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Parameter estimation in metabolic flux balance models for batch fermentation - formulation & solution using Differential Variational Inequalities (DVIs)
(SPRINGER, 2006)
Recent years have witnessed a surge in research in cellular biology. There has been particular interest in the interaction between cellular metabolism and its environment. In this work we present a framework for fitting ...
On the solution of generalized equations and variational inequalities
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2011)
Numerical Analysis of a Distributed Optimal Control Problem Governed by an Elliptic Variational Inequality
(Hindawi Publishing Corporation, 2015-09)
The objective of this work is to make the numerical analysis, through the finite element method with Lagrange's triangles of type 1, of a continuous optimal control problem governed by an elliptic variational inequality ...
Unbounded Second-Order State-Dependent Moreau's Sweeping Processes in Hilbert Spaces
(Springer, 2016)
In this paper, an existence and uniqueness result of a class of second-order sweeping processes, with velocity in the moving set under perturbation in infinite-dimensional Hilbert spaces, is studied by using an implicit ...
Exact penalties for variational inequalities with applications to nonlinear complementarity problems
(SPRINGER, 2010)
In this paper, we present a new reformulation of the KKT system associated to a variational inequality as a semismooth equation. The reformulation is derived from the concept of differentiable exact penalties for nonlinear ...
Solution of finite-dimensional variational inequalities using smooth optimization with simple bounds
(Springer/plenum PublishersNew YorkEUA, 1997)
Optimal algorithms for differentially private stochastic monotone variational inequalities and saddle-point problems
(2023)
AbstractIn this work, we conduct the first systematic study of stochastic variational inequality (SVI) and stochastic saddle point (SSP) problems under the constraint of differential privacy (DP). We propose two algorithms: ...
Discontinuous sweeping process with prox regular sets
(EDP Sciences, 2017)
In this paper, we study the well-posedness (in the sense of existence and uniqueness of a solution) of a discontinuous sweeping process involving prox-regular sets in Hilbert spaces. The variation of the moving set is ...