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Analysis of the Time Reversible Born-Oppenheimer Molecular Dynamics
Ab initio molecular dynamics self-consistent field iteration time reversibility
2014/9/26
We analyze the time reversible Born-Oppenheimer molecular dynamics
(TRBOMD) scheme, which preserves the time reversibility of the Born-Oppenheimer
molecular dynamics even with non-convergent self-co...
A third-order accurate direct Eulerian GRP scheme for the Euler equations in gas dynamics
Godunov-type scheme generalized Riemann problem Riemann problem
2014/9/26
The paper proposes and implements a third-order accurate direct Eulerian gen-eralized Riemann problem (GRP) scheme for one- and two-dimensional (1D & 2D)
Euler equations in gas dynamics. It is an ext...
Random Noise and Pole-Dynamics in Unstable Front Propagation II
Random Noise Pole-Dynamics Propagation analytic tool
2011/7/5
The current paper is a corrected version of our previous paper [1]. Similarly to previous version
we investigate the problem of flame propagation. This problem is studied as an example of unstable
f...
Lipeomorphic equivalence for p-adic analytic functions: a comparison between complex and p-adic dynamics
p-adic analytic functions complex p-adic dynamics
2010/11/17
Let K be a p-adic field, and suppose that f and g are germs of analytic functions on K which are tangent to the identity at 0. It is known that f and g are homeomorphically equivalent, meaning there ...
Entropy for symbolic dynamics with overlapping alphabets
Entropy for symbolic dynamics overlapping alphabets
2010/11/22
We consider shift spaces in which elements of the alphabet may overlap nontransitively. We define a notion of entropy for such spaces, give several techniques for computing lower bounds for it, and s...
Strong Semiclassical Approximation of Wigner Functions for the Hartree Dynamics
Strong Semiclassical Approximation Wigner Functions Hartree Dynamics
2010/11/29
We consider the Wigner equation corresponding to a nonlinear Schr¨odinger evolution of the Hartree type in the semiclassical limit ~ → 0.
Measure-Differential Inclusions in Percussional Dynamics
Particle dynamics normal percussions bounded variation measure-differential inclusions
2009/2/5
We give an existence result for the dynamics of a system of particles moving on a line in a horizontal plane and subjected to friction, to percussional effects, to stiffness and to damping. The novelt...