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We study the relationship between finite volume and mixed finite element methods for the the hyperbolic conservation laws, and the closely related convection-diffusion equations. A general framework is proposed for the derivation and a... more
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      MathematicsApplied MathematicsFinite element methodFinite Element
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    •   6  
      Applied MathematicsMonte Carlo SimulationNumerical SimulationStochastic differential equation
A common observation is that large groups of oscillatory biological units often have the ability to synchronize. A paradigmatic model of such behavior is provided by the Kuramoto model, which achieves synchronization through coupling of... more
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      Applied MathematicsNumerical Analysis and Computational Mathematics
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    •   17  
      Evolutionary BiologyZoologyEthologyPsychology
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    •   2  
      Applied MathematicsNumerical Analysis and Computational Mathematics
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    •   6  
      Applied MathematicsApplied Mathematics and Computational ScienceNumerical Analysis and Computational MathematicsUpper Bound
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    •   10  
      Applied MathematicsGlobalizationSupply Chain IntegrationOutsourcing
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      Applied MathematicsBusiness and ManagementNaval LogisticsNumerical Analysis and Computational Mathematics
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    •   2  
      Applied MathematicsNumerical Analysis and Computational Mathematics
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    •   18  
      Applied MathematicsModelingTabu SearchRouting
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    •   12  
      MathematicsComputer ScienceArtificial IntelligenceStatistics
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    •   9  
      Distributed ComputingVisualizationComputational ModelingMultiscale Modeling
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    •   7  
      EngineeringApplied MathematicsSchedulingOptimization
We investigate the 3-edge coloring problem, based on the idea to give an algorithm, that attempts to minimize the use of color 4 (in a 4-edge coloring), and to study the factors that force it to fail. More specific, we introduce the... more
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      Applied MathematicsPure MathematicsNumerical Analysis and Computational MathematicsEdge Coloring
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    •   7  
      MathematicsComputer ScienceComputational GeometryPure Mathematics
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    •   2  
      Applied MathematicsNumerical Analysis and Computational Mathematics
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    •   19  
      Applied MathematicsProbability TheoryStochastic ProcessThermodynamics
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      BusinessMaterials EngineeringInterdisciplinary EngineeringNumerical Analysis and Computational Mathematics
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    •   3  
      Applied MathematicsNumerical Analysis and Computational MathematicsNumerical methods for Partial Differential Equations
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      Applied MathematicsGeometric function theoryMathematical and Computer ModellingNumerical Analysis and Computational Mathematics
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    •   3  
      Materials EngineeringInterdisciplinary EngineeringNumerical Analysis and Computational Mathematics
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    •   15  
      Mechanical EngineeringApplied MathematicsSynchronizationTime series analysis
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    •   10  
      Applied MathematicsLinear ProgrammingParallel ProcessingMatrix factorization
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    •   3  
      Applied MathematicsComplexityNumerical Analysis and Computational Mathematics
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    •   8  
      Applied MathematicsOptimal ControlOptimization ProblemNumerical Analysis and Computational Mathematics
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    •   13  
      Applied MathematicsComputer VisionAugmented RealityObject Recognition
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    •   6  
      Applied MathematicsFacility LocationBusiness and ManagementCost Sharing
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      Applied MathematicsDifferential Algebraic EquationsApplied Mathematics and Computational ScienceNumerical Analysis and Computational Mathematics
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      Applied MathematicsTechnology developmentCase StudyConceptual Framework
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      Applied MathematicsNumerical AnalysisGlobal OptimizationNumerical Analysis and Computational Mathematics
We prove the existence of mild solutions for a partial neutral functional integrodifferential equation with unbounded delay using the Leray–Schauder alternative.
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      Applied MathematicsPure MathematicsMathematical AnalysisFirst-Order Logic
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      Information SystemsData MiningSoft ComputingPure Mathematics
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      Applied MathematicsNumerical AnalysisOptimization ProblemGlobal Optimization
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      Applied MathematicsMathematical ProgrammingData StructureSemidefinite Programming
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      Applied MathematicsLinear ElasticityScientific ComputingNumerical Analysis and Computational Mathematics
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    •   2  
      Applied MathematicsNumerical Analysis and Computational Mathematics
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    •   2  
      Applied MathematicsNumerical Analysis and Computational Mathematics
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    •   4  
      Applied MathematicsStatisticsStochasticsNumerical Analysis and Computational Mathematics
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    •   3  
      Applied MathematicsTensor product semigroupsNumerical Analysis and Computational Mathematics
Real-world optimization problems may involve a number of computationally expensive functions with a large number of input variables. Metamodel-based optimization methods can reduce the computational costs of evaluating expensive... more
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      Applied MathematicsNumerical Analysis and Computational Mathematics
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    •   7  
      MathematicsNumerical SimulationsNumerical AnalysisComputational Mathematics
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      MathematicsApplied MathematicsComputer ScienceOncology
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      MathematicsApplied MathematicsComputer ScienceNumerical Analysis and Computational Mathematics
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    •   8  
      Applied MathematicsCase StudiesRiskRisk Management
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      Applied MathematicsEconomicsApplied mathematics-mathematical finance-option pricingNumerical Analysis and Computational Mathematics
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      MathematicsApplied MathematicsSignal ProcessingLinear Algebra
A new nonlinear integral-equation model is derived in terms of hodograph variables for free-surface flow past an arbitrary bottom obstruction. A numerical method, carefully chosen to solve the resulting nonlinear algebraic equations and a... more
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    •   16  
      MathematicsApplied MathematicsIntegral EquationsEngineering Mathematics
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    •   4  
      Applied MathematicsFractional CalculusMittag-Leffler FunctionNumerical Analysis and Computational Mathematics
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    •   12  
      MathematicsApplied MathematicsComputer ScienceRadial Basis Function