Derivation of Higher Order Gradient Continuum Models from Atomistic Models for Crystalline Solids. - Marcel Arndt; Michael Griebel (Multiscale Model. Simul., 2005)

Error Estimation and Atomistic-Continuum Adaptivity for the Quasicontinuum Approximation of a Frenkel-Kontorova Model. - Marcel Arndt; Mitchell Luskin (Multiscale Model. Simul., 2008)

Efficient algorithms for discrete lattice calculations. - Marcel Arndt; V. Sorkin; Ellad B. Tadmor (J. Comput. Phys., 2009)