variational method

In 1912 he provided a new proof based on variational methods.

This calculation is undertaken by a variational method using a trial potential to first order.

As with other variational methods, a trial wave function, , is tested on the system.

A variational method applies the calculus of variations and can refer to:

Lastly, the journal publishes modern variational methods in mechanics in general.

In the development of spectral asymptotics, the crucial role was played by variational methods and microlocal analysis.

The 3DDA variational methods were developed for the first time by Sasaki (1958).

Ritz is also known for the variational method named after him, the Ritz method.

It uses variational methods (the Calculus of variations) to minimize an error function and produce a stable solution.

Variational methods in mechanics.

There exist ways to convert them into convergent series, which can be evaluated for large-expansion parameters, most efficiently by Variational method.

In quantum mechanics, the variational method is one way of finding approximations to the lowest energy eigenstate or ground state, and some excited states.

Courant, R. Variational methods for the solution of problems of equilibrium and vibrations.

The cluster variational method and the survey propagation algorithms are two different improvements to belief propagation.

A powerful approximation method is mean field theory, which is a variational method based on the Bogoliubov inequality.

Finite element method is a variational method for finding approximate solutions to boundary value problems in differential equations.

Whilst variational methods at least provide us with upper bounds, many modern approaches such as the use of many-body perturbation theory are non-variational.

By invoking the variational method, one can derive a set of N-coupled equations for the N spin orbitals.

There are other approximate methods for marginalization including variational methods and Monte Carlo methods.

The Hartree-Fock method and the Ritz method both apply the variational method.

The DMRG is an iterative, variational method that reduces effective degrees of freedom to those most important for a target state.

When faced with such systems, one usually turns to other approximation schemes, such as the variational method and the WKB approximation.

In order to check that the energy of the configuration is smaller than Qm, one should either to calculate this energy numerically or to use the variational method.

Jordan was also prominent in the formalisation of variational methods for approximate inference and the popularisation of the expectation-maximization algorithm in machine learning.

The variational principle formulated above is the basis of the variational method used in quantum mechanics and quantum chemistry to find approximations to the ground state.