Chen, X.; Akella, S.; Navon, I. M. A dual-weighted trust-region adaptive POD 4-D var applied to a finite-volume shallow water equations model on the sphere. (English) Zbl 1426.76347 Int. J. Numer. Methods Fluids 68, No. 3, 377-402 (2012). MSC: 76M12 76U05 86A05 PDFBibTeX XMLCite \textit{X. Chen} et al., Int. J. Numer. Methods Fluids 68, No. 3, 377--402 (2012; Zbl 1426.76347) Full Text: DOI
Hay, Alexander; Akhtar, Imran; Borggaard, Jeff T. On the use of sensitivity analysis in model reduction to predict flows for varying inflow conditions. (English) Zbl 1426.76267 Int. J. Numer. Methods Fluids 68, No. 1, 122-134 (2012). MSC: 76M10 76M20 76D05 PDFBibTeX XMLCite \textit{A. Hay} et al., Int. J. Numer. Methods Fluids 68, No. 1, 122--134 (2012; Zbl 1426.76267) Full Text: DOI
Girault, G.; Guevel, Y.; Cadou, J. M. An algorithm for the computation of multiple Hopf bifurcation points based on Padé approximants. (English) Zbl 1426.76263 Int. J. Numer. Methods Fluids 68, No. 9, 1189-1206 (2012). MSC: 76M10 76E99 76D05 PDFBibTeX XMLCite \textit{G. Girault} et al., Int. J. Numer. Methods Fluids 68, No. 9, 1189--1206 (2012; Zbl 1426.76263) Full Text: DOI
González, L.; Theofilis, V.; Sherwin, S. J. High-order methods for the numerical solution of the BiGlobal linear stability eigenvalue problem in complex geometries. (English) Zbl 1444.76069 Int. J. Numer. Methods Fluids 65, No. 8, 923-952 (2011). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{L. González} et al., Int. J. Numer. Methods Fluids 65, No. 8, 923--952 (2011; Zbl 1444.76069) Full Text: DOI Link
Chen, X.; Navon, I. M.; Fang, F. A dual-weighted trust-region adaptive POD 4D-VAR applied to a finite-element shallow-water equations model. (English) Zbl 1428.76145 Int. J. Numer. Methods Fluids 65, No. 5, 520-541 (2011). MSC: 76M21 76M10 35Q35 PDFBibTeX XMLCite \textit{X. Chen} et al., Int. J. Numer. Methods Fluids 65, No. 5, 520--541 (2011; Zbl 1428.76145) Full Text: DOI
Georgescu, Serban; Okuda, Hiroshi Conjugate gradients on multiple GPUs. (English) Zbl 1206.65131 Int. J. Numer. Methods Fluids 64, No. 10-12, 1254-1273 (2010). MSC: 65F10 65F35 65F50 PDFBibTeX XMLCite \textit{S. Georgescu} and \textit{H. Okuda}, Int. J. Numer. Methods Fluids 64, No. 10--12, 1254--1273 (2010; Zbl 1206.65131) Full Text: DOI
Boppana, V. B. L.; Gajjar, J. S. B. Global flow instability in a lid-driven cavity. (English) Zbl 1423.76135 Int. J. Numer. Methods Fluids 62, No. 8, 827-853 (2010). MSC: 76E99 76M20 76M22 PDFBibTeX XMLCite \textit{V. B. L. Boppana} and \textit{J. S. B. Gajjar}, Int. J. Numer. Methods Fluids 62, No. 8, 827--853 (2010; Zbl 1423.76135) Full Text: DOI Link
Schulze, J. C.; Schmid, P. J.; Sesterhenn, J. L. Exponential time integration using Krylov subspaces. (English) Zbl 1163.76038 Int. J. Numer. Methods Fluids 60, No. 6, 591-609 (2009). MSC: 76M20 76N15 65F10 PDFBibTeX XMLCite \textit{J. C. Schulze} et al., Int. J. Numer. Methods Fluids 60, No. 6, 591--609 (2009; Zbl 1163.76038) Full Text: DOI
Dwight, Richard P.; Brezillon, Joël Efficient and robust algorithms for solution of the adjoint compressible Navier-Stokes equations with applications. (English) Zbl 1161.76035 Int. J. Numer. Methods Fluids 60, No. 4, 365-389 (2009). MSC: 76M12 76N15 76N25 PDFBibTeX XMLCite \textit{R. P. Dwight} and \textit{J. Brezillon}, Int. J. Numer. Methods Fluids 60, No. 4, 365--389 (2009; Zbl 1161.76035) Full Text: DOI Link
Barkley, D.; Blackburn, H. M.; Sherwin, S. J. Direct optimal growth analysis for timesteppers. (English) Zbl 1144.76044 Int. J. Numer. Methods Fluids 57, No. 9, 1435-1458 (2008). MSC: 76M25 76D05 65F15 65F10 PDFBibTeX XMLCite \textit{D. Barkley} et al., Int. J. Numer. Methods Fluids 57, No. 9, 1435--1458 (2008; Zbl 1144.76044) Full Text: DOI
Sensiau, C.; Nicoud, F.; van Gijzen, M.; van Leeuwen, J. W. A comparison of solvers for quadratic eigenvalue problems from combustion. (English) Zbl 1135.65020 Int. J. Numer. Methods Fluids 56, No. 8, 1481-1487 (2008). MSC: 65F15 PDFBibTeX XMLCite \textit{C. Sensiau} et al., Int. J. Numer. Methods Fluids 56, No. 8, 1481--1487 (2008; Zbl 1135.65020) Full Text: DOI
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
Gelfgat, Alexander Y. Three-dimensional instability of axisymmetric flows: solution of benchmark problems by a low-order finite volume method. (English) Zbl 1306.76028 Int. J. Numer. Methods Fluids 54, No. 3, 269-294 (2007). MSC: 76M12 76E06 76E07 PDFBibTeX XMLCite \textit{A. Y. Gelfgat}, Int. J. Numer. Methods Fluids 54, No. 3, 269--294 (2007; Zbl 1306.76028) Full Text: DOI
Daescu, D. N.; Navon, I. M. Efficiency of a POD-based reduced second-order adjoint model in 4D-var data assimilation. (English) Zbl 1370.76122 Int. J. Numer. Methods Fluids 53, No. 6, 985-1004 (2007). MSC: 76M25 76-05 PDFBibTeX XMLCite \textit{D. N. Daescu} and \textit{I. M. Navon}, Int. J. Numer. Methods Fluids 53, No. 6, 985--1004 (2007; Zbl 1370.76122) Full Text: DOI
Gelfgat, Alexander Yu. Stability of convective flows in cavities: Solution of benchmark problems by a low-order finite volume method. (English) Zbl 1235.76082 Int. J. Numer. Methods Fluids 53, No. 3, 485-506 (2007). MSC: 76M12 76E06 PDFBibTeX XMLCite \textit{A. Yu. Gelfgat}, Int. J. Numer. Methods Fluids 53, No. 3, 485--506 (2007; Zbl 1235.76082) Full Text: DOI
Bae, Sun Hyuk; Kim, Do Hyun Computational study of the axial instability of rimming flow using Arnoldi method. (English) Zbl 1109.76022 Int. J. Numer. Methods Fluids 53, No. 4, 691-711 (2007). MSC: 76E07 76M10 76D05 PDFBibTeX XMLCite \textit{S. H. Bae} and \textit{D. H. Kim}, Int. J. Numer. Methods Fluids 53, No. 4, 691--711 (2007; Zbl 1109.76022) Full Text: DOI
Fiétier, N. Detecting instabilities in flows of viscoelastic fluids. (English) Zbl 1055.76016 Int. J. Numer. Methods Fluids 42, No. 12, 1345-1361 (2003). MSC: 76E05 76A10 76M22 76M20 PDFBibTeX XMLCite \textit{N. Fiétier}, Int. J. Numer. Methods Fluids 42, No. 12, 1345--1361 (2003; Zbl 1055.76016) Full Text: DOI
Salinger, Andrew G.; Lehoucq, Richard B.; Pawlowski, Roger P.; Shadid, John N. Computational bifurcation and stability studies of the 8:1 thermal cavity problem. (English) Zbl 1047.76053 Int. J. Numer. Methods Fluids 40, No. 8, 1059-1073 (2002). MSC: 76M10 76E06 80A20 PDFBibTeX XMLCite \textit{A. G. Salinger} et al., Int. J. Numer. Methods Fluids 40, No. 8, 1059--1073 (2002; Zbl 1047.76053) Full Text: DOI
Heggelund, Yngve; Berntsen, Jarle A method for analysing nesting techniques for the linearized shallow water equations. (English) Zbl 1009.76064 Int. J. Numer. Methods Fluids 38, No. 2, 163-185 (2002). MSC: 76M20 76B15 65M12 PDFBibTeX XMLCite \textit{Y. Heggelund} and \textit{J. Berntsen}, Int. J. Numer. Methods Fluids 38, No. 2, 163--185 (2002; Zbl 1009.76064) Full Text: DOI
Gadoin, E.; Le Quéré, P.; Daube, O. A general methodology for investigating flow instabilities in complex geometries: Application to natural convection in enclosures. (English) Zbl 1039.76044 Int. J. Numer. Methods Fluids 37, No. 2, 175-208 (2001). MSC: 76M20 76E06 76R10 PDFBibTeX XMLCite \textit{E. Gadoin} et al., Int. J. Numer. Methods Fluids 37, No. 2, 175--208 (2001; Zbl 1039.76044) Full Text: DOI
Lehoucq, Richard B.; Salinger, Andrew G. Large-scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers. (English) Zbl 1037.76036 Int. J. Numer. Methods Fluids 36, No. 3, 309-327 (2001). Reviewer: Willi Schönauer (Karlsruhe) MSC: 76M10 76E05 65Y05 76D05 76U05 80A20 PDFBibTeX XMLCite \textit{R. B. Lehoucq} and \textit{A. G. Salinger}, Int. J. Numer. Methods Fluids 36, No. 3, 309--327 (2001; Zbl 1037.76036) Full Text: DOI Link