Antil, Harbir; Heinkenschloss, Matthias; Sorensen, Danny C. Application of the discrete empirical interpolation method to reduced order modeling of nonlinear and parametric systems. (English) Zbl 1312.65180 Quarteroni, Alfio (ed.) et al., Reduced order methods for modeling and computational reduction. Cham: Springer (ISBN 978-3-319-02089-1/hbk; 978-3-319-02090-7/ebook). MS&A. Modeling, Simulation and Applications 9, 101-136 (2014). MSC: 65N30 35J61 PDFBibTeX XMLCite \textit{H. Antil} et al., MS\&A, Model. Simul. Appl. 9, 101--136 (2014; Zbl 1312.65180) Full Text: DOI
Wirtz, D.; Sorensen, D. C.; Haasdonk, B. A posteriori error estimation for DEIM reduced nonlinear dynamical systems. (English) Zbl 1312.65127 SIAM J. Sci. Comput. 36, No. 2, 311-338 (2014). Reviewer: Qasem Al-Mdallal (Al-Ain) MSC: 65L70 65L05 34A34 65M15 35K57 PDFBibTeX XMLCite \textit{D. Wirtz} et al., SIAM J. Sci. Comput. 36, No. 2, 311--338 (2014; Zbl 1312.65127) Full Text: DOI Link
Caboussat, Alexandre; Glowinski, Roland; Sorensen, Danny C. A least-squares method for the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in dimension two. (English) Zbl 1272.65089 ESAIM, Control Optim. Calc. Var. 19, No. 3, 780-810 (2013). MSC: 65N30 35J96 65N12 PDFBibTeX XMLCite \textit{A. Caboussat} et al., ESAIM, Control Optim. Calc. Var. 19, No. 3, 780--810 (2013; Zbl 1272.65089) Full Text: DOI
Chaturantabut, Saifon; Sorensen, Danny C. Nonlinear model reduction via discrete empirical interpolation. (English) Zbl 1217.65169 SIAM J. Sci. Comput. 32, No. 5, 2737-2764 (2010). MSC: 65M06 35K55 65L05 65Y20 PDFBibTeX XMLCite \textit{S. Chaturantabut} and \textit{D. C. Sorensen}, SIAM J. Sci. Comput. 32, No. 5, 2737--2764 (2010; Zbl 1217.65169) Full Text: DOI Link
Sorensen, Danny C.; Glowinski, Roland A quadratically constrained minimization problem arising from PDE of Monge-Ampère type. (English) Zbl 1187.65073 Numer. Algorithms 53, No. 1, 53-66 (2010). Reviewer: Bülent Karasözen (Ankara) MSC: 65K10 35J96 65N25 35P15 49J20 49M25 PDFBibTeX XMLCite \textit{D. C. Sorensen} and \textit{R. Glowinski}, Numer. Algorithms 53, No. 1, 53--66 (2010; Zbl 1187.65073) Full Text: DOI
Sun, K.; Glowinski, R.; Heinkenschloss, M.; Sorensen, D. C. Domain decomposition and model reduction of systems with local nonlinearities. (English) Zbl 1157.65445 Kunisch, Karl (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10–14, 2007. Berlin: Springer (ISBN 978-3-540-69776-3/hbk). 389-396 (2008). MSC: 65M55 35K55 65M15 65M60 PDFBibTeX XMLCite \textit{K. Sun} et al., in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2007, the 7th European conference on numerical mathematics and advanced applications, Graz, Austria, September 10--14, 2007. Berlin: Springer. 389--396 (2008; Zbl 1157.65445) Full Text: DOI
Glowinski, Roland; Sorensen, Danny C. Computing the eigenvalues of the Laplace-Beltrami operator on the surface of a torus: a numerical approach. (English) Zbl 1152.65477 Glowinski, Roland (ed.) et al., Partial differential equations. Modelling and numerical simulation. Some papers based on the presentations at the international conference, Helsinki, Finland, fall 2005. Dordrecht: Springer (ISBN 978-1-4020-8757-8/hbk). Computational Methods in Applied Sciences (Springer) 16, 225-232 (2008). MSC: 65N25 65N06 35P15 PDFBibTeX XMLCite \textit{R. Glowinski} and \textit{D. C. Sorensen}, in: Partial differential equations. Modelling and numerical simulation. Some papers based on the presentations at the international conference, Helsinki, Finland, fall 2005. Dordrecht: Springer. 225--232 (2008; Zbl 1152.65477)
Klouček, Petr; Sorensen, Danny C.; Wightman, Jennifer L. The approximation and computation of a basis of the trace space \(H^{1/2}\). (English) Zbl 1122.65119 J. Sci. Comput. 32, No. 1, 73-108 (2007). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 35J25 65N30 PDFBibTeX XMLCite \textit{P. Klouček} et al., J. Sci. Comput. 32, No. 1, 73--108 (2007; Zbl 1122.65119) Full Text: DOI
Wu, Xudong T.; Korombath, Prakashan P.; Hayes, Edward F.; Sorensen, Danny C. Computation of rovibrational eigenvalues of van der Waals molecules on a CRAY T3D. (English) Zbl 0894.65053 J. Comput. Phys. 138, No. 2, 286-301 (1997). Reviewer: W.Heinrichs (Essen) MSC: 65N25 65Y05 82D15 81V55 35P15 35Q72 35Q40 PDFBibTeX XMLCite \textit{X. T. Wu} et al., J. Comput. Phys. 138, No. 2, 286--301 (1997; Zbl 0894.65053) Full Text: DOI
Pendergast, Phil; Darakjian, Zareh; Hayes, Edward F.; Sorensen, Danny C. Scalable algorithms for three-dimensional reactive scattering: Evaluation of a new algorithm for obtaining surface functions. (English) Zbl 0804.65117 J. Comput. Phys. 113, No. 2, 201-214 (1994). MSC: 65Z05 65F15 81U10 35Q40 PDFBibTeX XMLCite \textit{P. Pendergast} et al., J. Comput. Phys. 113, No. 2, 201--214 (1994; Zbl 0804.65117) Full Text: DOI
Scroggs, Jeffrey S.; Sorensen, Danny C. An asymptotic induced numerical method for the convection-diffusion- reaction equation. (English) Zbl 0676.65102 Mathematics for large scale computing, Lect. Notes Pure Appl. Math. 120, 81-114 (1989). Reviewer: Hou Zongyi MSC: 65N22 65Y05 65H10 35K57 PDFBibTeX XML