Publications

Annual Reviews and Book Chapters

2016

[22c] P.Buhlmann and A.M. Stuart. Mathematics, Statistics and Data Science. EMS Newsletter 100, June 2016, pages 28--30.
[Publisher] [pdf] [BibTeX]

2015

[21c] S.Reich and A.M. Stuart. Data Assimilation: New Challenges in Random and Stochastic Dynamical Systems. SIAM News, October and November 2015.
[Publisher] [pdf] [BibTeX]

[20c] M. Dashti and A.M.Stuart. The Bayesian Approach to Inverse Problems. Handbook of Uncertainty Quantification, Editors R. Ghanem, D. Higdon and H. Owhadi, Springer, 2015.
[Publisher] [pdf] [BibTeX]

2014

[19c] M. Iglesias and A.M. Stuart. Inverse Problems and Uncerrainty Quantification. SIAM News, July/August 2014.
[Publisher] [pdf] [pdf_chinese] [BibTeX]

2011

[18c] G.A.Pavliotis, Y. Pokern and A.M.Stuart. Parameter estimation for multiscale diffusions: an overview. SEMSTAT Proceedings 2007.
[Publisher] [pdf] [BibTeX]

[17c] J. Nolen, G.A.Pavliotis and A.M. Stuart. Multiscale modelling and inverse problems. Numerical Analysis of Multiscale Problems, Lecture Notes in Computational Science and Engineering, Vol. 83, editors I. G. Graham, Th. Y. Hou, O. Lakkis, R. Scheichl.
[Publisher] [pdf] [BibTeX]

[16c] M. Hairer, A.M. Stuart and J. Voss, Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods. The Oxford Handbook of Nonlinear Filtering, editors D. Crisan and B. Rozovsky, Oxford University Press.
[Publisher] [pdf] [BibTeX]

2010

[15c] A.M. Stuart. Inverse problems: a Bayesian perspective. Acta Numerica 19(2010).
[Publisher] [pdf] [BibTeX]

2009

[14c] D. White and A.M. Stuart, Greens functions by Monte Carlo. Appears in Monte Carlo and Quasi-Monte Carlo Methods 2008, editors P. L'Ecuyer and A.B. Owen. Springer (2009).
[Publisher] [pdf] [BibTeX]

[13c] A. Beskos and A.M. Stuart, Computational complexity of Metropolis-Hastings methods in high dimensions. Appears in Monte Carlo and Quasi-Monte Carlo Methods 2008, editors P. L'Ecuyer and A.B. Owen. Springer (2009).
[Publisher] [pdf] [BibTeX]

2008

[12c] A. Beskos and A.M. Stuart, MCMC methods for sampling function space. Appears in ICIAM Invited Lectures 2007, editors R. Jeltsch and G. Wanner. European Mathematical Society (2008).
[Publisher] [pdf] [BibTeX]

[11c] M. Hairer, A.M. Stuart and J. Voss, Sampling conditioned diffusions. Appears in Trends in Stochastic Analysis, LMS Lecture Notes 353, editors J. Blath, P. Mörters and M. Scheutzow. Cambridge University Press (2008)
[Publisher] [pdf] [BibTeX]

2006

[10c] G.A. Pavliotis, A.M. Stuart and L. Band, Monte Carlo studies of effective diffusivities for inertial particles. Appears in Monte Carlo and Quasi-Monte Carlo Methods 2004, editors H. Niederreiter and D. Talay. Springer-Verlag Berlin, Heidelberg (2006) 431-441.
[Publisher] [pdf] [BibTeX]

2002

[9c] A.R. Humphries and A.M. Stuart, Numerical Analysis of Deterministic and Random Dynamical Systems. Appears in Modern Methods in Scientific Computing and Applications, editors A. Bourlioux and M.J. Gander. NATO Science Series II volume 75. Springer (2002).
[Publisher] [pdf] [BibTeX]

2001

[8c] H. Sigurgeirsson and A.M. Stuart, Statistics from computations. Appears in Foundations of Computational Mathematics, LMS Lecture Note Series 284, editors R.A. DeVore, A. Iserles and E. Suli. Cambridge University Press (2001).
[Publisher] [pdf] [BibTeX]

1999

[7c] H. Lamba and A.M. Stuart, Convergence proofs for numerical software. Appears in Dynamics of Algorithms, IMA Volumes in Mathematics and its Applications 118, editors R. de la Llave, L. Petzold and J. Lorenz. Springer (1999).
[pdf] [BibTeX]

1996

[6c] A.M. Stuart, Convergence and stability in the numerical approximation of dynamical systems. Appears in The State of the Art in Numerical Analysis 1996, editors I.A. Duff and G.A. Watson. Oxford University Press (1996).
[pdf] [BibTeX]

1995

[5c] A.M. Stuart, Perturbation theory for infinite dimensional dynamical systems. Appears in Advances in Numerical Analysis, editors M. Ainsworth, J. Levesley, M. Marletta and W.A. Light. Oxford University Press (1995).
[pdf] [BibTeX]

1994

[4c] A.M. Stuart, Numerical Analysis of Dynamical Systems. Acta Numerica 1994. Cambridge University Press, Cambridge (1994) 467-572.
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[3c] A. R. Humphries, D.A Jones and A.M. Stuart, Approximation of dissipative partial differential equations over long time intervals. Appears in Numerical Analysis 1993, editors G.A. Watson and D.F. Griffiths. Longman (1994).
[pdf] [BibTeX]

1990

[2c] A. M. Stuart, The global attractor under discretisation. Appears in Continuation and Bifurcations: Numerical Techniques and Applications, editors D. Roose, B. de Bier and A. Spence. NATO ASI Series, Kluwer, Dordecht, (1990).
[Publisher] [pdf] [BibTeX]

1988

[1c] A. M. Stuart, The Mathematics of Porous Medium Combustion. Appears in Nonlinear Diffusion Equations and Their Equilibrium States, editors W.-M. Ni and J. Serrin. Springer, New York (1988).
[Publisher] [pdf] [BibTeX]