calculus of variations


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calculus of variations

n.
Mathematical analysis of the maxima and minima of definite integrals, the integrands of which are functions of independent variables, dependent variables, and the derivatives of one or more dependent variables.

calculus of variations

n
(Mathematics) a branch of calculus concerned with maxima and minima of definite integrals
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.calculus of variations - the calculus of maxima and minima of definite integrals
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
infinitesimal calculus, calculus - the branch of mathematics that is concerned with limits and with the differentiation and integration of functions
Translations
Variační počet
Variationsrechnung
cálculo de variaciones
حسابان وردش‌ها
Calcul des variations
חשבון וריאציות
Calcolo delle variazioni
変分法
Rachunek wariacyjny
Variacijski račun
Варіаційне числення
References in periodicals archive ?
of Tokyo) introduces researchers and graduate students to the stochastic calculus of variation, also called Malliavin calculus, for processes with jumps--that is both pure jump processes and jump-diffusions.
Recently several authors have contributed to the development of the calculus of variations on time scales (for instance, see [3,11,12]).
This edition has been expanded to include chapters on: integral equations, calculus of variations, tensor analysis, time series, and partial fractions.
According to her Web site, her research focuses on calculus of variations and symmetry methods for differential equations.
He includes the calculus of variations and optimal control, historical notes on the calculus of variations, preliminaries on the simplest problems, necessary conditions for local minima, sufficient conditions for the simplest problems, extensions and generalizations, applications, optimal control problems, simplest problems in optimal control, extension of the maximum principal, and linear control systems.
A direct impact of this fact is viewed in the calculus of variations setting, where A = 0 and B = I (with m = n) and where the corresponding Jacobi system ([J.
The theoretical section begins with a self-contained chapter on parameter optimization, presented via 14 theorems, then covers the calculus of variations, the minimum principle of Pontryagin and Hestenes, and the Jacobi test.
Applications to regular and bang-bang control; second-order necessary and sufficient optimality conditions in calculus of variations and optimal control.
Chapters cover the following standard topics: the calculus of variations, Lagrangian mechanics, Hamiltonian mechanics, motion in a central field, collisions and scattering theory, motion in a non-inertial frame, rigid body motion, normal-mode analysis, and continuous Lagrangian systems.
3) arise as second variations in nonlinear calculus of variations and optimal control problems, see e.
All there is to know about functional analysis, integral equations and calculus of variations in one handy volume, written for the specific needs of physicists and applied mathematicians.