Anh-Thu Le, R. R. Lucchese, S. Tonzani, T. Morishita, and C. D. Lin Department of Physics, Cardwell Hall, Kansas State University, Manhattan, Kansas 66506, USA Department of Chemistry, Texas A&M University, College Station, Texas 77843-3255, USA Nature Publishing Group, 4 Crinan Street, London N1 9XW, United Kingdom Department of Applied Physics and Chemistry, University of Electro-Communicatio...

We build high order eecient numerical integration methods for solving the linear diierential equation _ X = A(t)X based on Magnus expansion. These methods preserve qualitative geometric properties of the exact solution and involve the use of single integrals and fewer commutators than previously published schemes. Sixth-and eighth-order numerical algorithms with automatic step size control are ...

The present study introduces a generalized 2-unknown’s higher order shear deformation theory (HSDT) for isotropic and orthotropic plates. The well-known Shimpi’s two-unknown's HSDT is reproduced as a special case. Reddy’s shear strain shape function (SSSF) is also adapted to the present generalized theory. The results show that both Shimpi and the adapted Reddy’ HSDT are essentially the same, i...

We give a detailed exposition of the formalism Kinetic Field Theory (KFT) with emphasis on perturbative determination observables. KFT is statistical non-equilibrium classical field theory based path integral formulation mechanics, employing powerful techniques developed in context quantum to describe systems. Unlike previous work KFT, we perform integration over probability distribution initia...