variational problem

variational problem
вариационная задача

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  • Variational inequality — is a mathematical theory intended for the study of equilibrium problems. Guido Stampacchia put forth the theory in 1964 to study partial differential equations. The applicability of the theory has since been expanded to include problems from… …   Wikipedia

  • Variational Monte Carlo — Variational Monte Carlo(VMC) is a quantum Monte Carlo method that applies the variational method to approximate the ground state of the system. The expectation value necessary can be written in the x representation as frac{langle Psi(a) | H |… …   Wikipedia

  • Variational method (quantum mechanics) — The variational method is, in quantum mechanics, one way of finding approximations to the lowest energy eigenstate or ground state, and some excited states. The basis for this method is the variational principle. Introduction Suppose we are given …   Wikipedia

  • Kepler problem in general relativity — The Kepler problem in general relativity involves solving for the motion of two spherical bodies interacting with one another by gravitation, as described by the theory of general relativity.Typically, and in this article, one body is assumed to… …   Wikipedia

  • Obstacle problem — The obstacle problem is a classic motivating example in the mathematical study of variational inequalities and free boundary problems. The problem is to find the equilibrium position of an elastic membrane whose boundary is held fixed, and which… …   Wikipedia

  • Differential variational inequality — In mathematics, a differential variational inequality (DVI) is a dynamical system that incorporates ordinary differential equations and variational inequalities or complementarity problems. DVIs are useful for representing models involving both… …   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

  • Mixed complementarity problem — (MCP) is a problem formulation in mathematical programming. Many well known problem types are special cases of, or may be reduced to MCP. It is a generalization of Nonlinear complementarity problem (NCP). Definition The mixed complementarity… …   Wikipedia

  • Steiner tree problem — Steiner tree for three points A, B, and C (note there are no direct connections between A, B, C). The Steiner point S is located at the Fermat point of the triangle ABC …   Wikipedia

  • Elliptic boundary value problem — In mathematics, an elliptic boundary value problem is a special kind of boundary value problem which can be thought of as the stable state of an evolution problem. For example, the Dirichlet problem for the Laplacian gives the eventual… …   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

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