Stuart, Andrew M. Uncertainty quantification in Bayesian inversion. (English) Zbl 1373.35341 Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. IV: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-807-0/hbk; 978-89-6105-803-2/set). 1145-1162 (2014). MSC: 35R30 62C10 PDFBibTeX XMLCite \textit{A. M. Stuart}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. IV: Invited lectures. Seoul: KM Kyung Moon Sa. 1145--1162 (2014; Zbl 1373.35341)
Stuart, A. M. Inverse problems: a Bayesian perspective. (English) Zbl 1242.65142 Acta Numerica 19, 451-559 (2010). MSC: 65L09 34A55 65C05 65C40 65L05 34A34 PDFBibTeX XMLCite \textit{A. M. Stuart}, Acta Numerica 19, 451--559 (2010; Zbl 1242.65142) Full Text: DOI
Stuart, A. M. Probabilistic and deterministic convergence proofs for software for initial value problems. (English) Zbl 0884.65068 Numer. Algorithms 14, No. 1-3, 227-260 (1997). Reviewer: I.Coroian (Baia Mare) MSC: 65L05 37-XX 65L06 65L20 PDFBibTeX XMLCite \textit{A. M. Stuart}, Numer. Algorithms 14, No. 1--3, 227--260 (1997; Zbl 0884.65068) Full Text: DOI
Stuart, Andrew Convergence and stability in the numerical approximation of dynamical systems. (English) Zbl 0884.65069 Duff, I. S. (ed.) et al., The state of the art in numerical analysis. Based on the proceedings of a conference organized by the Institute of Mathematics and its Applications (IMA), University of York, York, GB, April 1–4, 1996. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 63, 145-169 (1997). Reviewer: T.E.Simos (Xanthi) MSC: 65L05 37-XX 34A34 65L06 65L20 PDFBibTeX XMLCite \textit{A. Stuart}, Inst. Math. Appl. Conf. Ser., New Ser. 63, 145--169 (1997; Zbl 0884.65069)
Stuart, Andrew Perturbation theory for infinite dimensional dynamical systems. (English) Zbl 0847.34070 Ainsworth, M. (ed.) et al., Advances in numerical analysis. Vol. IV. Theory and numerics of ordinary and partial differential equations. Proceedings of the sixth SERC summer school in numerical analysis, Leicester, UK, July 18-29, 1994. Oxford: Clarendon Press. Oxford Science Publications. 181-290 (1995). Reviewer: R.Nagel (Tübingen) MSC: 34G20 34E10 34E15 47H20 PDFBibTeX XMLCite \textit{A. Stuart}, in: Advances in numerical analysis. Vol. IV. Theory and numerics of ordinary and partial differential equations. Proceedings of the sixth SERC summer school in numerical analysis, Leicester, UK, July 18-29, 1994. Oxford: Clarendon Press. 181--290 (1995; Zbl 0847.34070)
Stuart, Andrew M. Numerical analysis of dynamical systems. (English) Zbl 0809.65076 Iserles, A. (ed.), Acta Numerica 1994. Cambridge: Cambridge University Press. 467-572 (1994). Reviewer: Yu Wenhuan (Tianjin) MSC: 65L05 65L12 37-XX 34C25 34D99 PDFBibTeX XMLCite \textit{A. M. Stuart}, Acta Numerica 1994, 467--572 (1994; Zbl 0809.65076)
Stuart, Andrew Singular limits in free boundary problems. (English) Zbl 0732.35108 Rocky Mt. J. Math. 21, No. 2, 809-811 (1991). MSC: 35R35 35P20 35B32 35R05 PDFBibTeX XMLCite \textit{A. Stuart}, Rocky Mt. J. Math. 21, No. 2, 809--811 (1991; Zbl 0732.35108) Full Text: DOI
Stuart, Andrew Corrections to: “Singular limits in free boundary problems”. (English) Zbl 0793.35135 Rocky Mt. J. Math. 21, No. 3, 1172 (1991). MSC: 35R35 35P20 35B32 35R05 PDFBibTeX XMLCite \textit{A. Stuart}, Rocky Mt. J. Math. 21, No. 3, 1172 (1991; Zbl 0793.35135) Full Text: DOI
Stuart, Andrew The global attractor under discretisation. (English) Zbl 0721.58032 Continuation and bifurcations: Numerical techniques and applications, Proc. NATO Adv. Res. Workshop, Leuven/Belg. 1989, NATO ASI Ser., Ser. C 313, 211-225 (1990). Reviewer: M.Mrozek (Kraków) MSC: 37C70 65L99 PDFBibTeX XML
Stuart, Andrew A note on high/low-wave-number interactions in spatially discrete parabolic equations. (English) Zbl 0686.65057 IMA J. Appl. Math. 42, No. 1, 27-42 (1989). Reviewer: A.Stuart MSC: 65M12 35K57 PDFBibTeX XMLCite \textit{A. Stuart}, IMA J. Appl. Math. 42, No. 1, 27--42 (1989; Zbl 0686.65057) Full Text: DOI Link
Stuart, Andrew Linear instability implies spurious periodic solutions. (English) Zbl 0685.65088 IMA J. Numer. Anal. 9, No. 4, 465-486 (1989). Reviewer: E.Lanckau MSC: 65N12 35B25 35B32 35K57 PDFBibTeX XMLCite \textit{A. Stuart}, IMA J. Numer. Anal. 9, No. 4, 465--486 (1989; Zbl 0685.65088) Full Text: DOI Link
Stuart, A. M. Singular free boundary problems and local bifurcation theory. (English) Zbl 0684.34021 SIAM J. Appl. Math. 49, No. 1, 72-85 (1989). Reviewer: P.S.Milojevic MSC: 34B15 34A99 35B32 35R35 PDFBibTeX XMLCite \textit{A. M. Stuart}, SIAM J. Appl. Math. 49, No. 1, 72--85 (1989; Zbl 0684.34021) Full Text: DOI Link
Stuart, Andrew Nonlinear instability in dissipative finite difference schemes. (English) Zbl 0675.65099 SIAM Rev. 31, No. 2, 191-220 (1989). Reviewer: P.Kloucek MSC: 65N12 35K57 PDFBibTeX XMLCite \textit{A. Stuart}, SIAM Rev. 31, No. 2, 191--220 (1989; Zbl 0675.65099) Full Text: DOI Link
Stuart, Andrew Similarity solutions of a heat equation with nonlinearly varying heat capacity. (English) Zbl 0679.35048 IMA J. Appl. Math. 40, No. 3, 217-234 (1988). Reviewer: J.Hainzl MSC: 35K57 65M99 35K45 35K50 80A25 35K55 PDFBibTeX XMLCite \textit{A. Stuart}, IMA J. Appl. Math. 40, No. 3, 217--234 (1988; Zbl 0679.35048) Full Text: DOI Link
Stuart, A. M. The mathematics of porous medium combustion. (English) Zbl 0659.35008 Nonlinear diffusion equations and their equilibrium states II, Proc. Microprogram, Berkeley/Calif. 1986, Publ., Math. Sci. Res. Inst. 13, 295-313 (1988). MSC: 35B32 35B40 76S05 80A25 PDFBibTeX XML
Stuart, A. M. Existence of solutions of two-point free-boundary problem arising in the theory of porous medium combustion. (English) Zbl 0642.34010 IMA J. Appl. Math. 38, 23-34 (1987). Reviewer: P.Chocholatý MSC: 34B10 PDFBibTeX XMLCite \textit{A. M. Stuart}, IMA J. Appl. Math. 38, 23--34 (1987; Zbl 0642.34010) Full Text: DOI