Dufée, Benjamin; Hug, Bérenger; Mémin, Étienne; Tissot, Gilles Ensemble forecasts in reproducing kernel Hilbert space family. (English) Zbl 07814545 Physica D 459, Article ID 134044, 24 p. (2024). MSC: 37Mxx 68Txx 37Axx PDFBibTeX XMLCite \textit{B. Dufée} et al., Physica D 459, Article ID 134044, 24 p. (2024; Zbl 07814545) 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: 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
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
Uzunca, Murat; Karasözen, Bülent Reduced-order modeling for Ablowitz-Ladik equation. (English) Zbl 07736745 Math. Comput. Simul. 213, 261-273 (2023). MSC: 65M06 65P10 37J05 37M15 76B15 PDFBibTeX XMLCite \textit{M. Uzunca} and \textit{B. Karasözen}, Math. Comput. Simul. 213, 261--273 (2023; Zbl 07736745) Full Text: DOI arXiv
Mehrmann, Volker; Unger, Benjamin Control of port-Hamiltonian differential-algebraic systems and applications. (English) Zbl 07736658 Acta Numerica 32, 395-515 (2023). MSC: 65-XX 65L80 37J06 PDFBibTeX XMLCite \textit{V. Mehrmann} and \textit{B. Unger}, Acta Numerica 32, 395--515 (2023; Zbl 07736658) Full Text: DOI arXiv
Pichi, Federico; Ballarin, Francesco; Rozza, Gianluigi; Hesthaven, Jan S. An artificial neural network approach to bifurcating phenomena in computational fluid dynamics. (English) Zbl 1521.76359 Comput. Fluids 254, Article ID 105813, 17 p. (2023). MSC: 76M10 37M20 68T07 PDFBibTeX XMLCite \textit{F. Pichi} et al., Comput. Fluids 254, Article ID 105813, 17 p. (2023; Zbl 1521.76359) 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
Cifani, P.; Viviani, M.; Modin, K. An efficient geometric method for incompressible hydrodynamics on the sphere. (English) Zbl 07625431 J. Comput. Phys. 473, Article ID 111772, 10 p. (2023). MSC: 37Jxx 76Mxx 37Mxx PDFBibTeX XMLCite \textit{P. Cifani} et al., J. Comput. Phys. 473, Article ID 111772, 10 p. (2023; Zbl 07625431) Full Text: DOI arXiv
Liljegren-Sailer, Björn; Marheineke, Nicole On port-Hamiltonian approximation of a nonlinear flow problem on networks. (English) Zbl 07556264 SIAM J. Sci. Comput. 44, No. 3, B834-B859 (2022). MSC: 65-XX 35L60 37L65 35R02 76Nxx PDFBibTeX XMLCite \textit{B. Liljegren-Sailer} and \textit{N. Marheineke}, SIAM J. Sci. Comput. 44, No. 3, B834--B859 (2022; Zbl 07556264) Full Text: DOI arXiv
Kirsten, Gerhard Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations. (English) Zbl 1497.37106 J. Comput. Dyn. 9, No. 2, 159-183 (2022). MSC: 37M99 65N06 PDFBibTeX XMLCite \textit{G. Kirsten}, J. Comput. Dyn. 9, No. 2, 159--183 (2022; Zbl 1497.37106) Full Text: DOI arXiv
Gao, Zhen; Lin, Yifan; Sun, Xiang; Zeng, Xueying A reduced order method for nonlinear parameterized partial differential equations using dynamic mode decomposition coupled with \(k\)-nearest-neighbors regression. (English) Zbl 07517736 J. Comput. Phys. 452, Article ID 110907, 18 p. (2022). MSC: 37Mxx 65Mxx 65Pxx PDFBibTeX XMLCite \textit{Z. Gao} et al., J. Comput. Phys. 452, Article ID 110907, 18 p. (2022; Zbl 07517736) Full Text: DOI
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. (English) Zbl 1492.37073 ESAIM, Math. Model. Numer. Anal. 56, No. 2, 617-650 (2022). MSC: 37M15 37N30 65P10 78M34 PDFBibTeX XMLCite \textit{J. S. Hesthaven} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 2, 617--650 (2022; Zbl 1492.37073) 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
Gosea, Ion Victor; Gugercin, Serkan; Beattie, Christopher Data-driven balancing of linear dynamical systems. (English) Zbl 1492.37076 SIAM J. Sci. Comput. 44, No. 1, A554-A582 (2022). MSC: 37M99 41A20 65D30 93A15 93B15 PDFBibTeX XMLCite \textit{I. V. Gosea} et al., SIAM J. Sci. Comput. 44, No. 1, A554--A582 (2022; Zbl 1492.37076) Full Text: DOI arXiv
Hoang, Chi; Chowdhary, Kenny; Lee, Kookjin; Ray, Jaideep Projection-based model reduction of dynamical systems using space-time subspace and machine learning. (English) Zbl 1507.65292 Comput. Methods Appl. Mech. Eng. 389, Article ID 114341, 34 p. (2022). MSC: 65P99 37M10 68T05 PDFBibTeX XMLCite \textit{C. Hoang} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114341, 34 p. (2022; Zbl 1507.65292) Full Text: DOI arXiv
Li, Mengnan; Jiang, Lijian Deep learning nonlinear multiscale dynamic problems using Koopman operator. (English) Zbl 07516470 J. Comput. Phys. 446, Article ID 110660, 19 p. (2021). MSC: 65Nxx 76Mxx 37Mxx PDFBibTeX XMLCite \textit{M. Li} and \textit{L. Jiang}, J. Comput. Phys. 446, Article ID 110660, 19 p. (2021; Zbl 07516470) Full Text: DOI
Li, Teng; Deng, Shiyuan; Zhang, Kun; Wei, Haibo; Wang, Runlong; Fan, Jun; Xin, Jianqiang; Yao, Jianyao A nonintrusive parametrized reduced-order model for periodic flows based on extended proper orthogonal decomposition. (English) Zbl 07446702 Int. J. Comput. Methods 18, No. 9, Article ID 2150035, 33 p. (2021). MSC: 76-XX 37-XX PDFBibTeX XMLCite \textit{T. Li} et al., Int. J. Comput. Methods 18, No. 9, Article ID 2150035, 33 p. (2021; Zbl 07446702) Full Text: DOI
Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat; Yıldız, Süleyman Reduced order modelling of nonlinear cross-diffusion systems. (English) Zbl 1508.37116 Appl. Math. Comput. 401, Article ID 126058, 16 p. (2021). MSC: 37N25 35K57 35K61 65L05 65M06 92D25 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Appl. Math. Comput. 401, Article ID 126058, 16 p. (2021; Zbl 1508.37116) Full Text: DOI arXiv
Feng, Lihong; Benner, Peter On error estimation for reduced-order modeling of linear non-parametric and parametric systems. (English) Zbl 1480.37086 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 561-594 (2021). Reviewer: Hendrik Ranocha (Hamburg) MSC: 37M05 65P99 65L80 49Q12 PDFBibTeX XMLCite \textit{L. Feng} and \textit{P. Benner}, ESAIM, Math. Model. Numer. Anal. 55, No. 2, 561--594 (2021; Zbl 1480.37086) Full Text: DOI arXiv
Pulch, Roland Model order reduction in uncertainty quantification. (English) Zbl 1470.37107 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 321-344 (2021). MSC: 37M99 65D32 65L99 93A15 PDFBibTeX XMLCite \textit{R. Pulch}, in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 321--344 (2021; Zbl 1470.37107) Full Text: DOI
Loiseau, Jean-Christophe; Brunton, Steven L.; Noack, Bernd R. From the POD-Galerkin method to sparse manifold models. (English) Zbl 1471.76057 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 279-319 (2021). MSC: 76M99 76D05 37N10 PDFBibTeX XMLCite \textit{J.-C. Loiseau} et al., in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 279--319 (2021; Zbl 1471.76057) 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
Eason, John P.; Biegler, Lorenz T. Model reduction in chemical process optimization. (English) Zbl 1471.35281 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1-31 (2021). MSC: 35Q93 35-02 93A15 93C05 49M41 49M37 80A25 76V05 35B30 37M99 41A05 65K10 65M99 65F20 PDFBibTeX XMLCite \textit{J. P. Eason} and \textit{L. T. Biegler}, in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 1--31 (2021; Zbl 1471.35281) Full Text: DOI
Hesthaven, Jan S.; Pagliantini, Cecilia Structure-preserving reduced basis methods for Poisson systems. (English) Zbl 1465.37095 Math. Comput. 90, No. 330, 1701-1740 (2021). MSC: 37M15 37M05 65P10 PDFBibTeX XMLCite \textit{J. S. Hesthaven} and \textit{C. Pagliantini}, Math. Comput. 90, No. 330, 1701--1740 (2021; Zbl 1465.37095) Full Text: DOI Link
Qian, Elizabeth; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen Lift & learn: physics-informed machine learning for large-scale nonlinear dynamical systems. (English) Zbl 1493.62512 Physica D 406, Article ID 132401, 10 p. (2020). MSC: 62M09 35K58 37C15 PDFBibTeX XMLCite \textit{E. Qian} et al., Physica D 406, Article ID 132401, 10 p. (2020; Zbl 1493.62512) Full Text: DOI arXiv
Schaeffer, Hayden; McCalla, Scott G. Extending the step-size restriction for gradient descent to avoid strict saddle points. (English) Zbl 1484.90088 SIAM J. Math. Data Sci. 2, No. 4, 1181-1197 (2020). MSC: 90C26 37L10 PDFBibTeX XMLCite \textit{H. Schaeffer} and \textit{S. G. McCalla}, SIAM J. Math. Data Sci. 2, No. 4, 1181--1197 (2020; Zbl 1484.90088) Full Text: DOI arXiv
Black, Felix; Schulze, Philipp; Unger, Benjamin Projection-based model reduction with dynamically transformed modes. (English) Zbl 1470.35276 ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2011-2043 (2020). MSC: 35Q35 37L65 65M60 65M99 65M06 65N06 65M15 65K10 PDFBibTeX XMLCite \textit{F. Black} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 6, 2011--2043 (2020; Zbl 1470.35276) Full Text: DOI arXiv
Benner, Peter; Goyal, Pawan; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. (English) Zbl 1506.93015 Comput. Methods Appl. Mech. Eng. 372, Article ID 113433, 17 p. (2020). MSC: 93B11 93C05 93C20 65M99 35K58 35K67 37M10 PDFBibTeX XMLCite \textit{P. Benner} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113433, 17 p. (2020; Zbl 1506.93015) Full Text: DOI arXiv
Giannakis, Dimitrios; Das, Suddhasattwa Extraction and prediction of coherent patterns in incompressible flows through space-time koopman analysis. (English) Zbl 1453.76179 Physica D 402, Article ID 132211, 38 p. (2020). MSC: 76M35 37A50 37N10 37L65 47A75 PDFBibTeX XMLCite \textit{D. Giannakis} and \textit{S. Das}, Physica D 402, Article ID 132211, 38 p. (2020; Zbl 1453.76179) Full Text: DOI arXiv
Hokanson, Jeffrey M. A data-driven McMillan degree lower bound. (English) Zbl 1456.37098 SIAM J. Sci. Comput. 42, No. 5, A3447-A3461 (2020). MSC: 37M99 15B52 60B20 62B10 93E12 PDFBibTeX XMLCite \textit{J. M. Hokanson}, SIAM J. Sci. Comput. 42, No. 5, A3447--A3461 (2020; Zbl 1456.37098) Full Text: DOI arXiv
Tantet, Alexis; Chekroun, Mickaël D.; Dijkstra, Henk A.; Neelin, J. David Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part II: Stochastic Hopf bifurcation. (English) Zbl 1460.60056 J. Stat. Phys. 179, No. 5-6, 1403-1448 (2020). MSC: 60H10 37H20 35Q84 35R60 60J35 82C31 PDFBibTeX XMLCite \textit{A. Tantet} et al., J. Stat. Phys. 179, No. 5--6, 1403--1448 (2020; Zbl 1460.60056) Full Text: DOI arXiv
Choi, Youngsoo; Coombs, Deshawn; Anderson, Robert SNS: a solution-based nonlinear subspace method for time-dependent model order reduction. (English) Zbl 1442.37111 SIAM J. Sci. Comput. 42, No. 2, A1116-A1146 (2020). MSC: 37N30 37M99 65L05 65L06 65L60 PDFBibTeX XMLCite \textit{Y. Choi} et al., SIAM J. Sci. Comput. 42, No. 2, A1116--A1146 (2020; Zbl 1442.37111) 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
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
Wang, Li; Yan, Zhenya; Guo, Boling Numerical analysis of the Hirota equation: modulational instability, breathers, rogue waves, and interactions. (English) Zbl 1435.35369 Chaos 30, No. 1, 013114, 10 p. (2020). MSC: 35Q60 35Q55 78A60 35C08 37K10 35R60 37K15 65M70 PDFBibTeX XMLCite \textit{L. Wang} et al., Chaos 30, No. 1, 013114, 10 p. (2020; Zbl 1435.35369) Full Text: DOI
Erichson, N. Benjamin; Mathelin, Lionel; Kutz, J. Nathan; Brunton, Steven L. Randomized dynamic mode decomposition. (English) Zbl 1427.65410 SIAM J. Appl. Dyn. Syst. 18, No. 4, 1867-1891 (2019). MSC: 65P99 65F20 37M10 37N10 PDFBibTeX XMLCite \textit{N. B. Erichson} et al., SIAM J. Appl. Dyn. Syst. 18, No. 4, 1867--1891 (2019; Zbl 1427.65410) Full Text: DOI arXiv
Miyatake, Yuto Structure-preserving model reduction for dynamical systems with a first integral. (English) Zbl 1427.65408 Japan J. Ind. Appl. Math. 36, No. 3, 1021-1037 (2019). MSC: 65P10 65L05 65M06 37M15 PDFBibTeX XMLCite \textit{Y. Miyatake}, Japan J. Ind. Appl. Math. 36, No. 3, 1021--1037 (2019; Zbl 1427.65408) Full Text: DOI arXiv
Afkham, Babak Maboudi; Hesthaven, Jan S. Structure-preserving model-reduction of dissipative Hamiltonian systems. (English) Zbl 1433.37074 J. Sci. Comput. 81, No. 1, 3-21 (2019). MSC: 37M15 65P10 PDFBibTeX XMLCite \textit{B. M. Afkham} and \textit{J. S. Hesthaven}, J. Sci. Comput. 81, No. 1, 3--21 (2019; Zbl 1433.37074) Full Text: DOI arXiv
Giannakis, Dimitrios; Ourmazd, Abbas; Slawinska, Joanna; Zhao, Zhizhen Spatiotemporal pattern extraction by spectral analysis of vector-valued observables. (English) Zbl 1428.37084 J. Nonlinear Sci. 29, No. 5, 2385-2445 (2019); correction ibid. 30, No. 2, 711 (2020). Reviewer: Mohammad Sajid (Buraidah) MSC: 37M25 28B05 37M10 47B34 PDFBibTeX XMLCite \textit{D. Giannakis} et al., J. Nonlinear Sci. 29, No. 5, 2385--2445 (2019; Zbl 1428.37084) Full Text: DOI arXiv
Li, Lu; Celledoni, Elena Krylov projection methods for linear Hamiltonian systems. (English) Zbl 1416.65515 Numer. Algorithms 81, No. 4, 1361-1378 (2019). MSC: 65P10 65F15 65F50 37M15 PDFBibTeX XMLCite \textit{L. Li} and \textit{E. Celledoni}, Numer. Algorithms 81, No. 4, 1361--1378 (2019; Zbl 1416.65515) Full Text: DOI arXiv
Egger, H. Structure preserving approximation of dissipative evolution problems. (English) Zbl 1450.37071 Numer. Math. 143, No. 1, 85-106 (2019). Reviewer: Vasile Marinca (Timişoara) MSC: 37L65 37M15 65P10 47J35 65N30 PDFBibTeX XMLCite \textit{H. Egger}, Numer. Math. 143, No. 1, 85--106 (2019; Zbl 1450.37071) 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
Spyropoulos, A. N.; Papathanasiou, A. G.; Boudouvis, A. G. The 2-3-4 spike competition in the Rosensweig instability. (English) Zbl 1419.76717 J. Fluid Mech. 870, 389-404 (2019). MSC: 76W05 76E30 37N10 PDFBibTeX XMLCite \textit{A. N. Spyropoulos} et al., J. Fluid Mech. 870, 389--404 (2019; Zbl 1419.76717) Full Text: DOI
Manohar, Krithika; Kaiser, Eurika; Brunton, Steven L.; Kutz, J. Nathan Optimized sampling for multiscale dynamics. (English) Zbl 07033871 Multiscale Model. Simul. 17, No. 1, 117-136 (2019). MSC: 65T99 37M10 37N10 62K99 PDFBibTeX XMLCite \textit{K. Manohar} et al., Multiscale Model. Simul. 17, No. 1, 117--136 (2019; Zbl 07033871) 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
Goza, Andres; Colonius, Tim; Sader, John E. Global modes and nonlinear analysis of inverted-flag flapping. (English) Zbl 1415.76125 J. Fluid Mech. 857, 312-344 (2018). MSC: 76D05 74F10 37N10 PDFBibTeX XMLCite \textit{A. Goza} et al., J. Fluid Mech. 857, 312--344 (2018; Zbl 1415.76125) Full Text: DOI arXiv Link
González, David R.; Gaitonde, Datta V. Analysis of compressible free shear layers with finite-time Lyapunov exponents. (English) Zbl 1410.76068 Comput. Fluids 174, 46-65 (2018). MSC: 76F20 37N10 76F05 PDFBibTeX XMLCite \textit{D. R. González} and \textit{D. V. Gaitonde}, Comput. Fluids 174, 46--65 (2018; Zbl 1410.76068) Full Text: DOI
Shulkind, Gal; Horesh, Lior; Avron, Haim Experimental design for nonparametric correction of misspecified dynamical models. (English) Zbl 1403.62140 SIAM/ASA J. Uncertain. Quantif. 6, 880-906 (2018). MSC: 62K05 37M05 62G08 68T05 60G15 PDFBibTeX XMLCite \textit{G. Shulkind} et al., SIAM/ASA J. Uncertain. Quantif. 6, 880--906 (2018; Zbl 1403.62140) Full Text: DOI arXiv
Tantet, Alexis; Lucarini, Valerio; Lunkeit, Frank; Dijkstra, Henk A. Crisis of the chaotic attractor of a climate model: a transfer operator approach. (English) Zbl 1406.37061 Nonlinearity 31, No. 5, 2221-2251 (2018). Reviewer: Gheorghe Tigan (Timisoara) MSC: 37N10 37D45 37A30 37D25 37G35 37C30 86A10 PDFBibTeX XMLCite \textit{A. Tantet} et al., Nonlinearity 31, No. 5, 2221--2251 (2018; Zbl 1406.37061) Full Text: DOI arXiv Link
Héas, Patrick; Herzet, Cédric Reduced modeling of unknown trajectories. (English) Zbl 1390.37131 Arch. Comput. Methods Eng. 25, No. 1, 87-101 (2018). MSC: 37M05 62H15 62H12 65C05 PDFBibTeX XMLCite \textit{P. Héas} and \textit{C. Herzet}, Arch. Comput. Methods Eng. 25, No. 1, 87--101 (2018; Zbl 1390.37131) Full Text: DOI arXiv
Luo, Quanbing; Liang, Dong; Ren, Ting; Zhang, Jian Calculation of critical parameters for spontaneous combustion for some complex geometries using an indirect numerical method. (English) Zbl 1384.65089 ANZIAM J. 59, No. 3, 402-412 (2018). MSC: 65P30 80A25 37M20 PDFBibTeX XMLCite \textit{Q. Luo} et al., ANZIAM J. 59, No. 3, 402--412 (2018; Zbl 1384.65089) Full Text: DOI
Oh, Duk-Soon; Widlund, Olof B.; Zampini, Stefano; Dohrmann, Clark R. BDDC algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields. (English) Zbl 1380.65065 Math. Comput. 87, No. 310, 659-692 (2018). MSC: 65F08 65N30 65N55 37C10 PDFBibTeX XMLCite \textit{D.-S. Oh} et al., Math. Comput. 87, No. 310, 659--692 (2018; Zbl 1380.65065) Full Text: DOI
Schulze, Philipp; Unger, Benjamin; Beattie, Christopher; Gugercin, Serkan Data-driven structured realization. (English) Zbl 1373.93087 Linear Algebra Appl. 537, 250-286 (2018). MSC: 93B15 30E05 37M99 93C05 93A15 PDFBibTeX XMLCite \textit{P. Schulze} et al., Linear Algebra Appl. 537, 250--286 (2018; Zbl 1373.93087) Full Text: DOI arXiv
Gong, Yuezheng; Wang, Qi; Wang, Zhu Structure-preserving Galerkin POD reduced-order modeling of Hamiltonian systems. (English) Zbl 1439.37083 Comput. Methods Appl. Mech. Eng. 315, 780-798 (2017). MSC: 37M25 65L60 65P10 93A15 93B11 PDFBibTeX XMLCite \textit{Y. Gong} et al., Comput. Methods Appl. Mech. Eng. 315, 780--798 (2017; Zbl 1439.37083) Full Text: DOI arXiv
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
Airiau, Christophe; Buchot, Jean-Marie; Dubey, Ritesh Kumar; Fournié, Michel; Raymond, Jean-Pierre; Weller-Calvo, Jessie Stabilization and best actuator location for the Navier-Stokes equations. (English) Zbl 1373.93129 SIAM J. Sci. Comput. 39, No. 5, B993-B1020 (2017). MSC: 93B52 37M99 37N10 76N25 76D05 PDFBibTeX XMLCite \textit{C. Airiau} et al., SIAM J. Sci. Comput. 39, No. 5, B993--B1020 (2017; Zbl 1373.93129) Full Text: DOI
Alla, Alessandro; Kutz, J. Nathan Nonlinear model order reduction via dynamic mode decomposition. (English) Zbl 1373.65090 SIAM J. Sci. Comput. 39, No. 5, B778-B796 (2017). MSC: 65P99 37M05 PDFBibTeX XMLCite \textit{A. Alla} and \textit{J. N. Kutz}, SIAM J. Sci. Comput. 39, No. 5, B778--B796 (2017; Zbl 1373.65090) Full Text: DOI arXiv
Billaud-Friess, Marie; Nouy, Anthony Dynamical model reduction method for solving parameter-dependent dynamical systems. (English) Zbl 1373.65091 SIAM J. Sci. Comput. 39, No. 4, A1766-A1792 (2017). MSC: 65P99 37M05 65M15 PDFBibTeX XMLCite \textit{M. Billaud-Friess} and \textit{A. Nouy}, SIAM J. Sci. Comput. 39, No. 4, A1766--A1792 (2017; Zbl 1373.65091) Full Text: DOI arXiv
Wang, Bo-Fu; Wen-Hann Sheu, Tony Numerical investigation of electrohydrodynamic instability and bifurcation in a dielectric liquid subjected to unipolar injection. (English) Zbl 1390.76921 Comput. Fluids 136, 1-10 (2016). MSC: 76W05 37N10 76M25 PDFBibTeX XMLCite \textit{B.-F. Wang} and \textit{T. Wen-Hann Sheu}, Comput. Fluids 136, 1--10 (2016; Zbl 1390.76921) Full Text: DOI
Bilman, D.; Nenciu, I. On the evolution of scattering data under perturbations of the Toda lattice. (English) Zbl 1373.37154 Physica D 330, 1-16 (2016). MSC: 37K10 37K55 37M05 65P99 PDFBibTeX XMLCite \textit{D. Bilman} and \textit{I. Nenciu}, Physica D 330, 1--16 (2016; Zbl 1373.37154) Full Text: DOI arXiv
Chaturantabut, S.; Beattie, C.; Gugercin, S. Structure-preserving model reduction for nonlinear port-Hamiltonian systems. (English) Zbl 1376.37120 SIAM J. Sci. Comput. 38, No. 5, B837-B865 (2016). MSC: 37M05 65P10 93A15 PDFBibTeX XMLCite \textit{S. Chaturantabut} et al., SIAM J. Sci. Comput. 38, No. 5, B837--B865 (2016; Zbl 1376.37120) Full Text: DOI arXiv
Canton, Jacopo; Schlatter, Philipp; Örlü, Ramis Modal instability of the flow in a toroidal pipe. (English) Zbl 1381.76073 J. Fluid Mech. 792, 894-909 (2016). MSC: 76Exx 37C70 PDFBibTeX XMLCite \textit{J. Canton} et al., J. Fluid Mech. 792, 894--909 (2016; Zbl 1381.76073) Full Text: DOI
Aristoff, David; Bello-Rivas, Juan M.; Elber, Ron A mathematical framework for exact milestoning. (English) Zbl 1338.82035 Multiscale Model. Simul. 14, No. 1, 301-322 (2016). MSC: 82C21 82C80 37A30 PDFBibTeX XMLCite \textit{D. Aristoff} et al., Multiscale Model. Simul. 14, No. 1, 301--322 (2016; Zbl 1338.82035) Full Text: DOI arXiv
Amsallem, David; Nordström, Jan Energy stable model reduction of neurons by nonnegative discrete empirical interpolation. (English) Zbl 1359.37145 SIAM J. Sci. Comput. 38, No. 2, B297-B326 (2016). MSC: 37M99 65M06 65M15 92C20 92B20 PDFBibTeX XMLCite \textit{D. Amsallem} and \textit{J. Nordström}, SIAM J. Sci. Comput. 38, No. 2, B297--B326 (2016; Zbl 1359.37145) Full Text: DOI
Peng, Liqian; Mohseni, Kamran Symplectic model reduction of Hamiltonian systems. (English) Zbl 1330.65193 SIAM J. Sci. Comput. 38, No. 1, A1-A27 (2016). MSC: 65P10 37M15 37J25 PDFBibTeX XMLCite \textit{L. Peng} and \textit{K. Mohseni}, SIAM J. Sci. Comput. 38, No. 1, A1--A27 (2016; Zbl 1330.65193) Full Text: DOI arXiv
Froyland, Gary; Junge, Oliver On fast computation of finite-time coherent sets using radial basis functions. (English) Zbl 1422.65448 Chaos 25, No. 8, 087409, 11 p. (2015). MSC: 65P40 37M99 PDFBibTeX XMLCite \textit{G. Froyland} and \textit{O. Junge}, Chaos 25, No. 8, 087409, 11 p. (2015; Zbl 1422.65448) Full Text: DOI arXiv
Kevrekidis, Ioannis G.; Rowley, Clarence W.; Williams, Matthew O. A kernel-based method for data-driven Koopman spectral analysis. (English) Zbl 1366.37144 J. Comput. Dyn. 2, No. 2, 247-265 (2015). MSC: 37M10 65P99 62J02 68T05 PDFBibTeX XMLCite \textit{I. G. Kevrekidis} et al., J. Comput. Dyn. 2, No. 2, 247--265 (2015; Zbl 1366.37144) Full Text: DOI
Benner, Peter; Gugercin, Serkan; Willcox, Karen A survey of projection-based model reduction methods for parametric dynamical systems. (English) Zbl 1339.37089 SIAM Rev. 57, No. 4, 483-531 (2015). MSC: 37M99 35B30 41A05 65K99 93A15 93C05 PDFBibTeX XMLCite \textit{P. Benner} et al., SIAM Rev. 57, No. 4, 483--531 (2015; Zbl 1339.37089) Full Text: DOI Link
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
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
Williams, Matthew O.; Kevrekidis, Ioannis G.; Rowley, Clarence W. A data-driven approximation of the koopman operator: extending dynamic mode decomposition. (English) Zbl 1329.65310 J. Nonlinear Sci. 25, No. 6, 1307-1346 (2015). MSC: 65P99 37M25 37H10 47B33 PDFBibTeX XMLCite \textit{M. O. Williams} et al., J. Nonlinear Sci. 25, No. 6, 1307--1346 (2015; Zbl 1329.65310) Full Text: DOI arXiv
Lucas, Dan; Kerswell, Rich R. Recurrent flow analysis in spatiotemporally chaotic 2-dimensional Kolmogorov flow. (English) Zbl 1326.76044 Phys. Fluids 27, No. 4, Paper No. 045106, 26 p. (2015). MSC: 76F20 37N10 PDFBibTeX XMLCite \textit{D. Lucas} and \textit{R. R. Kerswell}, Phys. Fluids 27, No. 4, Paper No. 045106, 26 p. (2015; Zbl 1326.76044) Full Text: DOI arXiv
Carlberg, Kevin; Tuminaro, Ray; Boggs, Paul Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics. (English) Zbl 1320.65193 SIAM J. Sci. Comput. 37, No. 2, B153-B184 (2015). MSC: 65P10 15A83 47B25 37K05 53D20 65D05 65F30 PDFBibTeX XMLCite \textit{K. Carlberg} et al., SIAM J. Sci. Comput. 37, No. 2, B153--B184 (2015; Zbl 1320.65193) Full Text: DOI arXiv
Net, M.; Sánchez, J. Continuation of bifurcations of periodic orbits for large-scale systems. (English) Zbl 1370.37101 SIAM J. Appl. Dyn. Syst. 14, No. 2, 674-698 (2015). MSC: 37G15 37L15 37L20 37M05 37M20 65P30 65Z05 76D05 76E06 76M22 PDFBibTeX XMLCite \textit{M. Net} and \textit{J. Sánchez}, SIAM J. Appl. Dyn. Syst. 14, No. 2, 674--698 (2015; Zbl 1370.37101) Full Text: DOI Link
Giannakis, Dimitrios Dynamics-adapted cone kernels. (English) Zbl 1370.37141 SIAM J. Appl. Dyn. Syst. 14, No. 2, 556-608 (2015). MSC: 37N10 37M10 62H11 PDFBibTeX XMLCite \textit{D. Giannakis}, SIAM J. Appl. Dyn. Syst. 14, No. 2, 556--608 (2015; Zbl 1370.37141) Full Text: DOI arXiv
González-Miranda, J. M. Pacemaker dynamics in the full Morris-Lecar model. (English) Zbl 1510.92060 Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 3229-3241 (2014). MSC: 92C30 37N25 PDFBibTeX XMLCite \textit{J. M. González-Miranda}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 3229--3241 (2014; Zbl 1510.92060) Full Text: DOI
Kalita, Jiten C.; Gogoi, Bidyut B. Global two-dimensional stability of the staggered cavity flow with an HOC approach. (English) Zbl 1381.76051 Comput. Math. Appl. 67, No. 3, 569-590 (2014). MSC: 76D05 76M20 37G15 37N10 65M06 65M12 PDFBibTeX XMLCite \textit{J. C. Kalita} and \textit{B. B. Gogoi}, Comput. Math. Appl. 67, No. 3, 569--590 (2014; Zbl 1381.76051) Full Text: DOI
Livi, Roberto Dynamics, stability, and statistics on lattices and networks. (English) Zbl 1302.37013 J. Math. Phys. 55, No. 7, 075205, 75 p. (2014). Reviewer: Eugene Postnikov (Kursk) MSC: 37B25 37D45 37H15 37-01 82C31 PDFBibTeX XMLCite \textit{R. Livi}, J. Math. Phys. 55, No. 7, 075205, 75 p. (2014; Zbl 1302.37013) 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
Bodendiek, André; Bollhöfer, Matthias Adaptive-order rational Arnoldi-type methods in computational electromagnetism. (English) Zbl 1302.37054 BIT 54, No. 2, 357-380 (2014). MSC: 37N20 65F99 78A25 PDFBibTeX XMLCite \textit{A. Bodendiek} and \textit{M. Bollhöfer}, BIT 54, No. 2, 357--380 (2014; Zbl 1302.37054) Full Text: DOI
Nahvi, S. A.; Nabi, M.; Janardhanan, S. Nonlinearity-aware sub-model combination in trajectory based methods for nonlinear MOR. (English) Zbl 1499.37132 Math. Comput. Simul. 94, 127-144 (2013). MSC: 37N35 PDFBibTeX XMLCite \textit{S. A. Nahvi} et al., Math. Comput. Simul. 94, 127--144 (2013; Zbl 1499.37132) Full Text: DOI
Heyman, J.; Girault, G.; Guevel, Y.; Allery, C.; Hamdouni, A.; Cadou, J. M. Computation of Hopf bifurcations coupling reduced order models and the asymptotic numerical method. (English) Zbl 1391.76550 Comput. Fluids 76, 73-85 (2013). MSC: 76M25 76D05 37N10 PDFBibTeX XMLCite \textit{J. Heyman} et al., Comput. Fluids 76, 73--85 (2013; Zbl 1391.76550) Full Text: DOI HAL
Son, Nguyen Thanh A real time procedure for affinely dependent parametric model order reduction using interpolation on Grassmann manifolds. (English) Zbl 1352.93032 Int. J. Numer. Methods Eng. 93, No. 8, 818-833 (2013). MSC: 93B11 65P99 37N35 PDFBibTeX XMLCite \textit{N. T. Son}, Int. J. Numer. Methods Eng. 93, No. 8, 818--833 (2013; Zbl 1352.93032) Full Text: DOI
Farazmand, Mohammad; Haller, George Computing Lagrangian coherent structures from their variational theory. (English) Zbl 1331.37128 Chaos 22, No. 1, 013128, 12 p. (2012). MSC: 37N10 37N15 PDFBibTeX XMLCite \textit{M. Farazmand} and \textit{G. Haller}, Chaos 22, No. 1, 013128, 12 p. (2012; Zbl 1331.37128) Full Text: DOI Link
Kuptsov, Pavel V.; Parlitz, Ulrich Theory and computation of covariant Lyapunov vectors. (English) Zbl 1301.37065 J. Nonlinear Sci. 22, No. 5, 727-762 (2012). MSC: 37M25 37B25 PDFBibTeX XMLCite \textit{P. V. Kuptsov} and \textit{U. Parlitz}, J. Nonlinear Sci. 22, No. 5, 727--762 (2012; Zbl 1301.37065) Full Text: DOI arXiv
Hinze, M.; Kunkel, M. Residual based sampling in POD model order reduction of drift-diffusion equations in parametrized electrical networks. (English) Zbl 1237.78038 ZAMM, Z. Angew. Math. Mech. 92, No. 2, 91-104 (2012). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M10 82D37 65L60 37N20 78M34 PDFBibTeX XMLCite \textit{M. Hinze} and \textit{M. Kunkel}, ZAMM, Z. Angew. Math. Mech. 92, No. 2, 91--104 (2012; Zbl 1237.78038) Full Text: DOI arXiv
Benner, Peter; Li, Ren-Cang; Truhar, Ninoslav On the ADI method for Sylvester equations. (English) Zbl 1176.65050 J. Comput. Appl. Math. 233, No. 4, 1035-1045 (2009). MSC: 65F30 15A24 40C05 37L99 PDFBibTeX XMLCite \textit{P. Benner} et al., J. Comput. Appl. Math. 233, No. 4, 1035--1045 (2009; Zbl 1176.65050) Full Text: DOI
Çetinbaş, Murat; Wilkie, Joshua Kraus decomposition for chaotic environments including time-dependent subsystem Hamiltonians. (English) Zbl 1217.81121 Phys. Lett., A 372, No. 8, 1194-1204 (2008). MSC: 81S22 37D45 81T27 81T80 PDFBibTeX XMLCite \textit{M. Çetinbaş} and \textit{J. Wilkie}, Phys. Lett., A 372, No. 8, 1194--1204 (2008; Zbl 1217.81121) Full Text: DOI arXiv
Grande, Beau B.; Tavener, Simon J.; Thomas, James W. Adapting simulation codes to compute unstable solutions and bifurcation behaviour. (English) Zbl 1129.65095 Int. J. Numer. Methods Fluids 55, No. 3, 283-306 (2007). MSC: 65P30 37M20 37C27 PDFBibTeX XMLCite \textit{B. B. Grande} et al., Int. J. Numer. Methods Fluids 55, No. 3, 283--306 (2007; Zbl 1129.65095) Full Text: DOI
Iwasaki, Masashi; Nakamura, Yoshimasa Accurate computation of singular values in terms of shifted integrable schemes. (English) Zbl 1117.65055 Japan J. Ind. Appl. Math. 23, No. 3, 239-259 (2006). Reviewer: Oleksandr Kukush (Kyïv) MSC: 65F20 37K60 37N30 PDFBibTeX XMLCite \textit{M. Iwasaki} and \textit{Y. Nakamura}, Japan J. Ind. Appl. Math. 23, No. 3, 239--259 (2006; Zbl 1117.65055) Full Text: DOI
García-Archilla, Bosco; Sánchez, Juan; Simó, Carles Krylov methods and determinants for detecting bifurcations in one parameter dependent partial differential equations. (English) Zbl 1111.65112 BIT 46, No. 4, 731-757 (2006). Reviewer: H. B. Bouzahir (Agadir) MSC: 65P30 65F40 65F10 37G10 65F35 PDFBibTeX XMLCite \textit{B. García-Archilla} et al., BIT 46, No. 4, 731--757 (2006; Zbl 1111.65112) Full Text: DOI
Stykel, Tatjana Balanced truncation model reduction for semidiscretized Stokes equation. (English) Zbl 1102.65075 Linear Algebra Appl. 415, No. 2-3, 262-289 (2006). Reviewer: Piotr Matus (Minsk) MSC: 65K10 37N10 93A15 65M20 93B05 93B07 93B11 03C20 35Q30 35B37 PDFBibTeX XMLCite \textit{T. Stykel}, Linear Algebra Appl. 415, No. 2--3, 262--289 (2006; Zbl 1102.65075) Full Text: DOI
Spasov, Yulian; Kunisch, Karl Dynamical system based optimal control of incompressible fluids. Boundary control. (English) Zbl 1084.76024 Eur. J. Mech., B, Fluids 25, No. 2, 153-163 (2006). MSC: 76D55 76M12 37N10 PDFBibTeX XMLCite \textit{Y. Spasov} and \textit{K. Kunisch}, Eur. J. Mech., B, Fluids 25, No. 2, 153--163 (2006; Zbl 1084.76024) Full Text: DOI
Kuo, Yuen-Cheng; Lin, Wen-Wei; Shieh, Shih-Feng Bifurcation analysis of a two-component Bose-Einstein condensate. (English) Zbl 1125.82019 Physica D 211, No. 3-4, 311-346 (2005). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 82C10 37N20 35A15 35Q55 PDFBibTeX XMLCite \textit{Y.-C. Kuo} et al., Physica D 211, No. 3--4, 311--346 (2005; Zbl 1125.82019) 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
Salinger, A. G.; Burroughs, E. A.; Pawlowski, R. P.; Phipps, E. T.; Romero, L. A. Bifurcation tracking algorithms and software for large scale applications. (English) Zbl 1076.65118 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 1015-1032 (2005). MSC: 65P30 37G15 37M20 65Y15 76R05 76M10 PDFBibTeX XMLCite \textit{A. G. Salinger} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 3, 1015--1032 (2005; Zbl 1076.65118) Full Text: DOI
Sánchez, J.; Net, M.; García-Archilla, B.; Simó, C. Newton-Krylov continuation of periodic orbits for Navier-Stokes flows. (English) Zbl 1153.76345 J. Comput. Phys. 201, No. 1, 13-33 (2004). MSC: 76D05 37L15 37N10 PDFBibTeX XMLCite \textit{J. Sánchez} et al., J. Comput. Phys. 201, No. 1, 13--33 (2004; Zbl 1153.76345) Full Text: DOI
Bai, Zhaojun Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. (English) Zbl 1012.65136 Appl. Numer. Math. 43, No. 1-2, 9-44 (2002). MSC: 65P10 37M15 PDFBibTeX XMLCite \textit{Z. Bai}, Appl. Numer. Math. 43, No. 1--2, 9--44 (2002; Zbl 1012.65136) Full Text: DOI
Sanchez, J.; Marques, F.; Lopez, J. M. A continuation and bifurcation technique for Navier-Stokes flows. (English) Zbl 1130.76401 J. Comput. Phys. 180, No. 1, 78-98 (2002). MSC: 76M25 37N10 65P30 76D05 PDFBibTeX XMLCite \textit{J. Sanchez} et al., J. Comput. Phys. 180, No. 1, 78--98 (2002; Zbl 1130.76401) Full Text: DOI
Engø, Kenth; Marthinsen, Arne; Munthe-Kaas, Hans Z. DiffMan: An object-oriented MATLAB toolbox for solving differential equations on manifolds. (English) Zbl 0990.65139 Appl. Numer. Math. 39, No. 3-4, 323-347 (2001). MSC: 65P10 65Y15 37M15 PDFBibTeX XMLCite \textit{K. Engø} et al., Appl. Numer. Math. 39, No. 3--4, 323--347 (2001; Zbl 0990.65139) Full Text: DOI