%

@article{luskin79,
author="Mitchell Luskin",
title="An approximation procedure for nonsymmetric, nonlinear hyperbolic
      systems with nonlinear boundary conditions",
journal="SIAM J. Numer. Anal.",
volume=16,
year=1979,
pages="145--164"}

@article{luskin79a,
author="Mitchell Luskin",
title="A {G}alerkin method for nonlinear parabolic equations with nonlinear
      boundary conditions",
journal="Math. Comput.",
volume=33,
year=1979,
pages="493--519"}

@article{luskin79b,
author="Mitchell Luskin",
title="Convergence of a finite element method for the approximation of
      normal modes of the oceans",
journal="Math. Comput.",
volume=33,
year=1979,
pages="493--519"}

@article{luskinnagylaki79,
author="Mitchell Luskin and Tom Nagylaki",
title="Numerical analysis of weak random drift in a cline",
journal="Genetics",
volume=92,
year=1979,
pages="297--303"}

@article{luskin80,
author="Mitchell Luskin",
title="A finite element method for first order hyperbolic systems",
journal="Math. Comput.",
volume=35,
year=1980,
pages="1093--1112"}

@article{desclouxluskin81,
author="Jean Descoux and Mitchell Luskin and Jacques Rappaz",
title="Approximation of the spectrum of closed operators: the determination
      of normal modes of a rotating basin",
journal="Math. Comput.",
volume=36,
year=1981,
pages="137--154"}

@article{luskinrannacher81,
author="Mitchell Luskin and Rolf Rannacher",
title="On the smoothing property of the {G}alerkin method for parabolic
      equations",
journal="SIAM J. Numer. Anal.",
volume=19,
year=1981,
pages="93--113"}

@article{luskin81,
author="Mitchell Luskin",
title="On the existence of global smooth solutions for a model equation for
      fluid flow in a pipe",
journal="J. Math. Anal. Appl.",
volume=84,
year=1981,
pages="614--630"}

@inproceedings{babuskaluskin81,
author="Ivo Bab{\v u}ska and Mitchell Luskin",
title="An adaptive time discretization procedure for parabolic problems",
booktitle="Proceedings of the Fourth IMACS International Symposium on
      Computer Methods for Partial Differential Equations",
year=1981}

@inproceedings{luskintemple81,
author="Mitchell Luskin and Blake Temple",
title="Stability and error bonds for a fractional step scheme to compute
      weak solutions of the nonlinear waterhammer problem",
booktitle="Lectures on the Numerical Solution of Partial Differential Equations",
publisher="Department of Mathematics, University of Maryland",
volume=20,
year=1981,
pages="270--289"}

@article{luskintemple82,
author="Mitchell Luskin and Blake Temple",
title="The existence of a global weak solution to the nonlinear waterhammer
      problem",
journal="Comm. Pure Appl. Math.",
volume=35,
year=1982,
pages="697--735"}

@article{desclouxluskin82,
author="Jean Descloux and Mitchell Luskin",
title="On a finite element method to solve the criticality eigenvalue
      problem for the transport equation",
journal="SIAM J. Numer. Anal.",
volume=19,
year=1982,
pages="1208--1218"}

@article{luskinrannacher82,
author="Mitchell Luskin and Rolf Rannacher",
title="On the smoothing property of the {C}rank-{N}icolson scheme",
journal="Applicable Analysis",
volume=14,
year=1982,
pages="117--135"}

@inproceedings{kheshgiluskin83,
author="Haroon Kheshgi and Mitchell Luskin",
title="On the variable sign penalty approximation of the {N}avier-{S}tokes equation",
booktitle="Nonlinear Partial Differential Equations",
series="Contemporary Mathematics",
volume=17,
editor="Joel Smoller",
publisher="American Mathematical Society",
address="Providence",
year=1983}

@inproceedings{kheshgiluskin84,
author="Haroon Kheshgi and Mitchell Luskin",
title="Improved flux calculations for viscous incompressible flow by the
      variable penalty method",
booktitle="Lectures in Applied       Mathematics",
publisher="American Mathematical Society",
address="Providence",
volume=22,
year=1984}

@article{luskin84,
author="Mitchell Luskin",
title="On the classification of the equations of viscoelasticity",
journal="Journal      of Non-Newtonian Fluid Mechanics",
volume=16,
year=1984,
pages="3--11"}

@article{kheshgiluskin85,
author="Haroon Kheshgi and Mitchell Luskin",
title="Analysis of the finite element variable penalty method for {S}tokes
      equation",
journal="Math. Comput.",
volume=45,
year=1985,
pages="347--363"}

@article{lorenceluskinmartin85,
author="L. Lorence and Mitchell Luskin and William Martin",
title="Analysis of a block {G}auss-{S}eidel iterative method for a finite
      element discretization of the neutron transport equation",
journal="Transport Theory and Statistical Physics",
volume=144,
year=1985,
pages="35--62"}

@inproceedings{chipotluskin85,
author="Michel Chipot and Stephen Kistler and Mitchell Luskin and
David Perry",
title="Elastohydrodynamical problems in magnetic recording",
booktitle="Proceedings of the Congr\`es National d'Analyse Num\'erique",
address="France",
year=1985,
pages="209--212"}

@article{chipotluskin86,
author="Michel Chipot and Mitchell Luskin",
title="Existence and uniqueness of solutions to the compressible {R}eynolds
      lubrication equation",
journal="SIAM Journal on Math. Analysis",
volume=17,
year=1986,
pages="1390--1399"}

@inproceedings{chipotluskin87,
author="Michel Chipot and Mitchell Luskin",
title="The compressible {R}eynolds lubrication equation",
booktitle="Metastability and Incompletely Posed Problems",
series="IMA Volumes in Mathematics and its Applications",
volume=3,
editor="S. Antman and J. Ericksen and D. Kinderlehrer and I. Muller",
publisher="Springer-Verlag",
address="New York",
year=1987,
pages="61--76"}

@inproceedings{cohenhardtluskin87,
author="Robert Cohen and Robert Hardt and David Kinderlehrer and
San-Yih Lin and Mitchell Luskin",
title="Minimum energy configurations for liquid crystals",
booktitle="Theory and Applications of     Liquid Crystals",
series="IMA Volumes in Mathematics and its Applications",
volume=5,
editor="J. Ericksen and D. Kinderlehrer",
publisher="Springer-Verlag",
address="New York",
year=1987,
pages="99--121"}

@inproceedings{hardtkinderlehrerluskin88,
author="Robert Hardt and David Kinderlehrer and Mitchell Luskin",
title="Remarks about the mathematical theory of liquid crystals",
booktitle="Calculus of Variations and      Partial Differential Equations",
series="Lecture Notes in Mathematics",
volume= 1340,
editor="S. Hildebrandt and D. Kinderlehrer  and M. Miranda",
publisher=" Springer-Verlag",
address="New York",
year=1988,
pages="123--138"}

@article{linluskin89,
author="San-Yih Lin and Mitchell Luskin",
title="Relaxation methods for liquid crystal problems",
journal="SIAM J. Numer. Anal.",
volume=26,
year=1989,
pages="1310--1324"}

@inproceedings{collinsluskin89,
author="Charles Collins and Mitchell Luskin",
title="The computation of the austenitic-martensitic phase transition",
booktitle="Partial Differential
   Equations and Continuum Models of Phase Transitions",
series="Lecture Notes in Physics",
volume=344,
editors="M. Rascle and D. Serre and M. Slemrod",
publisher="Springer-Verlag",
address="New York",
year=1989,
pages="34--50"}

@article{luskinsell89,
author="Mitchell Luskin and George Sell",
title="Approximation theories for inertial manifolds",
journal="Mathematical Modelling and Numerical Analysis",
volume=23,
year=1989,
pages="445--461"}

@article{cohenluskinlin89,
author="Robert Cohen and San-Yih Lin and Mitchell Luskin",
title="Relaxation and gradient methods for molecular orientation
in liquid crystals",
journal="Computer Physics Communications",
volume=53,
year=1989,
pages="455--465"}

@inproceedings{collinsluskin89a,
author="Charles Collins and Mitchell Luskin",
title="Computational results for phase transitions in shape memory materials",
booktitle="Smart Materials, Structures, and Mathematical Issues",
editor="C. Rogers",
publisher="Technomic Publishing Co.",
address="Lancaster, Pennsylvania",
year=1989,
pages="198--215"}

@article{chipotluskin90,
author="Michel Chipot and Mitchell Luskin",
title="Existence of solutions to the elastohydrodynamical equations for
      magnetic recording systems",
journal="SIAM Journal on     Math Analysis",
volume=21,
year=1990,
pages="1--17"}

@inproceedings{collinsluskin90,
author="Charles Collins and Mitchell Luskin",
title="Numerical modeling of the microstructure of crystals with
symmetry-related variants",
booktitle="Proceedings of the US - Japan Workshop on Smart/Intelligent
Materials and Systems",
editor="I. Ahmad and A. Crowson and C. Rogers and M. Aizawa",
publisher="Technomic Publishing Co.",
address="Lancaster, Pennsylvania",
year=1990,
pages="309--318"}

@article{fabesluskinsell91,
author="Eugene Fabes and Mitchell Luskin and George Sell",
title="Construction of inertial manifolds by elliptic regularization",
journal="Journal of Differential Equations",
volume=89,
year=1991,
pages="355--387"}

@article{collinskinderlehrerluskin91,
author="Charles Collins and David Kinderlehrer and Mitchell Luskin",
title="Numerical approximation of the solution of a variational
problem with a double well potential",
journal="SIAM J. Numer. Anal.",
volume=28,
year=1991,
pages="321--332"}

@article{collinsluskin91,
author="Charles Collins and Mitchell Luskin",
title="Optimal order error estimates for the finite element
approximation of the solution of a nonconvex variational problem",
journal="Math. Comp.",
year=1991,
pages="621--637",
volume=57}

@inproceedings{luskin91,
author="Mitchell Luskin",
title="Numerical analysis of microstructure for crystals
with a nonconvex energy density",
booktitle="Progress in Partial Differential Eequations:
 the Metz Surveys",
series="Pitman Research Notes in Mathematics Series",
volume="249",
editor="Michel Chipot and J. Saint Jean Paulin",
publisher="Longman House",
address="UK",
pages="156--165",
year=1991}

@inproceedings{cohenluskin91,
author="Robert Cohen and Mitchell Luskin",
title="Field-induced instabilities in nematic liquid crystals",
booktitle="Nematics: Mathematical and Physical Aspects",
series="Nato ASI Series, Series C: Mathematical and Physical Sciences",
volume=332,
editors="J. M. Coron and F. Helein and J. M. Ghidaglia",
publisher="Kluwer Academic Publishers",
address="Dordrecht, Netherlands",
pages="261--278",
year=1991}

@inproceedings{collinsluskinriordan91,
author="C. Collins and M. Luskin and J. Riordan",
title="Computational images of crystalline microstructure",
booktitle="AMS Special Lectures in Mathematics and
AMS Videotape Library",
editor="J. Taylor",
publisher="Amer. Math. Soc.",
address="Providence",
year=1991,
pages="16--18"}

@inproceedings{luskinpan91,
author="Mitchell Luskin and T.-W. Pan",
title="Shear flow instabilities in liquid crystals",
booktitle="Proceedings of the 13th IMACS World Congress
on Computation and Applied Mathematics,  Vol. 2",
address="Trinity College, Dublin, Ireland",
editor="R. Vichnevetsky and J.J.H. Miller",
year=1991,
pages="793--794"}

@article{luskinma92,
author="Mitchell Luskin and Ling Ma",
year=1992,
title="Analysis of the finite element approximation of microstructure in
micromagnetics",
journal="SIAM J. Numer. Anal.",
volume=29,
pages="320--331"}

@article{luskinpan92,
author="Mitchell Luskin and  T.-W. Pan",
title="Nonplanar shear flows for nonaligning nematic
liquid crystals",
journal="Journal of Non-Newtonian Fluid Mechanics",
volume=42,
pages="369--384",
year="1992"}

@inproceedings{collinsluskin93,
author="Mitchell Luskin and Charles Collins",
title="Computational results for martensitic twinning",
editor="Perkins and Wayman",
booktitle="Proceedings of the International Conference on
Martensitic Transformations",
publisher="Monterey Institute of Advanced Studies",
address="Carmel, California",
year=1993,
pages="83--88"}

@inproceedings{luskinma93,
author="Mitchell Luskin and Ling Ma",
title="Numerical optimization of the
micromagnetics energy",
booktitle="Mathematics in Smart Materials",
organization="SPIE",
notes="Vol. 1919",
pages="19--29",
year=1993}

@inproceedings{collinsluskinriordan93,
author="Charles Collins and Mitchell Luskin and James Riordan",
year=1993,
title="Computational results for a two-dimensional model of
crystalline microstructure",
booktitle="Microstructure and Phase Transitions",
editor="J. Ericksen and R. James and D. Kinderlehrer and M. Luskin",
note="IMA Volumes in Mathematics and Its Applications, vol. 54",
publisher="Springer-Verlag",
address="New York",
pages="51--56"}

@article{kloucekluskin94,
author="Petr Klou\v{c}ek and Mitchell Luskin",
title="The computation of the dynamics
of the martensitic transformation",
journal="Continuum Mech. Thermodyn.",
pages="209--240",
year=1994,
volume=6}

@article{kloucekluskin94b,
author="Petr Klou\v{c}ek and Mitchell Luskin",
title="Computational modeling of the martensitic transformation
with surface energy",
journal="Mathematical and Computer Modelling",
volume=20,
pages="101--121",
year=1994}

@article{kloucekliluskin,
author="Petr Klou\v{c}ek and Bo Li and Mitchell Luskin",
title="Analysis of a class of nonconforming finite elements
for crystalline microstructures",
journal="Math. Comput.",
pages="1111-1135",
year=1996,
volume=65}

@article{luskinacta,
author="Mitchell Luskin",
title="On the computation of crystalline microstructure",
journal="Acta Numerica",
pages="191--258",
volume=5,
year=1996}

@article{luskiniciam96,
author="Mitchell Luskin",
title="Numerical analysis
of a microstructure for a rotationally
invariant, double well energy",
journal="Zeitschrift f{\"u}r Angewandt Mathematik und Mechanik",
year=1996,
volume=76,
pages="405--408"}

@article{luskin95,
author="Mitchell Luskin",
title="Approximation of a laminated microstructure for a
rotationally invariant, double well energy density",
journal="Numer. Math.",
year=1997,
pages="205--221",
volume=75}

@article{liluskin96,
author="Bo Li and Mitchell Luskin",
title="Nonconforming finite element approximation of crystalline
       microstructure",
journal="Math. Comp.",
volume=67,
pages="917--946",
year="1998"}

@article{liluskin97,
author="Bo Li and Mitchell Luskin",
title="Finite element analysis of microstructure for
the cubic to tetragonal transformation",
journal="SIAM J. Numer. Anal.",
year="1998",
volume=35,
pages="376--392"}

@inproceedings{enumath,
author="Mitchell Luskin",
booktitle="ENUMATH 97",
title="The stability and numerical analysis of
martensitic microstructure",
year=1998,
editor="H.~Bock and F.~Brezzi and R.~Glowinski
and G.~Kanschat and Y.~Kuznetsov and J.~P{\'e}riaux and
 R.~Rannacher",
pages="54--69"
}

@article{liluskin97b,
author="Bo Li and Mitchell Luskin",
title="Approximation of a laminate with varying
volume fractions",
journal="Mathematical Modelling and Numerical Analysis",
volume=33,
pages="67--87",
year="1999"}

@article{liluskin99,
author="Bo Li and Mitchell Luskin",
title="Theory and computation for the microstructure
near the interface between twinned layers and a
pure variant of martensite",
journal="Materials Science \& Engineering A",
year=1999,
pages="237--240",
volume=273}

@article{bhattaliluskin98,
author="Kaushik Bhattacharya and Bo Li and Mitchell Luskin",
title="The simply laminated microstructure in
martensitic crystals that undergo a cubic to orthorhombic phase
transformation",
journal="Archive for Rational Mechanics and Analysis",
year="1999",
volume=149,
pages="123--154"}

@inproceedings{luskin99,
author="Mitchell Luskin",
title="On the stability of microstructure for general
martensitic transformations",
booktitle="Lectures on Applied Mathematics",
editor="H.-J. Bungartz and R. W. Hoppe and C. Zenger",
publisher="Springer-Verlag",
year=2000,
pages="31--44"}

@article{belikluskin99,
author="Pavel B\v{e}l\'{\i}k and Mitchell Luskin",
title="Stability of microstructure for
tetragonal to monoclinic martensitic transformations",
journal="Mathematical Modelling and Numerical Analysis",
year="2000",
pages="663--685",
volume=34}

@inproceedings{cockburnluskin,
author="Bernardo Cockburn and Mitchell Luskin and Chi-Wang Shu and
Endre S{\'u}li",
title="Post-processing of {G}alerkin methods for hyperbolic problems",
series="Lecture Notes in Computational Science and Engineering",
booktitle="First International Symposium on Discontinuous Galerkin
Methods",
volume=33,
publisher="Springer-Verlag",
editor="Bernardo Cockburn and G. E. Karniadakis and Chi-Wang Shu",
year=2000}

@article{efendievluskin,
author="Yalchin Efendiev and Mitchell Luskin",
title="Stability of microstructures for some
martensitic transformations",
journal="Mathematical and Computer Modelling",
year="2000",
volume=34,
pages="1289--1305"}

@article{strutchupluskinzachariah,
author="Henning Struchtrup and Mitchell Luskin and Michael Zachariah",
title="A model for kinetically controlled internal phase
segregation during aerosol coagulation",
journal="J. Aerosol Science",
volume=32,
pages="1479--1504",
year=2001}

@article{belikbruleluskin,
author="Pavel B\v{e}l\'{\i}k and Tim Brule and Mitchell Luskin",
title="On the Numerical Modeling of
Deformations of Pressurized Martensitic Thin Films",
journal="Mathematical Modelling and Numerical Analysis",
year="2001",
pages="525--548",
volume=35
}

@article{belikluskin,
author="Pavel B\v{e}l\'{\i}k and Mitchell Luskin",
title="A total-variation surface energy model for
thin films of martensitic crystals",
journal="Interfaces and Free Boundaries",
year="2002",
volume=4,
pages="71--88"
}

@article{efendievstrutchupluskinzachariah,
author="Yalchin Efendiev and Henning Struchtrup and Mitchell Luskin and Michael Zachariah",
title=" A hybrid sectional-moment model for coagulation and phase segregation in binary
liquid nanodroplets",
journal="J. Nanoparticle Research",
year="2002",
volume=4,
pages="61--72"
}

@article{belikluskin2,
author="Pavel B\v{e}l\'{\i}k and Mitchell Luskin",
title="A computational model for the indentation and phase transformation of a
martensitic thin film",
journal="Journal of the Mechanics and Physics of
Solids",
year="2002",
volume=50,
pages="1789--1815"}

@inproceedings{luskinicm,
author="Mitchell Luskin",
title="Computational modeling of microstructure",
booktitle="Proceedings of the International Congress of Mathematicians,
ICM 2002, Beijing",
year=2002,
volume="III",
pages="707--716"}

@INPROCEEDINGS{dundee,
  AUTHOR =       "Pavel B\v{e}l\'{\i}k and Mitchell Luskin",
  TITLE =        "Numerical Methods for Martensitic
  Phase Transformation and Microstructure",
  BOOKTITLE =    "Proceedings of the 20th
  Biennial Conference on Numerical Analysis",
  YEAR =         "2003",
  editor =       "D F Griffiths and G A Watson",
  pages =        "13--16",
  publisher =    "University of Dundee",
}

@article{cockburnluskin2,
author="Bernardo Cockburn and Mitchell Luskin and Chi-Wang Shu and
Endre S{\'u}li",
title="Enhanced accuracy by post-processing for finite element
methods for hyperbolic equations",
journal="Math. Comp.",
volume=73,
year=2003,
pages="577--606"
}

@article{kruzikluskin,
author="Martin Kru\v{z}\'{\i}k and Mitchell Luskin",
title="The computation of martensitic microstructure with piecewise
laminates",
journal="Journal of Scientific Computing",
volume=19,
year=2003,
pages="293--308"
}

@article{belikluskin03,
author="Pavel B\v{e}l\'{\i}k and Mitchell Luskin",
title="Approximation by piecewise constant functions in a BV metric",
journal="Mathematical Models \& Methods in Applied Sciences",
year=2003,
volume=13,
pages="373--393"
}

@article{belikluskin04,
author="Pavel B\v{e}l\'{\i}k and Mitchell Luskin",
title="A Computational Model For Martensitic Thin Films With
Compositional Fluctuation",
journal="Mathematical Models \& Methods in Applied Sciences",
year=2004,
volume=14,
pages="1585--1598"
}

@article{belikluskin04b,
author="Pavel B\v{e}l\'{\i}k and Mitchell Luskin",
title="Computational modeling of softening in a structural phase
  transformation",
journal="SIAM J. Multiscale Modeling \&
Simulation",
year=2005,
volume=3,
pages="764--781"
}

@article{rybkaluskin,
author="Piotr Rybka and Mitchell Luskin",
title="Existence of energy minimizers for magnetostrictive materials",
journal="SIAM J. Math. Anal.",
year="2005",
pages="2004--2019",
volume=36
}

@article{belikluskin05,
author="Pavel B\v{e}l\'{\i}k and Mitchell Luskin",
title="The {$\Gamma$}-convergence of a sharp interface thin film model with
  non-convex elastic energy",
journal="SIAM J. Math. Anal.",
year=2006,
volume=38,
pages="414--433"
}

@article{liakhovaluskinzhang06,
author="Julia Liakhova and Mitchell Luskin and Tianyu Zhang",
title="Computational Modeling of Ferromagnetic Shape Memory Thin Films",
journal="Ferroelectrics",
volume=342,
pages="73--82",
year=2006
}

@article{belikluskin06,
author="Pavel B\v{e}l\'{\i}k and Mitchell Luskin",
title="A Finite Element Model for Martensitic Thin Films",
journal="Calcolo",
volume=43,
pages="197--215",
year=2006
}

@article{legollmoeckelluskin06,
author="Fr\'ed\'eric Legoll and Mitchell Luskin and Richard Moeckel",
title="Non-ergodicity of the {Nos\'e-Hoover}
thermostatted harmonic oscillator",
journal="Archive for Rational Mechanics and Analysis",
year="2007",
volume=184,
pages="449--463"
}

@article{luskinzhang06,
author="Mitchell Luskin and Tianyu Zhang",
title="Numerical Analysis of a Model for Ferromagnetic Shape Memory Thin Films",
journal="Computer Methods in Applied Mechanics and
Engineering",
year="2007",
volume=196,
pages="3759�-3770"
}

@article{arndtluskin07a,
author="Marcel Arndt and Mitchell Luskin",
title="Goal-oriented Atomistic-Continuum Adaptivity for the Quasicontinuum Approximation",
journal="International Journal for Multiscale Computational Engineering",
year="2007",
volume=5,
pages="407--415"
}

@article{dobsonccb07,
author="M. Dobson and M. Luskin and R. S. Elliott and E. B. Tadmor",
title="A Multilattice Quasicontinuum for Phase Transforming Materials: {Cascading Cauchy Born} Kinematics",
journal="Journal of Computer-Aided Materials
Design",
year="2007",
volume=14,
pages="219--237"
}

@article{arndtluskin07b,
author="Marcel Arndt and Mitchell Luskin",
title="Error Estimation and Atomistic-Continuum Adaptivity
for the Quasicontinuum Approximation
of a {Frenkel-Kontorova} Model",
journal="SIAM J. Multiscale Modeling \&
Simulation",
year="2008",
volume=7,
pages="147-170"
}

@article{dobsonluskin07,
author="Matthew Dobson and Mitchell Luskin",
title="Analysis of a force-based
quasicontinuum approximation",
journal="Mathematical Modelling and Numerical
Analysis",
year="2008",
pages="113--139"
}

@Article{arndtluskin07c,
  author =       {Marcel Arndt and Mitchell Luskin},
  title =        {Goal-Oriented Adaptive Mesh Refinement for the Quasicontinuum Approximation of a {Frenkel-Kontorova} Model},
journal={Computer Methods in Applied Mechanics and Engineering},
  year =         {2008},
  volume=197,
  pages="4298--4306"
}

@article{dobsonluskin08,
author="Matthew Dobson and Mitchell Luskin",
title="Iterative solution of the quasicontinuum equilibrium
equations with continuation",
journal="Journal of Scientific Computing",
year="2008",
volume=37,
pages="19--41"
}

@article{dobsonluskin09,
author="Matthew Dobson and Mitchell Luskin",
title="An Analysis of the Effect of Ghost Force Oscillation on Quasicontinuum Error",
journal="Mathematical Modelling and Numerical
Analysis",
year="2009",
volume=43,
pages="591--604"
}

@article{dobsonluskin09b,
author="Matthew Dobson and Mitchell Luskin",
title="An Optimal Order Error Analysis of the One-Dimensional
Quasicontinuum Approximation",
journal="SIAM. J. Numer. Anal.",
volume=47,
year="2009",
pages="2455-2475"
}

@article{legollmoeckelluskin09,
author="Fr\'ed\'eric Legoll and Mitchell Luskin and Richard Moeckel",
title="Non-ergodicity of {Nos\'e-Hoover} dynamics",
journal="Nonlinearity",
year="2009",
volume=22,
pages="1673-1694"
}

@article{cluster09,
author="Mitchell Luskin and Christoph Ortner",
title="An Analysis of Node-Based Cluster Summation Rules in the
  Quasicontinuum Method",
journal="SIAM. J. Numer. Anal.",
year="2009",
volume=47,
pages="3070-3086"
}

@article{dobs-qcf2,
	author="Matthew Dobson and Mitchell Luskin and Christoph Ortner",
	title="Stability, Instability, and Error of the Force-Based
	Quasicontinuum Approximation",
journal="Archive for Rational Mechanics and Analysis",
		year="2010",
pages="179--202",
volume="197",
note="arXiv:0903.0610"
}

@article{doblusort:qcf.stab,
  author = {Dobson, M. and Luskin, M. and Ortner, C.},
  title = {Sharp Stability Estimates for the Force-based Quasicontinuum Approximation
  of Homogeneous Tensile Deformation},
  journal="SIAM J. Multiscale Modeling \&
Simulation",
year="2010",
pages="782--802",
volume=8,
note="arXiv:0907.3861"
}

@article{doblusort:qce.stab,
AUTHOR =       {Matthew Dobson and Mitchell Luskin and Christoph Ortner},
  TITLE =        {Accuracy of Quasicontinuum Approximations Near Instabilities},
  journal="Journal of the Mechanics and Physics of
Solids",
year="2010",
pages="1741--1757",
volume=58,
NOTE={arXiv:0905.2914v2},
}

@article{qcf.iterative,
  AUTHOR =       {Matthew Dobson and Mitchell Luskin and Christoph Ortner},
  TITLE =        {Iterative Methods for the Force-based Quasicontinuum Approximation: Analysis of a 1D model problem},
note =         {arXiv:0910.2013v3},
  journal="Computer Methods in Applied Mechanics and Engineering",
year="2011",
pages="2697--2709",
volume=200
}

@article{eam.qc,
  AUTHOR =       {Xingjie Helen Li and Mitchell Luskin},
  TITLE =        {An Analysis of the Quasi-Nonlocal Quasicontinuum Approximation of the Embedded Atom Model},
  NOTE =         {arXiv:1008.3628v4},
  journal="International Journal for Multiscale Computational Engineering",
year="2012",
pages="33--49",
volume=10
}

@article{finite.range,
  AUTHOR =       {Xingjie Helen Li and Mitchell Luskin},
  TITLE =        {A Generalized Quasi-Nonlocal Atomistic-to-Continuum Coupling Method with Finite Range Interaction},
  NOTE =         {arXiv:1007.2336v2, doi: 10.1093/imanum/drq049},
  journal="IMA Journal of Numerical Analysis",
year="2012",
volume=32,
pages="373--393"
}

@INCOLLECTION{luskin.iter.stat,
  AUTHOR =       {Mitchell Luskin and Christoph Ortner},
  TITLE =        {Linear Stationary Iterative Methods for the Force-based Quasicontinuum Approximation},
  BOOKTITLE =    {Numerical Analysis and Multiscale Computations},
  series =       {Lect. Notes Comput. Sci. Eng.},
  PUBLISHER =    {Springer Verlag},
  volume=82,
  YEAR =         {2012},
  pages={331--368},
  editor =       {Bjorn Engquist and Olof Runborg and Richard Tsai},
  note =         {arXiv:1104.1774},
}

@INCOLLECTION{luskin.durham,
  AUTHOR =       {Brian Van Koten and Xingjie Helen Li and Mitchell Luskin and Christoph Ortner},
  TITLE =        {A Computational and Theoretical Investigation of
the Accuracy of Quasicontinuum Methods},
series =       {Lect. Notes Comput. Sci. Eng.},
  BOOKTITLE =    {Numerical Analysis of Multiscale Problems},
  PUBLISHER =    {Springer},
  volume=83,
  pages="67--96",
  YEAR =         {2012},
  editor =       {Ivan Graham and Tom Hou and Omar Lakkis and Rob Scheichl},
  note =         {arXiv:1012.6031},
}

@article{oqc11,
  AUTHOR =       {Pavel B\v{e}l\'{\i}k and Mitchell Luskin},
  TITLE =        {Analysis of the Quasi-nonlocal Approximation of Linear and Circular Chains in the Plane},
  NOTE =         {arXiv:1008.3716},
  journal="SIAM J. Multiscale Modeling \&
Simulation",
year="2011",
volume=9,
pages="1495--1527"
}

@article{bqce11,
author = {Brian {Van Koten} and Mitchell Luskin},
collaboration = {},
title = {Analysis of Energy-Based Blended Quasi-Continuum Approximations},
publisher = {SIAM},
year = {2011},
journal = {SIAM Journal on Numerical Analysis},
volume = {49},
number = {5},
pages = {2182-2209},
keywords = {quasi-continuum; error analysis; atomistic-to-continuum},
url = {http://link.aip.org/link/?SNA/49/2182/1},
doi = {10.1137/10081071X}
}

@INCOLLECTION{encyclopedia11,
  AUTHOR =       {Mitchell Luskin and Christoph Ortner},
  TITLE =        {Atomistic-to-Continuum Coupling},
  BOOKTITLE =    {Encyclopedia of
Applied and Computational Mathematics},
  PUBLISHER =    {Springer},
  editor={Bjorn Engquist},
  YEAR =         {to appear, 2013},
}

@article{parrep,
  AUTHOR =       {Claude Le Bris and T. Leli{\`e}vre and Mitchell Luskin and Danny Perez},
  TITLE =        {A mathematical formalization of the parallel replica dynamics},
  NOTE =         {arXiv:1105.4636},
  journal="Monte Carlo Methods Appl.",
year="2012",
volume=18,
pages="119--146",
}

@article{eam2,
  AUTHOR =       {Xingjie Helen Li and Mitchell Luskin},
  TITLE =        {Lattice Stability
for Atomistic Chains Modeled by Local Approximations of the Embedded Atom Method},
  NOTE =         { arXiv:1108.4473},
  journal="Computational Materials Science",
year="to appear",
}

@article{bqcf,
author="Xingjie Helen Li and Mitchell Luskin and Christoph Ortner",
title="Positive-Definiteness of the Blended Force-Based Quasicontinuum Method",
note={arXiv:1112.2528v1},
journal="SIAM J. Multiscale Modeling \&
Simulation",
year={to appear},
}

@article{bqce12,
author="Mitchell Luskin and Christoph Ortner and Brian {Van Koten}",
title="Formulation and optimization of the
energy-based blended quasicontinuum method",
journal="Computer Methods in Applied Mechanics and Engineering",
note={arXiv: 1112.2377},
year={to appear},
}