variational calculus

См. также в других словарях:

• Variational methods in general relativity — refers to various mathematical techniques that employ the use of variational calculus in Einstein s theory of general relativity. The most commonly used tools are Lagrangians and Hamiltonians and are used to derive the Einstein field… …   Wikipedia

• Calculus — This article is about the branch of mathematics. For other uses, see Calculus (disambiguation). Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables …   Wikipedia

• Calculus of variations — is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite …   Wikipedia

• Variational principle — A variational principle is a principle in physics which is expressed in terms of the calculus of variations. According to Cornelius Lanczos, any physical law which can be expressed as a variational principle describes an expression which is self… …   Wikipedia

• calculus of variations — the branch of mathematics that deals with the problem of finding a curve or surface that maximizes or minimizes a given expression, usually with several restrictions placed on the desired curve. [1830 40] * * * ▪ mathematics       branch of… …   Universalium

• Variational vector field — In the mathematical fields of the calculus of variations and differential geometry, the variational vector field is a certain type of vector field defined on the tangent bundle of a differentiable manifold which gives rise to variations along a… …   Wikipedia

• History of variational principles in physics — A variational principle in physics is an alternative method for determining the state or dynamics of a physical system, by identifying it as an extremum (minimum, maximum or saddle point) of a function or functional. This article describes the… …   Wikipedia

• Secondary calculus and cohomological physics — In mathematics, secondary calculus is a proposed expansion of classical differential calculus on manifolds, to the space of solutions of a (nonlinear) partial differential equation. It is a sophisticated theory at the level of jet spaces and… …   Wikipedia

• List of variational topics — This is a list of variational topics in from mathematics and physics. See calculus of variations for a general introduction.*Action (physics) *Brachistochrone curve *Calculus of variations *Catenoid *Cycloid *Dirichlet principle *Euler–Lagrange… …   Wikipedia

• Malliavin calculus — The Malliavin calculus, named after Paul Malliavin, is a theory of variational stochastic calculus. In other words it provides the mechanics to compute derivatives of random variables. The original motivation for the development of the subject… …   Wikipedia

• Stochastic calculus — is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals of stochastic processes with respect to stochastic processes. It is used to model systems that behave… …   Wikipedia