variational principle

In 1912 he suggested a new proof, based on variational principles.

Closed geodesics can be characterized by means of a variational principle.

It reflects the relation between the boundary conditions and the variational principle.

The basis for this method is the variational principle.

Either the reciprocity theorem or the variational principle have been used.

These two general scenarios give rise to two often stated variational principles.

For the next four years the sharp realities of my world were variational principles, Lie algebra, and field theory.

Because of the variational principle, the action for all of the configurations on the orbit is the same.

Thus, for example, the geodesic equations may be obtained by applying variational principles to either the length or the energy.

All classical equations of motion can be derived from this variational principle:

However, in stronger bias regimes a more sophisticated treatment is required, as there is no longer a variational principle.

Hamilton's principle is an important variational principle in elastodynamics.

Feynman introduced a variational principle for path integrals to study the polaron.

He is famous for his work in topology and differential geometry, to which he applied the variational principle.

An important variational principle relates the notions of topological and measure-theoretic entropy.

The Einstein equation also involves a variational principle, the Einstein-Hilbert action.

The equations governing ordinary gravity in free space can be obtained from an action, by applying the variational principle to a certain action.

This is in agreement with the variational principles for inviscid flow without a free surface, found by Harry Bateman.

Non-divergent wind fields are produced by a procedure based on the variational principle and a finite-element discretization.

The GLM concept can also be incorporated into variational principles of fluid flow.

Bach tensor, for a sometimes useful tensor generated by via a variational principle.

Classically, optics is based on a variational principle: light travels from one point in space to another in the shortest time.

Formally this approximation is founded on the variational principle, valid for Hamiltonians that are bounded from below.

Komkov, Vadim (1986) Variational principles of continuum mechanics with engineering applications.

The Einstein-Hilbert action is the basis for the most elementary variational principle from which the field equations of general relativity can be defined.