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A Note on Variational Methods [PDF]
Proceedings of the American Mathematical Society, 1964 In this note a new development of the variational method due to G. M. Golusin will be given. The Golusin variational method, found in Geometrische Funktionentheorie [1, pp. 96-105], is established there only after rather lengthy and tedious considerations. Below, the interior variational formula of M. M.
J. T. Poole
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Metric Methods in Calculus of Variations [PDF]
Proceedings of the National Academy of Sciences, 1937 1. In each problem of calculus of variations there are four fundamental data: (I) A point-space S or a domain of a point-space. (II) A function φ from which there is derived a functional in a class P of entities of S whose dimensions are ≧ 1. With each element C of & there is associated a number, say λ>φ,(C), by a process of integration of ϕ along C ...
Karl Menger
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Extensions of Variational Methods, I [PDF]
Progress of Theoretical Physics, 1955 Takashi Kikuta
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Network element methods for linear elasticity
Comptes Rendus. Mécanique, 2023 We explain how to derive a network element for the linear elasticity problem. After presenting sufficient conditions on the network for the validity of a discrete Korn inequality, we also propose several variations of the presented method and in ...
Coatléven, Julien
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On three-step iterative schemes associated with general quasi-variational inclusions
Alexandria Engineering Journal, 2022 In this paper, we investigate new classes of general quasi-variational inclusions. In this regard, we prove that general quasi-variational inclusions and fixed point problems are equivalent.
Muhammad Aslam Noor +3 more
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The variational method of moments
Journal of the Royal Statistical Society Series B: Statistical Methodology, 2023 Abstract The conditional moment problem is a powerful formulation for describing structural causal parameters in terms of observables, a prominent example being instrumental variable regression. We introduce a very general class of estimators called the variational method of moments (VMM), motivated by a variational minimax reformulation
Bennett, Andrew, Kallus, Nathan
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Variational Methods in Optical Quantum Machine Learning
IEEE Access, 2023 The computing world is rapidly evolving and advancing, with new ground-breaking technologies emerging. Quantum Computing and Quantum Machine Learning have opened up new possibilities, providing unprecedented computational power and problem-solving ...
Marco Simonetti +2 more
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Variational Estimation Methods for Sturm–Liouville Problems
Mathematics, 2022 In this paper, we are concerned with approach solutions for Sturm–Liouville problems (SLP) using variational problem (VP) formulation of regular SLP.
Elena Corina Cipu, Cosmin Dănuţ Barbu
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Improved variational methods in statistical data assimilation [PDF]
Nonlinear Processes in Geophysics, 2015 Data assimilation transfers information from an observed system to a physically based model system with state variables x(t). The observations are typically noisy, the model has errors, and the initial state x(t0) is uncertain: the data assimilation ...
J. Ye +4 more
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Inertial projection methods for solving general quasi-variational inequalities
AIMS Mathematics, 2021 In this paper, we consider a new class of quasi-variational inequalities, which is called the general quasi-variational inequality. Using the projection operator technique, we establish the equivalence between the general quasi-variational inequalities ...
Saudia Jabeen +3 more
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