Bipartite fidelity for models with periodic boundary conditions

Molecular dynamics with helical periodic boundary conditions

Helical symmetry is often encountered in nature and thus also in molecular dynamics (MD) simulations. In many cases, an approximation based on infinite helical periodicity can save a significant amount of computer time. However, standard simulations with the usual periodic boundary conditions (PBC) are not easily compatible with it. In the present study, we propose and investigate an algorithm ...

Perturbation of Periodic Boundary-Conditions

Fast Algorithms for Spectral Collocation with Non-Periodic Boundary Conditions

Fast Algorithms with Applications to PDEs

Bifurcation for Second-Order Hamiltonian Systems with Periodic Boundary Conditions

Through variational methods, we study nonautonomous systems of second-order ordinary differential equations with periodic boundary conditions. First, we deal with a nonlinear system, depending on a function u, and prove that the set of bifurcation points for the solutions of the system is not σ-compact. Then, we deal with a linear system depending on a real parameter λ > 0 and on a function u, ...

Solution of Inverse Euler-Bernoulli Problem with Integral Overdetermination and Periodic Boundary Conditions

In this work, we tried to find the inverse coefficient in the Euler problem with over determination conditions. It showed the existence, stability of the solution by iteration method and linearization method was used for this problem in numerical part. Also two examples are presented with figures.