We shall do this by combining and extending two recent developments: a recent reformulation of the enhanced sampling problem into a powerful variational principle
that opens a wealth of possibilities and provides a novel and fruitful standpoint for new developments; and a procedure for extracting rates from enhanced runs.
Application of the generalized Castigliano's variational principle
for studies of the post-critical state of thin elastic shells.
Its variational principle
can be established using the semi-inverse method [27, 28]:
In the presence of the gradient term to the local magnetic free energy, using variational principle
, after scaling, we obtain the Euler - Lagrange equation for M as,
Key words: vibrations, variational principle
, displacements fields, connecting rod
By using the semi-inverse method  the variational principle
of the Eq.
OPTICAL SOLITONS BY HE'S VARIATIONAL PRINCIPLE
IN A NON-KERR LAW MEDIA.
of the MHD variational principle
, where p is the fluid pressure and the gas constant is zero.
Similarly, quantum dynamics methods based on the variational principle
such as the Multi-Configuration Time-Dependent Hartree (MCTDH), hold out similar promise in the study of adiabatic and non-adiabatic processes, because of their generality, applicability and fast convergence towards the exact solution.
Cobzas: Completeness in quasi-metric spaces and Ekeland Variational Principle
, Topology Appl.
This, allows us to determine both static and dynamic characteristics in solving Reynolds equation numerically using the variational principle
Like ordinary electrodynamics, this theory is derived from the variational principle
where regular expressions are used.