Schindler, Felix PyMOR – generic algorithms and interfaces for model order reduction. (English) Zbl 1352.65453 SIAM J. Sci. Comput. 38, No. 5, S194-S216 (2016). MSC: 65N22 65Y15 65Y20 35L03 35J20 68N01 PDFBibTeX XMLCite \textit{R. Milk} et al., SIAM J. Sci. Comput. 38, No. 5, S194--S216 (2016; Zbl 1352.65453) Full Text: DOI arXiv
Zahm, Olivier; Nouy, Anthony Interpolation of inverse operators for preconditioning parameter-dependent equations. (English) Zbl 1382.65035 SIAM J. Sci. Comput. 38, No. 2, A1044-A1074 (2016). MSC: 65D05 65F08 15B52 65F35 PDFBibTeX XMLCite \textit{O. Zahm} and \textit{A. Nouy}, SIAM J. Sci. Comput. 38, No. 2, A1044--A1074 (2016; Zbl 1382.65035) Full Text: DOI arXiv
Benner, Peter; Kürschner, Patrick; Saak, Jens Frequency-limited balanced truncation with low-rank approximations. (English) Zbl 1391.65123 SIAM J. Sci. Comput. 38, No. 1, A471-A499 (2016). MSC: 65F60 15A16 15A18 15A24 93B11 93A15 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM J. Sci. Comput. 38, No. 1, A471--A499 (2016; Zbl 1391.65123) Full Text: DOI
Ohlberger, M.; Schindler, F. Error control for the localized reduced basis multiscale method with adaptive on-line enrichment. (English) Zbl 1329.65255 SIAM J. Sci. Comput. 37, No. 6, A2865-A2895 (2015). MSC: 65N15 65N55 65N30 65Y20 35J20 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{F. Schindler}, SIAM J. Sci. Comput. 37, No. 6, A2865--A2895 (2015; Zbl 1329.65255) Full Text: DOI arXiv
Liao, Qifeng; Willcox, Karen A domain decomposition approach for uncertainty analysis. (English) Zbl 1327.35464 SIAM J. Sci. Comput. 37, No. 1, A103-A133 (2015). MSC: 35R60 60H15 62D99 65N55 PDFBibTeX XMLCite \textit{Q. Liao} and \textit{K. Willcox}, SIAM J. Sci. Comput. 37, No. 1, A103--A133 (2015; Zbl 1327.35464) Full Text: DOI Link
Zhang, Yongjin; Feng, Lihong; Li, Suzhou; Benner, Peter An efficient output error estimation for model order reduction of parametrized evolution equations. (English) Zbl 1382.65281 SIAM J. Sci. Comput. 37, No. 6, B910-B936 (2015). MSC: 65M15 65D15 35L90 35K90 PDFBibTeX XMLCite \textit{Y. Zhang} et al., SIAM J. Sci. Comput. 37, No. 6, B910--B936 (2015; Zbl 1382.65281) Full Text: DOI Link
Drmač, Z.; Gugercin, S.; Beattie, C. Vector fitting for matrix-valued rational approximation. (English) Zbl 1323.93050 SIAM J. Sci. Comput. 37, No. 5, A2346-A2379 (2015). MSC: 93C80 41A05 49K15 49M05 93A15 93C05 93C15 PDFBibTeX XMLCite \textit{Z. Drmač} et al., SIAM J. Sci. Comput. 37, No. 5, A2346--A2379 (2015; Zbl 1323.93050) Full Text: DOI arXiv
Peherstorfer, Benjamin; Willcox, Karen Online adaptive model reduction for nonlinear systems via low-rank updates. (English) Zbl 1323.65102 SIAM J. Sci. Comput. 37, No. 4, A2123-A2150 (2015). MSC: 65M22 35F50 35G50 65N22 PDFBibTeX XMLCite \textit{B. Peherstorfer} and \textit{K. Willcox}, SIAM J. Sci. Comput. 37, No. 4, A2123--A2150 (2015; Zbl 1323.65102) Full Text: DOI Link
Zhang, Lei-Hong; Yang, Wei Hong; Shen, Chungen; Li, Ren-Cang A Krylov subspace method for large-scale second-order cone linear complementarity problem. (English) Zbl 1326.90090 SIAM J. Sci. Comput. 37, No. 4, A2046-A2075 (2015). MSC: 90C33 65K05 65F99 65F15 65F30 65P99 PDFBibTeX XMLCite \textit{L.-H. Zhang} et al., SIAM J. Sci. Comput. 37, No. 4, A2046--A2075 (2015; Zbl 1326.90090) Full Text: DOI Link
Einkemmer, Lukas; Ostermann, Alexander Overcoming order reduction in diffusion-reaction splitting. I: Dirichlet boundary conditions. (English) Zbl 1433.65189 SIAM J. Sci. Comput. 37, No. 3, A1577-A1592 (2015). MSC: 65M20 65M12 65L04 PDFBibTeX XMLCite \textit{L. Einkemmer} and \textit{A. Ostermann}, SIAM J. Sci. Comput. 37, No. 3, A1577--A1592 (2015; Zbl 1433.65189) Full Text: DOI arXiv
Benner, Peter; Breiten, Tobias Two-sided projection methods for nonlinear model order reduction. (English) Zbl 1312.93016 SIAM J. Sci. Comput. 37, No. 2, B239-B260 (2015). MSC: 93A15 93C10 93C15 15A69 PDFBibTeX XMLCite \textit{P. Benner} and \textit{T. Breiten}, SIAM J. Sci. Comput. 37, No. 2, B239--B260 (2015; Zbl 1312.93016) Full Text: DOI
Lin, Binghuai; McLaughlin, Dennis Real-time ensemble control with reduced-order modeling. (English) Zbl 1301.93161 SIAM J. Sci. Comput. 36, No. 4, B749-B775 (2014). MSC: 93E11 93E20 93B11 PDFBibTeX XMLCite \textit{B. Lin} and \textit{D. McLaughlin}, SIAM J. Sci. Comput. 36, No. 4, B749--B775 (2014; Zbl 1301.93161) Full Text: DOI Link
Gillman, A.; Martinsson, P. G. A direct solver with \(O(N)\) complexity for variable coefficient elliptic PDEs discretized via a high-order composite spectral collocation method. (English) Zbl 1303.65099 SIAM J. Sci. Comput. 36, No. 4, A2023-A2046 (2014). MSC: 65N35 35J25 PDFBibTeX XMLCite \textit{A. Gillman} and \textit{P. G. Martinsson}, SIAM J. Sci. Comput. 36, No. 4, A2023--A2046 (2014; Zbl 1303.65099) Full Text: DOI arXiv
Lin, Binghuai; McLaughlin, Dennis Efficient characterization of uncertain model parameters with a reduced-order ensemble Kalman filter. (English) Zbl 1292.93130 SIAM J. Sci. Comput. 36, No. 2, 198-224 (2014). MSC: 93E11 65C60 93B11 PDFBibTeX XMLCite \textit{B. Lin} and \textit{D. McLaughlin}, SIAM J. Sci. Comput. 36, No. 2, 198--224 (2014; Zbl 1292.93130) Full Text: DOI Link
Ohlberger, Mario; Smetana, Kathrin A dimensional reduction approach based on the application of reduced basis methods in the framework of hierarchical model reduction. (English) Zbl 1296.65163 SIAM J. Sci. Comput. 36, No. 2, 714-736 (2014). MSC: 65N30 35J25 65N15 65Y20 65N50 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{K. Smetana}, SIAM J. Sci. Comput. 36, No. 2, 714--736 (2014; Zbl 1296.65163) Full Text: DOI arXiv Link
Narayan, Akil; Gittelson, Claude; Xiu, Dongbin A stochastic collocation algorithm with multifidelity models. (English) Zbl 1296.65013 SIAM J. Sci. Comput. 36, No. 2, 495-521 (2014). MSC: 65C30 60H15 60H35 65M70 35R60 65M12 65N75 PDFBibTeX XMLCite \textit{A. Narayan} et al., SIAM J. Sci. Comput. 36, No. 2, 495--521 (2014; Zbl 1296.65013) Full Text: DOI
Negri, Federico; Rozza, Gianluigi; Manzoni, Andrea; Quarteroni, Alfio Reduced basis method for parametrized elliptic optimal control problems. (English) Zbl 1280.49046 SIAM J. Sci. Comput. 35, No. 5, A2316-A2340 (2013). MSC: 49M30 49M25 35Q93 65K10 65M15 65M60 65N12 49J20 93C20 PDFBibTeX XMLCite \textit{F. Negri} et al., SIAM J. Sci. Comput. 35, No. 5, A2316--A2340 (2013; Zbl 1280.49046) Full Text: DOI Link
Alì, G.; Banagaaya, N.; Schilders, W. H. A.; Tischendorf, C. Index-aware model order reduction for linear index-2 DAEs with constant coefficients. (English) Zbl 1272.78022 SIAM J. Sci. Comput. 35, No. 3, A1487-A1510 (2013). MSC: 78M34 65L80 PDFBibTeX XMLCite \textit{G. Alì} et al., SIAM J. Sci. Comput. 35, No. 3, A1487--A1510 (2013; Zbl 1272.78022) Full Text: DOI Link
Druskin, Vladimir; Remis, Rob A Krylov stability-corrected coordinate-stretching method to simulate wave propagation in unbounded domains. (English) Zbl 1266.65073 SIAM J. Sci. Comput. 35, No. 2, B376-B400 (2013). MSC: 65F60 35L05 35B34 PDFBibTeX XMLCite \textit{V. Druskin} and \textit{R. Remis}, SIAM J. Sci. Comput. 35, No. 2, B376--B400 (2013; Zbl 1266.65073) Full Text: DOI arXiv
Baur, Ulrike; Benner, Peter Gramian-based model reduction for data-sparse systems. (English) Zbl 1183.93045 SIAM J. Sci. Comput. 31, No. 1, 776-798 (2008). MSC: 93B11 93B40 93C20 37M05 93A15 35K20 PDFBibTeX XMLCite \textit{U. Baur} and \textit{P. Benner}, SIAM J. Sci. Comput. 31, No. 1, 776--798 (2008; Zbl 1183.93045) Full Text: DOI
Rommes, Joost; Martins, Nelson Computing transfer function dominant poles of large-scale second-order dynamical systems. (English) Zbl 1168.65338 SIAM J. Sci. Comput. 30, No. 4, 2137-2157 (2008). MSC: 65F15 PDFBibTeX XMLCite \textit{J. Rommes} and \textit{N. Martins}, SIAM J. Sci. Comput. 30, No. 4, 2137--2157 (2008; Zbl 1168.65338) Full Text: DOI
Simoncini, V. A new iterative method for solving large-scale Lyapunov matrix equations. (English) Zbl 1146.65038 SIAM J. Sci. Comput. 29, No. 3, 1268-1288 (2007). Reviewer: Petko Hr. Petkov (Sofia) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{V. Simoncini}, SIAM J. Sci. Comput. 29, No. 3, 1268--1288 (2007; Zbl 1146.65038) Full Text: DOI
Bai, Zhaojun; Su, Yangfeng Dimension reduction of large-scale second-order dynamical systems via a second-order Arnoldi method. (English) Zbl 1078.65058 SIAM J. Sci. Comput. 26, No. 5, 1692-1709 (2005). Reviewer: Michael I. Krastanov (Sofia) MSC: 65K10 93B11 93C15 93B40 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{Y. Su}, SIAM J. Sci. Comput. 26, No. 5, 1692--1709 (2005; Zbl 1078.65058) Full Text: DOI HAL
Simoens, Jo; Vandewalle, Stefan Waveform relaxation with fast direct methods as preconditioner. (English) Zbl 0969.65085 SIAM J. Sci. Comput. 21, No. 5, 1755-1773 (2000). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M20 65T50 65F10 65F35 65L06 35K15 65Y05 65Y20 65M12 PDFBibTeX XMLCite \textit{J. Simoens} and \textit{S. Vandewalle}, SIAM J. Sci. Comput. 21, No. 5, 1755--1773 (2000; Zbl 0969.65085) Full Text: DOI
Rossi, Tuomo; Toivanen, Jari A parallel fast direct solver for block tridiagonal systems with separable matrices of arbitrary dimension. (English) Zbl 0931.65020 SIAM J. Sci. Comput. 20, No. 5, 1778-1793 (1999). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F05 65Y05 65N06 35J25 65F50 PDFBibTeX XMLCite \textit{T. Rossi} and \textit{J. Toivanen}, SIAM J. Sci. Comput. 20, No. 5, 1778--1793 (1999; Zbl 0931.65020) Full Text: DOI
Hadjinicolaou, M.; Goussis, D. A. Asymptotic solution of stiff PDEs with the CSP method: The reaction diffusion equation. (English) Zbl 0960.65094 SIAM J. Sci. Comput. 20, No. 3, 781-810 (1999). MSC: 65M12 35K57 65M70 PDFBibTeX XMLCite \textit{M. Hadjinicolaou} and \textit{D. A. Goussis}, SIAM J. Sci. Comput. 20, No. 3, 781--810 (1999; Zbl 0960.65094) Full Text: DOI
Greif, Chen; Varah, James Iterative solution of cyclically reduced systems arising from discretisation of the three-dimensional convection-diffusion equation. (English) Zbl 0916.65028 SIAM J. Sci. Comput. 19, No. 6, 1918-1940 (1998). Reviewer: Juan Pedro Milaszewicz (Ioannina) MSC: 65F10 35J25 65N06 PDFBibTeX XMLCite \textit{C. Greif} and \textit{J. Varah}, SIAM J. Sci. Comput. 19, No. 6, 1918--1940 (1998; Zbl 0916.65028) Full Text: DOI
Berggren, Martin Numerical solution of a flow-control problem: Vorticity reduction by dynamic boundary action. (English) Zbl 0946.76016 SIAM J. Sci. Comput. 19, No. 3, 829-860 (1998). Reviewer: P.K.Mahanti (Ranchi) MSC: 76D55 76D05 65K10 76M10 76M20 49K20 PDFBibTeX XMLCite \textit{M. Berggren}, SIAM J. Sci. Comput. 19, No. 3, 829--860 (1998; Zbl 0946.76016) Full Text: DOI