Zappon, Elena; Manzoni, Andrea; Gervasio, Paola; Quarteroni, Alfio A reduced order model for domain decompositions with non-conforming interfaces. (English) Zbl 07818687 J. Sci. Comput. 99, No. 1, Paper No. 22, 41 p. (2024). MSC: 65N55 65N30 65D05 65N12 35J15 35K57 35K05 65M06 PDFBibTeX XMLCite \textit{E. Zappon} et al., J. Sci. Comput. 99, No. 1, Paper No. 22, 41 p. (2024; Zbl 07818687) Full Text: DOI arXiv
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
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò Adaptive symplectic model order reduction of parametric particle-based Vlasov-Poisson equation. (English) Zbl 07810329 Math. Comput. 93, No. 347, 1153-1202 (2024). MSC: 65M60 65M06 65N30 65M75 65D05 65F55 65P10 82C40 78A35 78A25 78M34 76X05 82D10 35Q83 35Q60 PDFBibTeX XMLCite \textit{J. S. Hesthaven} et al., Math. Comput. 93, No. 347, 1153--1202 (2024; Zbl 07810329) Full Text: DOI arXiv
Keil, Tim; Ohlberger, Mario A relaxed localized trust-region reduced basis approach for optimization of multiscale problems. (English) Zbl 07799052 ESAIM, Math. Model. Numer. Anal. 58, No. 1, 79-105 (2024). MSC: 90Cxx 35J20 65N15 65N30 90C06 PDFBibTeX XMLCite \textit{T. Keil} and \textit{M. Ohlberger}, ESAIM, Math. Model. Numer. Anal. 58, No. 1, 79--105 (2024; Zbl 07799052) Full Text: DOI arXiv
Wu, Zhizhang; Zhang, Cheng; Zhang, Zhiwen Reduced-order model-based variational inference with normalizing flows for Bayesian elliptic inverse problems. (English) Zbl 07797178 J. Comput. Appl. Math. 441, Article ID 115659, 17 p. (2024). MSC: 35R30 35J25 35R60 62F15 68T07 78M34 PDFBibTeX XMLCite \textit{Z. Wu} et al., J. Comput. Appl. Math. 441, Article ID 115659, 17 p. (2024; Zbl 07797178) Full Text: DOI
Baeyens, Toon; Van Daele, Marnix Strands: new efficient technique for solving time-independent two-dimensional Schrödinger equations accurately. (English) Zbl 07801646 Comput. Math. Appl. 152, 334-340 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{T. Baeyens} and \textit{M. Van Daele}, Comput. Math. Appl. 152, 334--340 (2023; Zbl 07801646) Full Text: DOI
Dyachenko, S. A.; Semenova, A. Canonical conformal variables based method for stability of Stokes waves. (English) Zbl 07778772 Stud. Appl. Math. 150, No. 3, 705-715 (2023). MSC: 76-XX 35-XX PDFBibTeX XMLCite \textit{S. A. Dyachenko} and \textit{A. Semenova}, Stud. Appl. Math. 150, No. 3, 705--715 (2023; Zbl 07778772) Full Text: DOI
Gao, Yijin; Mayfield, Jay; Luo, Songting Numerical solutions of the time-dependent Schrödinger equation with position-dependent effective mass. (English) Zbl 07777353 Numer. Methods Partial Differ. Equations 39, No. 4, 3222-3245 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Gao} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3222--3245 (2023; Zbl 07777353) Full Text: DOI
Grundel, Sara; Herty, Michael Model-order reduction for hyperbolic relaxation systems. (English) Zbl 07773929 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2763-2780 (2023). MSC: 35-XX 34-XX PDFBibTeX XMLCite \textit{S. Grundel} and \textit{M. Herty}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2763--2780 (2023; Zbl 07773929) Full Text: DOI arXiv
Discacciati, Niccolò; Hesthaven, Jan S. Localized model order reduction and domain decomposition methods for coupled heterogeneous systems. (English) Zbl 07772297 Int. J. Numer. Methods Eng. 124, No. 18, 3964-3996 (2023). MSC: 65Mxx 65Nxx 35Kxx PDFBibTeX XMLCite \textit{N. Discacciati} and \textit{J. S. Hesthaven}, Int. J. Numer. Methods Eng. 124, No. 18, 3964--3996 (2023; Zbl 07772297) Full Text: DOI OA License
Bertrand, Fleurianne; Boffi, Daniele; Halim, Abdul Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression. (English) Zbl 07766241 J. Comput. Phys. 495, Article ID 112503, 28 p. (2023). MSC: 65Nxx 65Mxx 35Pxx PDFBibTeX XMLCite \textit{F. Bertrand} et al., J. Comput. Phys. 495, Article ID 112503, 28 p. (2023; Zbl 07766241) Full Text: DOI arXiv
Alla, Alessandro; Monti, Angela; Sgura, Ivonne Adaptive POD-DEIM correction for Turing pattern approximation in reaction-diffusion PDE systems. (English) Zbl 07745017 J. Numer. Math. 31, No. 3, 205-229 (2023). MSC: 65-XX 65M06 35K57 65F99 65M22 PDFBibTeX XMLCite \textit{A. Alla} et al., J. Numer. Math. 31, No. 3, 205--229 (2023; Zbl 07745017) Full Text: DOI arXiv
Dyachenko, Sergey A.; Semenova, Anastassiya Quasiperiodic perturbations of Stokes waves: secondary bifurcations and stability. (English) Zbl 07742897 J. Comput. Phys. 492, Article ID 112411, 13 p. (2023). MSC: 76Bxx 35Qxx 76Exx PDFBibTeX XMLCite \textit{S. A. Dyachenko} and \textit{A. Semenova}, J. Comput. Phys. 492, Article ID 112411, 13 p. (2023; Zbl 07742897) Full Text: DOI arXiv
McQuarrie, Shane A.; Khodabakhshi, Parisa; Willcox, Karen E. Nonintrusive reduced-order models for parametric partial differential equations via data-driven operator inference. (English) Zbl 1521.35022 SIAM J. Sci. Comput. 45, No. 4, A1917-A1946 (2023). MSC: 35B30 35R30 65F22 PDFBibTeX XMLCite \textit{S. A. McQuarrie} et al., SIAM J. Sci. Comput. 45, No. 4, A1917--A1946 (2023; Zbl 1521.35022) Full Text: DOI arXiv
Forembski, Andrew; Nikolopoulos, Lampros A. A. MP-CITDSE: a set of ab-initio programs for the simulation of hydrogenic and helium-like atom-laser interactions. (English) Zbl 07723491 Comput. Phys. Commun. 291, Article ID 108820, 21 p. (2023). MSC: 81V45 78A60 81V10 46F05 35P10 62H20 70H05 41A58 PDFBibTeX XMLCite \textit{A. Forembski} and \textit{L. A. A. Nikolopoulos}, Comput. Phys. Commun. 291, Article ID 108820, 21 p. (2023; Zbl 07723491) Full Text: DOI
Schneider, Ryan; Gharibnejad, Heman; Schneider, Barry I. ITVOLT: an iterative solver for the time-dependent Schrödinger equation. (English) Zbl 1522.65007 Comput. Phys. Commun. 291, Article ID 108780, 13 p. (2023). MSC: 65-04 35Q41 35J10 65R20 45D05 65M99 PDFBibTeX XMLCite \textit{R. Schneider} et al., Comput. Phys. Commun. 291, Article ID 108780, 13 p. (2023; Zbl 1522.65007) Full Text: DOI arXiv
Li, Ruo; Yang, Fanyi A reconstructed discontinuous approximation to Monge-Ampère equation in least square formulation. (English) Zbl 1524.65834 Adv. Appl. Math. Mech. 15, No. 5, 1109-1141 (2023). MSC: 65N30 65K10 35J96 65N12 65H10 35J15 PDFBibTeX XMLCite \textit{R. Li} and \textit{F. Yang}, Adv. Appl. Math. Mech. 15, No. 5, 1109--1141 (2023; Zbl 1524.65834) 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
Ammosov, D. A.; Stepanov, S. P.; Tyrylgin, A. A.; Malysheva, N. V.; Zamorshchikova, L. S. Partial learning using partially explicit discretization for multicontinuum/multiscale problems with limited observation: language interactions simulation. (English) Zbl 07700236 J. Comput. Appl. Math. 425, Article ID 115034, 16 p. (2023). MSC: 65M60 65M06 65N30 65D05 65M99 65M15 65F15 68T07 68Q32 91F20 35Q91 PDFBibTeX XMLCite \textit{D. A. Ammosov} et al., J. Comput. Appl. Math. 425, Article ID 115034, 16 p. (2023; Zbl 07700236) Full Text: DOI
Tran, Quyen; Antil, Harbir; Díaz, Hugo Optimal control of parameterized stationary Maxwell’s system: reduced basis, convergence analysis, and a posteriori error estimates. (English) Zbl 1512.35570 Math. Control Relat. Fields 13, No. 1, 431-449 (2023). MSC: 35Q61 35Q93 65M60 65M12 65K10 49M25 PDFBibTeX XMLCite \textit{Q. Tran} et al., Math. Control Relat. Fields 13, No. 1, 431--449 (2023; Zbl 1512.35570) Full Text: DOI
Landstorfer, M.; Ohlberger, M.; Rave, S.; Tacke, M. A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells. (English) Zbl 1515.78032 Eur. J. Appl. Math. 34, No. 3, 554-591 (2023). MSC: 78A57 49M37 35Q92 34B15 65K05 PDFBibTeX XMLCite \textit{M. Landstorfer} et al., Eur. J. Appl. Math. 34, No. 3, 554--591 (2023; Zbl 1515.78032) Full Text: DOI arXiv
Zappon, Elena; Manzoni, Andrea; Quarteroni, Alfio Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces. (English) Zbl 1512.65221 Adv. Comput. Math. 49, No. 2, Paper No. 21, 42 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65N99 65D05 65M12 76Z05 76W05 92C30 92C10 92C50 92-08 35Q92 PDFBibTeX XMLCite \textit{E. Zappon} et al., Adv. Comput. Math. 49, No. 2, Paper No. 21, 42 p. (2023; Zbl 1512.65221) Full Text: DOI arXiv
Agosti, A.; Giotta Lucifero, A.; Luzzi, S. An image-informed Cahn-Hilliard Keller-Segel multiphase field model for tumor growth with angiogenesis. (English) Zbl 1511.35351 Appl. Math. Comput. 445, Article ID 127834, 33 p. (2023). MSC: 35Q92 65M60 76T30 92C50 92C55 PDFBibTeX XMLCite \textit{A. Agosti} et al., Appl. Math. Comput. 445, Article ID 127834, 33 p. (2023; Zbl 1511.35351) Full Text: DOI arXiv
Falcone, Maurizio; Kirsten, Gerhard; Saluzzi, Luca Approximation of optimal control problems for the Navier-Stokes equation via multilinear HJB-POD. (English) Zbl 1511.49017 Appl. Math. Comput. 442, Article ID 127722, 17 p. (2023). MSC: 49L20 35Q30 49M41 65K05 76D05 PDFBibTeX XMLCite \textit{M. Falcone} et al., Appl. Math. Comput. 442, Article ID 127722, 17 p. (2023; Zbl 1511.49017) Full Text: DOI arXiv
Botchev, Mikhail A.; Kabanikhin, Sergey I.; Shishlenin, Maxim A.; Tyrtyshnikov, Eugene E. The Cauchy problem for the 3D Poisson equation: Landweber iteration vs. horizontally diagonalize and fit method. (English) Zbl 1514.65157 J. Inverse Ill-Posed Probl. 31, No. 2, 203-221 (2023). MSC: 65N21 65N20 65K10 65F22 65F15 65N15 35J05 35B65 35R30 PDFBibTeX XMLCite \textit{M. A. Botchev} et al., J. Inverse Ill-Posed Probl. 31, No. 2, 203--221 (2023; Zbl 1514.65157) Full Text: DOI
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
Li, Jie; Wang, Yuepeng; Ren, Zhigang Retrieval of initial condition for Burgers’ equation using reduced-order EnKF via POD-based sparse observations. (English) Zbl 1524.65178 J. Ind. Manag. Optim. 19, No. 6, 4222-4232 (2023). MSC: 65F22 62M20 35Q53 PDFBibTeX XMLCite \textit{J. Li} et al., J. Ind. Manag. Optim. 19, No. 6, 4222--4232 (2023; Zbl 1524.65178) Full Text: DOI
Wilkening, Jon; Zhao, Xinyu Spatially quasi-periodic bifurcations from periodic traveling water waves and a method for detecting bifurcations using signed singular values. (English) Zbl 07660327 J. Comput. Phys. 478, Article ID 111954, 34 p. (2023). MSC: 76Bxx 65Fxx 35Qxx PDFBibTeX XMLCite \textit{J. Wilkening} and \textit{X. Zhao}, J. Comput. Phys. 478, Article ID 111954, 34 p. (2023; Zbl 07660327) Full Text: DOI arXiv
Bertrand, Fleurianne; Boffi, Daniele; Halim, Abdul A reduced order model for the finite element approximation of eigenvalue problems. (English) Zbl 07644830 Comput. Methods Appl. Mech. Eng. 404, Article ID 115696, 26 p. (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{F. Bertrand} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115696, 26 p. (2023; Zbl 07644830) Full Text: DOI arXiv
Hu, Guanghui; Xie, Hehu; Xu, Fei On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation. (English) Zbl 07620359 J. Comput. Phys. 472, Article ID 111674, 22 p. (2023). MSC: 65Nxx 35Qxx 81-XX PDFBibTeX XMLCite \textit{G. Hu} et al., J. Comput. Phys. 472, Article ID 111674, 22 p. (2023; Zbl 07620359) Full Text: DOI arXiv
Li, Kun; Huang, Ting-Zhu; Li, Liang; Zhao, Ying; Lanteri, Stéphane A non-intrusive model order reduction approach for parameterized time-domain Maxwell’s equations. (English) Zbl 1498.78046 Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449-473 (2023). MSC: 78M34 78M10 65M60 65M99 65F20 78A25 60G15 62F15 35Q60 PDFBibTeX XMLCite \textit{K. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 1, 449--473 (2023; Zbl 1498.78046) Full Text: DOI
Uzunca, Murat; Karasözen, Bülent; Aydın, Ayhan Global energy preserving model reduction for multi-symplectic PDEs. (English) Zbl 1510.35279 Appl. Math. Comput. 436, Article ID 127483, 21 p. (2023). MSC: 35Q53 35Q55 65M06 65P10 PDFBibTeX XMLCite \textit{M. Uzunca} et al., Appl. Math. Comput. 436, Article ID 127483, 21 p. (2023; Zbl 1510.35279) Full Text: DOI arXiv
Dehghan, Mehdi; Hooshyarfarzin, Baharak; Abbaszadeh, Mostafa Radial basis function partition of unity procedure combined with the reduced-order method for solving Zakharov-Rubenchik equations. (English) Zbl 07789075 Eng. Anal. Bound. Elem. 145, 93-116 (2022). MSC: 35C08 35L05 35G20 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Eng. Anal. Bound. Elem. 145, 93--116 (2022; Zbl 07789075) Full Text: DOI
Li, Xi; Luo, Yan; Feng, Minfu An efficient Chorin-Temam projection proper orthogonal decomposition based reduced-order model for nonstationary Stokes equations. (English) Zbl 1503.65239 J. Sci. Comput. 93, No. 3, Paper No. 64, 26 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D07 76M10 35Q30 PDFBibTeX XMLCite \textit{X. Li} et al., J. Sci. Comput. 93, No. 3, Paper No. 64, 26 p. (2022; Zbl 1503.65239) Full Text: DOI arXiv
Liu, Jun; Fu, Hongfei An efficient QSC approximation of variable-order time-fractional mobile-immobile diffusion equations with variably diffusive coefficients. (English) Zbl 1503.65265 J. Sci. Comput. 93, No. 2, Paper No. 44, 38 p. (2022). MSC: 65M70 65M06 65N35 65D07 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{J. Liu} and \textit{H. Fu}, J. Sci. Comput. 93, No. 2, Paper No. 44, 38 p. (2022; Zbl 1503.65265) Full Text: DOI
Grubišić, Luka; Hakula, Harri High order approximations of the operator Lyapunov equation have low rank. (English) Zbl 1503.65296 BIT 62, No. 4, 1433-1459 (2022). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N50 65N25 93C05 35B09 PDFBibTeX XMLCite \textit{L. Grubišić} and \textit{H. Hakula}, BIT 62, No. 4, 1433--1459 (2022; Zbl 1503.65296) Full Text: DOI
Gräßle, Carmen; Hintermüller, Michael; Hinze, Michael; Keil, Tobias Simulation and control of a nonsmooth Cahn-Hilliard Navier-Stokes system with variable fluid densities. (English) Zbl 1502.49015 Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 211-240 (2022). MSC: 49J52 35B65 35J87 35K55 65K15 49K20 PDFBibTeX XMLCite \textit{C. Gräßle} et al., ISNM, Int. Ser. Numer. Math. 172, 211--240 (2022; Zbl 1502.49015) Full Text: DOI arXiv
Jiang, Lijian; Li, Mengnan; Zhao, Meng Online multiscale model reduction for nonlinear stochastic PDEs with multiplicative noise. (English) Zbl 1498.65219 Multiscale Model. Simul. 20, No. 3, 1063-1092 (2022). MSC: 65N99 65N30 35R60 PDFBibTeX XMLCite \textit{L. Jiang} et al., Multiscale Model. Simul. 20, No. 3, 1063--1092 (2022; Zbl 1498.65219) Full Text: DOI arXiv
Hou, Shijin; Chen, Yanlai; Xia, Yinhua Fast \(L^2\) optimal mass transport via reduced basis methods for the Monge-Ampère equation. (English) Zbl 1509.65109 SIAM J. Sci. Comput. 44, No. 6, A3536-A3559 (2022). Reviewer: Muhammad Hassan (Aachen) MSC: 65N06 65N35 65N50 35J60 35J96 68Q32 35Q49 PDFBibTeX XMLCite \textit{S. Hou} et al., SIAM J. Sci. Comput. 44, No. 6, A3536--A3559 (2022; Zbl 1509.65109) Full Text: DOI arXiv
Chen, Dongqin; Li, Qiuqi; Song, Huailing Error analysis of a stable reduced order model based on the proper orthogonal decomposition method for the Allen-Cahn-Navier-Stokes system. (English) Zbl 1507.74458 Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115661, 30 p. (2022). MSC: 74S05 65M15 35M30 65M60 PDFBibTeX XMLCite \textit{D. Chen} et al., Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115661, 30 p. (2022; Zbl 1507.74458) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi A POD-RBF-FD scheme for simulating chemotaxis models on surfaces. (English) Zbl 1521.92008 Eng. Anal. Bound. Elem. 143, 316-330 (2022). MSC: 92-08 65M06 35Q35 35Q92 65D12 92C17 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 143, 316--330 (2022; Zbl 1521.92008) Full Text: DOI
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
Caboussat, Alexandre; Glowinski, Roland; Gourzoulidis, Dimitrios A least-squares method for the solution of the non-smooth prescribed Jacobian equation. (English) Zbl 1497.65222 J. Sci. Comput. 93, No. 1, Paper No. 15, 32 p. (2022). MSC: 65N30 65K10 49M20 49M41 35F30 31A30 35B65 PDFBibTeX XMLCite \textit{A. Caboussat} et al., J. Sci. Comput. 93, No. 1, Paper No. 15, 32 p. (2022; Zbl 1497.65222) Full Text: DOI
Cho, Manki; Rivas, Mauricio A. On the \(L^2\)-orthogonality of Steklov eigenfunctions. (English) Zbl 1505.35278 Electron. J. Differ. Equ. 2022, Conf. 26, 45-58 (2022). Reviewer: Gianpaolo Piscitelli (Cassino) MSC: 35P05 31A20 35J05 35J25 PDFBibTeX XMLCite \textit{M. Cho} and \textit{M. A. Rivas}, Electron. J. Differ. Equ. 2022, 45--58 (2022; Zbl 1505.35278) Full Text: Link
Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat Nonintrusive model order reduction for cross-diffusion systems. (English) Zbl 1501.65089 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 65N06 65D12 65F20 15A69 35A01 35K51 35K58 65L10 65L12 65L20 65L70 92D25 92C40 35Q92 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022; Zbl 1501.65089) Full Text: DOI arXiv
Liljegren-Sailer, Björn; Marheineke, Nicole On snapshot-based model reduction under compatibility conditions for a nonlinear flow problem on networks. (English) Zbl 07568382 J. Sci. Comput. 92, No. 2, Paper No. 62, 30 p. (2022). MSC: 65-XX 35L60 35R02 65N12 PDFBibTeX XMLCite \textit{B. Liljegren-Sailer} and \textit{N. Marheineke}, J. Sci. Comput. 92, No. 2, Paper No. 62, 30 p. (2022; Zbl 07568382) Full Text: DOI arXiv
Kolbe, Niklas; Sfakianakis, Nikolaos An adaptive rectangular mesh administration and refinement technique with application in cancer invasion models. (English) Zbl 1503.65212 J. Comput. Appl. Math. 416, Article ID 114442, 18 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M50 65N50 65M08 65Y05 92C50 92C17 35Q31 35Q92 PDFBibTeX XMLCite \textit{N. Kolbe} and \textit{N. Sfakianakis}, J. Comput. Appl. Math. 416, Article ID 114442, 18 p. (2022; Zbl 1503.65212) Full Text: DOI arXiv
Ripley, Justin L. Computing the quasinormal modes and eigenfunctions for the Teukolsky equation using horizon penetrating, hyperboloidally compactified coordinates. (English) Zbl 1498.83033 Classical Quantum Gravity 39, No. 14, Article ID 145009, 22 p. (2022). MSC: 83C57 14M27 35P10 81P55 PDFBibTeX XMLCite \textit{J. L. Ripley}, Classical Quantum Gravity 39, No. 14, Article ID 145009, 22 p. (2022; Zbl 1498.83033) Full Text: DOI arXiv
Qian, Elizabeth; Farcaş, Ionuţ-Gabriel; Willcox, Karen Reduced operator inference for nonlinear partial differential equations. (English) Zbl 1509.65101 SIAM J. Sci. Comput. 44, No. 4, A1934-A1959 (2022). Reviewer: Hussein Fakih (Nabatieh) MSC: 65M60 68T05 65Z05 62J15 62J05 62J07 35Q30 PDFBibTeX XMLCite \textit{E. Qian} et al., SIAM J. Sci. Comput. 44, No. 4, A1934--A1959 (2022; Zbl 1509.65101) Full Text: DOI arXiv
Leung, Wing Tat; Wang, Yating Multirate partially explicit scheme for multiscale flow problems. (English) Zbl 1492.65268 SIAM J. Sci. Comput. 44, No. 3, A1775-A1806 (2022). MSC: 65M60 65M06 65N30 65M50 76S05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{W. T. Leung} and \textit{Y. Wang}, SIAM J. Sci. Comput. 44, No. 3, A1775--A1806 (2022; Zbl 1492.65268) Full Text: DOI arXiv
Liljegren-Sailer, Björn; Marheineke, Nicole On port-Hamiltonian approximation of a nonlinear flow problem on networks. (English) Zbl 07556264 SIAM J. Sci. Comput. 44, No. 3, B834-B859 (2022). MSC: 65-XX 35L60 37L65 35R02 76Nxx PDFBibTeX XMLCite \textit{B. Liljegren-Sailer} and \textit{N. Marheineke}, SIAM J. Sci. Comput. 44, No. 3, B834--B859 (2022; Zbl 07556264) Full Text: DOI arXiv
Assing da Silva, Ivan; Dalledone Machado, Roberto; Arndt, Marcos; de Oliveira Weinhardt, Paulo Assessment of the flat-top stable GFEM for free vibration analysis. (English) Zbl 1524.65510 Comput. Math. Appl. 117, 271-283 (2022). MSC: 65M60 65N30 74S05 35J25 65N12 65N15 74H45 PDFBibTeX XMLCite \textit{I. Assing da Silva} et al., Comput. Math. Appl. 117, 271--283 (2022; Zbl 1524.65510) Full Text: DOI
Saffarian, Marziyeh; Mohebbi, Akbar Reduced proper orthogonal decomposition spectral element method for the solution of 2D multi-term time fractional mixed diffusion and diffusion-wave equations in linear and nonlinear modes. (English) Zbl 1524.65681 Comput. Math. Appl. 117, 127-154 (2022). MSC: 65M70 65M06 35R11 65M12 65M60 26A33 65M99 65N35 PDFBibTeX XMLCite \textit{M. Saffarian} and \textit{A. Mohebbi}, Comput. Math. Appl. 117, 127--154 (2022; Zbl 1524.65681) Full Text: DOI
Marchand, P.; Galkowski, J.; Spence, E. A.; Spence, A. Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency? (English) Zbl 1492.65090 Adv. Comput. Math. 48, No. 4, Paper No. 37, 63 p. (2022). MSC: 65F10 65N22 35J05 65N38 PDFBibTeX XMLCite \textit{P. Marchand} et al., Adv. Comput. Math. 48, No. 4, Paper No. 37, 63 p. (2022; Zbl 1492.65090) Full Text: DOI arXiv
Cho, Manki A novel efficient numerical solution of Laplace equation with mixed boundary conditions. (English) Zbl 1499.65631 Int. J. Comput. Math. 99, No. 6, 1272-1280 (2022). MSC: 65N25 65N15 35J05 78A30 35Q60 PDFBibTeX XMLCite \textit{M. Cho}, Int. J. Comput. Math. 99, No. 6, 1272--1280 (2022; Zbl 1499.65631) Full Text: DOI
Yasugahira, Yusuke; Nagayama, Masaharu On a numerical bifurcation analysis of a particle reaction-diffusion model for a motion of two self-propelled disks. (English) Zbl 07523441 Japan J. Ind. Appl. Math. 39, No. 2, 631-652 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Yasugahira} and \textit{M. Nagayama}, Japan J. Ind. Appl. Math. 39, No. 2, 631--652 (2022; Zbl 07523441) Full Text: DOI
Dietrich, Felix; Yair, Or; Mulayoff, Rotem; Talmon, Ronen; Kevrekidis, Ioannis G. Spectral discovery of jointly smooth features for multimodal data. (English) Zbl 07507774 SIAM J. Math. Data Sci. 4, No. 1, 410-430 (2022). MSC: 68T05 94A12 46N40 47N40 35K08 58C05 PDFBibTeX XMLCite \textit{F. Dietrich} et al., SIAM J. Math. Data Sci. 4, No. 1, 410--430 (2022; Zbl 07507774) Full Text: DOI arXiv
Benner, Peter; Heiland, Jan; Werner, Steffen W. R. Robust output-feedback stabilization for incompressible flows using low-dimensional \(\mathcal{H}_{\infty}\)-controllers. (English) Zbl 1490.93102 Comput. Optim. Appl. 82, No. 1, 225-249 (2022). MSC: 93D15 93B36 93C20 35Q30 76D55 PDFBibTeX XMLCite \textit{P. Benner} et al., Comput. Optim. Appl. 82, No. 1, 225--249 (2022; Zbl 1490.93102) Full Text: DOI arXiv
Peralta, Gilbert; Kunisch, Karl Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation. (English) Zbl 1487.49007 Numer. Math. 150, No. 2, 591-627 (2022). Reviewer: Francesco Rossi (Padova) MSC: 49J20 35L05 65M60 PDFBibTeX XMLCite \textit{G. Peralta} and \textit{K. Kunisch}, Numer. Math. 150, No. 2, 591--627 (2022; Zbl 1487.49007) Full Text: DOI
Lin, Matthew M.; Chu, Moody T. Rank-1 approximation for entangled multipartite real systems. (English) Zbl 1486.81033 J. Sci. Comput. 91, No. 1, Paper No. 24, 20 p. (2022). MSC: 81P40 81P42 81Q15 35P30 81P45 81P68 81V70 46A32 81-10 PDFBibTeX XMLCite \textit{M. M. Lin} and \textit{M. T. Chu}, J. Sci. Comput. 91, No. 1, Paper No. 24, 20 p. (2022; Zbl 1486.81033) Full Text: DOI
Hamadi, M. A.; Jbilou, K.; Ratnani, A. An efficient extended block Arnoldi algorithm for feedback stabilization of incompressible Navier-Stokes flow problems. (English) Zbl 1484.65197 Appl. Numer. Math. 174, 142-162 (2022). MSC: 65M22 65F10 35Q30 76D05 76D55 93D15 PDFBibTeX XMLCite \textit{M. A. Hamadi} et al., Appl. Numer. Math. 174, 142--162 (2022; Zbl 1484.65197) Full Text: DOI arXiv
Borcea, Liliana; Garnier, Josselin; Mamonov, Alexander V.; Zimmerling, Jörn Reduced order model approach for imaging with waves. (English) Zbl 07455593 Inverse Probl. 38, No. 2, Article ID 025004, 40 p. (2022). MSC: 65Mxx 65Nxx 35Rxx PDFBibTeX XMLCite \textit{L. Borcea} et al., Inverse Probl. 38, No. 2, Article ID 025004, 40 p. (2022; Zbl 07455593) Full Text: DOI arXiv
Lampe, Jörg; Voss, Heinrich A survey on variational characterizations for nonlinear eigenvalue problems. (English) Zbl 07436835 ETNA, Electron. Trans. Numer. Anal. 55, 1-75 (2022). MSC: 65-XX 35P30 47A52 47A75 47J10 65F15 PDFBibTeX XMLCite \textit{J. Lampe} and \textit{H. Voss}, ETNA, Electron. Trans. Numer. Anal. 55, 1--75 (2022; Zbl 07436835) Full Text: DOI Link
Engström, C.; Giani, S.; Grubišić, L. Higher order composite DG approximations of Gross-Pitaevskii ground state: benchmark results and experiments. (English) Zbl 1482.65209 J. Comput. Appl. Math. 400, Article ID 113652, 15 p. (2022). Reviewer: Marius Ghergu (Dublin) MSC: 65N25 65N30 35P30 78M10 35Q55 81V80 PDFBibTeX XMLCite \textit{C. Engström} et al., J. Comput. Appl. Math. 400, Article ID 113652, 15 p. (2022; Zbl 1482.65209) Full Text: DOI
Rueda-Ramírez, Andrés M.; Hennemann, Sebastian; Hindenlang, Florian J.; Winters, Andrew R.; Gassner, Gregor J. An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. II: Subcell finite volume shock capturing. (English) Zbl 07515469 J. Comput. Phys. 444, Article ID 110580, 48 p. (2021). MSC: 65Mxx 76Mxx 35Lxx PDFBibTeX XMLCite \textit{A. M. Rueda-Ramírez} et al., J. Comput. Phys. 444, Article ID 110580, 48 p. (2021; Zbl 07515469) Full Text: DOI arXiv
Bonnet-Ben Dhia, Anne-Sophie; Hazard, Christophe; Monteghetti, Florian Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners. (English) Zbl 07512376 J. Comput. Phys. 440, Article ID 110433, 29 p. (2021). MSC: 35Jxx 78Axx 35Pxx PDFBibTeX XMLCite \textit{A.-S. Bonnet-Ben Dhia} et al., J. Comput. Phys. 440, Article ID 110433, 29 p. (2021; Zbl 07512376) Full Text: DOI HAL
Subaşı, Murat; Şendur, Faika Derya; Yaşar, Cavide An inverse source identification by nonlinear optimization in a two-dimensional hyperbolic problem. (English) Zbl 07480126 Inverse Probl. Sci. Eng. 29, No. 12, 2110-2130 (2021). MSC: 34M50 35L50 65M60 65K10 PDFBibTeX XMLCite \textit{M. Subaşı} et al., Inverse Probl. Sci. Eng. 29, No. 12, 2110--2130 (2021; Zbl 07480126) Full Text: DOI
Leibner, Tobias; Ohlberger, Mario A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations. (English) Zbl 07477255 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2567-2608 (2021). MSC: 65-XX 35L40 35F61 65M08 65M70 82C70 PDFBibTeX XMLCite \textit{T. Leibner} and \textit{M. Ohlberger}, ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2567--2608 (2021; Zbl 07477255) Full Text: DOI arXiv
Hao, Yue; Simoncini, Valeria Matrix equation solving of PDEs in polygonal domains using conformal mappings. (English) Zbl 1495.65199 J. Numer. Math. 29, No. 3, 221-244 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65N22 65E10 65F10 65F40 35J25 30C30 15A24 PDFBibTeX XMLCite \textit{Y. Hao} and \textit{V. Simoncini}, J. Numer. Math. 29, No. 3, 221--244 (2021; Zbl 1495.65199) Full Text: DOI
Uzunca, Murat; Karasözen, Bülent; Yıldız, Süleyman Structure-preserving reduced-order modeling of Korteweg-de Vries equation. (English) Zbl 07428995 Math. Comput. Simul. 188, 193-211 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Uzunca} et al., Math. Comput. Simul. 188, 193--211 (2021; Zbl 07428995) Full Text: DOI arXiv
León-Velasco, D. Assaely; Chacón-Acosta, Guillermo Full finite element scheme for reaction-diffusion systems on embedded curved surfaces in \(\mathbb{R}^3\). (English) Zbl 1481.65185 Adv. Math. Phys. 2021, Article ID 8898484, 16 p. (2021). MSC: 65M60 35K57 PDFBibTeX XMLCite \textit{D. A. León-Velasco} and \textit{G. Chacón-Acosta}, Adv. Math. Phys. 2021, Article ID 8898484, 16 p. (2021; Zbl 1481.65185) Full Text: DOI
Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat; Yıldız, Süleyman Reduced order modelling of nonlinear cross-diffusion systems. (English) Zbl 1508.37116 Appl. Math. Comput. 401, Article ID 126058, 16 p. (2021). MSC: 37N25 35K57 35K61 65L05 65M06 92D25 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Appl. Math. Comput. 401, Article ID 126058, 16 p. (2021; Zbl 1508.37116) Full Text: DOI arXiv
Taddei, Tommaso; Zhang, Lei A discretize-then-map approach for the treatment of parameterized geometries in model order reduction. (English) Zbl 1506.65227 Comput. Methods Appl. Mech. Eng. 384, Article ID 113956, 26 p. (2021). MSC: 65N30 35J57 41A45 PDFBibTeX XMLCite \textit{T. Taddei} and \textit{L. Zhang}, Comput. Methods Appl. Mech. Eng. 384, Article ID 113956, 26 p. (2021; Zbl 1506.65227) Full Text: DOI arXiv
Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. (English) Zbl 1527.90221 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1239-1269 (2021). MSC: 90C30 35J20 65N30 90C06 PDFBibTeX XMLCite \textit{T. Keil} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1239--1269 (2021; Zbl 1527.90221) Full Text: DOI arXiv
Caboussat, Alexandre; Gourzoulidis, Dimitrios A second order time integration method for the approximation of a parabolic 2D Monge-Ampère equation. (English) Zbl 1470.65163 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 225-234 (2021). MSC: 65M60 65M12 35J96 PDFBibTeX XMLCite \textit{A. Caboussat} and \textit{D. Gourzoulidis}, Lect. Notes Comput. Sci. Eng. 139, 225--234 (2021; Zbl 1470.65163) Full Text: DOI
Borcea, Liliana; Druskin, Vladimir; Zimmerling, Jörn A reduced order model approach to inverse scattering in lossy layered media. (English) Zbl 1481.78006 J. Sci. Comput. 89, No. 1, Paper No. 1, 36 p. (2021). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A46 65M32 65L09 78A40 78A48 78A50 78M34 78M50 78M20 60H40 35R30 35Q60 PDFBibTeX XMLCite \textit{L. Borcea} et al., J. Sci. Comput. 89, No. 1, Paper No. 1, 36 p. (2021; Zbl 1481.78006) Full Text: DOI arXiv
Brenner, Susanne C.; Sung, Li-yeng; Tan, Zhiyu; Zhang, Hongchao A convexity enforcing \(C^0\) interior penalty method for the Monge-Ampère equation on convex polygonal domains. (English) Zbl 1477.65194 Numer. Math. 148, No. 3, 497-524 (2021). MSC: 65N30 65K10 65N15 35G30 35J96 90C06 90C26 35D30 PDFBibTeX XMLCite \textit{S. C. Brenner} et al., Numer. Math. 148, No. 3, 497--524 (2021; Zbl 1477.65194) Full Text: DOI
Bootland, Niall; Dolean, Victorita; Jolivet, Pierre; Tournier, Pierre-Henri A comparison of coarse spaces for Helmholtz problems in the high frequency regime. (English) Zbl 1524.65918 Comput. Math. Appl. 98, 239-253 (2021). MSC: 65N55 65F10 65N30 35J05 65F08 78A40 78A45 65Y05 65N50 76Q05 PDFBibTeX XMLCite \textit{N. Bootland} et al., Comput. Math. Appl. 98, 239--253 (2021; Zbl 1524.65918) 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
Rapún, M.-L.; Terragni, F.; Vega, J. M. Adaptive sampling and modal expansions in pattern-forming systems. (English) Zbl 1487.65168 Adv. Comput. Math. 47, No. 4, Paper No. 48, 31 p. (2021). Reviewer: Philipp Öffner (Mainz) MSC: 65M70 65M60 65M06 65M99 65M50 65F05 35Q56 PDFBibTeX XMLCite \textit{M. L. Rapún} et al., Adv. Comput. Math. 47, No. 4, Paper No. 48, 31 p. (2021; Zbl 1487.65168) Full Text: DOI
Reiss, Julius Optimization-based modal decomposition for systems with multiple transports. (English) Zbl 07364388 SIAM J. Sci. Comput. 43, No. 3, A2079-A2101 (2021). MSC: 65Z05 35Q35 PDFBibTeX XMLCite \textit{J. Reiss}, SIAM J. Sci. Comput. 43, No. 3, A2079--A2101 (2021; Zbl 07364388) Full Text: DOI arXiv
Dal Santo, Niccolò; Manzoni, Andrea; Pagani, Stefano; Quarteroni, Alfio Reduced-order modeling for applications to the cardiovascular system. (English) Zbl 1477.65157 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 251-277 (2021). MSC: 65M60 65M99 65N12 76M10 76D05 76Z05 92C35 35Q35 35Q92 PDFBibTeX XMLCite \textit{N. Dal Santo} et al., in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 251--277 (2021; Zbl 1477.65157) Full Text: DOI
Yano, Masayuki Model reduction in computational aerodynamics. (English) Zbl 1477.65249 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 201-236 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N35 35Q30 35Q35 76G25 76N06 76N15 76M10 76M15 PDFBibTeX XMLCite \textit{M. Yano}, in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 201--236 (2021; Zbl 1477.65249) Full Text: DOI
Eason, John P.; Biegler, Lorenz T. Model reduction in chemical process optimization. (English) Zbl 1471.35281 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1-31 (2021). MSC: 35Q93 35-02 93A15 93C05 49M41 49M37 80A25 76V05 35B30 37M99 41A05 65K10 65M99 65F20 PDFBibTeX XMLCite \textit{J. P. Eason} and \textit{L. T. Biegler}, in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1--31 (2021; Zbl 1471.35281) Full Text: DOI
Roddick, Greg Computation of scattering matrices and their derivatives for waveguides. (English) Zbl 1465.35324 J. Comput. Appl. Math. 396, Article ID 113453, 24 p. (2021). MSC: 35P25 35J25 35B34 78A50 PDFBibTeX XMLCite \textit{G. Roddick}, J. Comput. Appl. Math. 396, Article ID 113453, 24 p. (2021; Zbl 1465.35324) Full Text: DOI arXiv
Giani, Stefano; Hakula, Harri On effects of perforated domains on parameter-dependent free vibration. (English) Zbl 1475.65180 J. Comput. Appl. Math. 394, Article ID 113526, 14 p. (2021). MSC: 65N25 65N30 65N12 65C20 74K25 74H45 35Q74 PDFBibTeX XMLCite \textit{S. Giani} and \textit{H. Hakula}, J. Comput. Appl. Math. 394, Article ID 113526, 14 p. (2021; Zbl 1475.65180) Full Text: DOI
Ando, Kazunori; Kang, Hyeonbae; Miyanishi, Yoshihisa; Nakazawa, Takashi Surface localization of plasmons in three dimensions and convexity. (English) Zbl 1466.45010 SIAM J. Appl. Math. 81, No. 3, 1020-1033 (2021). MSC: 45P05 35P05 PDFBibTeX XMLCite \textit{K. Ando} et al., SIAM J. Appl. Math. 81, No. 3, 1020--1033 (2021; Zbl 1466.45010) Full Text: DOI arXiv
Barnafi, Nicolás; Zunino, Paolo; Dedè, Luca; Quarteroni, Alfio Mathematical analysis and numerical approximation of a general linearized poro-hyperelastic model. (English) Zbl 1524.65512 Comput. Math. Appl. 91, 202-228 (2021). MSC: 65M60 65N30 76D07 76S05 76M10 65N12 65M06 76M20 74S05 74S20 65D05 74B10 35A01 35A02 65N15 92C10 74L15 35Q92 35Q74 35Q35 PDFBibTeX XMLCite \textit{N. Barnafi} et al., Comput. Math. Appl. 91, 202--228 (2021; Zbl 1524.65512) Full Text: DOI
Li, Kun; Huang, Ting-Zhu; Li, Liang; Lanteri, Stéphane Non-intrusive reduced-order modeling of parameterized electromagnetic scattering problems using cubic spline interpolation. (English) Zbl 1472.65122 J. Sci. Comput. 87, No. 2, Paper No. 52, 29 p. (2021). MSC: 65M60 65M06 65N30 65D07 65M99 65F20 78A45 78M34 78M10 78M20 35Q60 PDFBibTeX XMLCite \textit{K. Li} et al., J. Sci. Comput. 87, No. 2, Paper No. 52, 29 p. (2021; Zbl 1472.65122) Full Text: DOI Link
Gu, Haotian; Xin, Jack; Zhang, Zhiwen Error estimates for a POD method for solving viscous G-equations in incompressible cellular flows. (English) Zbl 1469.65156 SIAM J. Sci. Comput. 43, No. 1, A636-A662 (2021). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M99 65M12 65M15 70H20 76F25 76V05 80A25 35F21 PDFBibTeX XMLCite \textit{H. Gu} et al., SIAM J. Sci. Comput. 43, No. 1, A636--A662 (2021; Zbl 1469.65156) Full Text: DOI arXiv
Tolle, Kevin; Marheineke, Nicole Extended group finite element method. (English) Zbl 1461.65253 Appl. Numer. Math. 162, 1-19 (2021). MSC: 65N30 35J60 65D05 PDFBibTeX XMLCite \textit{K. Tolle} and \textit{N. Marheineke}, Appl. Numer. Math. 162, 1--19 (2021; Zbl 1461.65253) Full Text: DOI arXiv
D’Amore, Luisa; Cacciapuoti, R. Model reduction in space and time for ab initio decomposition of 4D variational data assimilation problems. (English) Zbl 1462.65136 Appl. Numer. Math. 160, 242-264 (2021). MSC: 65M55 65M12 65M15 76B15 65Y05 35B65 35Q35 PDFBibTeX XMLCite \textit{L. D'Amore} and \textit{R. Cacciapuoti}, Appl. Numer. Math. 160, 242--264 (2021; Zbl 1462.65136) Full Text: DOI
Pearson, John W.; Pestana, Jennifer Preconditioners for Krylov subspace methods: an overview. (English) Zbl 07784224 GAMM-Mitt. 43, No. 4, Article ID e202000015, 35 p. (2020). MSC: 65Fxx 65Nxx 35Jxx PDFBibTeX XMLCite \textit{J. W. Pearson} and \textit{J. Pestana}, GAMM-Mitt. 43, No. 4, Article ID e202000015, 35 p. (2020; Zbl 07784224) Full Text: DOI OA License
Chan, Jesse Entropy stable reduced order modeling of nonlinear conservation laws. (English) Zbl 07508408 J. Comput. Phys. 423, Article ID 109789, 27 p. (2020). MSC: 35-XX 76-XX PDFBibTeX XMLCite \textit{J. Chan}, J. Comput. Phys. 423, Article ID 109789, 27 p. (2020; Zbl 07508408) Full Text: DOI arXiv
Qian, Elizabeth; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen Lift & learn: physics-informed machine learning for large-scale nonlinear dynamical systems. (English) Zbl 1493.62512 Physica D 406, Article ID 132401, 10 p. (2020). MSC: 62M09 35K58 37C15 PDFBibTeX XMLCite \textit{E. Qian} et al., Physica D 406, Article ID 132401, 10 p. (2020; Zbl 1493.62512) Full Text: DOI arXiv
Black, Felix; Schulze, Philipp; Unger, Benjamin Projection-based model reduction with dynamically transformed modes. (English) Zbl 1470.35276 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2011-2043 (2020). MSC: 35Q35 37L65 65M60 65M99 65M06 65N06 65M15 65K10 PDFBibTeX XMLCite \textit{F. Black} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2011--2043 (2020; Zbl 1470.35276) Full Text: DOI arXiv
Benner, Peter; Goyal, Pawan; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. (English) Zbl 1506.93015 Comput. Methods Appl. Mech. Eng. 372, Article ID 113433, 17 p. (2020). MSC: 93B11 93C05 93C20 65M99 35K58 35K67 37M10 PDFBibTeX XMLCite \textit{P. Benner} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113433, 17 p. (2020; Zbl 1506.93015) Full Text: DOI arXiv
Cho, Manki Steklov expansion method for regularized harmonic boundary value problems. (English) Zbl 1465.35125 Numer. Funct. Anal. Optim. 41, No. 15, 1871-1886 (2020). MSC: 35J05 35P10 65N25 65M70 PDFBibTeX XMLCite \textit{M. Cho}, Numer. Funct. Anal. Optim. 41, No. 15, 1871--1886 (2020; Zbl 1465.35125) Full Text: DOI
Barnett, Alex; Greengard, Leslie; Hagstrom, Thomas High-order discretization of a stable time-domain integral equation for 3D acoustic scattering. (English) Zbl 1453.65447 J. Comput. Phys. 402, Article ID 109047, 19 p. (2020). MSC: 65R20 35P25 35L05 PDFBibTeX XMLCite \textit{A. Barnett} et al., J. Comput. Phys. 402, Article ID 109047, 19 p. (2020; Zbl 1453.65447) 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