Lemoine, Jérôme; Münch, Arnaud Constructive exact control of semilinear 1D heat equations. (English) Zbl 1517.35126 Math. Control Relat. Fields 13, No. 1, 382-414 (2023). MSC: 35K58 35K20 93B05 93E24 49M15 PDFBibTeX XMLCite \textit{J. Lemoine} and \textit{A. Münch}, Math. Control Relat. Fields 13, No. 1, 382--414 (2023; Zbl 1517.35126) Full Text: DOI arXiv
Lemoine, Jérôme; Münch, Arnaud A fully space-time least-squares method for the unsteady Navier-Stokes system. (English) Zbl 1475.76073 J. Math. Fluid Mech. 23, No. 4, Paper No. 102, 38 p. (2021). MSC: 76M99 76D05 76M30 65M12 PDFBibTeX XMLCite \textit{J. Lemoine} and \textit{A. Münch}, J. Math. Fluid Mech. 23, No. 4, Paper No. 102, 38 p. (2021; Zbl 1475.76073) Full Text: DOI arXiv
Lemoine, Jérôme; Marín-Gayte, Irene; Münch, Arnaud Approximation of null controls for semilinear heat equations using a least-squares approach. (English) Zbl 1468.35086 ESAIM, Control Optim. Calc. Var. 27, Paper No. 63, 28 p. (2021). MSC: 35K58 35K20 35Q93 93B05 93E24 PDFBibTeX XMLCite \textit{J. Lemoine} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. 63, 28 p. (2021; Zbl 1468.35086) Full Text: DOI arXiv
Lemoine, Jérôme; Münch, Arnaud Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method. (English) Zbl 1459.35312 Numer. Math. 147, No. 2, 349-391 (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 65M06 65N30 65K10 49M15 76D05 PDFBibTeX XMLCite \textit{J. Lemoine} and \textit{A. Münch}, Numer. Math. 147, No. 2, 349--391 (2021; Zbl 1459.35312) Full Text: DOI
Hanke, Michael; März, Roswitha Convergence analysis of least-squares collocation methods for nonlinear higher-index differential-algebraic equations. (English) Zbl 1458.65104 J. Comput. Appl. Math. 387, Article ID 112514, 20 p. (2021). MSC: 65L80 34A09 65L60 PDFBibTeX XMLCite \textit{M. Hanke} and \textit{R. März}, J. Comput. Appl. Math. 387, Article ID 112514, 20 p. (2021; Zbl 1458.65104) Full Text: DOI arXiv
Bock, Hans Georg; Gutekunst, Jürgen; Potschka, Andreas; Garcés, María Elena Suaréz A flow perspective on nonlinear least-squares problems. (English) Zbl 1470.65117 Vietnam J. Math. 48, No. 4, 987-1003 (2020). MSC: 65K05 PDFBibTeX XMLCite \textit{H. G. Bock} et al., Vietnam J. Math. 48, No. 4, 987--1003 (2020; Zbl 1470.65117) Full Text: DOI
Stevenson, Rob Adaptive wavelet methods for linear and nonlinear least-squares problems. (English) Zbl 1303.65043 Found. Comput. Math. 14, No. 2, 237-283 (2014). Reviewer: Manfred Tasche (Rostock) MSC: 65J15 65N30 65N12 65T60 47J25 35J60 PDFBibTeX XMLCite \textit{R. Stevenson}, Found. Comput. Math. 14, No. 2, 237--283 (2014; Zbl 1303.65043) Full Text: DOI
Lampe, Jörg; Voss, Heinrich Large-scale Tikhonov regularization of total least squares. (English) Zbl 1254.65052 J. Comput. Appl. Math. 238, 95-108 (2013). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{J. Lampe} and \textit{H. Voss}, J. Comput. Appl. Math. 238, 95--108 (2013; Zbl 1254.65052) Full Text: DOI
Campbell, Stephen L.; Kunkel, Peter; Bobinyec, Karen A minimal norm corrected underdetermined Gauß-Newton procedure. (English) Zbl 1245.65106 Appl. Numer. Math. 62, No. 5, 592-605 (2012). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 65L80 65H10 PDFBibTeX XMLCite \textit{S. L. Campbell} et al., Appl. Numer. Math. 62, No. 5, 592--605 (2012; Zbl 1245.65106) Full Text: DOI
Deuflhard, Peter Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Softcover reprint of the 2006 2nd corrected printing. (English) Zbl 1226.65043 Springer Series in Computational Mathematics 35. Berlin: Springer (ISBN 978-3-642-23898-7/pbk; 978-3-642-23899-4/ebook). xii, 424 p. (2011). MSC: 65H10 65-02 65L05 65L10 65N30 65J15 47J25 34A34 34B15 35J65 PDFBibTeX XMLCite \textit{P. Deuflhard}, Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Softcover reprint of the 2006 2nd corrected printing. Berlin: Springer (2011; Zbl 1226.65043) Full Text: DOI
Lei, Jing; Liu, Shi; Li, Zhihong; Sun, Meng; Wang, Xueyao A multi-scale image reconstruction algorithm for electrical capacitance tomography. (English) Zbl 1219.78124 Appl. Math. Modelling 35, No. 6, 2585-2606 (2011). MSC: 78A70 94A08 94-04 35J25 35R30 65J20 65T60 94A11 PDFBibTeX XMLCite \textit{J. Lei} et al., Appl. Math. Modelling 35, No. 6, 2585--2606 (2011; Zbl 1219.78124) Full Text: DOI
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Sanders, G. D. Nested iteration and first-order system least squares for incompressible, resistive magnetohydrodynamics. (English) Zbl 1410.76321 SIAM J. Sci. Comput. 32, No. 3, 1506-1526 (2010). MSC: 76M25 65F10 65M55 76W05 PDFBibTeX XMLCite \textit{J. H. Adler} et al., SIAM J. Sci. Comput. 32, No. 3, 1506--1526 (2010; Zbl 1410.76321) Full Text: DOI
Simonsson, Lennart; Eldén, Lars Grassmann algorithms for low rank approximation of matrices with missing values. (English) Zbl 1186.65050 BIT 50, No. 1, 173-191 (2010). MSC: 65F20 15A83 PDFBibTeX XMLCite \textit{L. Simonsson} and \textit{L. Eldén}, BIT 50, No. 1, 173--191 (2010; Zbl 1186.65050) Full Text: DOI Link
Haelterman, Rob; Degroote, Joris; van Heule, Dirk; Vierendeels, Jan The quasi-Newton least squares method: A new and fast secant method analyzed for linear systems. (English) Zbl 1197.65041 SIAM J. Numer. Anal. 47, No. 3, 2347-2368 (2009). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F20 65F10 PDFBibTeX XMLCite \textit{R. Haelterman} et al., SIAM J. Numer. Anal. 47, No. 3, 2347--2368 (2009; Zbl 1197.65041) Full Text: DOI
Foss, F. J. II; Glowinski, R.; Hoppe, R. H. W. On the numerical solution of a semilinear elliptic eigenproblem of Lane-Emden type. II. Numerical experiments. (English) Zbl 1153.65370 J. Numer. Math. 15, No. 4, 277-298 (2007). MSC: 65N30 PDFBibTeX XMLCite \textit{F. J. Foss II} et al., J. Numer. Math. 15, No. 4, 277--298 (2007; Zbl 1153.65370) Full Text: DOI
Nowak, U.; Grah, A.; Schreier, M. Parameter estimation and accuracy matching strategies for 2-D reactor models. (English) Zbl 1081.80008 J. Comput. Appl. Math. 183, No. 2, 301-311 (2005). Reviewer: Vladimir Sládek (Bratislava) MSC: 80A32 65N40 65L06 65H10 92E20 PDFBibTeX XMLCite \textit{U. Nowak} et al., J. Comput. Appl. Math. 183, No. 2, 301--311 (2005; Zbl 1081.80008) Full Text: DOI
Deuflhard, Peter Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. (English) Zbl 1056.65051 Springer Series in Computational Mathematics 35. Berlin: Springer (ISBN 3-540-21099-7/hbk). xii, 424 p. (2004). Reviewer: W. C. Rheinboldt (Pittsburgh) MSC: 65H10 65-02 65L05 65L10 65N30 65J15 47J25 34A34 34B15 35J65 PDFBibTeX XMLCite \textit{P. Deuflhard}, Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Berlin: Springer (2004; Zbl 1056.65051)
Deuflhard, Peter; Hohmann, Andreas Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. (English) Zbl 1025.65001 Texts in Applied Mathematics. 43. New York, NY: Springer. xviii, 337 p. (2003). Reviewer: Robert Plato (Berlin) MSC: 65-01 65Q05 65G50 65Dxx 65Hxx 62J05 65C30 65T50 65Fxx 65Y20 PDFBibTeX XMLCite \textit{P. Deuflhard} and \textit{A. Hohmann}, Numerical analysis in modern scientific computing. An introduction. 2nd revised ed. New York, NY: Springer (2003; Zbl 1025.65001)
Abdulle, Assyr; Wanner, G. 200 years of least squares method. (English) Zbl 1003.01008 Elem. Math. 57, No. 2, 45-60 (2002). Reviewer: O.B.Cheinine (Berlin) MSC: 01A55 01A60 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{G. Wanner}, Elem. Math. 57, No. 2, 45--60 (2002; Zbl 1003.01008) Full Text: DOI