Results 31 to 40 of about 20,567 (306)
A direct method for solving calculus of variations problems using the whale optimization algorithm [PDF]
, 2019 A numerical algorithm for solving problems of calculus of variations is proposed and analyzed in the present paper. The method is based on direct minimizing the functional in its discrete form with finite dimension.
Mehne, Seyed Hamed Hashemi +1 more
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Hyers-Ulam Stability of Euler’s Equation in the Calculus of Variations
Mathematics, 2021 In this paper we study Hyers-Ulam stability of Euler’s equation in the calculus of variations in two special cases: when F=F(x,y′) and when F=F(y,y′). For the first case we use the direct method and for the second case we use the Laplace transform.
Daniela Marian +2 more
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Basic calculus of variations [PDF]
Pacific Journal of Mathematics, 1983 For the classical one-dimensional problem in the calculus of variations, a necessary condition that the integral be lower semicontinuous is that the integrand be convex as a function of the derivative. We shall see that, if the problem is properly posed, then this condition is also necessary for the ^-dimensional problem.
openaire +2 more sources
Variational Principles for Two Compound Nonlinear Equations with Variable Coefficients [PDF]
Journal of Applied and Computational Mechanics, 2021 It is very important to seek explicit variational principles for nonlinear partial differential equations, which are theoretical bases for many methods to solve or analyze the nonlinear phenomena and problems.
Xiao-Qun Cao +4 more
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En Route for the Calculus of Variations
Ratio Mathematica, 2019 Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. An optimal control is an extension of the calculus of variations.
Jan Coufal, Jiří Tobíšek
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Solution of Problems in Calculus of Variations Using Parameterization Technique [PDF]
Engineering and Technology Journal, 2014 In this paper a direct method using parameterization technique is applied for solving some problems in calculus of variations. The parameterization technique based on Laguerre and Hermite polynomials is introduced to reduce a variational problem to ...
Fatema Ahmed Sadeq
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Towards the substantiation of methods for optimizing the transportation work of locomotives under railway operating conditions [PDF]
E3S Web of Conferences, 2023 An analysis of existing methods for optimizing the transportation work of locomotives in operation is presented, based on a refined formulation and criteria for the problem of optimal control of train movement by locomotives of different types of ...
Ablyalimov O.
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Nonconforming finite-element discretization of convex variational problems [PDF]
, 2011 The Lavrentiev gap phenomenon is a well-known effect in the calculus of variations, related to singularities of minimizers. In its presence, conforming finite-element methods are incapable of reaching the energy minimum.
Ortner, Christoph
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Calculus of variations: A differential form approach [PDF]
We study integrals of the form integral(Omega) f(d omega(1), ..., d omega(m)), where m >= 1 is a given integer, 1 R is a continuous function. We introduce the appropriate notions of convexity, namely vectorial ext.
Sil, Swarnendu
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Stochastic calculus of variations [PDF]
, 1981 A theory of stochastic calculus of variations is presented which generalizes the ordinary calculus of variations to stochastic processes. Generalizations of the Euler equation and Noether's theorem are obtained and several conservation laws are discussed.
Yasue, Kunio
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