Ivan D. Gospodinov

TL;DR: In this article, the authors presented a novel shooting method for solving two-point boundary value problems for second order ordinary differential equations, which works as follows: first, a guess for the initial condition is made and an integration of the differential equation is performed to obtain an initial value problem solution; then, the end value of the solution is used in a simple iteration formula to correct the original condition; the process is repeated until the second boundary condition is satisfied.

TL;DR: This study extends and applies to more complex systems the method introduced in a previous paper that uses Bennett's acceptance ratio method for estimating MUCA free energies and demonstrates that different types of MUCA simulations can be conveniently performed over different macrostate regions.

TL;DR: A novel shooting method for solving two-point boundary value problems for second order ordinary differential equations using an auxiliary function that satisfies both boundary conditions and minimizes the H1 semi-norm of the difference between itself and the initial value problem solution.

TL;DR: Results provide evidence that the topology varies from predominantly linear with many short branches at low P w to a densely branched,globular structure at high P w, and indicate that the branching topology has an effect on this relation.

TL;DR: This paper shows how an EoS can be used to extract the density of states (Omega) of a system thus establishing a deeper connection between EoSs and statistical thermodynamics.