Edel, P.; Simon, J. A locally adaptive non-intrusive block reduced basis method for scattering applications using the boundary element method. (English) Zbl 07824907 Comput. Methods Appl. Mech. Eng. 421, Article ID 116830, 17 p. (2024). MSC: 65R20 78M15 78M34 PDFBibTeX XMLCite \textit{P. Edel} and \textit{J. Simon}, Comput. Methods Appl. Mech. Eng. 421, Article ID 116830, 17 p. (2024; Zbl 07824907) Full Text: DOI
Zhang, Jia-Rui; Lu, Jun-Guo Robust \(\infty\) model reduction for the continuous fractional-order two-dimensional Roesser system: the \(0 < \varepsilon \leq 1\) case. (English) Zbl 07823720 Math. Methods Appl. Sci. 47, No. 2, 782-798 (2024). MSC: 26A33 65L20 93D09 34C20 93C35 PDFBibTeX XMLCite \textit{J.-R. Zhang} and \textit{J.-G. Lu}, Math. Methods Appl. Sci. 47, No. 2, 782--798 (2024; Zbl 07823720) Full Text: DOI
Lu, Ye; Mojumder, Satyajit; Guo, Jiachen; Li, Yangfan; Liu, Wing Kam Extended tensor decomposition model reduction methods: training, prediction, and design under uncertainty. (English) Zbl 07823435 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116550, 27 p. (2024). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{Y. Lu} et al., Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116550, 27 p. (2024; Zbl 07823435) Full Text: DOI arXiv
Discacciati, Niccolò; Hesthaven, Jan S. Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps. (English) Zbl 07820288 Comput. Methods Appl. Mech. Eng. 420, Article ID 116770, 31 p. (2024). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{N. Discacciati} and \textit{J. S. Hesthaven}, Comput. Methods Appl. Mech. Eng. 420, Article ID 116770, 31 p. (2024; Zbl 07820288) Full Text: DOI
Chellappa, Sridhar; Feng, Lihong; Benner, Peter Accurate error estimation for model reduction of nonlinear dynamical systems via data-enhanced error closure. (English) Zbl 07820256 Comput. Methods Appl. Mech. Eng. 420, Article ID 116712, 29 p. (2024). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{S. Chellappa} et al., Comput. Methods Appl. Mech. Eng. 420, Article ID 116712, 29 p. (2024; Zbl 07820256) Full Text: DOI arXiv
Barral, Nicolas; Taddei, Tommaso; Tifouti, Ishak Registration-based model reduction of parameterized PDEs with spatio-parameter adaptivity. (English) Zbl 07819073 J. Comput. Phys. 499, Article ID 112727, 28 p. (2024). MSC: 65Mxx 65Nxx 76Mxx PDFBibTeX XMLCite \textit{N. Barral} et al., J. Comput. Phys. 499, Article ID 112727, 28 p. (2024; Zbl 07819073) Full Text: DOI arXiv
Bonizzoni, Francesca; Hauck, Moritz; Peterseim, Daniel A reduced basis super-localized orthogonal decomposition for reaction-convection-diffusion problems. (English) Zbl 07819051 J. Comput. Phys. 499, Article ID 112698, 20 p. (2024). MSC: 65Nxx 35Jxx 41Axx PDFBibTeX XMLCite \textit{F. Bonizzoni} et al., J. Comput. Phys. 499, Article ID 112698, 20 p. (2024; Zbl 07819051) 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
Tyranowski, Tomasz M. Data-driven structure-preserving model reduction for stochastic Hamiltonian systems. (English) Zbl 07815422 J. Comput. Dyn. 11, No. 2, 220-255 (2024). MSC: 65C30 65D30 PDFBibTeX XMLCite \textit{T. M. Tyranowski}, J. Comput. Dyn. 11, No. 2, 220--255 (2024; Zbl 07815422) Full Text: DOI arXiv
Herkert, Robin; Buchfink, Patrick; Haasdonk, Bernard Dictionary-based online-adaptive structure-preserving model order reduction for parametric Hamiltonian systems. (English) Zbl 07811921 Adv. Comput. Math. 50, No. 1, Paper No. 12, 34 p. (2024). MSC: 37-XX 34C20 37M15 65P10 78M34 93A15 PDFBibTeX XMLCite \textit{R. Herkert} et al., Adv. Comput. Math. 50, No. 1, Paper No. 12, 34 p. (2024; Zbl 07811921) Full Text: DOI arXiv OA License
Karam, Pascal R.; Bamieh, Bassam Implicit boundary conditions in partial differential equations discretizations: identifying spurious modes and model reduction. (English) Zbl 07811330 J. Comput. Phys. 500, Article ID 112743, 14 p. (2024). MSC: 76Exx 65Lxx 76Mxx PDFBibTeX XMLCite \textit{P. R. Karam} and \textit{B. Bamieh}, J. Comput. Phys. 500, Article ID 112743, 14 p. (2024; Zbl 07811330) 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
Lukashevich, D.; Tyukin, I.; Brilliantov, N. Knowledge-informed neuro-integrators for aggregation kinetics. (English) Zbl 07810062 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107870, 22 p. (2024). MSC: 68T07 62R07 65L05 65L10 92C45 PDFBibTeX XMLCite \textit{D. Lukashevich} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107870, 22 p. (2024; Zbl 07810062) Full Text: DOI arXiv
Wang, Li; Miao, Zhen; Jiang, Yao-Lin Two-sided Krylov enhanced proper orthogonal decomposition methods for partial differential equations with variable coefficients. (English) Zbl 07798410 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23058, 22 p. (2024). MSC: 65L10 PDFBibTeX XMLCite \textit{L. Wang} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23058, 22 p. (2024; Zbl 07798410) Full Text: DOI
Aretz, Nicole; Chen, Peng; Degen, Denise; Veroy, Karen A greedy sensor selection algorithm for hyperparameterized linear Bayesian inverse problems with correlated noise models. (English) Zbl 07797623 J. Comput. Phys. 498, Article ID 112599, 24 p. (2024). MSC: 65Nxx 35Qxx 65Cxx PDFBibTeX XMLCite \textit{N. Aretz} et al., J. Comput. Phys. 498, Article ID 112599, 24 p. (2024; Zbl 07797623) Full Text: DOI arXiv
Zheng, Zhibao; Néron, David; Nackenhorst, Udo A stochastic LATIN method for stochastic and parameterized elastoplastic analysis. (English) Zbl 07796656 Comput. Methods Appl. Mech. Eng. 419, Article ID 116613, 26 p. (2024). MSC: 60-XX 65-XX PDFBibTeX XMLCite \textit{Z. Zheng} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116613, 26 p. (2024; Zbl 07796656) Full Text: DOI arXiv
Gao, Bin; Nguyen Thanh Son; Stykel, Tatjana Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications. (English) Zbl 07785311 Linear Algebra Appl. 682, 50-85 (2024). MSC: 53C30 65K05 PDFBibTeX XMLCite \textit{B. Gao} et al., Linear Algebra Appl. 682, 50--85 (2024; Zbl 07785311) Full Text: DOI arXiv
Oliver, Dylan J.; Turner, Ian W.; Carr, Elliot J. Dual-grid mapping method for the advection-diffusion-reaction equation in a heterogeneous medium. (English) Zbl 07784350 Comput. Math. Appl. 154, 78-90 (2024). MSC: 65N30 65N55 35J25 65F10 76S05 PDFBibTeX XMLCite \textit{D. J. Oliver} et al., Comput. Math. Appl. 154, 78--90 (2024; Zbl 07784350) Full Text: DOI
Spiridonov, Denis; Vasilyeva, Maria Non-local multi-continuum method (NLMC) for Darcy-Forchheimer flow in fractured media. (English) Zbl 07756779 J. Comput. Appl. Math. 438, Article ID 115574, 13 p. (2024). MSC: 65Nxx 76Mxx 76Sxx PDFBibTeX XMLCite \textit{D. Spiridonov} and \textit{M. Vasilyeva}, J. Comput. Appl. Math. 438, Article ID 115574, 13 p. (2024; Zbl 07756779) Full Text: DOI arXiv
Bonizzoni, Francesca; Pradovera, Davide; Ruggeri, Michele Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots. (English) Zbl 07817709 Math. Eng. (Springfield) 5, No. 4, Paper No. 74, 38 p. (2023). MSC: 65N30 65N50 65D05 65N99 78M34 35J05 35B05 35A21 35A09 35Q60 PDFBibTeX XMLCite \textit{F. Bonizzoni} et al., Math. Eng. (Springfield) 5, No. 4, Paper No. 74, 38 p. (2023; Zbl 07817709) Full Text: DOI arXiv
D’Amore, Luisa; Cacciapuoti, Rosalba Space-time decomposition of Kalman filter. (English) Zbl 07814768 Numer. Math., Theory Methods Appl. 16, No. 4, 847-882 (2023). MSC: 35Q93 49M27 49M41 65K15 65M32 PDFBibTeX XMLCite \textit{L. D'Amore} and \textit{R. Cacciapuoti}, Numer. Math., Theory Methods Appl. 16, No. 4, 847--882 (2023; Zbl 07814768) Full Text: DOI arXiv
Sharma, Harsh; Mu, Hongliang; Buchfink, Patrick; Geelen, Rudy; Glas, Silke; Kramer, Boris Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifolds. (English) Zbl 07804966 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116402, 23 p. (2023). MSC: 37-XX 65-XX PDFBibTeX XMLCite \textit{H. Sharma} et al., Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116402, 23 p. (2023; Zbl 07804966) Full Text: DOI arXiv
Romor, Francesco; Tezzele, Marco; Mrosek, Markus; Othmer, Carsten; Rozza, Gianluigi Multi-fidelity data fusion through parameter space reduction with applications to automotive engineering. (English) Zbl 07801064 Int. J. Numer. Methods Eng. 124, No. 23, 5293-5311 (2023). MSC: 41Axx 90Cxx 65Cxx PDFBibTeX XMLCite \textit{F. Romor} et al., Int. J. Numer. Methods Eng. 124, No. 23, 5293--5311 (2023; Zbl 07801064) Full Text: DOI arXiv OA License
Key, Fabian; von Danwitz, Max; Ballarin, Francesco; Rozza, Gianluigi Model order reduction for deforming domain problems in a time-continuous space-time setting. (English) Zbl 07801059 Int. J. Numer. Methods Eng. 124, No. 23, 5125-5150 (2023). MSC: 65M60 65M15 76Z05 92C35 PDFBibTeX XMLCite \textit{F. Key} et al., Int. J. Numer. Methods Eng. 124, No. 23, 5125--5150 (2023; Zbl 07801059) Full Text: DOI arXiv OA License
Diaz, Alejandro N.; Heinkenschloss, Matthias; Gosea, Ion Victor; Antoulas, Athanasios C. Interpolatory model reduction of quadratic-bilinear dynamical systems with quadratic-bilinear outputs. (English) Zbl 07785141 Adv. Comput. Math. 49, No. 6, Paper No. 95, 28 p. (2023). MSC: 65P99 PDFBibTeX XMLCite \textit{A. N. Diaz} et al., Adv. Comput. Math. 49, No. 6, Paper No. 95, 28 p. (2023; Zbl 07785141) Full Text: DOI
Zubik-Kowal, Barbara A physics-informed order-of-magnitude approach to handling dynamic iterations applied to models of physical systems: theoretical framework. (English) Zbl 07784829 Math. Methods Appl. Sci. 46, No. 13, 13620-13630 (2023). MSC: 34A30 65L05 PDFBibTeX XMLCite \textit{B. Zubik-Kowal}, Math. Methods Appl. Sci. 46, No. 13, 13620--13630 (2023; Zbl 07784829) Full Text: DOI
Matera, S.; Merdon, C.; Runge, D. Reduced basis approach for convection-diffusion equations with non-linear boundary reaction conditions. (English) Zbl 07781714 Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 335-343 (2023). Reviewer: Petr Sváček (Praha) MSC: 65N08 65N38 65N80 78A57 78M12 78M34 78M15 78A46 80A32 PDFBibTeX XMLCite \textit{S. Matera} et al., Springer Proc. Math. Stat. 432, 335--343 (2023; Zbl 07781714) Full Text: DOI
Heltai, Luca; Zunino, Paolo Reduced Lagrange multiplier approach for non-matching coupling of mixed-dimensional domains. (English) Zbl 07778939 Math. Models Methods Appl. Sci. 33, No. 12, 2425-2462 (2023). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{L. Heltai} and \textit{P. Zunino}, Math. Models Methods Appl. Sci. 33, No. 12, 2425--2462 (2023; Zbl 07778939) Full Text: DOI arXiv
Li, Kun; Huang, Ting-Zhu; Li, Liang; Lanteri, Stéphane Simulation of the interaction of light with 3-D metallic nanostructures using a proper orthogonal decomposition-Galerkin reduced-order discontinuous Galerkin time-domain method. (English) Zbl 07776946 Numer. Methods Partial Differ. Equations 39, No. 2, 932-954 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{K. Li} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 932--954 (2023; Zbl 07776946) Full Text: DOI
Diercks, Philipp; Veroy, Karen; Robens-Radermacher, Annika; Unger, Jörg F. Multiscale modeling of linear elastic heterogeneous structures via localized model order reduction. (English) Zbl 07772324 Int. J. Numer. Methods Eng. 124, No. 20, 4580-4602 (2023). MSC: 65Nxx 74Sxx 65Mxx PDFBibTeX XMLCite \textit{P. Diercks} et al., Int. J. Numer. Methods Eng. 124, No. 20, 4580--4602 (2023; Zbl 07772324) Full Text: DOI arXiv OA License
Goutaudier, Dimitri; Nobile, Fabio; Schiffmann, Jürg A new method to interpolate POD reduced bases-application to the parametric model order reduction of a gas bearings supported rotor. (English) Zbl 07772304 Int. J. Numer. Methods Eng. 124, No. 18, 4141-4170 (2023). MSC: 65M99 65N06 65L60 65D05 65D32 76N15 PDFBibTeX XMLCite \textit{D. Goutaudier} et al., Int. J. Numer. Methods Eng. 124, No. 18, 4141--4170 (2023; Zbl 07772304) Full Text: DOI OA License
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
Benner, Peter; Heiland, Jan Space and chaos-expansion Galerkin proper orthogonal decomposition low-order discretization of partial differential equations for uncertainty quantification. (English) Zbl 07772232 Int. J. Numer. Methods Eng. 124, No. 12, 2801-2817 (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{P. Benner} and \textit{J. Heiland}, Int. J. Numer. Methods Eng. 124, No. 12, 2801--2817 (2023; Zbl 07772232) Full Text: DOI arXiv OA License
Huang, Cheng; Duraisamy, Karthik Predictive reduced order modeling of chaotic multi-scale problems using adaptively sampled projections. (English) Zbl 07771273 J. Comput. Phys. 491, Article ID 112356, 31 p. (2023). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{C. Huang} and \textit{K. Duraisamy}, J. Comput. Phys. 491, Article ID 112356, 31 p. (2023; Zbl 07771273) Full Text: DOI arXiv
Li, Kun; Li, Yixin; Li, Liang; Lanteri, Stéphane Surrogate modeling of time-domain electromagnetic wave propagation via dynamic mode decomposition and radial basis function. (English) Zbl 07771271 J. Comput. Phys. 491, Article ID 112354, 23 p. (2023). MSC: 65Mxx 65Nxx 76Mxx PDFBibTeX XMLCite \textit{K. Li} et al., J. Comput. Phys. 491, Article ID 112354, 23 p. (2023; Zbl 07771271) Full Text: DOI
Anderson, Spenser; White, Cristina; Farhat, Charbel Space-local reduced-order bases for accelerating reduced-order models through sparsity. (English) Zbl 07769172 Int. J. Numer. Methods Eng. 124, No. 7, 1646-1671 (2023). MSC: 65Fxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{S. Anderson} et al., Int. J. Numer. Methods Eng. 124, No. 7, 1646--1671 (2023; Zbl 07769172) Full Text: DOI
Law, Frederick; Cerfon, Antoine; Peherstorfer, Benjamin; Wechsung, Florian Meta variance reduction for Monte Carlo estimation of energetic particle confinement during stellarator optimization. (English) Zbl 07766244 J. Comput. Phys. 495, Article ID 112524, 20 p. (2023). MSC: 65Cxx 60Hxx 35Rxx PDFBibTeX XMLCite \textit{F. Law} et al., J. Comput. Phys. 495, Article ID 112524, 20 p. (2023; Zbl 07766244) Full Text: DOI arXiv
Nguyen, Ngoc Cuong; Peraire, Jaime Efficient and accurate nonlinear model reduction via first-order empirical interpolation. (English) Zbl 07766226 J. Comput. Phys. 494, Article ID 112512, 19 p. (2023). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{N. C. Nguyen} and \textit{J. Peraire}, J. Comput. Phys. 494, Article ID 112512, 19 p. (2023; Zbl 07766226) 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
Gruber, Anthony; Tezaur, Irina Canonical and noncanonical Hamiltonian operator inference. (English) Zbl 07761316 Comput. Methods Appl. Mech. Eng. 416, Article ID 116334, 45 p. (2023). MSC: 65M22 65K10 65P10 PDFBibTeX XMLCite \textit{A. Gruber} and \textit{I. Tezaur}, Comput. Methods Appl. Mech. Eng. 416, Article ID 116334, 45 p. (2023; Zbl 07761316) Full Text: DOI arXiv
Silva, Francesco A. B.; Pagliantini, Cecilia; Grepl, Martin; Veroy, Karen A reduced basis ensemble Kalman method. (English) Zbl 1523.65080 GEM. Int. J. Geomath. 14, Paper No. 24, 31 p. (2023). MSC: 65M32 35Q86 62M20 76M21 PDFBibTeX XMLCite \textit{F. A. B. Silva} et al., GEM. Int. J. Geomath. 14, Paper No. 24, 31 p. (2023; Zbl 1523.65080) Full Text: DOI arXiv
König, Josie; Freitag, Melina A. Time-limited balanced truncation for data assimilation problems. (English) Zbl 07754883 J. Sci. Comput. 97, No. 2, Paper No. 47, 22 p. (2023). MSC: 93B11 62F15 65L99 93A15 PDFBibTeX XMLCite \textit{J. König} and \textit{M. A. Freitag}, J. Sci. Comput. 97, No. 2, Paper No. 47, 22 p. (2023; Zbl 07754883) Full Text: DOI arXiv OA License
Li, Wenxiong; Chen, Suiyin An improved model order reduction method for dynamic analysis of large-scale structures with local nonlinearities. (English) Zbl 1525.65034 Appl. Math. Modelling 120, 786-811 (2023). MSC: 65F25 65F50 65M60 PDFBibTeX XMLCite \textit{W. Li} and \textit{S. Chen}, Appl. Math. Modelling 120, 786--811 (2023; Zbl 1525.65034) Full Text: DOI
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
Barnett, Joshua; Farhat, Charbel; Maday, Yvon Neural-network-augmented projection-based model order reduction for mitigating the Kolmogorov barrier to reducibility. (English) Zbl 07742906 J. Comput. Phys. 492, Article ID 112420, 20 p. (2023). MSC: 65Mxx 65Nxx 68Txx PDFBibTeX XMLCite \textit{J. Barnett} et al., J. Comput. Phys. 492, Article ID 112420, 20 p. (2023; Zbl 07742906) Full Text: DOI arXiv
Strazzullo, Maria; Vicini, Fabio POD-based reduced order methods for optimal control problems governed by parametric partial differential equation with varying boundary control. (English) Zbl 07736215 Appl. Math. Comput. 457, Article ID 128191, 20 p. (2023). MSC: 49J20 46N40 65N30 PDFBibTeX XMLCite \textit{M. Strazzullo} and \textit{F. Vicini}, Appl. Math. Comput. 457, Article ID 128191, 20 p. (2023; Zbl 07736215) Full Text: DOI arXiv
Chetry, Manisha; Borzacchiello, Domenico; D’Avino, Gaetano; Rocha Da Silva, Luisa Comparing different stabilization strategies for reduced order modeling of viscoelastic fluid flow problems. (English) Zbl 1521.76037 Comput. Fluids 265, Article ID 106013, 13 p. (2023). MSC: 76A10 76M10 65N30 PDFBibTeX XMLCite \textit{M. Chetry} et al., Comput. Fluids 265, Article ID 106013, 13 p. (2023; Zbl 1521.76037) Full Text: DOI
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
Davis, Lisa; Johns, William; Monzón, Lucas; Reynolds, Matthew Iterative stability enforcement in adaptive Antoulas-Anderson algorithms for \(\mathcal{H}_2\) model reduction. (English) Zbl 1523.65015 SIAM J. Sci. Comput. 45, No. 4, A1844-A1861 (2023). MSC: 65D15 41A20 PDFBibTeX XMLCite \textit{L. Davis} et al., SIAM J. Sci. Comput. 45, No. 4, A1844--A1861 (2023; Zbl 1523.65015) Full Text: DOI
Li, Sijing; Zhang, Cheng; Zhang, Zhiwen; Zhao, Hongkai A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems. (English) Zbl 1517.62030 Stat. Comput. 33, No. 4, Paper No. 90, 16 p. (2023). MSC: 62-08 35R60 60J22 65C05 65N21 65N30 78M34 PDFBibTeX XMLCite \textit{S. Li} et al., Stat. Comput. 33, No. 4, Paper No. 90, 16 p. (2023; Zbl 1517.62030) Full Text: DOI arXiv
Dang-Phuong-lan Nguyen; Hertrich, Johannes; Aujol, Jean-Francois; Berthoumieu, Yannick Image super-resolution with PCA reduced generalized Gaussian mixture models in materials science. (English) Zbl 07725197 Inverse Probl. Imaging 17, No. 6, 1165-1192 (2023). MSC: 62H12 62H25 62H35 65K05 PDFBibTeX XMLCite \textit{Dang-Phuong-lan Nguyen} et al., Inverse Probl. Imaging 17, No. 6, 1165--1192 (2023; Zbl 07725197) Full Text: DOI
Rumpler, Romain; Aumann, Quirin MWCAWE: a multivariate WCAWE approach for parametric model order reduction, and a sampling strategy for the bivariate case. (English) Zbl 07715248 J. Comput. Phys. 490, Article ID 112319, 22 p. (2023). MSC: 93Cxx 93Bxx 65Nxx PDFBibTeX XMLCite \textit{R. Rumpler} and \textit{Q. Aumann}, J. Comput. Phys. 490, Article ID 112319, 22 p. (2023; Zbl 07715248) Full Text: DOI
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
Liu, Junmin; Zhu, Deli; Yu, Luoyao; Zhu, Xuehu Specification testing of partially linear single-index models: a groupwise dimension reduction-based adaptive-to-model approach. (English) Zbl 07711194 Test 32, No. 1, 232-262 (2023). MSC: 62-XX 65-XX PDFBibTeX XMLCite \textit{J. Liu} et al., Test 32, No. 1, 232--262 (2023; Zbl 07711194) Full Text: DOI
Uy, Wayne Isaac Tan; Wang, Yuepeng; Wen, Yuxiao; Peherstorfer, Benjamin Active operator inference for learning low-dimensional dynamical-system models from noisy data. (English) Zbl 1515.93043 SIAM J. Sci. Comput. 45, No. 4, A1462-A1490 (2023). MSC: 93B30 60B20 62J05 65K10 68T05 PDFBibTeX XMLCite \textit{W. I. T. Uy} et al., SIAM J. Sci. Comput. 45, No. 4, A1462--A1490 (2023; Zbl 1515.93043) Full Text: DOI arXiv
Krah, Philipp; Büchholz, Steffen; Häringer, Matthias; Reiss, Julius Front transport reduction for complex moving fronts. Nonlinear model reduction for an advection-reaction-diffusion equation with a Kolmogorov-Petrovsky-Piskunov reaction term. (English) Zbl 07708370 J. Sci. Comput. 96, No. 1, Paper No. 28, 34 p. (2023). MSC: 65Mxx 76Mxx 68Txx PDFBibTeX XMLCite \textit{P. Krah} et al., J. Sci. Comput. 96, No. 1, Paper No. 28, 34 p. (2023; Zbl 07708370) Full Text: DOI arXiv
Alsup, Terrence; Peherstorfer, Benjamin Context-aware surrogate modeling for balancing approximation and sampling costs in multifidelity importance sampling and Bayesian inverse problems. (English) Zbl 1514.65005 SIAM/ASA J. Uncertain. Quantif. 11, 285-319 (2023). MSC: 65C05 35R60 62F15 62-08 PDFBibTeX XMLCite \textit{T. Alsup} and \textit{B. Peherstorfer}, SIAM/ASA J. Uncertain. Quantif. 11, 285--319 (2023; Zbl 1514.65005) Full Text: DOI arXiv
Lykkegaard, M. B.; Dodwell, T. J.; Fox, C.; Mingas, G.; Scheichl, R. Multilevel delayed acceptance MCMC. (English) Zbl 1515.62045 SIAM/ASA J. Uncertain. Quantif. 11, 1-30 (2023). MSC: 62F15 62M05 65C05 65C40 PDFBibTeX XMLCite \textit{M. B. Lykkegaard} et al., SIAM/ASA J. Uncertain. Quantif. 11, 1--30 (2023; Zbl 1515.62045) Full Text: DOI arXiv
Wang, Zhao-Hong; Jiang, Yao-Lin; Xu, Kang-Li Reduced-order state-space models for two-dimensional discrete systems via bivariate discrete orthogonal polynomials. (English) Zbl 07704444 Math. Comput. Simul. 212, 441-456 (2023). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{Z.-H. Wang} et al., Math. Comput. Simul. 212, 441--456 (2023; Zbl 07704444) Full Text: DOI
Delagnes, T.; Henneron, T.; Clenet, S.; Fratila, M.; Ducreux, J. P. Comparison of reduced basis construction methods for model order reduction, with application to non-linear low frequency electromagnetics. (English) Zbl 07704417 Math. Comput. Simul. 211, 470-488 (2023). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{T. Delagnes} et al., Math. Comput. Simul. 211, 470--488 (2023; Zbl 07704417) Full Text: DOI
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
Dietze, Saskia; Grepl, Martin A. Reduced order model predictive control for parametrized parabolic partial differential equations. (English) Zbl 07702354 Appl. Math. Comput. 453, Article ID 128044, 28 p. (2023). MSC: 35K15 35Q93 49K20 65M22 93C20 PDFBibTeX XMLCite \textit{S. Dietze} and \textit{M. A. Grepl}, Appl. Math. Comput. 453, Article ID 128044, 28 p. (2023; Zbl 07702354) Full Text: DOI arXiv
Chung, Eric; Efendiev, Yalchin; Hou, Thomas Y. Multiscale model reduction. Multiscale finite element methods and their generalizations. (English) Zbl 07701013 Applied Mathematical Sciences 212. Cham: Springer (ISBN 978-3-031-20408-1/hbk; 978-3-031-20411-1/pbk; 978-3-031-20409-8/ebook). xiv, 491 p. (2023). MSC: 65M60 65-01 65N30 65M55 65M06 65N50 65M12 65M15 65N25 49M41 76M10 74S05 PDFBibTeX XMLCite \textit{E. Chung} et al., Multiscale model reduction. Multiscale finite element methods and their generalizations. Cham: Springer (2023; Zbl 07701013) Full Text: DOI
Romor, Francesco; Stabile, Giovanni; Rozza, Gianluigi Non-linear manifold reduced-order models with convolutional autoencoders and reduced over-collocation method. (English) Zbl 07698834 J. Sci. Comput. 94, No. 3, Paper No. 74, 39 p. (2023). MSC: 68T07 65M22 65D15 PDFBibTeX XMLCite \textit{F. Romor} et al., J. Sci. Comput. 94, No. 3, Paper No. 74, 39 p. (2023; Zbl 07698834) Full Text: DOI arXiv
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
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
Wang, Zhongjian; Zhang, Wenlong; Zhang, Zhiwen A data-driven model reduction method for parabolic inverse source problems and its convergence analysis. (English) Zbl 07690228 J. Comput. Phys. 487, Article ID 112156, 15 p. (2023). MSC: 65Mxx 35Rxx 65Nxx PDFBibTeX XMLCite \textit{Z. Wang} et al., J. Comput. Phys. 487, Article ID 112156, 15 p. (2023; Zbl 07690228) Full Text: DOI arXiv
Niakh, Idrissa; Drouet, Guillaume; Ehrlacher, Virginie; Ern, Alexandre Stable model reduction for linear variational inequalities with parameter-dependent constraints. (English) Zbl 1515.65299 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 167-189 (2023). MSC: 65N30 65N12 65N22 35A23 35A01 35A02 49M41 74M15 74S05 PDFBibTeX XMLCite \textit{I. Niakh} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 1, 167--189 (2023; Zbl 1515.65299) Full Text: DOI
Kusch, Jonas; Stammer, Pia A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy. (English) Zbl 1515.65101 ESAIM, Math. Model. Numer. Anal. 57, No. 2, 865-891 (2023). MSC: 65F55 65M12 65M08 65M70 PDFBibTeX XMLCite \textit{J. Kusch} and \textit{P. Stammer}, ESAIM, Math. Model. Numer. Anal. 57, No. 2, 865--891 (2023; Zbl 1515.65101) Full Text: DOI arXiv
Brennan, Michael C.; Embree, Mark; Gugercin, Serkan Contour integral methods for nonlinear eigenvalue problems: a systems theoretic approach. (English) Zbl 07683990 SIAM Rev. 65, No. 2, 439-470 (2023). MSC: 47J10 65H17 PDFBibTeX XMLCite \textit{M. C. Brennan} et al., SIAM Rev. 65, No. 2, 439--470 (2023; Zbl 07683990) Full Text: DOI arXiv
Blonigan, Patrick J.; Parish, Eric J. Evaluation of dual-weighted residual and machine learning error estimation for projection-based reduced-order models of steady partial differential equations. (English) Zbl 07682856 Comput. Methods Appl. Mech. Eng. 409, Article ID 115988, 32 p. (2023). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{P. J. Blonigan} and \textit{E. J. Parish}, Comput. Methods Appl. Mech. Eng. 409, Article ID 115988, 32 p. (2023; Zbl 07682856) Full Text: DOI
Hess, Martin W.; Quaini, Annalisa; Rozza, Gianluigi A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation. (English) Zbl 1514.35352 Adv. Comput. Math. 49, No. 2, Paper No. 22, 27 p. (2023). MSC: 35Q35 76D05 76E30 65M70 65M06 65N35 65N99 65F20 76M22 76M20 35R01 PDFBibTeX XMLCite \textit{M. W. Hess} et al., Adv. Comput. Math. 49, No. 2, Paper No. 22, 27 p. (2023; Zbl 1514.35352) 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
Buchfink, Patrick; Glas, Silke; Haasdonk, Bernard Symplectic model reduction of Hamiltonian systems on nonlinear manifolds and approximation with weakly symplectic autoencoder. (English) Zbl 07673289 SIAM J. Sci. Comput. 45, No. 2, A289-A311 (2023). MSC: 65P10 34C20 37J25 37M15 37N30 PDFBibTeX XMLCite \textit{P. Buchfink} et al., SIAM J. Sci. Comput. 45, No. 2, A289--A311 (2023; Zbl 07673289) 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
Sakamoto, Hiroki; Sato, Kazuhiro Random projection preserves stability with high probability. (English) Zbl 1526.65015 JSIAM Lett. 15, 17-20 (2023). MSC: 65F55 65F15 65P99 65L99 PDFBibTeX XMLCite \textit{H. Sakamoto} and \textit{K. Sato}, JSIAM Lett. 15, 17--20 (2023; Zbl 1526.65015) Full Text: DOI
Wilson, Dan A direct method approach for data-driven inference of high accuracy adaptive phase-isostable reduced order models. (English) Zbl 07660955 Physica D 446, Article ID 133675, 15 p. (2023). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{D. Wilson}, Physica D 446, Article ID 133675, 15 p. (2023; Zbl 07660955) Full Text: DOI
Wang, Zhao-Hong; Jiang, Yao-Lin; Xu, Kang-Li Reduced-order modeling methods via bivariate discrete orthogonal polynomials for two-dimensional discrete state-delayed systems. (English) Zbl 1520.93063 Multidimensional Syst. Signal Process. 34, No. 1, 227-248 (2023). MSC: 93B11 65M70 PDFBibTeX XMLCite \textit{Z.-H. Wang} et al., Multidimensional Syst. Signal Process. 34, No. 1, 227--248 (2023; Zbl 1520.93063) Full Text: DOI
Farcaș, Ionuț-Gabriel; Peherstorfer, Benjamin; Neckel, Tobias; Jenko, Frank; Bungartz, Hans-Joachim Context-aware learning of hierarchies of low-fidelity models for multi-fidelity uncertainty quantification. (English) Zbl 07658109 Comput. Methods Appl. Mech. Eng. 406, Article ID 115908, 23 p. (2023). MSC: 35Q62 35R60 60H35 62F35 65C05 65C60 68U20 PDFBibTeX XMLCite \textit{I.-G. Farcaș} et al., Comput. Methods Appl. Mech. Eng. 406, Article ID 115908, 23 p. (2023; Zbl 07658109) Full Text: DOI arXiv
Li, Xingjie; Lu, Fei; Tao, Molei; Ye, Felix X.-F. NySALT: Nyström-type inference-based schemes adaptive to large time-stepping. (English) Zbl 07652832 J. Comput. Phys. 477, Article ID 111952, 23 p. (2023). MSC: 65Lxx 65Pxx 60Hxx PDFBibTeX XMLCite \textit{X. Li} et al., J. Comput. Phys. 477, Article ID 111952, 23 p. (2023; Zbl 07652832) Full Text: DOI arXiv
Mai, Tina; Cheung, Siu Wun; Park, Jun Sur Richard Constraint energy minimizing generalized multiscale finite element method for multi-continuum Richards equations. (English) Zbl 07652808 J. Comput. Phys. 477, Article ID 111915, 20 p. (2023). MSC: 65Nxx 65Mxx 76Sxx PDFBibTeX XMLCite \textit{T. Mai} et al., J. Comput. Phys. 477, Article ID 111915, 20 p. (2023; Zbl 07652808) Full Text: DOI arXiv
Ivagnes, Anna; Stabile, Giovanni; Mola, Andrea; Iliescu, Traian; Rozza, Gianluigi Pressure data-driven variational multiscale reduced order models. (English) Zbl 07652789 J. Comput. Phys. 476, Article ID 111904, 28 p. (2023). MSC: 65Mxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{A. Ivagnes} et al., J. Comput. Phys. 476, Article ID 111904, 28 p. (2023; Zbl 07652789) Full Text: DOI arXiv
Huhn, Quincy A.; Tano, Mauricio E.; Ragusa, Jean C.; Choi, Youngsoo Parametric dynamic mode decomposition for reduced order modeling. (English) Zbl 07649273 J. Comput. Phys. 475, Article ID 111852, 20 p. (2023). MSC: 65Mxx 37Mxx 65-XX PDFBibTeX XMLCite \textit{Q. A. Huhn} et al., J. Comput. Phys. 475, Article ID 111852, 20 p. (2023; Zbl 07649273) Full Text: DOI arXiv
Etter, Philip A.; Fan, Yuwei; Ying, Lexing Coarse-proxy reduced basis methods for integral equations. (English) Zbl 07649259 J. Comput. Phys. 475, Article ID 111835, 21 p. (2023). MSC: 65Nxx 65Rxx 78Axx PDFBibTeX XMLCite \textit{P. A. Etter} et al., J. Comput. Phys. 475, Article ID 111835, 21 p. (2023; Zbl 07649259) Full Text: DOI arXiv
Aliyev, Nicat Subspace method for the estimation of large-scale structured real stability radius. (English) Zbl 1506.65059 Numer. Algorithms 92, No. 2, 1289-1310 (2023). MSC: 65F15 65P99 37M15 PDFBibTeX XMLCite \textit{N. Aliyev}, Numer. Algorithms 92, No. 2, 1289--1310 (2023; Zbl 1506.65059) Full Text: DOI arXiv
Iollo, Angelo; Sambataro, Giulia; Taddei, Tommaso A one-shot overlapping Schwarz method for component-based model reduction: application to nonlinear elasticity. (English) Zbl 07644859 Comput. Methods Appl. Mech. Eng. 404, Article ID 115786, 32 p. (2023). MSC: 65N30 41A45 35J15 PDFBibTeX XMLCite \textit{A. Iollo} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115786, 32 p. (2023; Zbl 07644859) Full Text: DOI arXiv
Fu, Jinlong; Xiao, Dunhui; Fu, Rui; Li, Chenfeng; Zhu, Chuanhua; Arcucci, Rossella; Navon, Ionel M. Physics-data combined machine learning for parametric reduced-order modelling of nonlinear dynamical systems in small-data regimes. (English) Zbl 07644844 Comput. Methods Appl. Mech. Eng. 404, Article ID 115771, 49 p. (2023). MSC: 68-XX 65-XX PDFBibTeX XMLCite \textit{J. Fu} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115771, 49 p. (2023; Zbl 07644844) Full Text: DOI
Gruber, Anthony; Gunzburger, Max; Ju, Lili; Wang, Zhu Energetically consistent model reduction for metriplectic systems. (English) Zbl 07644831 Comput. Methods Appl. Mech. Eng. 404, Article ID 115709, 21 p. (2023). MSC: 65M22 65M60 PDFBibTeX XMLCite \textit{A. Gruber} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115709, 21 p. (2023; Zbl 07644831) Full Text: DOI arXiv
Hess, Martin; Rozza, Gianluigi Model reduction using sparse polynomial interpolation for the incompressible Navier-Stokes equations. (English) Zbl 1506.65235 Vietnam J. Math. 51, No. 1, 199-211 (2023). MSC: 65N35 65D05 65N30 41A05 41A10 76D05 76M12 76M22 76M10 35Q30 PDFBibTeX XMLCite \textit{M. Hess} and \textit{G. Rozza}, Vietnam J. Math. 51, No. 1, 199--211 (2023; Zbl 1506.65235) Full Text: DOI arXiv
Geelen, Rudy; Wright, Stephen; Willcox, Karen Operator inference for non-intrusive model reduction with quadratic manifolds. (English) Zbl 07644207 Comput. Methods Appl. Mech. Eng. 403, Part B, Article ID 115717, 24 p. (2023). MSC: 68-XX 65-XX PDFBibTeX XMLCite \textit{R. Geelen} et al., Comput. Methods Appl. Mech. Eng. 403, Part B, Article ID 115717, 24 p. (2023; Zbl 07644207) Full Text: DOI arXiv
Alireza Mirhoseini, Marzieh; Zahr, Matthew J. Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking. (English) Zbl 07625408 J. Comput. Phys. 473, Article ID 111739, 31 p. (2023). MSC: 65Mxx 65Fxx 65Nxx PDFBibTeX XMLCite \textit{M. Alireza Mirhoseini} and \textit{M. J. Zahr}, J. Comput. Phys. 473, Article ID 111739, 31 p. (2023; Zbl 07625408) Full Text: DOI arXiv
Issan, Opal; Kramer, Boris Predicting solar wind streams from the inner-heliosphere to Earth via shifted operator inference. (English) Zbl 07625381 J. Comput. Phys. 473, Article ID 111689, 25 p. (2023). MSC: 65Mxx 41Axx 93Cxx PDFBibTeX XMLCite \textit{O. Issan} and \textit{B. Kramer}, J. Comput. Phys. 473, Article ID 111689, 25 p. (2023; Zbl 07625381) Full Text: DOI arXiv
Cheung, Siu Wun; Choi, Youngsoo; Copeland, Dylan Matthew; Huynh, Kevin Local Lagrangian reduced-order modeling for the Rayleigh-Taylor instability by solution manifold decomposition. (English) Zbl 07620355 J. Comput. Phys. 472, Article ID 111655, 29 p. (2023). MSC: 65Mxx 76Mxx 65Fxx PDFBibTeX XMLCite \textit{S. W. Cheung} et al., J. Comput. Phys. 472, Article ID 111655, 29 p. (2023; Zbl 07620355) 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
Spiridonov, Denis; Stepanov, Sergei; Vasiliy, Vasil’ev An online generalized multiscale finite element method for heat and mass transfer problem with artificial ground freezing. (English) Zbl 1502.65141 J. Comput. Appl. Math. 417, Article ID 114561, 15 p. (2023). MSC: 65M60 65M06 65N30 65M15 80A22 80A19 76S05 80M10 80M20 PDFBibTeX XMLCite \textit{D. Spiridonov} et al., J. Comput. Appl. Math. 417, Article ID 114561, 15 p. (2023; Zbl 1502.65141) Full Text: DOI arXiv
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
Ozer, Ahmet Ozkan; Aydin, Ahmet Kaan; Walterman, Jacob A Robust Finite-Difference Model Reduction for the Boundary Feedback Stabilization of Fully-dynamic Piezoelectric Beams. arXiv:2309.07492 Preprint, arXiv:2309.07492 [math.NA] (2023). MSC: 65N22 65M06 65M60 93D15 78M34 BibTeX Cite \textit{A. O. Ozer} et al., ``A Robust Finite-Difference Model Reduction for the Boundary Feedback Stabilization of Fully-dynamic Piezoelectric Beams'', Preprint, arXiv:2309.07492 [math.NA] (2023) Full Text: arXiv OA License
Alghamdi, Moataz; Bertrand, Fleurianne; Boffi, Daniele; Halim, Abdul A data-driven method for parametric PDE Eigenvalue Problems using Gaussian Process with different covariance functions. arXiv:2303.18064 Preprint, arXiv:2303.18064 [math.NA] (2023). MSC: 65N25 65N30 35B30 78M34 35P15 BibTeX Cite \textit{M. Alghamdi} et al., ``A data-driven method for parametric PDE Eigenvalue Problems using Gaussian Process with different covariance functions'', Preprint, arXiv:2303.18064 [math.NA] (2023) Full Text: arXiv OA License
Pradovera, Davide; Nonino, Monica; Perugia, Ilaria Geometry-based approximation of waves in complex domains. arXiv:2301.13613 Preprint, arXiv:2301.13613 [math.NA] (2023). MSC: 35L05 35Q60 65M25 78A45 78M34 BibTeX Cite \textit{D. Pradovera} et al., ``Geometry-based approximation of waves in complex domains'', Preprint, arXiv:2301.13613 [math.NA] (2023) Full Text: arXiv OA License
Bochev, Pavel; Paskaleva, Biliana Development of data-driven exponential integrators with application to modeling of delay photocurrents. (English) Zbl 07779689 Numer. Methods Partial Differ. Equations 38, No. 6, 2012-2044 (2022). MSC: 65M60 65M20 65L06 65L04 68T05 68T07 78A40 78A35 78A25 78M34 82D37 93B30 35A24 35R07 35Q60 PDFBibTeX XMLCite \textit{P. Bochev} and \textit{B. Paskaleva}, Numer. Methods Partial Differ. Equations 38, No. 6, 2012--2044 (2022; Zbl 07779689) Full Text: DOI