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Titlebook: Numerical Analysis and Optimization; NAO-IV, Muscat, Oman Mehiddin Al-Baali,Lucio Grandinetti,Anton Purnama Conference proceedings 2018 Spr

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,On the Consistency of Runge–Kutta Methods Up to Order Three Applied to the Optimal Control of Scala hyperbolic nature of the state system introduces specific requirements on discretization schemes such that the discrete adjoint states associated with the control problem converge as well. Moreover, conditions on the RK coefficients are derived that coincide with those characterizing strong stabili
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,A Time-Delay Neural Network Model for Unconstrained Nonconvex Optimization,neral neural network models for unconstrained nonconvex optimization problems. Based on this analysis, a novel time-delay neural network model is proposed for unconstrained nonconvex optimization. The simulation results of the new neural network on two examples indicate that the new neural network i
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Stabilized Optimization Via an NCL Algorithm,ted Lagrangian approaches of LANCELOT and MINOS to an algorithm that solves a sequence of nonlinearly constrained augmented Lagrangian subproblems whose nonlinear constraints satisfy the LICQ everywhere. The NCL algorithm is implemented in AMPL and tested on large instances of a tax policy model tha
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Optimal Error Estimates for Semidiscrete Galerkin Approximations to Multi-dimensional Sobolev Equatction. Some a priori estimates for the exact solution, which are valid uniformly in time as . and even uniformly in the coefficient of dispersion . as . are derived. Further, optimal error estimates for semidiscrete Galerkin approximations in . and .-norms are established, which again preserve the e
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Equilibria and Weighted Complementarity Problems,., .) belonging to the intersection of a manifold with a cone, such that their product in a certain algebra, ., equals a given weight vector .. When . is the zero vector, then wCP reduces to a Complementarity Problem (CP). The motivation for introducing the more general notion of a wCP lies in the f
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A Mathematical Approach to Living on Sinking Ground,timal height of such a dike in the future. The model minimizes the sum of investment costs and expected damage costs. It is highly nonlinear, nonconvex, and infinite-dimensional. Despite this, it is shown that the model can be solved analytically. Our model has been used in the Netherlands to define
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