Search results for "Efficient"

showing 10 items of 1603 documents

Regularity of solutions to differential equations with non-Lipschitz coefficients

2008

AbstractWe study the ordinary and stochastic differential equations whose coefficients satisfy certain non-Lipschitz conditions, namely, we study the behaviors of small subsets under the flows generated by these equations.

Mathematics(all)Hölder continuousGeneral MathematicsMathematical analysisHausdorff dimensionNon-Lipschitz conditionMethod of undetermined coefficientsExamples of differential equationsStochastic partial differential equationDifferential equationCollocation methodC0-semigroupDifferential algebraic equationMathematicsSeparable partial differential equationNumerical partial differential equationsBulletin des Sciences Mathématiques
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Combinatorial Gray codes for classes of pattern avoiding permutations

2007

The past decade has seen a flurry of research into pattern avoiding permutations but little of it is concerned with their exhaustive generation. Many applications call for exhaustive generation of permutations subject to various constraints or imposing a particular generating order. In this paper we present generating algorithms and combinatorial Gray codes for several families of pattern avoiding permutations. Among the families under consideration are those counted by Catalan, Schr\"oder, Pell, even index Fibonacci numbers and the central binomial coefficients. Consequently, this provides Gray codes for $\s_n(\tau)$ for all $\tau\in \s_3$ and the obtained Gray codes have distances 4 and 5.

Mathematics::CombinatoricsFibonacci numberPattern avoiding permutationsGeneral Computer ScienceOrder (ring theory)Generating algorithms94B25Gray codesCombinatorial algorithms05A05; 94B25; 05A15Theoretical Computer ScienceCombinatoricsSet (abstract data type)Constraint (information theory)Gray codePermutation05A05ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONFOS: MathematicsMathematics - CombinatoricsCombinatorics (math.CO)05A15Binomial coefficientComputer Science(all)MathematicsTheoretical Computer Science
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Convergence of a high-order compact finite difference scheme for a nonlinear Black–Scholes equation

2004

A high-order compact finite difference scheme for a fully nonlinear parabolic differential equation is analyzed. The equation arises in the modeling of option prices in financial markets with transaction costs. It is shown that the finite difference solution converges locally uniformly to the unique viscosity solution of the continuous equation. The proof is based on a careful study of the discretization matrices and on an abstract convergence result due to Barles and Souganides.

Matrix difference equationFTCS schemeNumerical AnalysisPartial differential equationApplied MathematicsMathematical analysisCompact finite differenceNumerical solution of the convection–diffusion equationFinite difference coefficientCentral differencing schemeComputational MathematicsModeling and SimulationAnalysisCompact convergenceMathematicsESAIM: Mathematical Modelling and Numerical Analysis
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Performance study of a Helical Savonius hydrokinetic turbine with a new deflector system design

2019

Abstract The use of renewable energy sources has becoming a necessity to generate electricity. Helical Savonius rotors have been preferred for small-scale hydropower generation. Numerous studies were carried out to improve the performance of the Helical Savonius rotor which has not been fully explored. In this paper, an experimental study was carried out to evaluate the performance of a Helical Savonius water rotor in an irrigation channel. In order to enhance the performance of the studied water rotor, a new deflector system design was proposed. Different configurations of the proposed deflector system were tested numerically using the commercial software ANSYS FLUENT 17.0. Without a defle…

Maximum power principleComputer science020209 energyEnergy Engineering and Power TechnologyDeflector system02 engineering and technologyTurbinelaw.inventionPower coefficientSettore ICAR/01 - Idraulica020401 chemical engineeringlawValidation0202 electrical engineering electronic engineering information engineeringHelical Savonius rotor0204 chemical engineeringHydropowerRotor (electric)business.industryRenewable Energy Sustainability and the EnvironmentTorque coefficientRenewable energyElectricity generationFuel TechnologyNuclear Energy and EngineeringSystems designElectricitybusinessMarine engineeringRotor performance
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Investigation of temperature coefficients of PV modules through field measured data

2021

Abstract Varying broadband irradiance and temperature are generally known as the major factors influencing the performance of PV modules, but studies have also shown the substantial impact of spectral variations. In this work, a simple and efficient method to calculate the temperature coefficient using long term data is demonstrated. Temperature coefficients of PV modules are estimated from long term performance data following IEC 60891 standard with additional spectral correction, and are compared against the datasheet values. Significant improvement of correlation coefficient from −0.89 to −0.97 is observed during the regression for maximum power temperature coefficient of two poly-crysta…

Maximum power principleCorrelation coefficientRenewable Energy Sustainability and the Environment020209 energyIrradianceVDP::Matematikk og Naturvitenskap: 40002 engineering and technologyPhoton energy021001 nanoscience & nanotechnologyStandard deviationComputational physics0202 electrical engineering electronic engineering information engineeringRange (statistics)General Materials Science0210 nano-technologyTemperature coefficientDatasheetMathematicsSolar Energy
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TOPS-MODE approach for the prediction of blood-brain barrier permeation.

2004

The blood-brain barrier permeation has been investigated by using a topological substructural molecular design approach (TOPS-MODE). A linear regression model was developed to predict the in vivo blood-brain partitioning coefficient on a data set of 119 compounds, treated as the logarithm of the blood-brain concentration ratio. The final model explained the 70% of the variance and it was validated through the use of an external validation set (33 compounds of the 119, MAE = 0.33), a leave-one-out crossvalidation (q(2) = 0.65, S(press) = 0.43), fivefold full crossvalidation (removing 28 compounds in each cycle, MAE = 33, RMSE = 0.43) and the prediction of +/- values for an external test set …

Mean squared errorLogarithmChemistryPharmaceutical ScienceThermodynamicsPenetration (firestop)PermeationConcentration ratioModels BiologicalPartition coefficientCapillary PermeabilityBlood-Brain BarrierPredictive Value of TestsTest setLinear regressionLinear ModelsComputer SimulationJournal of pharmaceutical sciences
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Deep Learning Models Performance For NDVI Time Series Prediction: A Case Study On North West Tunisia

2020

The main goal of this paper is to analyze the performance of two deep learning models Long Short-Term Memory (LSTM) and bidirectional LSTM (BiLSTM) network for non-stationary Normalized Difference Vegetation Index (NDVI) time-series prediction. Both methods have provided good performances in the different time series. The BiLSTM has shown the best agreement with the lowest root mean square error (RMSE) and the highest Pearson correlation coefficient (R) of 0.034 and 0.93, respectively.

Mean squared errorSeries (mathematics)business.industryDeep learningNormalized Difference Vegetation IndexPearson product-moment correlation coefficientsymbols.namesakeNorth westStatisticssymbolsmedicineArtificial intelligenceTime seriesmedicine.symptombusinessVegetation (pathology)Mathematics2020 Mediterranean and Middle-East Geoscience and Remote Sensing Symposium (M2GARSS)
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Uncertainty evaluation in the differential measurements of power losses in a power drive system

2021

Abstract In order to guarantee a correct classification in the standardized energy efficiency classes, the current standards concerning the power drive systems prescribe that their power losses must be evaluated with great accuracy. This circumstance involves the usage of expensive measurement systems, since accurate instrumentation, skilled personnel and controlled environments are required. During the design stage of a power drive system, however, the measurement of the absolute value of its power losses is not always needed. Often, in fact, it is enough to assess the power losses variations caused by a modification of either hardware or software sections of the power drive system. In the…

Measure (data warehouse)Computer sciencebusiness.industryApplied MathematicsSystem of measurementAbsolute valueDifferential (mechanical device)Settore ING-IND/32 - Convertitori Macchine E Azionamenti ElettriciCondensed Matter PhysicsReliability engineeringPower (physics)SoftwarePower drive systems Power losses measurements Uncertainty analysisInstrumentation (computer programming)Electrical and Electronic EngineeringbusinessSettore ING-INF/07 - Misure Elettriche E ElettronicheInstrumentationEfficient energy useMeasurement
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Solution strategies for 1D elastic continuum with long-range interactions: Smooth and fractional decay

2010

Abstract An elastic continuum model with long-range forces is addressed in this study within the context of approximate analytical methods. Such a model stems from a mechanically-based approach to non-local theory where long-range central forces are introduced between non-adjacent volume elements. Specifically, long-range forces depend on the relative displacement, on the volume product between interacting elements and they are proportional to a proper, material-dependent, distance-decaying function. Smooth-decay functions lead to integro-differential governing equations whereas hypersingular, fractional-decay functions lead to a fractional differential governing equation of Marchaud type. …

Mechanical EngineeringMathematical analysisMODELSFinite differenceContext (language use)Finite difference coefficientFunction (mathematics)GRADIENT ELASTICITYCondensed Matter PhysicsBARFractional calculusRange (mathematics)NONLOCAL ELASTICITY; GRADIENT ELASTICITY; MODELS; BARNONLOCAL ELASTICITYCentral forceMechanics of MaterialsGeneral Materials ScienceGalerkin methodSettore ICAR/08 - Scienza Delle CostruzioniCivil and Structural EngineeringMathematics
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Self-assembly of catalytically-active supramolecular coordination compounds within metal-organic frameworks

2019

[EN] Supramolecular coordination compounds (SCCs) represent the power of coordination chemistry methodologies to self-assemble discrete architectures with targeted properties. SCCs are generally synthesized in solution, with isolated fully coordinated metal atoms as structural nodes, thus severely limited as metal-based catalysts. Metal-organic frameworks (MOFs) show unique features to act as chemical nanoreactors for the in situ synthesis and stabilization of otherwise not accessible functional species. Here, we present the self-assembly of Pd-II SCCs within the confined space of a pre-formed MOF (SCCs@MOF) and its post-assembly metalation to give a Pd-II-Au-III supra molecular assembly, c…

Mechanistic characterizationMetalationCavitySupramolecular chemistryQuímica organometàl·licaNanoreactor010402 general chemistry7. Clean energy01 natural sciencesBiochemistryCatalysisCoordination complexSupramolecular assemblyClustersQUIMICA ORGANICAColloid and Surface ChemistryOxidationPolyhedraConstructionchemistry.chemical_classificationChemistryCagesGeneral ChemistryCombinatorial chemistry0104 chemical sciencesEfficientAlkynesMetal-organic frameworkCatalystSelf-assemblySupramolecular catalysis
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