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Mixed-integer nonlinear optimization

Acta Numerica, 2013
Many optimal decision problems in scientific, engineering, and public sector applications involve both discrete decisions and nonlinear system dynamics that affect the quality of the final design or plan. These decision problems lead to mixed-integer nonlinear programming (MINLP) problems that combine the combinatorial difficulty of optimizing over ...
Pietro Belotti   +5 more
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Granularity in Nonlinear Mixed-Integer Optimization

Journal of Optimization Theory and Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christoph Neumann 0002   +2 more
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Nonlinear Mixing in the Ionosphere

Physica Scripta, 1980
It has been proposed to sound the ionosphere by means of nonlinear mixing of two VHF/UHF waves of different frequency. This paper studies the problem theoretically, including the earth's magnetic field, collisions and plasma inhomogeneity. We find that collisions, and sideways drift of wave packets due to perpendicular components of the group velocity,
K B Dysthe, E Mjølhus, J Trulsen
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On the solution of a mixed nonlinear integral equation

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. A. Abdou 0001   +2 more
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Nonlinear Mixing in Nanowire Subwavelength Waveguides

Nano Letters, 2011
The realization of nonlinear photonic circuits to achieve the control of light-by-light is contingent upon a strong nonlinear response that can be captured in a guided-wave geometry. There remains a need to further scale down waveguides while maintaining a strong nonlinear response.
Carl J, Barrelet   +3 more
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Thermal nonlinear oscillator in mixed convection

Physical Review E, 2011
A detailed numerical simulation is carried out for transient laminar flow opposing mixed convection in a downward vertical channel flow with both walls suddenly subjected to isothermal heat sources over a finite portion of the channel walls, by solving the unsteady two-dimensional Navier-Stokes and energy equations. The dynamical behavior of the system
L, Martínez-Suástegui   +2 more
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Nonlinear Mixing of Electromagnetic Waves in Plasmas

Science, 1989
Recently, a strong research effort has been focused on applications of beat waves in plasma interactions. This research has important implications for various aspects of plasma physics and plasma technology. This article reviews the present status of the field and comments on plasma probing, heating of magnetically confined and laser plasmas ...
V, Stefan, B I, Cohen, C, Joshi
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Nonlinear and Mixed Integer Linear Programming

2012
In this chapter we compare continuous nonlinear optimization with mixed integer optimization of water supply networks by means of a meso scaled network instance. We introduce a heuristic approach, which handles discrete decisions arising in water supply network optimization through penalization using nonlinear programming.
Kolb, Oliver   +3 more
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Nonlinear unmixing with a multilinear mixing model

2015 7th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS), 2015
We introduce a new nonlinear hyperspectral mixing model which takes all orders of spectral interactions between end-members into account. This model can be considered an extension of bilinear models to all orders, and is based on a Markov chain interpretation of the optical reflection process in a medium or scene. The resulting multilinear mixing (MLM)
Rob Heylen, Paul Scheunders
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Subharmonic Raman effect in nonlinear mixing

Optics Letters, 1988
Following the recent experiments of Trebino and Rahn [Opt. Lett. 12, 912 (1987)], I show on general grounds the existence of the fractional Raman resonances in a variety of nonlinear mixing processes in atomic vapors, molecules, and solids. I present theoretical models, both classical and quantum, for such resonances.
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