On the benefit of ∈-efficient solutions in multi objective space mission design [PDF]
, 2008 In this work we consider multi-objective space mission design problems. We will show that it makes sense from the practical point of view to consider in addition to the (Pareto) optimal solutions also nearly optimal ones since this increases ...
Vasile, M. +2 more
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On the detection of nearly optimal solutions in the context of single-objective space mission design problems [PDF]
, 2011 When making decisions, having multiple options available for a possible realization of the same project can be advantageous. One way to increase the number of interesting choices is to consider, in addition to the optimal solution x*, also nearly optimal
Vasile, Massimiliano +3 more
core +4 more sources
Computing the set of Epsilon-efficient solutions in multiobjective space mission design [PDF]
, 2011 In this work, we consider multiobjective space mission design problems. We will start from the need, from a practical point of view, to consider in addition to the (Pareto) optimal solutions also nearly optimal ones.
Vasile, Massimiliano +2 more
core +4 more sources
Numerical solutions of neutral stochastic functional differential equations [PDF]
, 2008 This paper examines the numerical solutions of neutral stochastic functional differential equations (NSFDEs) $d[x(t)-u(x_t)]=f(x_t)dt+g(x_t)dw(t)$, $t\geq 0$.
Wu, Fuke +2 more
core +4 more sources
Analytical Approximate Solutions for Scalarized AdS Black Holes
Universe, 2022 The spontaneous scalarization of Schwarzscild-AdS is investigated in the Einstein-scalar-Gauss–Bonnet (ESGB) theory. Firstly, we construct scalarized AdS black holes numerically.
De-Cheng Zou +5 more
doaj +1 more source
Convergence To Approximate Solutions of Multivalued Operators
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 The goal of this study is to provide a new explicit iterative process method approach for solving maximal monotone(M.M )operators in Hilbert spaces utilizing a finite family of different types of mappings as( nonexpansive mappings,resolvent mappings ...
Zena Hussein Maibed
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Approximate solutions in space mission design [PDF]
, 2008 In this paper, we address multi-objective space mission design problems. From a practical point of view, it is often the case that,during the preliminary phase of the design of a space mission, the solutions that are actually considered are not 'optimal'
Vasile, M. +8 more
core +1 more source
APPROXIMATE SOLUTIONS OF GRETZ - NUSSELT PROBLEM
Известия высших учебных заведений: Нефть и газ, 2015 The approximate solutions of Gretz - Nusselt problem are provided in the article. For these solutions their application range and a definition of errors occurred at solving the differential equation of energy are given.
V. G. Milyutin, V. S. Loginov
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A Novel Scheme of the ARA Transform for Solving Systems of Partial Fractional Differential Equations
Fractal and Fractional, 2023 In this article, a new analytical scheme of the ARA transform is introduced to solve systems of fractional partial differential equations. The principle of the proposed technique is based on combining the ARA transform with the residual power series ...
Aliaa Burqan
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The Hellmann–Feynman theorem, the comparison theorem, and the envelope theory
Results in Physics, 2015 The envelope theory is a convenient method to compute approximate solutions for bound state equations in quantum mechanics. It is shown that these approximate solutions obey a kind of Hellmann–Feynman theorem, and that the comparison theorem can be ...
Claude Semay
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