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
Grundel, Sara; Herty, Michael Model-order reduction for hyperbolic relaxation systems. (English) Zbl 07773929 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2763-2780 (2023). MSC: 35-XX 34-XX PDFBibTeX XMLCite \textit{S. Grundel} and \textit{M. Herty}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 7, 2763--2780 (2023; Zbl 07773929) Full Text: DOI arXiv
Landstorfer, M.; Ohlberger, M.; Rave, S.; Tacke, M. A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells. (English) Zbl 1515.78032 Eur. J. Appl. Math. 34, No. 3, 554-591 (2023). MSC: 78A57 49M37 35Q92 34B15 65K05 PDFBibTeX XMLCite \textit{M. Landstorfer} et al., Eur. J. Appl. Math. 34, No. 3, 554--591 (2023; Zbl 1515.78032) Full Text: DOI arXiv
Garmatter, Dominik; Porcelli, Margherita; Rinaldi, Francesco; Stoll, Martin An improved penalty algorithm using model order reduction for MIPDECO problems with partial observations. (English) Zbl 1510.90190 Comput. Optim. Appl. 84, No. 1, 191-223 (2023). MSC: 90C11 90C51 34C20 90C06 93C20 PDFBibTeX XMLCite \textit{D. Garmatter} et al., Comput. Optim. Appl. 84, No. 1, 191--223 (2023; Zbl 1510.90190) Full Text: DOI arXiv
Banagaaya, Nicodemus; Alì, Giuseppe; Grundel, Sara; Benner, Peter Index-aware model-order reduction for a special class of nonlinear differential-algebraic equations. (English) Zbl 1519.93041 J. Dyn. Differ. Equations 34, No. 3, 2465-2489 (2022). MSC: 93B11 93C10 93C15 34A09 34A34 76N15 PDFBibTeX XMLCite \textit{N. Banagaaya} et al., J. Dyn. Differ. Equations 34, No. 3, 2465--2489 (2022; Zbl 1519.93041) Full Text: DOI arXiv
Li, Hang; Ekici, Kivanc Supplemental-frequency harmonic balance: a new approach for modeling aperiodic aerodynamic response. (English) Zbl 07513842 J. Comput. Phys. 436, Article ID 110278, 18 p. (2021). MSC: 76-XX 76Mxx 34Cxx PDFBibTeX XMLCite \textit{H. Li} and \textit{K. Ekici}, J. Comput. Phys. 436, Article ID 110278, 18 p. (2021; Zbl 07513842) Full Text: DOI
Subaşı, Murat; Şendur, Faika Derya; Yaşar, Cavide An inverse source identification by nonlinear optimization in a two-dimensional hyperbolic problem. (English) Zbl 07480126 Inverse Probl. Sci. Eng. 29, No. 12, 2110-2130 (2021). MSC: 34M50 35L50 65M60 65K10 PDFBibTeX XMLCite \textit{M. Subaşı} et al., Inverse Probl. Sci. Eng. 29, No. 12, 2110--2130 (2021; Zbl 07480126) Full Text: DOI
Pulch, Roland Frequency domain integrals for stability preservation in Galerkin-type projection-based model order reduction. (English) Zbl 1480.93061 Int. J. Control 94, No. 7, 1734-1750 (2021). MSC: 93B11 93D20 93C80 93C15 34A09 PDFBibTeX XMLCite \textit{R. Pulch}, Int. J. Control 94, No. 7, 1734--1750 (2021; Zbl 1480.93061) Full Text: DOI arXiv
Ambuehl, Antonietta; Whiteley, Jonathan P. Model reduction for initial value ODEs. (English) Zbl 1475.92079 Math. Biosci. 337, Article ID 108618, 11 p. (2021). MSC: 92C45 92C30 34C60 93B11 PDFBibTeX XMLCite \textit{A. Ambuehl} and \textit{J. P. Whiteley}, Math. Biosci. 337, Article ID 108618, 11 p. (2021; Zbl 1475.92079) Full Text: DOI
Discacciati, Niccolò; Hesthaven, Jan S. Modeling synchronization in globally coupled oscillatory systems using model order reduction. (English) Zbl 1462.34079 Chaos 31, No. 5, 053127, 21 p. (2021). MSC: 34D06 34C15 34C20 34C60 PDFBibTeX XMLCite \textit{N. Discacciati} and \textit{J. S. Hesthaven}, Chaos 31, No. 5, 053127, 21 p. (2021; Zbl 1462.34079) Full Text: DOI
Nouri, Behzad; Gad, Emad; Nakhla, Michel; Achar, Ram Model order reduction in microelectronics. (English) Zbl 1466.78016 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 111-143 (2021). MSC: 78A55 62P30 93A15 78M34 37M05 34K20 34H15 94C05 PDFBibTeX XMLCite \textit{B. Nouri} et al., in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 111--143 (2021; Zbl 1466.78016) Full Text: DOI
Egger, H.; Schmidt, K.; Shashkov, V. Multistep and Runge-Kutta convolution quadrature methods for coupled dynamical systems. (English) Zbl 1458.65082 J. Comput. Appl. Math. 387, Article ID 112618, 15 p. (2021). MSC: 65L06 34A09 PDFBibTeX XMLCite \textit{H. Egger} et al., J. Comput. Appl. Math. 387, Article ID 112618, 15 p. (2021; Zbl 1458.65082) Full Text: DOI arXiv
Bannenberg, M. W. F. M.; Ciccazzo, A.; Günther, M. Coupling of model order reduction and multirate techniques for coupled dynamical systems. (English) Zbl 1462.34066 Appl. Math. Lett. 112, Article ID 106780, 8 p. (2021). MSC: 34C20 34A09 65L80 65L04 PDFBibTeX XMLCite \textit{M. W. F. M. Bannenberg} et al., Appl. Math. Lett. 112, Article ID 106780, 8 p. (2021; Zbl 1462.34066) Full Text: DOI
Gimeno, Joan; Jorba, Àngel Using automatic differentiation to compute periodic orbits of delay differential equations. (English) Zbl 1469.65113 Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4853-4867 (2020). MSC: 65L03 34K13 65F10 PDFBibTeX XMLCite \textit{J. Gimeno} and \textit{À. Jorba}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 12, 4853--4867 (2020; Zbl 1469.65113) Full Text: DOI
Antoulas, Athanasios C.; Gosea, Ion Victor; Heinkenschloss, Matthias Data-driven model reduction for a class of semi-explicit DAEs using the Loewner framework. (English) Zbl 1453.65199 Reis, Timo (ed.) et al., Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17–20, 2019. Cham: Springer. Differ.-Algebr. Equ. Forum, 185-210 (2020). MSC: 65L80 34A09 PDFBibTeX XMLCite \textit{A. C. Antoulas} et al., in: Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17--20, 2019. Cham: Springer. 185--210 (2020; Zbl 1453.65199) Full Text: DOI
Munsberg, L.; Javaloyes, J.; Gurevich, S. V. Topological localized states in the time delayed Adler model: bifurcation analysis and interaction law. (English) Zbl 1440.34074 Chaos 30, No. 6, 063137, 13 p. (2020). MSC: 34K18 34K60 78A60 PDFBibTeX XMLCite \textit{L. Munsberg} et al., Chaos 30, No. 6, 063137, 13 p. (2020; Zbl 1440.34074) Full Text: DOI arXiv
Sukuntee, Norapon; Chaturantabut, Saifon Model order reduction for sine-Gordon equation using POD and DEIM. (English) Zbl 1463.65212 Thai J. Math., Spec. Iss.: Annual Meeting in Mathematics 2018, 222-256 (2019). MSC: 65L99 34A45 PDFBibTeX XMLCite \textit{N. Sukuntee} and \textit{S. Chaturantabut}, Thai J. Math., 222--256 (2019; Zbl 1463.65212) Full Text: Link
Dasgupta, Agnimitra; Ghosh, Debraj Failure probability estimation of linear time varying systems by progressive refinement of reduced order models. (English) Zbl 1454.60104 SIAM/ASA J. Uncertain. Quantif. 7, 1007-1028 (2019). MSC: 60H35 34F05 93E03 PDFBibTeX XMLCite \textit{A. Dasgupta} and \textit{D. Ghosh}, SIAM/ASA J. Uncertain. Quantif. 7, 1007--1028 (2019; Zbl 1454.60104) Full Text: DOI
Pulch, Roland Stability preservation in Galerkin-type projection-based model order reduction. (English) Zbl 1422.65106 Numer. Algebra Control Optim. 9, No. 1, 23-44 (2019). MSC: 65L05 65F10 34C20 34D20 93D20 PDFBibTeX XMLCite \textit{R. Pulch}, Numer. Algebra Control Optim. 9, No. 1, 23--44 (2019; Zbl 1422.65106) Full Text: DOI arXiv
Cheng, Yu; Gómez, Gerard; Masdemont, Josep J.; Yuan, Jianping Analysis of the relative dynamics of a charged spacecraft moving under the influence of a magnetic field. (English) Zbl 1473.70060 Commun. Nonlinear Sci. Numer. Simul. 62, 307-338 (2018). MSC: 70M20 34C25 PDFBibTeX XMLCite \textit{Y. Cheng} et al., Commun. Nonlinear Sci. Numer. Simul. 62, 307--338 (2018; Zbl 1473.70060) Full Text: DOI Link
Fehr, Jörg; Grunert, Dennis; Holzwarth, Philip; Fröhlich, Benjamin; Walker, Nadine; Eberhard, Peter Morembs – a model order reduction package for elastic multibody systems and beyond. (English) Zbl 1433.74004 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 141-166 (2018). MSC: 74-04 65L60 65-04 74S99 34C20 74B20 65F15 65D05 41A05 49K15 PDFBibTeX XMLCite \textit{J. Fehr} et al., in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 141--166 (2018; Zbl 1433.74004) Full Text: DOI
Benner, Peter; Braukmüller, Maike; Grundel, Sara A direct index 1 DAE model of gas networks. (English) Zbl 1416.78021 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 99-119 (2018). MSC: 78M10 65N30 65L80 35Q31 76N15 35R02 05C20 34C20 PDFBibTeX XMLCite \textit{P. Benner} et al., in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 99--119 (2018; Zbl 1416.78021) Full Text: DOI
Benner, Peter; Goyal, Pawan An iterative model reduction scheme for quadratic-bilinear descriptor systems with an application to Navier-Stokes equations. (English) Zbl 1416.76095 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 1-19 (2018). MSC: 76M10 65N30 65M06 65L60 65L80 34C20 35Q30 76D05 65F15 65D05 PDFBibTeX XMLCite \textit{P. Benner} and \textit{P. Goyal}, in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 1--19 (2018; Zbl 1416.76095) Full Text: DOI arXiv
Laliena, Victor; Campo, Javier An improved discretization of Schrödinger-like radial equations. (English) Zbl 1397.81063 J. Phys. A, Math. Theor. 51, No. 32, Article ID 325203, 14 p. (2018). MSC: 81Q05 81Q10 81R05 34L40 65L12 39A12 PDFBibTeX XMLCite \textit{V. Laliena} and \textit{J. Campo}, J. Phys. A, Math. Theor. 51, No. 32, Article ID 325203, 14 p. (2018; Zbl 1397.81063) Full Text: DOI arXiv
Schmidt, Andreas; Haasdonk, Bernard Reduced basis approximation of large scale parametric algebraic Riccati equations. (English) Zbl 1396.49030 ESAIM, Control Optim. Calc. Var. 24, No. 1, 129-151 (2018). MSC: 49M30 49N05 93B36 34K35 93B52 65G99 PDFBibTeX XMLCite \textit{A. Schmidt} and \textit{B. Haasdonk}, ESAIM, Control Optim. Calc. Var. 24, No. 1, 129--151 (2018; Zbl 1396.49030) Full Text: DOI
Afkham, Babak Maboudi; Hesthaven, Jan S. Structure preserving model reduction of parametric Hamiltonian systems. (English) Zbl 1379.78019 SIAM J. Sci. Comput. 39, No. 6, A2616-A2644 (2017). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M34 34C20 35B30 37K05 65P10 37J25 78A40 PDFBibTeX XMLCite \textit{B. M. Afkham} and \textit{J. S. Hesthaven}, SIAM J. Sci. Comput. 39, No. 6, A2616--A2644 (2017; Zbl 1379.78019) Full Text: DOI arXiv
Gaudreau, Philippe; Safouhi, Hassan Double exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function. (English) Zbl 1373.81209 J. Math. Phys. 58, No. 10, 101509, 14 p. (2017). MSC: 81Q10 34L40 39A12 34L16 PDFBibTeX XMLCite \textit{P. Gaudreau} and \textit{H. Safouhi}, J. Math. Phys. 58, No. 10, 101509, 14 p. (2017; Zbl 1373.81209) Full Text: DOI
Embree, Mark; Keeler, Blake Pseudospectra of matrix pencils for transient analysis of differential-algebraic equations. (English) Zbl 1379.65058 SIAM J. Matrix Anal. Appl. 38, No. 3, 1028-1054 (2017). MSC: 65L80 65L20 34A09 15A22 65F15 PDFBibTeX XMLCite \textit{M. Embree} and \textit{B. Keeler}, SIAM J. Matrix Anal. Appl. 38, No. 3, 1028--1054 (2017; Zbl 1379.65058) Full Text: DOI arXiv
Miao, Cun-Qiang A filtered-Davidson method for large symmetric eigenvalue problems. (English) Zbl 1373.15018 East Asian J. Appl. Math. 7, No. 1, 21-37 (2017). MSC: 15A18 65F15 65F50 34L15 65N25 PDFBibTeX XMLCite \textit{C.-Q. Miao}, East Asian J. Appl. Math. 7, No. 1, 21--37 (2017; Zbl 1373.15018) Full Text: DOI
Guglielmi, Nicola; Lubich, Christian; Mehrmann, Volker On the nearest singular matrix pencil. (English) Zbl 1371.15015 SIAM J. Matrix Anal. Appl. 38, No. 3, 776-806 (2017). MSC: 15A22 34A30 34A09 65F30 PDFBibTeX XMLCite \textit{N. Guglielmi} et al., SIAM J. Matrix Anal. Appl. 38, No. 3, 776--806 (2017; Zbl 1371.15015) Full Text: DOI
Ahmad, Mian Ilyas; Benner, Peter; Goyal, Pawan Krylov subspace-based model reduction for a class of bilinear descriptor systems. (English) Zbl 1402.65083 J. Comput. Appl. Math. 315, 303-318 (2017). MSC: 65L80 34A09 93B11 93C05 PDFBibTeX XMLCite \textit{M. I. Ahmad} et al., J. Comput. Appl. Math. 315, 303--318 (2017; Zbl 1402.65083) Full Text: DOI Link
Zlatev, Zahari; Dimov, Ivan; Faragó, István; Georgiev, Krassimir; Havasi, Ágnes Stability of the Richardson extrapolation combined with some implicit Runge-Kutta methods. (English) Zbl 1348.65114 J. Comput. Appl. Math. 310, 224-240 (2017). MSC: 65L20 65L05 65L06 34A34 86A10 65L04 PDFBibTeX XMLCite \textit{Z. Zlatev} et al., J. Comput. Appl. Math. 310, 224--240 (2017; Zbl 1348.65114) Full Text: DOI
Chen, Weitao; Chou, Ching-Shan; Kao, Chiu-Yen Minimizing eigenvalues for inhomogeneous rods and plates. (English) Zbl 1397.74197 J. Sci. Comput. 69, No. 3, 983-1013 (2016). MSC: 74S30 74P10 74K10 74K20 65N25 34L15 65N06 PDFBibTeX XMLCite \textit{W. Chen} et al., J. Sci. Comput. 69, No. 3, 983--1013 (2016; Zbl 1397.74197) Full Text: DOI
Gaudreau, P.; Slevinsky, R.; Safouhi, H. The double exponential sinc collocation method for singular Sturm-Liouville problems. (English) Zbl 1416.65231 J. Math. Phys. 57, No. 4, 043505, 19 p. (2016). MSC: 65L60 65L15 34B24 34L15 PDFBibTeX XMLCite \textit{P. Gaudreau} et al., J. Math. Phys. 57, No. 4, 043505, 19 p. (2016; Zbl 1416.65231) Full Text: DOI arXiv
Heiland, Jan A differential-algebraic Riccati equation for applications in flow control. (English) Zbl 1335.49006 SIAM J. Control Optim. 54, No. 2, 718-739 (2016). MSC: 49J15 49J21 49M30 34H05 PDFBibTeX XMLCite \textit{J. Heiland}, SIAM J. Control Optim. 54, No. 2, 718--739 (2016; Zbl 1335.49006) Full Text: DOI Link
Gaudreau, Philippe J.; Slevinsky, Richard M.; Safouhi, Hassan Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method. (English) Zbl 1360.65197 Ann. Phys. 360, 520-538 (2015). MSC: 65L10 65L20 34C15 PDFBibTeX XMLCite \textit{P. J. Gaudreau} et al., Ann. Phys. 360, 520--538 (2015; Zbl 1360.65197) Full Text: DOI arXiv
Carini, M.; Auteri, F.; Giannetti, F. Centre-manifold reduction of bifurcating flows. (English) Zbl 1335.76028 J. Fluid Mech. 767, 109-145 (2015). MSC: 76E30 37N10 37J40 34E05 PDFBibTeX XMLCite \textit{M. Carini} et al., J. Fluid Mech. 767, 109--145 (2015; Zbl 1335.76028) Full Text: DOI Link
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
Benner, Peter; Redmann, Martin Model reduction for stochastic systems. (English) Zbl 1331.65017 Stoch. Partial Differ. Equ., Anal. Comput. 3, No. 3, 291-338 (2015). MSC: 65C30 60J75 60H15 60H10 34K28 93E25 PDFBibTeX XMLCite \textit{P. Benner} and \textit{M. Redmann}, Stoch. Partial Differ. Equ., Anal. Comput. 3, No. 3, 291--338 (2015; Zbl 1331.65017) Full Text: DOI
Grundel, Sara; Jansen, Lennart; Hornung, Nils; Clees, Tanja; Tischendorf, Caren; Benner, Peter Model order reduction of differential algebraic equations arising from the simulation of gas transport networks. (English) Zbl 1319.65077 Schöps, Sebastian (ed.) et al., Progress in differential-algebraic equations. Deskriptor 2013. Proceedings of the 8th workshop on coupled descriptor systems, Geseke, Germany, March 4–7, 2013. Berlin: Springer (ISBN 978-3-662-44925-7/hbk; 978-3-662-44926-4/ebook). Differential-Algebraic Equations Forum, 183-205 (2014). MSC: 65L80 34A09 90B10 90B06 PDFBibTeX XMLCite \textit{S. Grundel} et al., in: Progress in differential-algebraic equations. Deskriptor 2013. Proceedings of the 8th workshop on coupled descriptor systems, Geseke, Germany, March 4--7, 2013. Berlin: Springer. 183--205 (2014; Zbl 1319.65077) Full Text: DOI
Nechepurenko, Yu. M. Hermitian spectral pseudoinversion and its applications. (English. Russian original) Zbl 1316.15005 Math. Notes 96, No. 1, 110-121 (2014); translation from Mat. Zametki 96, No. 1, 101-115 (2014). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15A09 15A22 93B05 93B07 34A09 PDFBibTeX XMLCite \textit{Yu. M. Nechepurenko}, Math. Notes 96, No. 1, 110--121 (2014; Zbl 1316.15005); translation from Mat. Zametki 96, No. 1, 101--115 (2014) Full Text: DOI
Welshman, Chris; Brooke, John Martin Dimensionality reduction of dynamical systems with parameters: a geometric approach. (English) Zbl 1348.37034 SIAM J. Appl. Dyn. Syst. 13, No. 1, 493-517 (2014). MSC: 37C10 37C70 34D45 34C20 PDFBibTeX XMLCite \textit{C. Welshman} and \textit{J. M. Brooke}, SIAM J. Appl. Dyn. Syst. 13, No. 1, 493--517 (2014; Zbl 1348.37034) Full Text: DOI
Benner, Peter; Tomljanović, Zoran; Truhar, Ninoslav Optimal damping of selected eigenfrequencies using dimension reduction. (English) Zbl 1289.70028 Numer. Linear Algebra Appl. 20, No. 1, 1-17 (2013). Reviewer: Krešimir Veseli (Hagen) MSC: 70J10 34C15 34C46 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Linear Algebra Appl. 20, No. 1, 1--17 (2013; Zbl 1289.70028) Full Text: DOI
Golbabai, A.; Rabiei, H. Hybrid shape parameter strategy for the RBF approximation of vibrating systems. (English) Zbl 1255.34088 Int. J. Comput. Math. 89, No. 17, 2410-2427 (2012). MSC: 34L16 70J50 35P15 PDFBibTeX XMLCite \textit{A. Golbabai} and \textit{H. Rabiei}, Int. J. Comput. Math. 89, No. 17, 2410--2427 (2012; Zbl 1255.34088) Full Text: DOI
Nechepurenko, Yu. M. On the dimension reduction of linear differential-algebraic control systems. (English. Russian original) Zbl 1264.93033 Dokl. Math. 86, No. 1, 457-459 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 1, 17-19 (2012). MSC: 93B11 34H05 PDFBibTeX XMLCite \textit{Yu. M. Nechepurenko}, Dokl. Math. 86, No. 1, 457--459 (2012; Zbl 1264.93033); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 1, 17--19 (2012) Full Text: DOI
Zlatev, Zahari; Faragó, István; Havasi, Ágnes Richardson extrapolation combined with the sequential splitting procedure and the \(\theta \)-method. (English) Zbl 1250.65097 Cent. Eur. J. Math. 10, No. 1, 159-172 (2012). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L05 65L20 34A34 65L06 PDFBibTeX XMLCite \textit{Z. Zlatev} et al., Cent. Eur. J. Math. 10, No. 1, 159--172 (2012; Zbl 1250.65097) Full Text: DOI
Li, Yung-Ta; Bai, Zhaojun; Lin, Wen-Wei; Su, Yangfeng A structured quasi-Arnoldi procedure for model order reduction of second-order systems. (English) Zbl 1237.93036 Linear Algebra Appl. 436, No. 8, 2780-2794 (2012). MSC: 93B11 93C15 34H05 PDFBibTeX XMLCite \textit{Y.-T. Li} et al., Linear Algebra Appl. 436, No. 8, 2780--2794 (2012; Zbl 1237.93036) Full Text: DOI
Li, Ren-Cang; Kahan, William A family of anadromic numerical methods for matrix Riccati differential equations. (English) Zbl 1236.65080 Math. Comput. 81, No. 277, 233-265 (2012). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{R.-C. Li} and \textit{W. Kahan}, Math. Comput. 81, No. 277, 233--265 (2012; Zbl 1236.65080) Full Text: DOI
Van Snyder, W.; Livesey, Nathaniel J. Data analysis for the NASA EOS aura microwave limb sounder instrument. (English) Zbl 1253.86002 GEM. Int. J. Geomath. 2, No. 2, 147-173 (2011); erratum ibid. 2, No. 2, 175 (2011). MSC: 86-08 86A10 34-04 65-04 68U99 PDFBibTeX XMLCite \textit{W. Van Snyder} and \textit{N. J. Livesey}, GEM. Int. J. Geomath. 2, No. 2, 147--173 (2011; Zbl 1253.86002) Full Text: DOI
Ebert, Falk A note on POD model reduction methods for DAEs. (English) Zbl 1200.65072 Math. Comput. Model. Dyn. Syst. 16, No. 2, 115-131 (2010). MSC: 65L80 34A09 65L70 PDFBibTeX XMLCite \textit{F. Ebert}, Math. Comput. Model. Dyn. Syst. 16, No. 2, 115--131 (2010; Zbl 1200.65072) Full Text: DOI Link
Zlatev, Zahari; Faragó, István; Havasi, Ágnes Stability of the Richardson extrapolation applied together with the \(\theta \)-method. (English) Zbl 1201.65134 J. Comput. Appl. Math. 235, No. 2, 507-517 (2010). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65L20 65L12 34A34 65L05 PDFBibTeX XMLCite \textit{Z. Zlatev} et al., J. Comput. Appl. Math. 235, No. 2, 507--517 (2010; Zbl 1201.65134) Full Text: DOI
Morris, Kirsten; Navasca, Carmeliza Approximation of low rank solutions for linear quadratic control of partial differential equations. (English) Zbl 1192.49030 Comput. Optim. Appl. 46, No. 1, 93-111 (2010). MSC: 49M15 70Q05 34H05 PDFBibTeX XMLCite \textit{K. Morris} and \textit{C. Navasca}, Comput. Optim. Appl. 46, No. 1, 93--111 (2010; Zbl 1192.49030) Full Text: DOI
Sánchez, Juan; Net, Marta On the multiple shooting continuation of periodic orbits by Newton-Krylov methods. (English) Zbl 1183.34056 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 1, 43-61 (2010). MSC: 34C25 65F08 65P99 PDFBibTeX XMLCite \textit{J. Sánchez} and \textit{M. Net}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 1, 43--61 (2010; Zbl 1183.34056) Full Text: DOI
Reis, Timo; Stykel, Tatjana Positive real and bounded real balancing for model reduction of descriptor systems. (English) Zbl 1184.93026 Int. J. Control 83, No. 1, 74-88 (2010). MSC: 93B11 93C15 93C05 34H05 PDFBibTeX XMLCite \textit{T. Reis} and \textit{T. Stykel}, Int. J. Control 83, No. 1, 74--88 (2010; Zbl 1184.93026) Full Text: DOI Link
Meerbergen, Karl; Coyette, Jean-Pierre Connection and comparison between frequency shift time integration and a spectral transformation preconditioner. (English) Zbl 1224.65076 Numer. Linear Algebra Appl. 16, No. 1, 1-17 (2009). Reviewer: Miloslav Vlasák (Praha) MSC: 65F08 65L05 34A30 76Q05 PDFBibTeX XMLCite \textit{K. Meerbergen} and \textit{J.-P. Coyette}, Numer. Linear Algebra Appl. 16, No. 1, 1--17 (2009; Zbl 1224.65076) Full Text: DOI
Ibáñez, J.; Hernández, V.; Arias, E.; Ruiz, P. A. Solving initial value problems for ordinary differential equations by two approaches: BDF and piecewise-linearized methods. (English) Zbl 1198.65142 Comput. Phys. Commun. 180, No. 5, 712-723 (2009). MSC: 65L99 34-04 PDFBibTeX XMLCite \textit{J. Ibáñez} et al., Comput. Phys. Commun. 180, No. 5, 712--723 (2009; Zbl 1198.65142) Full Text: DOI Link
Verhoeven, Arie; Maten, Jan Ter; Striebel, Michael; Mattheij, Robert Model order reduction for nonlinear IC models. (English) Zbl 1238.34099 Korytowski, Adam (ed.) et al., System modeling and optimization. 23rd IFIP TC 7 conference, Cracow, Poland, July 23–27, 2007. Revised Selected Papers. Berlin: Springer (ISBN 978-3-642-04801-2/hbk; 978-3-642-04802-9/ebook). IFIP Advances in Information and Communication Technology 312, 476-491 (2009). MSC: 34C60 94C05 34C20 PDFBibTeX XMLCite \textit{A. Verhoeven} et al., IFIP Adv. Inf. Commun. Technol. 312, 476--491 (2009; Zbl 1238.34099) Full Text: DOI
Ionescu, Tudor C.; Scherpen, Jacquelien M. A. Nonlinear cross Gramians. (English) Zbl 1189.93034 Korytowski, Adam (ed.) et al., System modeling and optimization. 23rd IFIP TC 7 conference, Cracow, Poland, July 23–27, 2007. Revised Selected Papers. Berlin: Springer (ISBN 978-3-642-04801-2/hbk; 978-3-642-04802-9/ebook). IFIP Advances in Information and Communication Technology 312, 293-306 (2009). MSC: 93B18 93C10 90C52 93C15 34H05 PDFBibTeX XMLCite \textit{T. C. Ionescu} and \textit{J. M. A. Scherpen}, IFIP Adv. Inf. Commun. Technol. 312, 293--306 (2009; Zbl 1189.93034) Full Text: DOI
Foss, Anna M.; Vickerman, Peter T.; Chalabi, Zaid; Mayaud, Philippe; Alary, Michel; Watts, Charlotte H. Dynamic modeling of herpes simplex virus type-2 (HSV-2) transmission: Issues in structural uncertainty. (English) Zbl 1163.92025 Bull. Math. Biol. 71, No. 3, 720-749 (2009). MSC: 92C60 34A99 62P10 62J05 PDFBibTeX XMLCite \textit{A. M. Foss} et al., Bull. Math. Biol. 71, No. 3, 720--749 (2009; Zbl 1163.92025) Full Text: DOI
Hechme, G.; Nechepurenko, Yu. M.; Sadkane, M. Model reduction for a class of linear descriptor systems. (English) Zbl 1172.65039 J. Comput. Appl. Math. 229, No. 1, 54-60 (2009). Reviewer: Neville Ford (Chester) MSC: 65L05 34A30 PDFBibTeX XMLCite \textit{G. Hechme} et al., J. Comput. Appl. Math. 229, No. 1, 54--60 (2009; Zbl 1172.65039) Full Text: DOI
McBain, G. D.; Chubb, T. H.; Armfield, S. W. Numerical solution of the Orr-Sommerfeld equation using the viscous Green function and split-Gaussian quadrature. (English) Zbl 1157.65433 J. Comput. Appl. Math. 224, No. 1, 397-404 (2009). MSC: 65L15 34L16 76E05 PDFBibTeX XMLCite \textit{G. D. McBain} et al., J. Comput. Appl. Math. 224, No. 1, 397--404 (2009; Zbl 1157.65433) Full Text: DOI
Driscoll, Tobin A.; Bornemann, Folkmar; Trefethen, Lloyd N. The chebop system for automatic solution of differential equations. (English) Zbl 1162.65370 BIT 48, No. 4, 701-723 (2008). MSC: 65L10 34B05 68W30 65L60 35L15 34L16 PDFBibTeX XMLCite \textit{T. A. Driscoll} et al., BIT 48, No. 4, 701--723 (2008; Zbl 1162.65370) Full Text: DOI
Martín-Vaquero, J.; Vigo-Aguiar, J. Exponential fitted Gauss, Radau and Lobatto methods of low order. (English) Zbl 1148.65059 Numer. Algorithms 48, No. 4, 327-346 (2008). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L06 65L60 65L20 34A34 65L05 PDFBibTeX XMLCite \textit{J. Martín-Vaquero} and \textit{J. Vigo-Aguiar}, Numer. Algorithms 48, No. 4, 327--346 (2008; Zbl 1148.65059) Full Text: DOI
Bindel, David; Zworski, Maciej Symmetry of bound and antibound states in the semiclassical limit. (English) Zbl 1161.81430 Lett. Math. Phys. 81, No. 2, 107-117 (2007). MSC: 81U20 34L15 65F18 65L15 35B34 PDFBibTeX XMLCite \textit{D. Bindel} and \textit{M. Zworski}, Lett. Math. Phys. 81, No. 2, 107--117 (2007; Zbl 1161.81430) Full Text: DOI arXiv
Girard, Antoine; Pappas, George J. Approximate bisimulation relations for constrained linear systems. (English) Zbl 1130.93365 Automatica 43, No. 8, 1307-1317 (2007). MSC: 93C05 93C15 93B07 34K35 PDFBibTeX XMLCite \textit{A. Girard} and \textit{G. J. Pappas}, Automatica 43, No. 8, 1307--1317 (2007; Zbl 1130.93365) Full Text: DOI Link
Vigo-Aguiar, J.; Martín-Vaquero, J. Exponential fitting BDF algorithms and their properties. (English) Zbl 1126.65060 Appl. Math. Comput. 190, No. 1, 80-110 (2007). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L05 65L06 34A34 65L20 65L70 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} and \textit{J. Martín-Vaquero}, Appl. Math. Comput. 190, No. 1, 80--110 (2007; Zbl 1126.65060) Full Text: DOI
Abdel-Aziz, Mohammedi R. Computing eigenpairs of quadratic eigensystems. (English) Zbl 1134.65342 Math. Comput. Modelling 44, No. 7-8, 692-700 (2006). MSC: 65F15 34A30 65L60 PDFBibTeX XMLCite \textit{M. R. Abdel-Aziz}, Math. Comput. Modelling 44, No. 7--8, 692--700 (2006; Zbl 1134.65342) Full Text: DOI
Hill, A. A.; Straughan, B. A Legendre spectral element method for eigenvalues in hydrodynamic stability. (English) Zbl 1092.65065 J. Comput. Appl. Math. 193, No. 1, 363-381 (2006). MSC: 65L15 34L16 76S05 76E20 PDFBibTeX XMLCite \textit{A. A. Hill} and \textit{B. Straughan}, J. Comput. Appl. Math. 193, No. 1, 363--381 (2006; Zbl 1092.65065) Full Text: DOI
Salimbahrami, Behnam; Lohmann, Boris Order reduction of large scale second-order systems using Krylov subspace methods. (English) Zbl 1103.93017 Linear Algebra Appl. 415, No. 2-3, 385-405 (2006). Reviewer: William J. Satzer jun. (St. Paul) MSC: 93B11 93C10 93A15 41A05 34K17 PDFBibTeX XMLCite \textit{B. Salimbahrami} and \textit{B. Lohmann}, Linear Algebra Appl. 415, No. 2--3, 385--405 (2006; Zbl 1103.93017) Full Text: DOI
Sofroniou, Mark; Spaletta, Giulia Derivation of symmetric composition constants for symmetric integrators. (English) Zbl 1082.65070 Optim. Methods Softw. 20, No. 4-5, 597-613 (2005). MSC: 65L05 34A34 65P10 37M15 68W30 PDFBibTeX XMLCite \textit{M. Sofroniou} and \textit{G. Spaletta}, Optim. Methods Softw. 20, No. 4--5, 597--613 (2005; Zbl 1082.65070) Full Text: DOI
Walmag, Jérôme M. B.; Delhez, Éric J. M. A trust-region method applied to parameter identification of a simple prey-predator model. (English) Zbl 1077.65083 Appl. Math. Modelling 29, No. 3, 289-307 (2005). MSC: 65L09 34A55 34A34 90C53 65K05 92D25 PDFBibTeX XMLCite \textit{J. M. B. Walmag} and \textit{É. J. M. Delhez}, Appl. Math. Modelling 29, No. 3, 289--307 (2005; Zbl 1077.65083) Full Text: DOI
Koikari, S. Rooted tree analysis of Runge–Kutta methods with exact treatment of linear terms. (English) Zbl 1072.65106 J. Comput. Appl. Math. 177, No. 2, 427-453 (2005). Reviewer: Raffaella Pavani (Milano) MSC: 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{S. Koikari}, J. Comput. Appl. Math. 177, No. 2, 427--453 (2005; Zbl 1072.65106) Full Text: DOI
Shampine, L. F.; Muir, P. H. Estimating conditioning of BVPs for ODEs. (English) Zbl 1074.65092 Math. Comput. Modelling 40, No. 11-12, 1309-1321 (2004). MSC: 65L10 65L70 34B15 PDFBibTeX XMLCite \textit{L. F. Shampine} and \textit{P. H. Muir}, Math. Comput. Modelling 40, No. 11--12, 1309--1321 (2004; Zbl 1074.65092) Full Text: DOI
Lu, Ya Yan Computing a matrix function for exponential integrators. (English) Zbl 1033.65028 J. Comput. Appl. Math. 161, No. 1, 203-216 (2003). MSC: 65F30 65L05 65F50 34A30 PDFBibTeX XMLCite \textit{Y. Y. Lu}, J. Comput. Appl. Math. 161, No. 1, 203--216 (2003; Zbl 1033.65028) Full Text: DOI
Fernando, K. V. Accurate ordering of eigenvectors and singular vectors without eigenvalues and singular values. (English) Zbl 1033.65017 Linear Algebra Appl. 374, 1-17 (2003). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 65F15 65Y05 47B36 34B24 15A18 65F50 34L16 PDFBibTeX XMLCite \textit{K. V. Fernando}, Linear Algebra Appl. 374, 1--17 (2003; Zbl 1033.65017) Full Text: DOI
Botchev, Mike A.; van der Vorst, Henk A. A parallel nearly implicit time-stepping scheme. (English) Zbl 0991.65067 J. Comput. Appl. Math. 137, No. 2, 229-243 (2001). MSC: 65L20 65Y05 34A34 65L05 65L06 65L50 PDFBibTeX XMLCite \textit{M. A. Botchev} and \textit{H. A. van der Vorst}, J. Comput. Appl. Math. 137, No. 2, 229--243 (2001; Zbl 0991.65067) Full Text: DOI
Zlatev, Z. Partitioning ODE systems with an application to air pollution models. (English) Zbl 0985.65087 Comput. Math. Appl. 42, No. 6-7, 817-832 (2001). Reviewer: M.I.Krastanov (Sofia) MSC: 65L06 92D40 65L05 34A34 PDFBibTeX XMLCite \textit{Z. Zlatev}, Comput. Math. Appl. 42, No. 6--7, 817--832 (2001; Zbl 0985.65087) Full Text: DOI
Dyksen, Wayne R.; Lynch, Robert E. A new decoupling technique for the Hermite cubic collocation equations arising from boundary value problems. (English) Zbl 0985.65088 Math. Comput. Simul. 54, No. 4-5, 359-372 (2000). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65L10 34B05 65L60 PDFBibTeX XMLCite \textit{W. R. Dyksen} and \textit{R. E. Lynch}, Math. Comput. Simul. 54, No. 4--5, 359--372 (2000; Zbl 0985.65088) Full Text: DOI
Jia, Zhongxiao A variation on the block Arnoldi method for large unsymmetric matrix eigenproblems. (English) Zbl 0931.65036 Acta Math. Appl. Sin., Engl. Ser. 14, No. 4, 425-432 (1998). Reviewer: Váslaw Burjan (Praha) MSC: 65F15 65L15 34L15 PDFBibTeX XMLCite \textit{Z. Jia}, Acta Math. Appl. Sin., Engl. Ser. 14, No. 4, 425--432 (1998; Zbl 0931.65036) Full Text: DOI
Bai, Zhaojun; Orlandi, Antonio; Smith, William T. Moment matching method for numerical solution of MTL equations in interconnect analysis. (English) Zbl 0889.65075 J. Comput. Appl. Math. 86, No. 1, 3-16 (1997). Reviewer: Ll.G.Chambers (Bangor) MSC: 65L05 78M25 78A55 34L10 65F15 PDFBibTeX XMLCite \textit{Z. Bai} et al., J. Comput. Appl. Math. 86, No. 1, 3--16 (1997; Zbl 0889.65075) Full Text: DOI
Amodio, P.; Paprzycki, M. Parallel solution of almost block diagonal systems on a hypercube. (English) Zbl 0860.65066 Linear Algebra Appl. 241-243, 85-103 (1996). Reviewer: Myron Sussman (Bethel Park) MSC: 65L10 34B05 65Y05 PDFBibTeX XMLCite \textit{P. Amodio} and \textit{M. Paprzycki}, Linear Algebra Appl. 241--243, 85--103 (1996; Zbl 0860.65066) Full Text: DOI
Kunkel, Peter; Mehrmann, Volker A new look at pencils of matrix valued functions. (English) Zbl 0814.15008 Linear Algebra Appl. 212-213, 215-248 (1994). Reviewer: Y.Kuo (Knoxville) MSC: 15A22 34A34 15A21 PDFBibTeX XMLCite \textit{P. Kunkel} and \textit{V. Mehrmann}, Linear Algebra Appl. 212--213, 215--248 (1994; Zbl 0814.15008) Full Text: DOI