A new constructing auxiliary function method for global optimization
Mathematical and Computer Modelling, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Yong-Jun, Zhang, Jiang-She
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Spatial prediction of soil electrical conductivity using soil axillary data, soft data derived from general linear model and error measurement [PDF]
Desert, 2020 Indirect measurement of soil electrical conductivity (EC) has become a major data source in spatial/temporal monitoring of soil salinity. However, in many cases, the weak correlation between direct and indirect measurement of EC has reduced the accuracy ...
N. Hamzehpour, M. Rahmati, B. Roohzad
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A new auxiliary function method for general constrained global optimization
Optimization, 2013 In this article, we first propose a method to obtain an approximate feasible point for general constrained global optimization problems (with both inequality and equality constraints). Then we propose an auxiliary function method to obtain a global minimizer or an approximate global minimizer with a required precision for general global optimization ...
Z.Y. Wu +3 more
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On optimal solution error covariances in variational data assimilation problems [PDF]
, 2010 The problem of variational data assimilation for a nonlinear evolution model is formulated as an optimal control problem to find unknown parameters such as distributed model coefficients or boundary conditions. The equation for the optimal solution error
(Funder), Scottish Founding Council via GRPE +3 more
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Solving nonlinearly constrained global optimization problem via an auxiliary function method
Journal of Computational and Applied Mathematics, 2009 Constrained continuous global minimization problems can be converted to unconstrained ones by adding a penalty term to the objective function. Penalty function methods require usually the determination of parameters, so that constrained and unconstrained problems have global minimizers.
Zhu, Wenxing, Ali, M.M.
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Open Physics, 2023 Abstract The optimal auxiliary function method (OAFM) is introduced and used in the analysis of a nonlinear system containing coupled Schrödinger–KdV equations, all within the framework of the Caputo operator. The OAFM, known for its efficiency in solving nonlinear issues, is used to obtain approximate solutions for the coupled equations’
Alshehry Azzh Saad +4 more
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Multilevel Preconditioning of Discontinuous-Galerkin Spectral Element Methods, Part I: Geometrically Conforming Meshes [PDF]
, 2013 This paper is concerned with the design, analysis and implementation of preconditioning concepts for spectral Discontinuous Galerkin discretizations of elliptic boundary value problems.
C. Canuto +4 more
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Alexandria Engineering Journal, 2023 In this article, a semi-analytical approach known as the optimal auxiliary function method is extended to the approximate solution of non-linear partial differential equations. The fifth order lax and swada-kotera equations are taken as test examples. Utilizing the well-known least squares method, the optimal convergence control parameter values in the
Rashid Nawaz +5 more
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A bi-level programming approach for trip matrix estimation and traffic control problems with stochastic user equilibrium link flows [PDF]
, 2001 This paper deals with two mathematically similar problems in transport network analysis: trip matrix estimation and traffic signal optimisation on congested road networks. These two problems are formulated as bi-level programming problems with stochastic
Bard +21 more
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Exploring the impact of different cost heuristics in the allocation of safety integrity levels [PDF]
, 2014 Contemporary safety standards prescribe processes in which system safety requirements, captured early and expressed in the form of Safety Integrity Levels (SILs), are iteratively allocated to architectural elements.
Araújo, Rui Esteves +6 more
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