Search results for " minimization"

showing 7 items of 107 documents

Energy minimization of single input orbit transfer by averaging and continuation

2006

AbstractThis article deals with the transfer between Keplerian coplanar orbits using low propulsion. We focus on the energy minimization problem and compute the averaged system, proving integrability and relating the corresponding trajectories to a three-dimensional Riemannian problem that is analyzed in details. The geodesics provide approximations of the extremals of the energy minimization problem and can be used in order to evaluate the optimal trajectories of the time optimal and the minimization of the consumption problems with continuation methods. In particular, minimizing trajectories for transfer towards the geostationary orbit can be approximated in suitable coordinates by straig…

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]0209 industrial biotechnologyMathematics(all)GeodesicGeneral MathematicsMoyennation02 engineering and technologyPropulsionEnergy minimization01 natural sciencesContinuationAveraging020901 industrial engineering & automation0101 mathematicsMinimisation de l'énergieComputingMilieux_MISCELLANEOUSMathematicsTransfert orbital à poussée faibleMéthodes de continuation010102 general mathematicsMathematical analysis[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]Orbital transfer with low thrustEnergy minimizationContinuation methodsOrbit (dynamics)Geostationary orbit[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]MinificationFocus (optics)
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Convergence rate of a relaxed inertial proximal algorithm for convex minimization

2018

International audience; In a Hilbert space setting, the authors recently introduced a general class of relaxed inertial proximal algorithms that aim to solve monotone inclusions. In this paper, we specialize this study in the case of non-smooth convex minimization problems. We obtain convergence rates for values which have similarities with the results based on the Nesterov accelerated gradient method. The joint adjustment of inertia, relaxation and proximal terms plays a central role. In doing so, we highlight inertial proximal algorithms that converge for general monotone inclusions, and which, in the case of convex minimization, give fast convergence rates of values in the worst case.

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]Class (set theory)Control and OptimizationInertial frame of referenceLyapunov analysis0211 other engineering and technologies02 engineering and technologyManagement Science and Operations Research01 natural sciencessymbols.namesakenonsmooth convex minimizationrelaxationweak-convergence0101 mathematics[MATH]Mathematics [math]point algorithmMathematics021103 operations researchWeak convergence[QFIN]Quantitative Finance [q-fin]Applied MathematicsHilbert space[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]dynamicsmaximally monotone operatorsInertial proximal method010101 applied mathematicsMonotone polygonRate of convergenceConvex optimizationmaximal monotone-operatorssymbolsRelaxation (approximation)[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]subdifferential of convex functionsAlgorithm
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Influence of the Oxic-Settling-Anaerobic (OSA) Process on Methane Production by Anaerobic Digestion of Sewage Sludge

2023

The present study evaluated different sludge-reduction mechanisms in the oxic-settling-anaerobic (OSA) process in terms of their effects on methane productivity by anaerobic digestion of sewage sludge. Two different layouts were investigated for the sludge return from an anaerobic side-stream reactor (ASSR) to the anoxic (scheme A) or the aerobic (scheme B) reactor of a pre-denitrification plant. Biochemical methane-potential (BMP) assays performed on the excess sludge revealed that scheme A promoted an overall increase of methane production in the OSA (20 mLCH4 gVSS−1d−1, +19%), although compared with a control CAS plant a significant decrease in the excess sludge production (3…

anaerobic digestionsewage sludgeSettore ICAR/03 - Ingegneria Sanitaria-Ambientaleanaerobic side-stream reactorGeography Planning and DevelopmentBMPAquatic Scienceexcess sludge minimizationBiochemistryWater Science and TechnologyWater
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Ethanedithiol diacetate

2001

Ethane-1,2-diyl S,S′-bis­(thio­acetate), H3CC(O)SCH2CH2SC(O)CH3 or C6H10O2S2, forms centrosymmetric mol­ecules in the solid state and the molecular structure determined by X-ray crystallography is in good agreement with that obtained by density functional geometry optimization. The planarity of the O=C—S—C fragment, which is also found in structures of other thio­acetates, is attributed to a strong np(S)–π*(C—O) orbital interaction.

chemistry.chemical_classificationCrystallographychemistryFragment (logic)ThiolSolid-stateMoleculeGeneral Materials ScienceGeneral ChemistryCondensed Matter PhysicsEnergy minimizationPlanarity testingActa Crystallographica Section E Structure Reports Online
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ChemInform Abstract: A Theoretical Determination of the Dissociation Energy of the Nitric Oxide Dimer.

2010

Multi-reference CI methods have been applied to determine the dissociation energy and structure of thecis-N2O2 molecule. The convergence of the theoretical result has been checked with respect to a systematic expansion of the one-electron basis set and the multi-reference CI wave function. The best calculated value, 13.8 kJ/mol, is in agreement with the experimental value, 12.2 kJ/mol. It has been obtained with an extended ANO-type basis set [6s5p3d2f], including the effect of the basis set superposition error (BSSE) in the geometry optimization, and additional effects, such as the electron correlation of core electrons and relativistic corrections, using the average coupled pair functional…

chemistry.chemical_compoundElectronic correlationCore electronStereochemistryChemistryDimerMoleculeThermodynamicsGeneral MedicineEnergy minimizationWave functionBond-dissociation energyBasis setChemInform
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A second solvatomorph of poly[[μ4-N,N′-(1,3,5-oxadiazinane-3,5-diyl)bis(carbamoylmethanoato)]nickel(II)dipotassium] : crystal structure, Hirshfeld su…

2021

The title compound, poly[triaquabis[μ4-N,N′-(1,3,5-oxadiazinane-3,5-diyl)bis(carbamoylmethanoato)]dinickel(II)tetrapotassium], [K4Ni2(C7H6N4O7)2(H2O)3] n , is a second solvatomorph of poly[(μ4-N,N′-(1,3,5-oxadiazinane-3,5-diyl)bis(carbamoylmethanoato)nickel(II)dipotassium] reported previously [Plutenko et al. (2021). Acta Cryst. E77, 298–304]. The asymmetric unit of the title compound includes two structurally independent complex anions [Ni(C7H6N4O7)]2−, which exhibit an L-shaped geometry and consist of two almost flat fragments perpendicular to one another: the 1,3,5-oxadiazinane fragment and the fragment including other atoms of the anion. The central Ni atom is in a square-planar N2O2 co…

crystal structureshape analysischemistry.chemical_elementCrystal structureEnergy minimizationIonpseudomacrocyclic ligandCrystalchemistry.chemical_compoundtemplate reactionSHAPE analysisAmidehirshfeld surface analysisAtomHirshfeld surface analysisGeneral Materials Sciencesemi-empirical geometry optimizationCrystallographynickel(ii) complexGeneral ChemistrykompleksiyhdisteetCondensed Matter Physicsnickel(II) complexkiteetTemplate reactionNickelCrystallographychemistryQD901-999nikkelihydrazide-based ligand
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Combined Spectroscopic and TD-DFT Analysis to Elucidate Substituent and Acidochromic Effects in Organic Dyes: A Case Study on Amino- versus Nitro-Sub…

2020

Made available in DSpace on 2020-12-12T01:33:30Z (GMT). No. of bitstreams: 0 Previous issue date: 2020-01-01 A combined spectroscopic and TD-DFT case study was performed, to identify a robust method to calculate the complex near UV/Vis absorption spectra of various amino- vs. nitro-substituted 2,4-diphenylquinolines, which vary strongly under neutral and successively acidic conditions. For this, different DFT functionals were tested for geometry optimization and the TD part to calculate the neutral and different protonated species in a fast screening approach, i. e. using single point calculations in an implicit solvent. Offset-corrected M06HF, hitherto only applied to polymers, was identif…

quinolinesAbsorption spectroscopyabsorption spectradual emissionSubstituentProtonation02 engineering and technology010402 general chemistry021001 nanoscience & nanotechnologyEnergy minimization01 natural sciencesFluorescenceAtomic and Molecular Physics and Optics0104 chemical sciencesSolventchemistry.chemical_compoundchemistryComputational chemistryacidochromismNitroDensity functional theoryfluorescencePhysical and Theoretical Chemistry0210 nano-technologydensity functional theory
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