variational principle


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variational principle

[‚ver·ē′ā·shən·əl ‚prin·sə·pəl]
(mathematics)
A technique for solving boundary value problems that is applicable when the given problem can be rephrased as a minimization problem.
References in periodicals archive ?
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.
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,
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 [1-3].
Like ordinary electrodynamics, this theory is derived from the variational principle where regular expressions are used.