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: 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
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
Miao, Cun-Qiang; Cheng, Lan On flexible block Chebyshev-Davidson method for solving symmetric generalized eigenvalue problems. (English) Zbl 07773317 Adv. Comput. Math. 49, No. 6, Paper No. 78, 28 p. (2023). MSC: 65F15 65N25 PDFBibTeX XMLCite \textit{C.-Q. Miao} and \textit{L. Cheng}, Adv. Comput. Math. 49, No. 6, Paper No. 78, 28 p. (2023; Zbl 07773317) Full Text: DOI
Dong, Yijun; Martinsson, Per-Gunnar Simpler is better: a comparative study of randomized pivoting algorithms for CUR and interpolative decompositions. (English) Zbl 07741460 Adv. Comput. Math. 49, No. 4, Paper No. 66, 29 p. (2023). MSC: 65F55 PDFBibTeX XMLCite \textit{Y. Dong} and \textit{P.-G. Martinsson}, Adv. Comput. Math. 49, No. 4, Paper No. 66, 29 p. (2023; Zbl 07741460) Full Text: DOI
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
Alla, Alessandro; Kalise, Dante; Simoncini, Valeria State-dependent Riccati equation feedback stabilization for nonlinear PDEs. (English) Zbl 1516.93203 Adv. Comput. Math. 49, No. 1, Paper No. 9, 32 p. (2023). Reviewer: Gen Qi Xu (Tianjin) MSC: 93D15 93C20 93C10 65L80 93B36 PDFBibTeX XMLCite \textit{A. Alla} et al., Adv. Comput. Math. 49, No. 1, Paper No. 9, 32 p. (2023; Zbl 1516.93203) Full Text: DOI arXiv
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
Ma, Xijun; Shen, Chungen; Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction. (English) Zbl 1490.90213 Adv. Comput. Math. 48, No. 2, Paper No. 13, 34 p. (2022). MSC: 90C20 90C06 65F10 65F15 65F35 PDFBibTeX XMLCite \textit{X. Ma} et al., Adv. Comput. Math. 48, No. 2, Paper No. 13, 34 p. (2022; Zbl 1490.90213) Full Text: DOI
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
Beattie, Christopher; Gugercin, Serkan; Tomljanović, Zoran Sampling-free model reduction of systems with low-rank parameterization. (English) Zbl 1464.93010 Adv. Comput. Math. 46, No. 6, Paper No. 83, 34 p. (2020). MSC: 93B11 93C05 93C15 49J15 93D20 PDFBibTeX XMLCite \textit{C. Beattie} et al., Adv. Comput. Math. 46, No. 6, Paper No. 83, 34 p. (2020; Zbl 1464.93010) Full Text: DOI
Benner, Peter; Du, Xin; Yang, Guanghong; Ye, Dan Balanced truncation of linear time-invariant systems over finite-frequency ranges. (English) Zbl 1467.93049 Adv. Comput. Math. 46, No. 6, Paper No. 82, 34 p. (2020). MSC: 93B11 93C05 93C80 PDFBibTeX XMLCite \textit{P. Benner} et al., Adv. Comput. Math. 46, No. 6, Paper No. 82, 34 p. (2020; Zbl 1467.93049) Full Text: DOI arXiv
Kuehn, Christian; Kürschner, Patrick Combined error estimates for local fluctuations of SPDEs. (English) Zbl 07189697 Adv. Comput. Math. 46, No. 1, Paper No. 11, 25 p. (2020). MSC: 65C30 65M99 60H15 35R60 37M99 15A24 PDFBibTeX XMLCite \textit{C. Kuehn} and \textit{P. Kürschner}, Adv. Comput. Math. 46, No. 1, Paper No. 11, 25 p. (2020; Zbl 07189697) Full Text: DOI arXiv
Herzet, C.; Diallo, M. Performance guarantees for a variational “multi-space” decoder. (English) Zbl 07189696 Adv. Comput. Math. 46, No. 1, Paper No. 10, 22 p. (2020). MSC: 65-XX 41A99 PDFBibTeX XMLCite \textit{C. Herzet} and \textit{M. Diallo}, Adv. Comput. Math. 46, No. 1, Paper No. 10, 22 p. (2020; Zbl 07189696) Full Text: DOI Link
Gosea, Ion Victor; Zhang, Qiang; Antoulas, Athanasios C. Preserving the DAE structure in the Loewner model reduction and identification framework. (English) Zbl 1437.65086 Adv. Comput. Math. 46, No. 1, Paper No. 3, 32 p. (2020). MSC: 65L80 65P10 15A22 15A21 37N35 PDFBibTeX XMLCite \textit{I. V. Gosea} et al., Adv. Comput. Math. 46, No. 1, Paper No. 3, 32 p. (2020; Zbl 1437.65086) Full Text: DOI
Schmidt, Andreas; Wittwar, Dominik; Haasdonk, Bernard Rigorous and effective a-posteriori error bounds for nonlinear problems – application to RB methods. (English) Zbl 07188452 Adv. Comput. Math. 46, No. 2, Paper No. 32, 30 p. (2020). MSC: 65J15 65L70 PDFBibTeX XMLCite \textit{A. Schmidt} et al., Adv. Comput. Math. 46, No. 2, Paper No. 32, 30 p. (2020; Zbl 07188452) Full Text: DOI
Benner, Peter; Himpe, Christian Cross-Gramian-based dominant subspaces. (English) Zbl 1440.93043 Adv. Comput. Math. 45, No. 5-6, 2533-2553 (2019). MSC: 93B11 93B05 93B07 93C05 PDFBibTeX XMLCite \textit{P. Benner} and \textit{C. Himpe}, Adv. Comput. Math. 45, No. 5--6, 2533--2553 (2019; Zbl 1440.93043) Full Text: DOI arXiv
Dal Santo, Niccolò; Manzoni, Andrea Hyper-reduced order models for parametrized unsteady Navier-Stokes equations on domains with variable shape. (English) Zbl 1435.65155 Adv. Comput. Math. 45, No. 5-6, 2463-2501 (2019). MSC: 65M60 65M06 65N30 65M15 65N50 35B32 76M10 76A05 76Z05 92C35 35Q30 35Q92 PDFBibTeX XMLCite \textit{N. Dal Santo} and \textit{A. Manzoni}, Adv. Comput. Math. 45, No. 5--6, 2463--2501 (2019; Zbl 1435.65155) Full Text: DOI
Taddei, Tommaso An offline/online procedure for dual norm calculations of parameterized functionals: empirical quadrature and empirical test spaces. (English) Zbl 1435.65210 Adv. Comput. Math. 45, No. 5-6, 2429-2462 (2019). MSC: 65N30 90C05 90C11 76D05 PDFBibTeX XMLCite \textit{T. Taddei}, Adv. Comput. Math. 45, No. 5--6, 2429--2462 (2019; Zbl 1435.65210) Full Text: DOI arXiv
Alla, Alessandro; Kutz, J. Nathan Randomized model order reduction. (English) Zbl 1418.65193 Adv. Comput. Math. 45, No. 3, 1251-1271 (2019). MSC: 65P99 37M05 65F30 15B52 PDFBibTeX XMLCite \textit{A. Alla} and \textit{J. N. Kutz}, Adv. Comput. Math. 45, No. 3, 1251--1271 (2019; Zbl 1418.65193) Full Text: DOI arXiv Link
Rydel, Marek New integer-order approximations of discrete-time non-commensurate fractional-order systems using the cross Gramian. (English) Zbl 1415.78013 Adv. Comput. Math. 45, No. 2, 631-653 (2019). MSC: 78M34 35R11 35Q60 PDFBibTeX XMLCite \textit{M. Rydel}, Adv. Comput. Math. 45, No. 2, 631--653 (2019; Zbl 1415.78013) Full Text: DOI
Gräßle, Carmen; Hinze, Michael POD reduced-order modeling for evolution equations utilizing arbitrary finite element discretizations. (English) Zbl 1404.65264 Adv. Comput. Math. 44, No. 6, 1941-1978 (2018). MSC: 65N30 35K90 65K05 35K05 35K55 PDFBibTeX XMLCite \textit{C. Gräßle} and \textit{M. Hinze}, Adv. Comput. Math. 44, No. 6, 1941--1978 (2018; Zbl 1404.65264) Full Text: DOI arXiv
Carracedo Rodriguez, Andrea; Gugercin, Serkan; Borggaard, Jeff Interpolatory model reduction of parameterized bilinear dynamical systems. (English) Zbl 1406.93069 Adv. Comput. Math. 44, No. 6, 1887-1916 (2018). MSC: 93B11 93C10 93C05 41A05 93C15 PDFBibTeX XMLCite \textit{A. Carracedo Rodriguez} et al., Adv. Comput. Math. 44, No. 6, 1887--1916 (2018; Zbl 1406.93069) Full Text: DOI arXiv
Kürschner, Patrick Balanced truncation model order reduction in limited time intervals for large systems. (English) Zbl 1453.65093 Adv. Comput. Math. 44, No. 6, 1821-1844 (2018). MSC: 65F60 15A16 15A24 93B11 PDFBibTeX XMLCite \textit{P. Kürschner}, Adv. Comput. Math. 44, No. 6, 1821--1844 (2018; Zbl 1453.65093) Full Text: DOI arXiv
Tomljanović, Zoran; Beattie, Christopher; Gugercin, Serkan Damping optimization of parameter dependent mechanical systems by rational interpolation. (English) Zbl 1416.90038 Adv. Comput. Math. 44, No. 6, 1797-1820 (2018). MSC: 90C26 74P10 70Q05 41A05 PDFBibTeX XMLCite \textit{Z. Tomljanović} et al., Adv. Comput. Math. 44, No. 6, 1797--1820 (2018; Zbl 1416.90038) Full Text: DOI arXiv
Karasözen, Bülent; Uzunca, Murat Energy preserving model order reduction of the nonlinear Schrödinger equation. (English) Zbl 1404.65310 Adv. Comput. Math. 44, No. 6, 1769-1796 (2018). MSC: 65P10 65M60 35Q55 37M15 93A15 PDFBibTeX XMLCite \textit{B. Karasözen} and \textit{M. Uzunca}, Adv. Comput. Math. 44, No. 6, 1769--1796 (2018; Zbl 1404.65310) Full Text: DOI arXiv
Li, Huamin; Kluger, Yuval; Tygert, Mark Randomized algorithms for distributed computation of principal component analysis and singular value decomposition. (English) Zbl 1404.65023 Adv. Comput. Math. 44, No. 5, 1651-1672 (2018). MSC: 65F15 68W20 65F25 65F30 PDFBibTeX XMLCite \textit{H. Li} et al., Adv. Comput. Math. 44, No. 5, 1651--1672 (2018; Zbl 1404.65023) Full Text: DOI arXiv Link
O’Neil, Michael Second-kind integral equations for the Laplace-Beltrami problem on surfaces in three dimensions. (English) Zbl 1404.35121 Adv. Comput. Math. 44, No. 5, 1385-1409 (2018). MSC: 35J05 58J05 31C12 PDFBibTeX XMLCite \textit{M. O'Neil}, Adv. Comput. Math. 44, No. 5, 1385--1409 (2018; Zbl 1404.35121) Full Text: DOI arXiv
Voronin, Sergey; Martinsson, Per-Gunnar Efficient algorithms for CUR and interpolative matrix decompositions. (English) Zbl 1369.65049 Adv. Comput. Math. 43, No. 3, 495-516 (2017). MSC: 65F05 65F20 PDFBibTeX XMLCite \textit{S. Voronin} and \textit{P.-G. Martinsson}, Adv. Comput. Math. 43, No. 3, 495--516 (2017; Zbl 1369.65049) Full Text: DOI arXiv
Kordy, Michal; Cherkaev, Elena; Wannamaker, Philip Null space correction and adaptive model order reduction in multi-frequency Maxwell’s problem. (English) Zbl 1372.35296 Adv. Comput. Math. 43, No. 1, 171-193 (2017). MSC: 35Q61 41A20 41A05 86-08 65N30 78M34 78M10 65N21 PDFBibTeX XMLCite \textit{M. Kordy} et al., Adv. Comput. Math. 43, No. 1, 171--193 (2017; Zbl 1372.35296) Full Text: DOI
Son, Nguyen Thanh; Stykel, Tatjana Model order reduction of parameterized circuit equations based on interpolation. (English) Zbl 1336.93037 Adv. Comput. Math. 41, No. 5, 1321-1342 (2015). MSC: 93B11 65D05 65L80 93C05 65F30 PDFBibTeX XMLCite \textit{N. T. Son} and \textit{T. Stykel}, Adv. Comput. Math. 41, No. 5, 1321--1342 (2015; Zbl 1336.93037) Full Text: DOI Link
San, Omer; Iliescu, Traian A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation. (English) Zbl 1327.37028 Adv. Comput. Math. 41, No. 5, 1289-1319 (2015). MSC: 37N10 76M25 76F20 76D99 PDFBibTeX XMLCite \textit{O. San} and \textit{T. Iliescu}, Adv. Comput. Math. 41, No. 5, 1289--1319 (2015; Zbl 1327.37028) Full Text: DOI arXiv
Amsallem, David; Zahr, Matthew J.; Washabaugh, Kyle Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction. (English) Zbl 1331.65094 Adv. Comput. Math. 41, No. 5, 1187-1230 (2015). MSC: 65L05 34A34 35Q53 35Q35 65M99 78M34 PDFBibTeX XMLCite \textit{D. Amsallem} et al., Adv. Comput. Math. 41, No. 5, 1187--1230 (2015; Zbl 1331.65094) Full Text: DOI
Gerbeau, Jean-Frédéric; Lombardi, Damiano; Schenone, Elisa Reduced order model in cardiac electrophysiology with approximated Lax pairs. (English) Zbl 1336.65164 Adv. Comput. Math. 41, No. 5, 1103-1130 (2015). MSC: 65M60 35Q92 92-08 35K57 92C55 PDFBibTeX XMLCite \textit{J.-F. Gerbeau} et al., Adv. Comput. Math. 41, No. 5, 1103--1130 (2015; Zbl 1336.65164) Full Text: DOI HAL
Alla, Alessandro; Volkwein, Stefan Asymptotic stability of POD based model predictive control for a semilinear parabolic PDE. (English) Zbl 1329.93072 Adv. Comput. Math. 41, No. 5, 1073-1102 (2015). MSC: 93B52 93D20 90C30 49L20 65K10 PDFBibTeX XMLCite \textit{A. Alla} and \textit{S. Volkwein}, Adv. Comput. Math. 41, No. 5, 1073--1102 (2015; Zbl 1329.93072) Full Text: DOI arXiv
Fischer, Michael; Eberhard, Peter Application of parametric model reduction with matrix interpolation for simulation of moving loads in elastic multibody systems. (English) Zbl 1386.70015 Adv. Comput. Math. 41, No. 5, 1049-1072 (2015). MSC: 70E55 65L05 65L50 PDFBibTeX XMLCite \textit{M. Fischer} and \textit{P. Eberhard}, Adv. Comput. Math. 41, No. 5, 1049--1072 (2015; Zbl 1386.70015) Full Text: DOI
Redeker, Magnus; Haasdonk, Bernard A POD-EIM reduced two-scale model for crystal growth. (English) Zbl 1336.82015 Adv. Comput. Math. 41, No. 5, 987-1013 (2015). MSC: 82C80 65M06 65M50 80A22 82D25 80M20 PDFBibTeX XMLCite \textit{M. Redeker} and \textit{B. Haasdonk}, Adv. Comput. Math. 41, No. 5, 987--1013 (2015; Zbl 1336.82015) Full Text: DOI
Sherratt, Jonathan A. Numerical continuation of boundaries in parameter space between stable and unstable periodic travelling wave (wavetrain) solutions of partial differential equations. (English) Zbl 1271.65132 Adv. Comput. Math. 39, No. 1, 175-192 (2013). MSC: 65M99 35G61 35B35 35Q92 35K57 PDFBibTeX XMLCite \textit{J. A. Sherratt}, Adv. Comput. Math. 39, No. 1, 175--192 (2013; Zbl 1271.65132) Full Text: DOI
Benner, Peter; Faßbender, Heike On the numerical solution of large-scale sparse discrete-time Riccati equations. (English) Zbl 1230.65070 Adv. Comput. Math. 35, No. 2-4, 119-147 (2011). MSC: 65K10 49J20 49M15 49N10 65F30 15A24 PDFBibTeX XMLCite \textit{P. Benner} and \textit{H. Faßbender}, Adv. Comput. Math. 35, No. 2--4, 119--147 (2011; Zbl 1230.65070) Full Text: DOI
Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten Adaptive frame methods for elliptic operator equations. (English) Zbl 1122.65103 Adv. Comput. Math. 27, No. 1, 27-63 (2007). Reviewer: Dietrich Braess (Bochum) MSC: 65N22 65N55 65F10 65F50 65N12 65T60 35J55 PDFBibTeX XMLCite \textit{S. Dahlke} et al., Adv. Comput. Math. 27, No. 1, 27--63 (2007; Zbl 1122.65103) Full Text: DOI
Janik, Tadeusz J. Parallel implementation of the \(p\)-version of the finite element method for elliptic equations on a shared-memory architecture. (English) Zbl 0893.65057 Adv. Comput. Math. 8, No. 1-2, 97-110 (1998). Reviewer: W.Schönauer (Karlsruhe) MSC: 65N30 65Y05 65N55 35J25 PDFBibTeX XMLCite \textit{T. J. Janik}, Adv. Comput. Math. 8, No. 1--2, 97--110 (1998; Zbl 0893.65057) Full Text: DOI
Corless, R. M.; Gonnet, G. H.; Hare, D. E. G.; Jeffrey, D. J.; Knuth, D. E. On the Lambert \(w\) function. (English) Zbl 0863.65008 Adv. Comput. Math. 5, No. 4, 329-359 (1996). Reviewer: R.S.Dahiya (Ames) MSC: 65E05 30E10 65D20 PDFBibTeX XMLCite \textit{R. M. Corless} et al., Adv. Comput. Math. 5, No. 4, 329--359 (1996; Zbl 0863.65008) Full Text: DOI