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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Panagiotopoulos, Dionysios; Desmet, Wim; Deckers, Elke Parametric model order reduction for acoustic boundary element method systems through a multiparameter Krylov subspaces recycling strategy. (English) Zbl 07769288 Int. J. Numer. Methods Eng. 123, No. 22, 5546-5569 (2022). MSC: 65Fxx PDFBibTeX XMLCite \textit{D. Panagiotopoulos} et al., Int. J. Numer. Methods Eng. 123, No. 22, 5546--5569 (2022; Zbl 07769288) Full Text: DOI
Iollo, Angelo; Sambataro, Giulia; Taddei, Tommaso An adaptive projection-based model reduction method for nonlinear mechanics with internal variables: application to thermo-hydro-mechanical systems. (English) Zbl 07767890 Int. J. Numer. Methods Eng. 123, No. 12, 2894-2918 (2022). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{A. Iollo} et al., Int. J. Numer. Methods Eng. 123, No. 12, 2894--2918 (2022; Zbl 07767890) Full Text: DOI arXiv
Sukuntee, Norapon; Chaturantabut, Saifon Dictionary-based model order reduction via POD-DEIM with support vector machine for the parametrized Burgers’ equation. (English) Zbl 07732584 Thai J. Math., Spec. Iss.: Annual Meeting in Mathematics 2021, 38-52 (2022). MSC: 65F30 34A45 PDFBibTeX XMLCite \textit{N. Sukuntee} and \textit{S. Chaturantabut}, Thai J. Math., 38--52 (2022; Zbl 07732584) Full Text: Link
Tezaur, Radek; As’ad, Faisal; Farhat, Charbel Reprint of: Robust and globally efficient reduction of parametric, highly nonlinear computational models and real time online performance. (English) Zbl 1507.65213 Comput. Methods Appl. Mech. Eng. 402, Article ID 115747, 25 p. (2022). MSC: 65M99 PDFBibTeX XMLCite \textit{R. Tezaur} et al., Comput. Methods Appl. Mech. Eng. 402, Article ID 115747, 25 p. (2022; Zbl 1507.65213) Full Text: DOI
Banholzer, Stefan; Keil, Tim; Ohlberger, Mario; Mechelli, Luca; Schindler, Felix; Volkwein, Stefan An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization. (English) Zbl 1510.90268 Pure Appl. Funct. Anal. 7, No. 5, 1561-1596 (2022). MSC: 90C31 35J20 65N30 90C06 PDFBibTeX XMLCite \textit{S. Banholzer} et al., Pure Appl. Funct. Anal. 7, No. 5, 1561--1596 (2022; Zbl 1510.90268) Full Text: arXiv Link
Castle, M.; Richardson, G.; Foster, J. M. Understanding rapid charge and discharge in nano-structured lithium iron phosphate cathodes. (English) Zbl 1504.78013 Eur. J. Appl. Math. 33, No. 2, 328-368 (2022). MSC: 78A57 78A35 35B40 35C20 35M33 65M20 78M34 PDFBibTeX XMLCite \textit{M. Castle} et al., Eur. J. Appl. Math. 33, No. 2, 328--368 (2022; Zbl 1504.78013) 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
Black, Felix; Schulze, Philipp; Unger, Benjamin Modal decomposition of flow data via gradient-based transport optimization. (English) Zbl 1513.76109 King, Rudibert (ed.) et al., Active flow and combustion control 2021. Papers contributed to the conference, Berlin, Germany, September 28–29, 2021. Cham: Springer. Notes Numer. Fluid Mech. Multidiscip. Des. 152, 203-224 (2022). MSC: 76M99 65K10 PDFBibTeX XMLCite \textit{F. Black} et al., Notes Numer. Fluid Mech. Multidiscip. Des. 152, 203--224 (2022; Zbl 1513.76109) Full Text: DOI arXiv
Iollo, Angelo; Taddei, Tommaso Mapping of coherent structures in parameterized flows by learning optimal transportation with Gaussian models. (English) Zbl 07605619 J. Comput. Phys. 471, Article ID 111671, 24 p. (2022). MSC: 65Mxx 65Nxx 26Bxx PDFBibTeX XMLCite \textit{A. Iollo} and \textit{T. Taddei}, J. Comput. Phys. 471, Article ID 111671, 24 p. (2022; Zbl 07605619) Full Text: DOI arXiv
Xie, Xiang; Wang, Wei; He, Kai; Li, Guanglin Fast model order reduction boundary element method for large-scale acoustic systems involving surface impedance. (English) Zbl 1507.76145 Comput. Methods Appl. Mech. Eng. 400, Article ID 115618, 17 p. (2022). MSC: 76M15 65N38 76Q05 PDFBibTeX XMLCite \textit{X. Xie} et al., Comput. Methods Appl. Mech. Eng. 400, Article ID 115618, 17 p. (2022; Zbl 1507.76145) Full Text: DOI
Behne, Patrick; Vermaak, Jan; Ragusa, Jean C. Minimally-invasive parametric model-order reduction for sweep-based radiation transport. (English) Zbl 07592130 J. Comput. Phys. 469, Article ID 111525, 18 p. (2022). MSC: 65Nxx 65-XX 65Mxx PDFBibTeX XMLCite \textit{P. Behne} et al., J. Comput. Phys. 469, Article ID 111525, 18 p. (2022; Zbl 07592130) Full Text: DOI
Tezaur, Radek; As’ad, Faisal; Farhat, Charbel Robust and globally efficient reduction of parametric, highly nonlinear computational models and real time online performance. (English) Zbl 1507.65212 Comput. Methods Appl. Mech. Eng. 399, Article ID 115392, 25 p. (2022). MSC: 65M99 PDFBibTeX XMLCite \textit{R. Tezaur} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115392, 25 p. (2022; Zbl 1507.65212) Full Text: DOI
Pichi, Federico; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction. (English) Zbl 1497.35389 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1361-1400 (2022). MSC: 35Q35 76D05 49J20 49M41 65P30 65N25 35B32 35B35 76M10 PDFBibTeX XMLCite \textit{F. Pichi} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1361--1400 (2022; Zbl 1497.35389) 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
Cheng, Fangxiong; Xu, Hui; Feng, Xinlong Retracted: Model order reduction method based on machine learning for parameterized time-dependent partial differential equations. (English) Zbl 07568384 J. Sci. Comput. 92, No. 2, Paper No. 64, 25 p. (2022); retraction note ibid. 93, No. 3, Paper No. 71, 1 p. (2022). MSC: 68Txx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{F. Cheng} et al., J. Sci. Comput. 92, No. 2, Paper No. 64, 25 p. (2022; Zbl 07568384) Full Text: DOI
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
Zeng, Xianyi; Stabile, Giovanni; Karatzas, Efthymios N.; Scovazzi, Guglielmo; Rozza, Gianluigi Embedded domain reduced basis models for the shallow water hyperbolic equations with the shifted boundary method. (English) Zbl 1507.76128 Comput. Methods Appl. Mech. Eng. 398, Article ID 115143, 29 p. (2022). MSC: 76M10 65N30 76B15 PDFBibTeX XMLCite \textit{X. Zeng} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115143, 29 p. (2022; Zbl 1507.76128) Full Text: DOI arXiv
Cheng, Fangxiong; Xu, Hui; Feng, Xinlong Model order reduction method based on (r)POD-ANNs for parameterized time-dependent partial differential equations. (English) Zbl 1521.65112 Comput. Fluids 241, Article ID 105481, 13 p. (2022). MSC: 65M99 68T07 PDFBibTeX XMLCite \textit{F. Cheng} et al., Comput. Fluids 241, Article ID 105481, 13 p. (2022; Zbl 1521.65112) Full Text: DOI
Du, Eugene; Yano, Masayuki Efficient hyperreduction of high-order discontinuous Galerkin methods: element-wise and point-wise reduced quadrature formulations. (English) Zbl 07561076 J. Comput. Phys. 466, Article ID 111399, 20 p. (2022). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{E. Du} and \textit{M. Yano}, J. Comput. Phys. 466, Article ID 111399, 20 p. (2022; Zbl 07561076) Full Text: DOI
Binder, Andreas; Jadhav, Onkar; Mehrmann, Volker Error analysis of a model order reduction framework for financial risk analysis. (English) Zbl 1492.35355 ETNA, Electron. Trans. Numer. Anal. 55, 469-507 (2022). MSC: 35Q91 35L10 65M60 91G30 91G60 91G80 PDFBibTeX XMLCite \textit{A. Binder} et al., ETNA, Electron. Trans. Numer. Anal. 55, 469--507 (2022; Zbl 1492.35355) Full Text: DOI arXiv Link
Mamonov, Alexander V.; Olshanskii, Maxim A. Interpolatory tensorial reduced order models for parametric dynamical systems. (English) Zbl 1507.65293 Comput. Methods Appl. Mech. Eng. 397, Article ID 115122, 30 p. (2022). MSC: 65P99 65D32 65M60 65N30 PDFBibTeX XMLCite \textit{A. V. Mamonov} and \textit{M. A. Olshanskii}, Comput. Methods Appl. Mech. Eng. 397, Article ID 115122, 30 p. (2022; Zbl 1507.65293) Full Text: DOI arXiv
Palitta, Davide; Lefteriu, Sanda An efficient, memory-saving approach for the Loewner framework. (English) Zbl 1497.65069 J. Sci. Comput. 91, No. 2, Paper No. 31, 25 p. (2022). MSC: 65F15 15A18 15B05 PDFBibTeX XMLCite \textit{D. Palitta} and \textit{S. Lefteriu}, J. Sci. Comput. 91, No. 2, Paper No. 31, 25 p. (2022; Zbl 1497.65069) Full Text: DOI arXiv
Hamadi, M. A.; Jbilou, K.; Ratnani, A. A model reduction method in large scale dynamical systems using an extended-rational block Arnoldi method. (English) Zbl 1487.65042 J. Appl. Math. Comput. 68, No. 1, 271-293 (2022). MSC: 65F15 65F50 65P99 93B11 PDFBibTeX XMLCite \textit{M. A. Hamadi} et al., J. Appl. Math. Comput. 68, No. 1, 271--293 (2022; Zbl 1487.65042) Full Text: DOI
Ferrero, Andrea; Taddei, Tommaso; Zhang, Lei Registration-based model reduction of parameterized two-dimensional conservation laws. (English) Zbl 1515.65291 J. Comput. Phys. 457, Article ID 111068, 22 p. (2022). MSC: 65N30 PDFBibTeX XMLCite \textit{A. Ferrero} et al., J. Comput. Phys. 457, Article ID 111068, 22 p. (2022; Zbl 1515.65291) Full Text: DOI arXiv
Kim, Youngkyu; Choi, Youngsoo; Widemann, David; Zohdi, Tarek A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder. (English) Zbl 07517153 J. Comput. Phys. 451, Article ID 110841, 29 p. (2022). MSC: 65Mxx 65Lxx 68Txx PDFBibTeX XMLCite \textit{Y. Kim} et al., J. Comput. Phys. 451, Article ID 110841, 29 p. (2022; Zbl 07517153) Full Text: DOI arXiv
Huang, Cheng; Wentland, Christopher R.; Duraisamy, Karthik; Merkle, Charles Model reduction for multi-scale transport problems using model-form preserving least-squares projections with variable transformation. (English) Zbl 07516825 J. Comput. Phys. 448, Article ID 110742, 40 p. (2022). MSC: 76Mxx 65Mxx 76Dxx PDFBibTeX XMLCite \textit{C. Huang} et al., J. Comput. Phys. 448, Article ID 110742, 40 p. (2022; Zbl 07516825) Full Text: DOI arXiv
Nick, Jörg; Kovács, Balázs; Lubich, Christian Time-dependent electromagnetic scattering from thin layers. (English) Zbl 1491.35408 Numer. Math. 150, No. 4, 1123-1164 (2022). MSC: 35Q61 78A45 65M60 65L06 65N30 65M38 78M10 78M15 78M34 65M12 65R20 35A01 35A02 PDFBibTeX XMLCite \textit{J. Nick} et al., Numer. Math. 150, No. 4, 1123--1164 (2022; Zbl 1491.35408) Full Text: DOI arXiv
Dinh, Huy; Antil, Harbir; Chen, Yanlai; Cherkaev, Elena; Narayan, Akil Model reduction for fractional elliptic problems using Kato’s formula. (English) Zbl 1486.35421 Math. Control Relat. Fields 12, No. 1, 115-146 (2022). MSC: 35R11 35J25 65M12 PDFBibTeX XMLCite \textit{H. Dinh} et al., Math. Control Relat. Fields 12, No. 1, 115--146 (2022; Zbl 1486.35421) Full Text: DOI arXiv
Li, Yanpeng; Jiang, Yaolin; Yang, Ping Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians. (English) Zbl 1510.93057 Appl. Math. Comput. 422, Article ID 126959, 17 p. (2022). MSC: 93B11 65P10 93C05 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Comput. 422, Article ID 126959, 17 p. (2022; Zbl 1510.93057) Full Text: DOI
Jiang, Jiahua; Sanogo, Fatoumata; Navasca, Carmeliza Low-CP-rank tensor completion via practical regularization. (English) Zbl 1495.65062 J. Sci. Comput. 91, No. 1, Paper No. 18, 20 p. (2022). MSC: 65F55 15A69 15A83 PDFBibTeX XMLCite \textit{J. Jiang} et al., J. Sci. Comput. 91, No. 1, Paper No. 18, 20 p. (2022; Zbl 1495.65062) Full Text: DOI arXiv
Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation. (English) Zbl 1510.76195 Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022). MSC: 76U05 37M15 37N10 65F22 65M06 68T05 76B15 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022; Zbl 1510.76195) Full Text: DOI arXiv
Redmann, Martin; Duff, Igor Pontes Full state approximation by Galerkin projection reduced order models for stochastic and bilinear systems. (English) Zbl 1510.93058 Appl. Math. Comput. 420, Article ID 126561, 21 p. (2022). MSC: 93B11 60H10 65C30 93E15 PDFBibTeX XMLCite \textit{M. Redmann} and \textit{I. P. Duff}, Appl. Math. Comput. 420, Article ID 126561, 21 p. (2022; Zbl 1510.93058) 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
Gentili, G. G.; Khosronejad, M.; Bernasconi, G.; Perotto, S.; Micheletti, S. Efficient modeling of multimode guided acoustic wave propagation in deformed pipelines by hierarchical model reduction. (English) Zbl 1484.65298 Appl. Numer. Math. 173, 329-344 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 35J25 35J05 76Q05 76M10 65N15 65N35 35Q35 PDFBibTeX XMLCite \textit{G. G. Gentili} et al., Appl. Numer. Math. 173, 329--344 (2022; Zbl 1484.65298) Full Text: DOI
Liu, Jun; Wang, Zhu A ROM-accelerated parallel-in-time preconditioner for solving all-at-once systems in unsteady convection-diffusion PDEs. (English) Zbl 1510.65199 Appl. Math. Comput. 416, Article ID 126750, 18 p. (2022). MSC: 65M06 35K57 65F08 65Y05 65Y20 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Z. Wang}, Appl. Math. Comput. 416, Article ID 126750, 18 p. (2022; Zbl 1510.65199) Full Text: DOI arXiv
Copeland, Dylan Matthew; Cheung, Siu Wun; Huynh, Kevin; Choi, Youngsoo Reduced order models for Lagrangian hydrodynamics. (English) Zbl 1507.76179 Comput. Methods Appl. Mech. Eng. 388, Article ID 114259, 43 p. (2022). MSC: 76M60 76M10 65M60 PDFBibTeX XMLCite \textit{D. M. Copeland} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114259, 43 p. (2022; Zbl 1507.76179) Full Text: DOI arXiv
Binder, Andreas; Jadhav, Onkar; Mehrmann, Volker Model order reduction for the simulation of parametric interest rate models in financial risk analysis. (English) Zbl 1485.65092 J. Math. Ind. 11, Paper No. 8, 34 p. (2021). MSC: 65M06 91G60 PDFBibTeX XMLCite \textit{A. Binder} et al., J. Math. Ind. 11, Paper No. 8, 34 p. (2021; Zbl 1485.65092) Full Text: DOI
Baars, S.; Castellana, D.; Wubs, F. W.; Dijkstra, H. A. Application of adaptive multilevel splitting to high-dimensional dynamical systems. (English) Zbl 07508476 J. Comput. Phys. 424, Article ID 109876, 12 p. (2021). MSC: 65-XX 93-XX PDFBibTeX XMLCite \textit{S. Baars} et al., J. Comput. Phys. 424, Article ID 109876, 12 p. (2021; Zbl 07508476) Full Text: DOI arXiv Link
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
Karachalios, Dimitrios S.; Gosea, Ion Victor; Antoulas, Athanasios C. The Loewner framework for system identification and reduction. (English) Zbl 07445316 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 181-228 (2021). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{D. S. Karachalios} et al., in: Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 181--228 (2021; Zbl 07445316) Full Text: DOI
Yildiz, Süleyman; Uzunca, Murat; Karasözen, Bülent Structure-preserving reduced-order modeling of non-traditional shallow water equation. (English) Zbl 1480.93068 Benner, Peter (ed.) et al., Model reduction of complex dynamical systems. Selected papers based on the presentations at the workshop, University of Graz, Graz, Austria, August 28–30, 2019. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 171, 327-345 (2021). MSC: 93B11 93C20 93C15 65M06 PDFBibTeX XMLCite \textit{S. Yildiz} et al., ISNM, Int. Ser. Numer. Math. 171, 327--345 (2021; Zbl 1480.93068) Full Text: DOI arXiv
Li, Yanpeng; Jiang, Yaolin; Yang, Ping Time domain model order reduction of discrete-time bilinear systems with Charlier polynomials. (English) Zbl 07431551 Math. Comput. Simul. 190, 905-920 (2021). MSC: 93-XX 65-XX PDFBibTeX XMLCite \textit{Y. Li} et al., Math. Comput. Simul. 190, 905--920 (2021; Zbl 07431551) 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
Sarna, Neeraj; Benner, Peter Data-driven model order reduction for problems with parameter-dependent jump-discontinuities. (English) Zbl 1507.65210 Comput. Methods Appl. Mech. Eng. 387, Article ID 114168, 30 p. (2021). MSC: 65M99 60G15 62J02 PDFBibTeX XMLCite \textit{N. Sarna} and \textit{P. Benner}, Comput. Methods Appl. Mech. Eng. 387, Article ID 114168, 30 p. (2021; Zbl 1507.65210) Full Text: DOI arXiv
Gierden, Christian; Waimann, Johanna; Svendsen, Bob; Reese, Stefanie A geometrically adapted reduced set of frequencies for a FFT-based microstructure simulation. (English) Zbl 1507.74567 Comput. Methods Appl. Mech. Eng. 386, Article ID 114131, 23 p. (2021). MSC: 74S99 65T99 74M25 PDFBibTeX XMLCite \textit{C. Gierden} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114131, 23 p. (2021; Zbl 1507.74567) Full Text: DOI arXiv
Xie, Xiang; Liu, Yijun Efficient multi-frequency solutions of FE-be coupled structural-acoustic problems using Arnoldi-based dimension reduction approach. (English) Zbl 1507.74521 Comput. Methods Appl. Mech. Eng. 386, Article ID 114126, 18 p. (2021). MSC: 74S05 74S15 65N38 65N30 74H45 PDFBibTeX XMLCite \textit{X. Xie} and \textit{Y. Liu}, Comput. Methods Appl. Mech. Eng. 386, Article ID 114126, 18 p. (2021; Zbl 1507.74521) Full Text: DOI