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Number of items: 9.

Luskin, Mitchell Barry, Ortner, Christoph and Van Koten, B. (2013) Formulation and optimization of the energy-based blended quasicontinuum method. Computer Methods in Applied Mechanics and Engineering, Volume 253 (Number 1). pp. 160-168. doi:10.1016/j.cma.2012.09.007 ISSN 0045-7825.

Koten, Brian Van and Ortner, Christoph (2013) Symmetries of 2-lattices and second order accuracy of the Cauchy-Born model. Multiscale Modeling & Simulation, Volume 11 (Number 2). pp. 615-634. doi:10.1137/120870220 ISSN 1540-3459.

Luskin, Mitchell Barry and Ortner, Christoph (2012) Linear stationary iterative methods for the force-based quasicontinuum approximation. In: Engquist, BjΓΆrn, 1945- and Runborg, Olof and Tsai, Yen-Hsi R., (eds.) Numerical Analysis of Multiscale Computations. Lecture notes in computational science and engineering, Volume 82 . Berlin: Springer, pp. 331-368. ISBN 9783642219429

Li, Xingjie Helen, Luskin, Mitchell Barry and Ortner, Christoph (2012) Positive definiteness of the blended force-based quasicontinuum method. Multiscale Modeling & Simulation, Volume 10 (Number 3). pp. 1023-1045. doi:10.1137/110859270 ISSN 1540-3459.

Koten, Brian Van, Li, Xingjie Helen, Luskin, Mitchell Barry and Ortner, Christoph (2012) A computational and theoretical investigation of the accuracy of quasicontinuum methods. In: Graham, Ivan G. and Hou, Thomas Y. and Lakkis, Omar and Scheichl, Robert, 1972-, (eds.) Numerical analysis of multiscale problems. Lecture notes in computational science and engineering, Volume 83 . Berlin: Springer, pp. 67-96. ISBN 9783642220609

Dobson, Matthew, Luskin, Mitchell Barry and Ortner, Christoph (2010) Accuracy of quasicontinuum approximations near instabilities. Journal of the Mechanics and Physics of Solids, Volume 58 (Number 10). pp. 1741-1757. doi:10.1016/j.jmps.2010.06.011 ISSN 0022-5096.

Dobson, Matthew, Luskin, Mitchell Barry and Ortner, Christoph (2010) Stability, instability, and error of the force-based quasicontinuum approximation. Archive for Rational Mechanics and Analysis, Volume 197 (Number 1). pp. 179-202. doi:10.1007/s00205-009-0276-z ISSN 0003-9527.

Dobson, Matthew, Luskin, Mitchell Barry and Ortner, Christoph (2010) Sharp stability estimates for the force-based quasicontinuum approximation of homogeneous tensile deformation. Multiscale Modeling & Simulation, Volume 8 (Number 3). pp. 782-802. doi:10.1137/090767005 ISSN 1540-3459.

Luskin, Mitchell Barry and Ortner, Christoph (2009) An analysis of node-based cluster summation rules in the quasicontinuum method. SIAM Journal on Numerical Analysis, Volume 47 (Number 4). pp. 3070-3086. doi:10.1137/080743391 ISSN 0036-1429.

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