both ends—a catenary—can be solved using variational calculus, and in this case, the variational principle is the following: The solution is a function...

In mathematical analysis, Ekeland's variational principle, discovered by Ivar Ekeland, is a theorem that asserts that there exist nearly optimal solutions...

principle Luke's variational principle Mountain pass theorem Category:Variational analysts Measures of central tendency as solutions to variational problems Stampacchia...

In fluid dynamics, Luke's variational principle is a Lagrangian variational description of the motion of surface waves on a fluid with a free surface...

In physics, a variational principle is an alternative method for determining the state or dynamics of a physical system, by identifying it as an extremum...

wavefunctions such as molecular orbitals. The basis for this method is the variational principle. The method consists of choosing a "trial wavefunction" depending...

Feynman's integral method was not a variational principle but reduces to the classical least action principle; it led to his Feynman diagrams. Schwinger's...

Schwinger variational principle is a variational principle which expresses the scattering T-matrix as a functional depending on two unknown wave functions...

It states that the dynamics of a physical system are determined by a variational problem for a functional based on a single function, the Lagrangian,...

the principle of stationary action, an approach to classical mechanics that is simpler for multiple objects. Action and the variational principle are...

The Schwinger's quantum action principle is a variational approach to quantum mechanics and quantum field theory. This theory was introduced by Julian...

In information theory, the principle of minimum Fisher information (MFI) is a variational principle which, when applied with the proper constraints needed...

In astrophysics, Chandrasekhar's variational principle provides the stability criterion for a static barotropic star, subjected to radial perturbation...

compact set attains its minimum. Results from variational analysis such as Ekeland's variational principle allow us to extend this result of lower semicontinuous...

in particular in finite element analysis, the Hu–Washizu principle is a variational principle which says that the action ∫ V e [ 1 2 ε T C ε − σ T ε +...

Luke's variational principle, a variational description of free-surface flows using the Lagrangian mechanics. Bernoulli developed his principle from observations...

via a variational principle, the so-called causal action principle. Since one works with different basic objects, the causal action principle has a novel...

This is a list of variational topics in from mathematics and physics. See calculus of variations for a general introduction. Action (physics) Averaged...

In mathematics, there are many kinds of inequalities involving matrices and linear operators on Hilbert spaces. This article covers some important operator...

parameterise the variational density (for a fixed entropy variational density). This relates free energy minimization to the principle of minimum redundancy...

wavefronts characteristic of a full wave equation, resulting from the variational principle, leads to the corresponding differential equations. The propagation...

analysis, particularly to variational calculus and mathematical optimization. In mathematical analysis, Ekeland's variational principle, discovered by Ivar...

Frieden's derivations is the mathematical variational principle of extreme physical information (EPI). This principle builds on the well-known idea that the...

laws of geometrical optics under a variational principle or action principle, setting the precedent for the principle of least action in classical mechanics...

satisfies the variational condition: By differentiating Eq. (3) using the chain rule, the following equation is obtained: Due to the variational condition...

a variational formulation, a discretization strategy, one or more solution algorithms, and post-processing procedures. Examples of the variational formulation...

engineering thermodynamics. A variational principle in physics, such as the principle of least action or Fermat's principle in optics, allows one to describe...

an extension of the variational Monte Carlo method, in which a time-dependent pure quantum state is encoded by some variational wave function, generally...

The equivalence principle is the hypothesis that the observed equivalence of gravitational and inertial mass is a consequence of nature. The weak form...

filtering scheme for nonlinear state-space models. It is based on a variational principle of least action, formulated in generalized coordinates of motion...