BibTeX entries

@unpublished{CDSS17
author = "D.Calvetti and M.M.Dunlop and E.Somersalo and A.M.Stuart",
title = "Iterative Updating of Model Error for Bayesian Inversion",
note = "submitted",
}

@unpublished{DEHS17
author = "M.M.Dunlop and C.M.Elliott and V.H.Hoang and A.M. Stuart",
title = "Bayesian Formulations of Multidimensional Barcode Inversion",
note = "submitted",
}


@unpublished{SS17a
author = "C.Schillings and A.M. Stuart",
title = "Convergence Analysis of the Ensemble Kalman Filter for Inverse Problems: the Noisy Case",
note = "submitted",
}


@unpublished{BLSZ17
author = "A.L.Bertozzi and X.Luo and A.M.Stuart and K.C.Zygalakis",
title = "Uncertainty Quantification in the Classification of High Dimensional Data",
note = "submitted",
}


@unpublished{LSS17
author = "H.C.Lie and A.M. Stuart and T.J.Sullivan",
title = "Strong convergence rates of probabilistic integrators for ordinary differential equations",
note = "submitted",
}


@unpublished{LSW16
author = "Y. Lu and A.M. Stuart and H. Weber",
title = "Gaussian Approximations for Probability Measures on Rd",
note = "submitted",
}


@unpublished{KS16
author = "D. Kellyand A.M. Stuart",
title = "Ergodicity and Accuracy of Optimal Particle Filters for Bayesian Data Assimilation",
note = "submitted",
}


@unpublished{KOS16
author = "J. Kuntz and M. Ottobre and A.M. Stuart",
title = "Non-stationary phase of the MALA algorithm",
note = "submitted",
}


@unpublished{SS16
author = "D. Sanz-Alonso and A.M. Stuart",
title = "Gaussian approximations of small noise diffusions in Kullback-Leibler divergence",
note = "submitted",
}


@unpublished{LSW16
author = "Y. Lu and A.M. Stuart and H. Weber",
title = "Gaussian approximations for transition paths in molecular dynamics.",
note = "Submitted",
}


@unpublished{ST16
author = "A.M.Stuart and A.L.Teckentrup",
title = "Posterior consistency for Gaussian process approximations of Bayesian posterior distributions.",
note = "Submitted",
}


@unpublished{BHS16
author = "C.-E. Brehier and M. Hairer and A.M.Stuart",
title = "Weak error estimates for trajectories of SPDEs under spectral Galerkin discretization.",
note = "Submitted",
}


@unpublished{ILLS15
author = "M.A. Iglesias and K. Lin and S. Lu and A.M. Stuart",
title = "Filter based methods for statistical linear inverse problems",
note = "Submitted",
}


@unpublished{APSS15
author = "S. Agapiou and O. Papaspiliopoulos and D. Sanz-Alonso and A. M. Stuart",
title = "Importance sampling: computational complexity and intrinsic dimension",
note = "Submitted",
}


@unpublished{OS14
author = "M. Ottobre and A.M. Stuart",
title = "Diffusion limit for the random walk Metropolis algorithm out of stationarity",
note = "Submitted",
}


@unpublished{DLSZ12,
author = "D. Bloemker and K.J.H. Law and A.M. Stuart and K. Zygalalkis",
title = "Accuracy and stability of the continuous-time 3DVAR filter for the Navier-Stokes equation",
note = "Submitted",
arXiv = " arXiv:1210.1594",
}


@unpublished{PST11,
author = "N.S.Pillai and A.M. Stuart and A.H.Thiery",
title = "Gradient Flow from a random walk in Hilbert space",
note = "Submitted",
arXiv = "arXiv:1108.1494",
}


@unpublished{BPRSS10a,
author = "A. Beskos and N. Pillai and G.O. Roberts and J.-M. Sanz-Serna and A.M. Stuart",
title = "Optimal tuning of hybrid Monte-Carlo",
journal = "Bernoulli",
note = "to appear",
arXiv = "arXiv:1001.4460",
}


[131]
@article{SS17
author = "C.Schillings and A.M.Stuart",
title = "Analysis of the ensemble Kalman filter for inverse problems.",
journal = "SINUM",
year = "2017",
volume = "55",
issue = "3",
pages = "1264-1290",
DOI - "10.1137/16M105959X", }


[130]
@article{BGLFS17
author = "A. Beskos and M. Girolami and S. Lan and P.E. Farrell and A.M. Stuart",
title = "Geometric MCMC for Infinite-Dimensional Inverse Problems",
journal = "Journal of Computational Physics",
year = "2017",
volume = "335",
pages = "327-351",
}


[129]
@article{SST17
author = "R.Scheichl and A.M.Stuart and A.L.Teckentrup",
title = "Quasi Monte-Carlo and multi-level Monte Carlo for computing posterior expectations in elliptic inverse problems.",
journal = "JUQ",
year = "2017",
volume = "5",
issue = "1",
pages = "493-518",
DOI = "10.1137/16M1061692",
}


[128]
@article{LS17
author = "W.Lee and A.M. Stuart",
title = "Derivation and analysis of simplified filters for complex dynamical systems",
journal = "Communications in Mathematical Sciences",
year = "2017",
volume = "15",
issue = "2",
pages = "413-450",
DOI = "10.4310/CMS.2017.v15.n2.a6",
}


[127]
@article{ILS16
author = "M. Iglesias and Y. Lu and A.M. Stuart",
title = "A Bayesian level set method for geometric inverse problems",
journal = "Interfaces and Free Boundaries",
year =2016",
volume = "18",
issue = "2",
pages = "181-217",
DOI = "10.4171/IFB/362",
}


[126]
@article{DS16a
author = "M.M.Dunlop and A.M.Stuart",
title = "The Bayesian formulation of EIT: analysis and algorithms",
journal = "Inverse Problems and Imaging",
year = "2016",
volume = "10",
issue = "4",
pages = "1007-1036",
DOI = "10.3934/ipi.2016030",
}


[125]
@article{DIS16
author = "M.M.Dunlop and M.A.Iglesias and A.M.Stuart",
title = "Hierarchical Bayesian level set inversion",
journal = "Statistics and Computing",
year = "2016",
DOI = "10.1007/s11222-016-9704-8",
}


[124]
@article{DS16
author = "M.M.Dunlop and A.M.Stuart",
title = "MAP estimators for piecewise continuous inversion",
journal = "Inverse Problems",
year = "2016",
volume = "32",
issue = "10",
pages = "105003",
DOI = "10.1088/0266-5611/32/10/105003",
}


[123]
@article{CGSSZ16
author = "P.R.Conrad and M.Girolami and S.Sarkka and A.M.Stuart and K.C.Zygalakis",
title = "Statistical analysis of differential equations: introducing probability measures on numerical solutions",
journal = "Statistics and Computing",
year = "2016",
DOI = "10.1007/s11222-016-9671-0",
}


[122]
@article{LSSS16
author = "K.J.H. Law and D. Sanz-Alonso and A. Shukla and A.M. Stuart",
title = "Filter accuracy for the Lorenz 96 model: fixed versus adaptive observation operators",
journal = "Physica D: Nonlinear Phenomena",
year = "2016",
volume = "325",
pages = "1-13",
DOI = "doi:10.1016/j.physd.2015.12.008",
}


[121]
@article{OPPS16
author = "M. Ottobre and N.S.Pillai and F.J. Pinski and A.M.Stuart",
title = "A Function Space HMC Algorithm With Second Order Langevin Diffusion Limit",
journal = "Bernoulli",
year = "2016",
volume = "22",
issue = "1",
pages = "60-106",
DOI = "10.3150/14-BEJ621",
}


[120]
@article{PSSW16
author = "F..J. Pinski and G. Simpson and A.M. Stuart and H. Weber",
title = "Algorithms for Kullback-Leibler approximation for probability measures in infinite dimensions",
journal = "SIAM Journal on Scientific Computing",
year = "2015",
volume = "37",
issue = "6",
pages = "A2733–A2757",
DOI = "10.1137/14098171X",
}


[119]
@article{SS15
author = "D. Sanz-Alonso and A. M. Stuart",
title = "Long-Time Asymptotics of the Filtering Distribution for Partially Observed Chaotic Dynamical Systems",
journal = "SIAM/ASA J. Uncertainty Quantification",
year = "2015",
volume = "3",
issue = "1",
pages = "1200-1220",
DOI = "10.1137/140997336",
}


[118]
@article{PSSW15
author = "F.J. Pinski and G. Simpson and A.M. Stuart and H. Weber",
title = "Kullback-Leibler approximation for probability measures on infinite dimensional spaces",
journal = "SIAM J. Mathematical Analysis",
year = "2015",
volume = "47",
issue = "6",
pages = "4091-4122",
DOI = "10.1137/140962802",
}


[117]
@article{BJMS15
author = "A.Beskos and A. Jasra and E. Muzaffer and A.M. Stuart",
title = "Sequential Monte Carlo methods for Bayesian elliptic inverse problems",
journal = "Stat. Comp.",
year = "2015",
volume = "25",
pages = "727-737",
DOI = "10.1007/s11222-015-9556-7",
}


[116]
@article{DEPS15
author = "A. B. Duncan and C. M. Elliot and G. A. Pavliotis and A. M. Stuart",
title = "A multiscale analysis of diffusions on rapidly varying surfaces",
journal = "Journal of Nonlinear Science",
year = "2015",
volume = "25",
issue = "2",
pages = "389-449",
DOI = "10.1007/s00332-015-9237-x",
}


[115]
@article{ILS14
author = "M.A. Iglesias and K. Lin and A.M. Stuart",
title = "Well-posed Bayesian geometric inverse problems arising in subsurface flow",
journal = "Inverse Problems",
year = "2014",
volume = "30",
pages = "114001",
DOI = "doi:10.1088/0266-5611/30/11/114001",
}


[114]
@article{ABPS14,
author = "S. Agapiou and J.M. Bardsley and O. Papaspiliopoulos and A. M. Stuart",
title = "Analysis of the Gibbs sampler for hierarchical inverse problems",
journal = "Journal on Uncertainty Quantification",
year = "2014",
volume = "2",
pages = "511-544",
DOI = "DOI: 10.1137/130944229",
}


[113]
@article{KLS14,
author = "D.T.B. Kelly and K.J.H. Law and A.M. Stuart",
title = "Well-posedness and accuracy of the ensemble Kalman filter In discrete and continuous time",
journal = "Nonlinearity",
year = "2014",
volume = "27",
pages = "2579-2603,
DOI = "doi:10.1088/0951-7715/27/10/2579",
}


[112]
@article{HSV14,
author = "M. Hairer and A.M. Stuart and S.J. Vollmer",
title = "Spectral gaps for Metropolis-Hastings algorithms in infinite dimensions ",
journal = "The Annals of Applied Probability",
year = "2014",
volume = "24",
pages = "2455-290",
DOI = "10.1214/13-AAP982",
}


[111]
@article{PST14,
author = "N.S.Pillai and A.M. Stuart and A.H. Thiery",
title = "Noisy gradient flow from a random walk in Hilbert space",
journal = "Stochastic PDEs: Analysis and Computation",
year = "2014",
volume = "2",
pages = "196-232",
DOI = "10.1007/s40072-014-0029-3",
}


[110]
@article{HLS14,
author = "V. H Hoang and K.J.H. Law and A.M. Stuart",
title = "Determining white noise forcing from Eulerian observations in the Navier-Stokes equation",
journal = "Stochastic PDEs: Analysis and Computation",
year = "2014",
volume = "2",
pages = "233-261",
DOI = "10.1007/s40072-014-0028-4",
}


[109]
@article{ASZ14,
author = "S. Agapiou and A.M. Stuart and Y-X. Zhang",
title = "Bayesian posterior contraction rates for linear severely ill-posed inverse problems",
journal = "Journal of Inverse and Ill-Posed Problems",
year = "2014",
volume = "22",
pages = "297-321",
DOI = "10.1515/jip-2012-0071",
arXiv = " arXiv:1210.1563",
}


[108]
@article{LSS14,
author = "K.J.H. Law and A. Shukla and A.M. Stuart",
title = "Analysis of the 3DVAR Filter for the Partially Observed Lorenz '63 Model",
journal = "Discrete and Continuous Dynamical Systems A",
year = "2014",
volume = "34",
pages = "1061-1078",
DOI = "10.3934/dcds.2014.34.1061",
arXiv = "arXiv:",
}


[107]
@article{BLSZ13,
author = "D. Bloemker and K.J.H. Law and A.M. Stuart and K. Zygalalkis",
title = "Accuracy and stability of the continuous-time 3DVAR filter for the Navier-Stokes equation",
journal = "Nonlinearity",
year = "2013",
volume = "26",
pages = "2193-2219",
DOI = "10.1088/0951-7715/26/8/2193",
arXiv = "arXiv:",
}


[106]
@article{BPRSS13,
author = "A. Beskos and N. Pillai and G.O. Roberts and J.-M. Sanz-Serna and A.M. Stuart",
title = "Optimal tuning of hybrid Monte Carlo algorithm",
journal = "Bernoulli",
year = "2013",
volume = "19",
pages = "1501-1534",
DOI = "10.3150/12-BEJ414",
arXiv = "arXiv:1001.4460",
}


[105]
@article{ILS13,
author = "M.A. Iglesias, K.J.H. Law and A.M. Stuart",
title = "Evaluation of Gaussian approximations for data assimilation in reservoir models",
journal = "Computational Geosciences",
year = "2013",
volume = "17",
pages = "851-885",
DOI = "10.1007/s10596-013-9359-x",
arXiv = "arXiv:1212.1779",
}

[104]
@article{DLSV13,
author = "M. Dashti and K.J.H. Law and A.M. Stuart and J. Voss",
title = "MAP estimators and posterior consistency in Bayesian nonparametric inverse problems",
journal = "Inverse Problems",
year = "2013",
volume = "29",
pages = "095017",
DOI = "",
arXiv = "arXiv:",
}

[103]
@article{CRSW13,
author = "S.L.Cotter and G.O.Roberts and A.M. Stuart and D. White",
title = "MCMC methods for functions: modifying old algorithms to make them faster",
journal = "Statistical Science",
year = "2013",
volume = "28",
pages = "424-446",
DOI = "",
arXiv = "arXiv:",
}

[102]
@article{HSS13,
author = "V.H. Hoang and C. Schwab and A.M. Stuart",
title = "Complexity analysis of accelerated MCMC methods for Bayesian inversion",
journal = "Inverse Problems",
year = "2013",
volume = "29",
number = "8",
pages = "085010",
DOI = "10.1088/0266-5611/29/8/085010",
arXiv = "arXiv:1207.2411",
}

[101]
@article{ALS13,
author = "S.Agapiou and S.Larsson and A.M. Stuart",
title = "Posterior consistency of the Bayesian approach to linear ill-posed inverse problems",
journal = "Stochastic Processes and their Applications"'
year = "2013",
volume = "123",
number = "10",
pages = "3828–3860",
DOI = "10.1016/j.spa.2013.05.001",
arXiv = " arXiv:1203.5753",
}

[100]
@article{PSV13,
author = "Y.Pokern and A.M. Stuart and J.H. Van Zanten",
title = "Posterior consistency via precision operators for nonparametric drift estimation in SDEs",
journal = "Stochastic Processes and Their Applications",
year = "2013",
voume = "123",
number = "2",
pages = "603-628",
DOI = "10.1016/j.spa.2012.08.010",
arXiv = "arXiv:1202.0976",
}

[99]
@article{ILS13a,
author = "M.A. Iglesias and K.J.H. Law and A.M. Stuart",
title = "The ensemble Kalman filter for inverse problems",
journal = "Inverse Problems",
year = "2013",
volume = "29",
number = "4",
pages = "045001",
DOI = "doi:10.1088/0266-5611/29/4/045001",
arXiv = " arXiv:1209.2736",
}

[98]
@article{BLLMSS13,
author = "C.E.A. Brett and K.F. Lam and K.J.H. Law and D.S. McCormick and M.R. Scott and A.M. Stuart",
title = "Accuracy and stability of filters for the Navier-Stokes equation ",
journal = "Physica D",
year = "2013",
volume = "245",
pages = "34-45",
arXiv = "arXiv:1110.2527",
}

[97]
@article {PST12,
author = "Natesh S. Pillai and Andrew M. Stuart and Alexandre H. Thiéry",
title = "Optimal scaling and diffusion limits for the Langevin algorithm in high dimensions",
journal = "Annals of Applied Probability",
fjournal = "Annals of Applied Probability",
year = "2012",
volume = "22",
number = "6",
pages = "2320-2356",
ISSN = "1050-5164",
DOI = "10.1214/11-AAP828",
arXiv = "1103.0542",
SICI = "1050-5164(2012)22:6<2320:OSADLF>2.0.CO;2-4",
}

[96]
@article{LS12,
author = "K.Law and A.M. Stuart",
title = "Evaluating data assimilation algorithms",
journal = "Monthly Weather Review",
volume - "140",
year = "2012",
pages = "3757-3782",
arXiv = "arXiv:1107.4118",
}

[95]
@article{PPRS12,
author = "O. Papspilioupoulis and Y. Pokern and G.O. Roberts and A.M.Stuart",
title = "Nonparametric estimation of diffusions: a differential equations approach",
journal = "Biometrika",
year = "2012",
doi = "10.1093/biomet/ass034 ",
}

[94]
@article{DHS12,
author = "M.Dashti and S. Harris and A.M.Stuart",
title = "Besov priors for Bayesian inverse problems",
journal = "Inverse Problems and Imaging",
volume = "6",
year = "2012",
pages = "183-200",
arXiv = "arXiv:1105.0889",
}

[93]
@article{MPS12,
author = "J.C. Mattingly and N. Pillai and A.M. Stuart",
title = "Diffusion limits of random walk Metropolis algorithms in high dimensions",
journal = "Annals of Applied Probability",
volume = "22",
year = "2012",
pages = "881-930",
arXiv = "arXiv:1003.4306",
}

[92]
@article{SS12
author = "Ch. Schwab and A.M. Stuart",
title = "Sparse deterministic approximation of Bayesian inverse problems",
journal = "Inverse Problems",
volume = "28",
year = "2012",
pages = "045003",
}

[91]
@article{PST12,
author = "F. Pinskii and A.M.Stuart and F. Theil",
title = "Gamma limits for transition paths of maximal probability",
journal = "J. Stat. Phys.",
volume = "146",
year = "2012",
pages = 955-974,}

[90]
@article{CDS12,
author = "S.L.Cotter and M. Dashti and A.M.Stuart",
title = "Variational data assimilation using targetted random walks",
journal = "Int. J. Num. Meth. Fluids",
volume = "68",
year = "2012",
pages = 403-421,
}

[89]
@article{DS11,
author = "M.Dashti and A.M.Stuart",
title = "Uncertainty quantification and weak approximation of an elliptic inverse problem",
journal = "SIAM J. Numerical Analysis",
volume = "49"
year = "2011",
pages = "2524--2542"
}

[88]
@article{LMS11
author = "W.Lee and D.McDougall and A.M.Stuart",
title = "Kalman filtering for linear wave equations with model error",
journal = "Inverse Problems",
volume = "27",
year = "2011",
pages = "095008",
}

[87]
@article{BPSS11,
author = "A. Beskos and F. Pinski and J.M. Sanz-Serna and A.M.Stuart",
title = "Hybrid Monte-Carlo on Hilbert Spaces",
journal = "Stochastic Processes and Applications",
volume = "121",
year = "2011",
pages = "2201-2230",
}

[86]
@article{HSV10a,
author = “M. Hairer and A.M. Stuart and J. Voss”,
title = "Sampling conditioned hypoelliptic diffusions",
journal = "Annals of Applied Probability"
volume = "2011",
year = "2011",
pages = "669-698",
}

[85]
@article{MS10a,
author = "I. Melbourne and A.M.Stuart",
title = "A Note on Diffusion Limits of Chaotic Skew Product Flows",
journal = "Nonlinearity",
volume = "24",
year = "2011",
pages = "1361--1367",
}

[84]
@article{FPRS10a,
author = "P. Fearnhead and O. Papaspiliopoulos and G.O. Roberts and A.M. Stuart",
title = "Random-weight particle filtering of continuous time stochastic processes",
journal = "Journal of the Royal Statistical Society B"
volume = "72",
issue = "4",
year = "2010",
pages = "497-512",
}

[83]
@article{MST10,
author = "J.C. Mattingly and A.M. Stuart and M. Tretyakov",
title = "Convergence of numerical time-averaging and stationary measures via the Poisson equation",
journal = "SIAM Journal of Numerical Analysis",
volume = "48",
issue = "2",
year = "2010",
pages = "552-577",
}

[82]
@article{PS10,
author = "F.J. Pinski and A.M. Stuart",
title = "Transition paths in molecules: gradient descent in pathspace",
journal = "Journal of Chemical Physics",
volume = "132",
year = "2010",
pages = "184104",
}

[81]
@article{CDS10,
author = "S.L. Cotter and M. Dashti and A.M. Stuart",
title = "Approximation of Bayesian Inverse Problems",
journal = "SIAM Journal of Numerical Analysis",
volume = "48",
year = "2010",
pages = "322-345",
}

[80]
@article{CDRS09,
author = "S.L. Cotter and M. Dashti and J.C. Robinson and A.M Stuart",
title = "Bayesian inverse problems for functions and applications to fluid mechanics",
journal = "Inverse Problems",
volume = "25",
year = "2009",
pages = "115008",
}

[79]
@article{PSE09,
author = "Y. Pokern and A.M. Stuart and E. Vanden Eijnden",
title = "Remarks on Drift Estimation for Diffusion Processes",
journal = "SIAM Multiscale Modeling Simulation",
volume = "8",
year = "2009",
pages = "69-95",
}

[78]
@article{BRS09,
author = "A. Beskos and G.O. Roberts and A.M. Stuart",
title = "Optimal scalings of Metropolis-Hastings algorithms for non-product targets in high dimensions",
journal = "Annals of Applied Probability",
volume = "19",
year = "2009",
pages = "863-898",
}

[77]
@article{PPS09,
author = "A. Papavasiliou and G. Pavliotis and A.M. Stuart",
title = "Maximum likelihood estimation for multiscale diffusions",
journal = "Stochastic Processes and their Applications ",
volume = "19",
year = "2009",
pages = "3173-3210",
}

[76]
@article{PSW09,
author = "Y. Pokern and A.M. Stuart and P. Wiberg",
title = "Parameter estimation for partially observed hypo-elliptic diffusions",
journal = "Journal of the Royal Statistical Society B",
volume = "71",
year = "2009",
pages = "49-73",
}

[75]
@article{PSZ09,
author = "G. Pavliotis and A.M. Stuart, and K. Zygalakis",
title = "Calculating effective diffusivities in the limit of vanishing molecular diffusion",
journal = "Journal of Computational Physics ",
volume = "228",
year = "2009",
pages = "1030-1055",
}

[74]
@article{BRSV08,
author = "A. Beskos and G. Roberts and A.M. Stuart and J. Voss",
title = "An MCMC method for diffusion bridges",
journal = "Stochastics and Dynamics",
volume = "8",
year = "2008",
pages = "319-350",
}

[73]
@article{AJSV08,
author = "A. Apte and C.K.R.T. Jones and A.M. Stuart and J. Voss",
title = "Data assimilation: mathematical and statistical perspectives",
journal = "International Journal of Numerical Methods in Fluids",
volume = "56",
year = "2008",
pages = "1033-1046",
}

[72]
@article{AJS08,
author = "A. Apte and C.K.R.T. Jones and A.M. Stuart",
title = "A Bayesian approach to Lagrangian data assimilation",
journal = "Tellus A",
volume = "60",
year = "2008",
pages = "336-347",
}

[71]
@article{PSZ07,
author = "G. Pavliotis and A.M. Stuart and K. Zygalakis",
title = "Homogenization for inertial particles in a random flow",
journal = "Communications in Mathematical Sciences",
volume = "5",
year = "2007",
pages = "507-531",
}

[70]
@article{HSV07,
author = "M. Hairer and A.M. Stuart and J. Voss",
title = "Analysis of SPDEs arising in path sampling part II: the nonlinear case",
journal = "Annals of Applied Probability",
volume = "17",
issue = "5-6"
year = "2007",
pages = "1657-1706",
}

[69]
@article{PS07,
author = "G. Pavliotis and A.M. Stuart",
title = "Parameter estimation for multiscale diffusions",
journal = "Journal of Statistical Physics",
volume = "127",
year = "2007",
pages = "741-781",
}

[68]
@article{AHSV07,
author = "A. Apte and M. Hairer and A.M. Stuart and J. Voss",
title = "A Bayesian approach to data assimilation",
journal = "Physica D Nonlinear Phenomena ",
volume = "230",
year = "2007",
pages = "50-64",
}

[67]
@article{LMS07,
author = "H. Lamba and J.C. Mattingly and A.M. Stuart",
title = "An adaptive Euler-Maruyama scheme for SDEs: convergence and stability",
journal = "IMA Journal of Numerical Analysis",
volume = "27",
year = "2007",
pages = "479-506",
}

[66]
@article{BKS06,
author = "D. Barkley and I.G. Kevrekidis and A.M. Stuart",
title = "The moment map: nonlinear dynamics of density evolution via a few moments",
journal = "SIAM Journal of Applied Dynamical Systems ",
volume = "5",
year = "2006",
pages = "403-434",
}

[65]
@article{HSVW05,
author = "M. Hairer and A.M. Stuart and J. Voss and P. Wiberg",
title = "Analysis of SPDEs arising in path sampling part I: the Gaussian case",
journal = "Communications in Mathematical Sciences ",
volume = "4",
year = "2005",
pages = "587-603",
}

[64]
@article{PS05b,
author = "G.A. Pavliotis and A.M. Stuart",
title = "Periodic homogenization for inertial particles",
journal = "Physica D Nonlinear Phenomena ",
volume = "204",
year = "2005",
pages = "161-187",
}

[63]
@article{PS05a,
author = "G. Pavliotis and A.M. Stuart",
title = "Analysis of white noise limits for stochastic systems with two fast relaxation times",
journal = "SIAM Multiscale Modelling and Simulation",
volume = "4",
year = "2005",
pages = "1-35",
}

[62]
@article{KS04,
author = "R. Kupferman and A.M. Stuart",
title = "Fitting SDE models to nonlinear Kac-Zwanzig heat bath models",
journal = "Physica D Nonlinear Phenomena ",
volume = "199",
year = "2004",
pages = "279-316",
}

[61]
@article{SWV04,
author = "A.M. Stuart and P. Wiberg and J. Voss",
title = "Conditional path sampling of SDEs and the Langevin MCMC method",
journal = "Communications in Mathematical Sciences ",
volume = "2",
issue = "4"
year = "2004",
pages = "685-697",
}

[60]
@article{KPS04,
author = "R. Kupferman and G. Pavliotis and A.M. Stuart",
title = "Ito versus Stratonovich white noise limits for systems with inertia and colored multiplicative noise",
journal = "Physical Review E",
volume = "70",
year = "2004",
pages = "036120",
}

[59]
@article{GKS04,
author = "D. Givon and R. Kupferman and A.M. Stuart",
title = "Extracting macroscopic dynamics: model problems and algorithms",
journal = "Nonlinearity",
volume = "17",
year = "2004",
pages = "55-127",
}

[58]
@article{HMS03,
author = "D.J. Higham and X. Mao and A.M. Stuart",
title = "Mean square stability of numerical solutions to stochastic differential equations",
journal = "LMS Journal of Computational Mathematics",
volume = "6",
year = "2003",
pages = "297-313",
}

[57]
@article{PS03,
author = "G. Pavliotis and A.M. Stuart",
title = "White noise limits for inertial particles in a random field",
journal = "SIAM Multiscale Modelling and Simulation",
volume = "1",
year = "2003",
pages = "527-553",
}

[56]
@article{HSS03,
author = "W. Husinga and C. Schutte and A.M. Stuart",
title = "Extracting macroscopic stochastic models from dynamics",
journal = "Communications in Pure and Applied Mathematics ",
volume = "LVI",
year = "2003",
pages = "234-269",
}

[55]
@article{SS02b,
author = "H. Sigurgeirsson and A.M. Stuart",
title = "A model for preferential concentration",
journal = "Physics of Fluids ",
volume = "14",
year = "2002",
pages = "4352-4361",
}

[54]
@article{SS02a,
author = "H. Sigurgeirsson and A.M. Stuart",
title = "Inertial particles in a random field",
journal = "Stochastics and Dynamics ",
volume = "2",
year = "2002",
pages = "295-310",
}

[53]
@article{KSTT02,
author = "R. Kupferman and A.M. Stuart and J. Terry and P. Tupper",
title = "Long time behaviour of large mechanical systems with random initial data",
journal = "Stochastics and Dynamics ",
volume = "2",
year = "2002",
pages = "533-562",
}

[52]
@article{MS02,
author = "J. Mattingly and A.M. Stuart",
title = "Geometric ergodicity of some hypo-elliptic diffusions for particle motions",
journal = "Markov Processes and Related Fields ",
volume = "8",
year = "2002",
pages = "199-214",
}

[51]
@article{HMS02,
author = "D.J. Higham and X. Mao and A.M. Stuart",
title = "Strong convergence of Euler type methods for nonlinear stochastic differential equations",
journal = "SIAM Journal of Numerical Analysis ",
volume = "40",
issue = "3"
year = "2002",
pages = "1041-1063",
doi = "10.1137/S0036142901389530"
}

[50]
@article{MSH02,
author = "J. Mattingly and A.M. Stuart and D.J. Higham",
title = "Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise",
journal = "Stochastic Processes and their Applications ",
volume = "101",
issue = "2"
year = "2002",
pages = "185-232",
doi = "10.1016/S0304-4149(02)00150-3"
}

[49]
@article{ES02,
author = "D.J. Estep and A.M. Stuart",
title = "The dynamical behaviour of the discontinuous Galerkin method and related difference schemes",
journal = "Mathematics of Computation",
volume = "71",
year = "2002",
pages = "1075-1103",
}

[48]
@article{SSW01,
author = "H. Sigurgeirsson and A.M. Stuart and J. Wan",
title = "Collision detection for particles in a flow",
journal = "J. Comp. Phys.",
volume = "172",
year = "2001",
pages = "766-807",
}

[47]
@article{CS01,
author = "B. Cano and A.M. Stuart",
title = "Under-resolved simulations of heat baths",
journal = "J. Comp. Phys.",
volume = "169",
year = "2001",
pages = "193-214",
}

[46]
@article{CSSW01,
author = "B. Cano and E. Suli and A.M. Stuart and J. Warren",
title = "Stiff oscillatory systems, delta jumps and white noise",
journal = "Found. Comp. Math.",
volume = "1",
year = "2001",
pages = "69-100",
}

[45]
@article{SS00,
author = "T. Shardlow and A.M. Stuart",
title = "A perturbation theory for ergodic Markov chains with application to numerical approximation",
journal = "SIAM J. Num. Anal.",
volume = "37",
year = "2000",
pages = "1120-1137",
}

[44]
@article{SW99,
author = "A.M. Stuart and J. Warren",
title = "Analysis and experiments for a computational model of a heat bath",
journal = "J. Stat. Phys.",
volume = "97",
year = "1999",
pages = "687-723",
}

[43]
@article{GHS99,
author = "O. Gonzalez and D.J. Higham and A.M. Stuart",
title = "On the qualitative properties of modified equations",
journal = "IMA J. Num. Anal.",
volume = "19",
year = "1999",
pages = "169-190",
}

[42]
@article{SS99,
author = "J.M. Sanz-Serna and A.M. Stuart",
title = "Ergodic Properties of Dissipative Differential Equations Subject to Random Impulses",
journal = "J. Diff. Eq.",
volume = "155",
year = "1999",
pages = "262-284",
}

[41]
@article{LS98,
author = "H. Lamba and A.M. Stuart",
title = "Convergence Results for the MATLAB ode23 Routine",
journal = "BIT",
volume = "38",
year = "1998",
pages = "751-780",
}

[40]
@article{JST98,
author = "D.A. Jones and A.M. Stuart and E.S. Titi",
title = "Persistence of Invariant Sets for Dissipative Evolution Equations",
journal = "J. Math. Anal. and Applies.",
volume = "219",
year = "1998",
pages = "479-502",
}

[39]
@article{GS98,
author = "M. Gander and A.M. Stuart",
title = "Parallel Algorithms for the Solution of Time-Dependent Partial Differential Equations",
journal = "SIAM J. Sci. Comp.",
volume = "19",
year = "1998",
pages = "2014-2031",
}

[38]
@article{BKS98,
author = "C.J. Budd and G.P. Koomullil and A.M. Stuart",
title = "On the solution of convection-diffusion boundary-value problems by grid adaptation",
journal = "SIAM J. Sci. Stat. Comp.",
volume = "20",
year = "1998",
pages = "591-618",
}

[37]
@article{HS98,
author = "D.J. Higham and A.M. Stuart",
title = "Analysis of the dynamics of error control via a piecewise continuous residual",
journal = "BIT",
volume = "38",
year = "1998",
pages = "44-57",
}

[36]
@article{S97,
author = "A.M. Stuart",
title = "Probabilistic and Deterministic Convergence Proofs for Software for Ini­tial Value Problems",
journal = "Numerical Algorithms",
volume = "14",
year = "1997",
pages = "227-260",
}

[35]
@article{BS97,
author = "M. Bjorhus and A.M. Stuart",
title = "Waveform relaxation as a dynamical system",
journal = "Math. Comp.",
volume = "66",
year = "1997",
pages = "1101-1117",
}

[34]
@article{ES96,
author = "C.M. Elliott and A.M. Stuart",
title = "The viscous Cahn-Hilliard equation. Part II: Analysis",
journal = "J. Diff. Equations",
volume = "128",
year = "1996",
pages = "387-414",
}

[33]
@article{JS95,
author = "D.A. Jones and A.M. Stuart",
title = "Attractive Invariant Manifolds Under Approximation. Part I: Inertial Manifolds",
journal = "J. Diff. Eq.",
volume = "123",
year = "1995",
pages = "588-637",
}

[32]
@article{SH95,
author = "A.M. Stuart and A.R. Humphries",
title = "The Essential Stability of Local Error Control for Dissipative and Gradient Dynamical Systems",
journal = "SIAM J. Num. Anal. ",
volume = "32",
year = "1995",
pages = "1940-1971",
}

[31]
@article{LS95,
author = "G.J. Lord and A.M. Stuart",
title = "Gevrey regularity and upper semicontinuity of attractors for a semi-discrete Ginzburg-Landau equation",
journal = "Num. Func. Anal. Appl.",
volume = "16",
year = "1995",
pages = "1003-1047",
}

[30]
@article{ES95,
author = "D.J. Estep and A.M. Stuart",
title = "The rate of error growth in Hamiltonian conserving integrators",
journal = "ZAMP",
volume = "46",
year = "1995",
pages = "407-418",
}

[29]
@article{BEGSS95,
author = "F. Bai and C.M. Elliott and A. Gardiner and A. Spence and A.M. Stuart",
title = "The viscous Cahn- Hilliard equation. Part I: Computations",
journal = "Nonlinearity",
volume = "8",
year = "1995",
pages = "131-160",
}

[28]
@article{BSS94,
author = "F. Bai and A. Spence and A.M. Stuart",
title = "Numerical Computations of Coarsening in the Cahn-Hilliard model of phase separation",
journal = "Physica D",
volume = "78",
year = "1994",
pages = "155-165",
}

[27]
@article{SH94,
author = "A.M. Stuart and A.R. Humphries",
title = "Model Problems in Numerical Stability for Initial Value Problems",
journal = "SIAM Review",
volume = "36",
year = "1994",
pages = "226-257",
}

[26]
@article{HS94,
author = "A.R. Humphries and A.M. Stuart",
title = "Runge-Kutta methods for disspative and gradient dynamical systems",
journal = "SIAM J. Num. Anal.",
volume = "31",
year = "1994",
pages = "1452-1485",
}

[25]
@article{BDS94,
author = "C.J. Budd and J.W. Dold and A.M. Stuart",
title = "The study of blow-up in a system of partial differential equations with conserved first integral. Part II: Non-zero convection",
journal = "SIAM J. Appl. Math.",
volume = "54",
year = "1994",
pages = "610-640",
}

[24]
@article{BSS93,
author = "F. Bai and A. Spence and A.M. Stuart",
title = "The Numerical Computation of Heteroclinic Connections in Systems of Gradient Partial Differential Equations",
journal = "SIAM J. Appl. Math.",
volume = "35",
year = "1993",
pages = "743-769",
}

[23]
@article{BDS93,
author = "C.J. Budd and J.W. Dold and A.M. Stuart",
title = "The study of blow-up in a system of partial differential equations with conserved first integral. Part I: Zero convection",
journal = "SIAM J. Appl. Math.",
volume = "53",
year = "1993",
pages = "718-742",
}

[22]
@article{ES93,
author = "C.M. Elliott and A.M. Stuart",
title = "The global dynamics of discrete semilinear parabolic equations",
journal = "SIAM J. Num. Anal.",
volume = "30",
year = "1993",
pages = "1622-1663",
}

[21]
@article{CS93,
author = "M.A.J. Chaplain and A.M. Stuart",
title = "A model mechanism for the chemotactic response of endothelial cells to tumour angiogenesis factor",
journal = "IMA J. Math. Appl. Med. Biol.",
volume = "10",
year = "1993",
pages = "149-168",
}

[20]
@article{SS92,
author = "J.M. Sanz-Serna and A.M. Stuart",
title = "A note on uniform in time error estimates for reaction-diffusion equations",
journal = "IMA J. Num. Anal.",
volume = "12",
year = "1992",
pages = "457-462,
}

[19]
@article{GSY92,
author = "D.F. Griffiths and A.M. Stuart and H.C. Yee",
title = "Numerical wave propagation in hyperbolic equations with source terms",
journal = "SIAM J. Num. Anal.",
volume = "29",
year = "1992",
pages = "1244-1260",
}

[18]
@article{IS92,
author = "A. Iserles and A.M. Stuart",
title = "A unified approach to spurious solutions introduced by time discretisation. Part II. BDF-like methods",
journal = "IMA J. Num. Anal.",
volume = "12",
year = "1992",
pages = "487-502",
}

[17]
@article{CS91,
author = "M.A.J. Chaplain and A.M. Stuart",
title = "A mathematical model for the diffusion of tumour angiogenesis factor into the surrounding host tissue",
journal = "IMA J. Math. Appl. Med. Biol.",
volume = "8",
year = "1991",
pages = "191-220",
}

[16]
@article{IPS91,
author = "A. Iserles and A.T. Peplow and A.M. Stuart",
title = "A unified approach to spurious solutions introduced by time-discretisation. Part I Basic Theory",
journal = "SIAM J. Num. Anal.",
volume = "28",
year = "1991",
pages = "1723-1751",
}

[15]
@article{SP91,
author = "A.M. Stuart and A.T. Peplow",
title = "The dynamics of the theta method",
journal = "SIAM J. Sci. Stat. Comp.",
volume = "12",
year = "1991",
pages = "1351-1372",
}

[14]
@article{S91,
author = "A.M. Stuart",
title = "Singular Limits In Free Boundary Problems",
journal = "Rocky Mountain J. Math.",
volume = "21",
year = "1991",
pages = "809-811",
}

[13]
@article{SF90,
author = "A.M. Stuart and M.S. Floater",
title = "On the Computation of Blow-up",
journal = "Euro. J. Appl. Math.",
volume = "1",
year = "1990",
pages = "47-71",
}

[12]
@article{S89d,
author = "A.M. Stuart",
title = "Linear Instability Implies Spurious Periodic Solutions",
journal = "IMA J. Num. Anal.",
volume = "9",
year = "1989",
pages = "465-486",
}

[11]
@article{NS89,
author = "J. Norbury and A.M. Stuart",
title = "A Model For Porous Medium Combustion",
journal = "Quart. J. Mech. Appl. Math.",
volume = "42",
year = "1989",
pages = "159-178",
}

[10]
@article{S89c,
author = "A.M. Stuart",
title = "A Note On High/Low Wave Number Interactions In Spatially Discrete Parabolic Equations",
journal = "IMA J. Appl. Math.",
volume = "42",
year = "1989",
pages = "27-42",
}

[9]
@article{S89b,
author = "A.M. Stuart",
title = "Nonlinear Instability In Dissipative Finite Difference Schemes",
journal = "SIAM Review",
volume = "31",
year = "1989",
pages = "191-220",
}

[8]
@article{S89a,
author = "A.M. Stuart",
title = "Singular Free Boundary Problems And Local Bifurcation Theory",
journal = "SIAM J. Appl. Math.",
volume = "49",
year = "1989",
pages = "72-85",
}

[7]
@article{S88,
author = "A.M. Stuart",
title = "Similarity Solutions of a Heat Equation with Nonlinearly Varying Heat Capacity",
journal = "IMA J. Appl. Math.",
volume = "40",
year = "1988",
pages = "217-234",
}

[6]
@article{NS88c,
author = "J. Norbury and A.M. Stuart",
title = "Parabolic Free Boundary Problems Arising in Porous Medium Combustion",
journal = "IMA J. Appl. Math.",
volume = "39",
year = "1988",
pages = "241-257",
}

[5]
@article{NS88b,
author = "J. Norbury and A.M. Stuart",
title = "Travelling Combustion Waves in a Porous Medium. Part II — Stability",
journal = "SIAM J. Appl. Math.",
volume = "",
year = "1988",
pages = "374-392",
}

[4]
@article{NS88a,
author = "J. Norbury and A.M. Stuart",
title = "Travelling Combustion Waves in a Porous Medium. Part I — Existence",
journal = "SIAM J. Appl. Math.",
volume = "48",
year = "1988",
pages = "155-169",
}

[3]
@article{S87,
author = "A.M. Stuart",
title = "Existence of Solutions of a Two-Point Free Boundary Problem Arising in the Theory of Porous Medium Combustion",
journal = "IMA J. Appl. Math.",
volume = "38",
year = "1987",
pages = "23-34",
}

[2]
@article{NS87b,
author = "J. Norbury and A.M. Stuart",
title = "Volterra Integral Equations and a New Gronwall Inequality. Part II: The Nonlinear Case",
journal = "Proc. Roy. Soc. Edin.",
volume = "106A",
year = "1987",
pages = "375-384",
}

[1]
@article{NS87a,
author = "J. Norbury and A.M. Stuart",
title = "Volterra Integral Equations and a New Gronwall Inequality. Part I: The Linear Case",
journal = "Proc. Roy. Soc. Edin.",
volume = "106A",
year = "1987",
pages = "361-373",
}

BOOKS

[5b]
@unpublished{SV10a,
author = "A.M. Stuart and J. Voss",
title = "Matrix Analysis and Algorithms",
note = "In preparation",
}

[4b]
@book{LSZ15
author = "K.J.H.Law and A.M.Stuart and K.C.Zygalakis",
title = "Data Assimilation: A Mathematical Introduction",
publisher = "Springer",
year = "2015",
}

[3b]
@book{PS08,
author = "G.A. Pavliotis and A.M. Stuart",
title = "Multiscale Methods: Averaging and Homogenization",
publisher = "Springer",
year = "2008",
}

[2b]
@book{GS08,
author = "O. Gonzalez and A.M. Stuart",
title = "A First Course in Continuum Mechanics",
publisher = "Cambridge University Press",
year = "2008",
}

[1b]
@book{SH96,
author = "A.M. Stuart and A.R. Humphries",
title = "Dynamical Systems and Numerical Analysis",
publisher = "Cambridge University Press",
year = "1996",
}

OTHER

[22c]
@incollection{BS16,
author = "P.Buhlmann and A.M. Stuart",
title = "Mathematics, Statistics and Data Science",
booktitle = "EMS Newsletter",
volume = "June 2016",
publisher = "EMS",
pages = "28-30"
}

[21c]
@incollection{RS15,
author = "S.Reich and A.M. Stuart",
title = "Data Assimilation: New Challenges in Random and Stochastic Dynamical Systems",
booktitle = "SIAM News",
volume = "October and November 2015",
publisher = "SIAM",
}

[20c]
@incollection{DS15,
author = "M. Dashti and A.M.Stuart",
title = "The Bayesian Approach to Inverse Problems",
booktitle = "Handbook of Uncertainty Quantification",
editor = "R. Ghanem and D. Higdon and H. Owhadi",
publisher = "Springer",
}

[19c]
@incollection{IS14,
author = "M. Iglesias and A.M. Stuart",
title = "Inverse Problems and Uncerrainty Quantification",
booktitle = "SIAM News",
volume = "July/August 2014",
publisher = "SIAM",
}

[18c]
@incollection{PPS10a,
author = "G. Pavliotis and Y. Pokern and A.M. Stuart",
title = "Parameter estimation for multiscale diffusions: an overview",
booktitle = "Statistical Methods for Stochastic Differential Equations",
volume = "7",
publisher = "CRC Press"
editor = "M. Kessler and A. Lindner and M. Sorensen",
arXiv = "arXiv:math/0603668",
}

[17c]
@incollection{NPS10a,
author = "J. Nolen and G. Pavliotis and A.M. Stuart",
title = "Multiscale modelling and inverse problems",
booktitle = "Lecture Notes in Computational Science and Engineering",
volume = "83",
publisher = "Springer",
editor = "I.G. Graham and Th. Y. Hou and O. Lakkis and R. Scheichl",
}

[16c]
@incollection{HSV11,
author = "M. Hairer and A.M. Stuart and J. Voss",
title = "Signal processing problems on function space: Bayesian formulation, stochastic PDEs and effective MCMC methods",
booktitle = "The Oxford Handbook of Nonlinear Filtering",
publisher = "Oxford University Press",
editor = "D. Crisan and B. Rozovsky",
pages = "833-873",
}

[15c]
@incollection{S10a,
author = "A.M. Stuart",
title = "Inverse problems: a Bayesian perspective",
booktitle = "Acta Numerica 2010",
volume = "19",
pages = 451--559,
}

[14c]
@incollection{WS09,
author = "D. White and A.M. Stuart",
title = "Greens Functions by Monte Carlo",
booktitle = "Monte Carlo and Quasi-Monte Carlo Methods 2008",
publisher = "Springer",
editor = "P. L'Ecuyer and A.B. Owen",
year = "2009",
}

[13c]
@incollection{BS09,
author = "A. Beskos and A.M. Stuart",
title = "Computational Complexity of Metropolis-Hastings Methods in High Dimensions",
booktitle = "Monte Carlo and Quasi-Monte Carlo Methods 2008",
publisher = "Springer",
editor = "P. L'Ecuyer and A.B. Owen",
year = "2009",
}

[12c]
@incollection{BS08,
author = "A. Beskos and A.M. Stuart",
title = "MCMC methods for sampling function space",
booktitle = "ICIAM Invited Lecture 2007",
publisher = "European Mathematical Society",
editor = "R. Jeltsch and G. Wanner",
year = "2008",
}

[11c]
@incollection{HSV08,
author = "M. Hairer and A.M. Stuart and J. Voss",
title = "Sampling conditioned diffusions",
booktitle = "Trends in Stochastic Analysis",
publisher = "Cambridge University Press",
series = "LMS Lecture Notes 353",
editor = "J. Blath and P. Mörters and M. Sceutzow",
year = "2008",
}

[10c]
@incollection{PSB06,
author = "G.A. Pavliotis and A.M. Stuart and L. Band",
title = "Monte Carlo studies of effective diffusivities for inertial particles",
booktitle = "Monte Carlo and Quasi-Monte Carlo Methods 2004",
publisher = "Springer Verlag",
pages = "431-441",
editor = "H. Niederreiter and D. Talay",
year = "2006",
}

[9c]
@incollection{HS01,
author = "A.R. Humphries and A.M. Stuart",
title = "Numerical Analysis of Deterministic and Random Dynamical Systems",
booktitle = "Modern Methods in Scientific Computing and Applications",
publisher = "Kluwer",
series = "NATO Science Series II",
editor = "A. Bourlioux and M.J. Gander",
year = "2001",
}

[8c]
@incollection{SS01,
author = "H. Sigurgeirsson and A.M. Stuart",
title = "Statistics from computations",
booktitle = "Foundations of Computational Mathematics",
series = "LMS Lecture Note Series",
publisher = "LMS",
editor = "R.A. DeVore and A. Iserles and E. Suli",
year = "2001",
}

[7c]
@incollection{LS99,
author = "H. Lamba and A.M. Stuart",
title = "Convergence proofs for numerical software",
booktitle = "Dynamics of Algorithms",
series = "IMA Volumes in Mathematics and its Applications",
publisher = "Springer",
editor = "R. de la Llave and L. Petzold and J. Lorenz",
year = "1999",
}

[6c]
@incollection{S96,
author = "A.M. Stuart",
title = "Convergence and stability in the numerical approximation of dynamical systems",
booktitle = "Start of the Art in Numerical Analysis 1996",
publisher = "Oxford University Press",
editor = "I.A. Duff and G.A Watson",
year = "1996",
}

[5c]
@incollection{S95,
author = "A.M. Stuart",
title = "Perturbation Theory for Infinite Dimensional Dynamical Systems",
booktitle = "Advances in Numerical Analysis",
publisher = "Oxford University Press",
pages = "105",
editor = "M. Ainsworth and J. Levesley and M. Marletta and W.A. Light",
year = "1995",
}

[4c]
@incollection{S94,
author = "A.M. Stuart",
title = "Numerical Analysis of Dynamical Systems",
booktitle = "Acta Numerica 1994",
publisher = "Cambridge University Press",
pages = "467-572",
year = "1994",
}

[3c]
@incollection{HJS94,
author = "A.R. Humphries and D.A. Jones and A.M. Stuart",
title = "Approximation of dissipative partial differential equations over long time intervals",
booktitle = "Numerical Analysis",
publisher = "Longman",
editor = "G.A. Watson and D.F. Griffiths",
year = "1994",
}

[2c]
@incollection{S90,
author = "A.M. Stuart",
title = "The global attractor under discretisation",
booktitle = "Continuation and Bifurcation: Numerical Techniques and Applications",
publisher = "Kluwer",
editor = "D. Roose and B. De Bier and A. Spence",
year = "1990",
}

[1c]
@incollection{S88,
author = "A.M. Stuart",
title = "The Mathematics of Porous Medium Combustion",
booktitle = "Nonlinear Diffusion Equations and Their Equilibrium States",
publisher = "Springer",
editor = "W.-M. Ni and J. Serrin",
year = "1988",
}