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Showing 1 to 10 of 10 for “"variational calculus"”.
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Aplicação do método de Ritz extendido na análise de vibrações e estabilidade dinâmica de placas circulares
… a review of the basic principles of the variational calculus is presented. Then, the problem of axisylmmetric, transverse vibrations of a circular plate with torsional elastic support at its edge is solved. Finally, it is analyse:i the problem of a rotating circular plate with a central …
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Variational Methods for Nonlinear Partial Differential Equations
… of this work is to explain some basic aspects of variational methods for solving a class of nonlinear partial differential equations. First, relevant mathematical background of functional analysis and variational calculus is explained. One of the main results discussed is the existence theorem for …
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Cálculo da condutividade térmica efetiva de meios heterogêneos com múltiplas escalas via homogeneização reiterada e elementos finitos
… methodology is developed, based on the variational calculus, the theory of reiterated homogenization and the finite element method, to computationally determine the effective thermal conductivity of composite materials with two homogeneous and isotropic phases, with perfect thermal …
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Discrete and dynamic population models with logistic growth rate
… equation is investigated in the quantum calculus time setting. The existence of the globally attracting periodic solution of the Beverton-Holt <em>q</em>-difference equation is derived and modified versions of the second Cushing-Henson conjecture are presented.</p> <p>To include …
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The Transient Response of Flat Plates Using the Finite Element Method
… system with that of a plate continuum using the variational calculus. The transient response of the former may be determined by solving a matrix eigenvalue problem followed by modal analysis. In contrast the equation of motion of a plate is derived as a fourth order partial differential equation. …
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The dynamics of metabolic regulation
… I apply some classical tools from physics (variational calculus) and operations research (optimization theory). The results shed light on the interdependent role of structure and function in the design of metabolic systems, as well as on the contemporary challenge of integrating …
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Asymptotic analysis for multi-user channels
… to the game are obtained using methods of variational calculus. For multiple access channels we study the maximum achievable rate region for a given blocklength n and a desired error probability epsilon. The inner region for the discrete memoryless MAC is approximated by a single-lettered …
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Object Tracking And Activity Recognition In Video Acquired Using Mobile Cameras
… discriminant analysis, which is formulated as a variational calculus problem. Once the contour is initialized, the method generates an online shape model for the object along with the color and the texture priors for both the object and the background regions. A priori texture and color PDFs of …
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Sustainable and reliable design of large-scale complex logistics systems under competition and uncertainties
… risks over space. Functional optimization, e.g., variational calculus, is used to derive the equilibrium conditions and suggest numerical algorithms. A series of numerical experiments are conducted for both hypothetical test cases and a Midwest case study to (i) show computational performance and …
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Variational problems on supermanifolds
In this thesis, we discuss the formulation of variational problems on supermanifolds. Supermanifolds incorporate bosonic as well as fermionic degrees of freedom. Fermionic fields take values in the odd part of an appropriate Grassmann algebra and are thus showing an anticommutative behaviour. …