Pisa Spring School on Calculus of Variations Minimization with Global Constraints
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منابع مشابه
An analytic study on the Euler-Lagrange equation arising in calculus of variations
The Euler-Lagrange equation plays an important role in the minimization problems of the calculus of variations. This paper employs the differential transformation method (DTM) for finding the solution of the Euler-Lagrange equation which arise from problems of calculus of variations. DTM provides an analytical solution in the form of an infinite power series with easily computable components. S...
متن کاملCurriculum vitæ
Personalia Date of birth: 27 December 1965. Place of birth: Lucca (Italy). Nationality: Italian. Civil state: married with Luisa Allara. Children: one step-daughter named Lavinia, and one daughter named Athena Livia. (in italian): Modelli di teorie dei Fondamenti della Matematica con proprietà di autoriferimento. The title means: Models of theories for the Foundations of Mathematics with proper...
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A Class of new methods based on a septic non-polynomial spline function for the numerical solution of problems in calculus of variations is presented. The local truncation errors and the methods of order 2th, 4th, 6th, 8th, 10th, and 12th, are obtained. The inverse of some band matrixes are obtained which are required in proving the convergence analysis of the presented method. Convergence anal...
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The Karush-Kuhn-Tucker (KKT) conditions can be regarded as optimality conditions for both variational inequalities and constrained optimization problems. In order to overcome some drawbacks of recently proposed reformulations of KKT systems, we propose to cast KKT systems as a minimization problem with nonnegativity constraints on some of the variables. We prove that, under fairly mild assumpti...
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