Search results for "Monic polynomial"

showing 3 items of 13 documents

Polynomial numerical indices of 𝐶(𝐾) and 𝐿₁(𝜇)

2013

We estimate the polynomial numerical indices of the spaces C ( K ) C(K) and L 1 ( Îź ) L_1(\mu ) .

Reciprocal polynomialAlternating polynomialStable polynomialMinimal polynomial (linear algebra)Applied MathematicsGeneral MathematicsApplied mathematicsMonic polynomialWilkinson's polynomialMathematicsCharacteristic polynomialMatrix polynomialProceedings of the American Mathematical Society
researchProduct

Fractional viscoelastic beam under torsion

2017

Abstract This paper introduces a study on twisted viscoelastic beams, having considered fractional calculus to capture the viscoelastic behaviour. Further another novelty of this paper is extending a recent numerical approach, labelled line elementless method (LEM), to viscoelastic beams. The latter does not require any discretization neither in the domain nor in the boundary. Some numerical applications have been reported to demonstrate the efficiency and accuracy of the method.

TorsionNumerical AnalysisDiscretizationApplied MathematicsNumerical analysisMathematical analysisTorsion (mechanics)Viscoelasticity02 engineering and technologyFractional calculu01 natural sciencesViscoelasticityFractional calculus010101 applied mathematicsModeling and simulationAnalytic functionHarmonic polynomial020303 mechanical engineering & transports0203 mechanical engineeringModeling and SimulationViscoelastic beam0101 mathematicsNumerical AnalysiMathematicsAnalytic functionCommunications in Nonlinear Science and Numerical Simulation
researchProduct

Polynomial Spline-Wavelets

2015

This chapter presents wavelets in the spaces of polynomial splines. The wavelets’ design is based on the Zak transform, which provides an integral representation of spline-wavelets. The exponential wavelets which participate in the integral representation are counterparts of the exponential splines that were introduced in Chap. 4. Fast algorithms for the wavelet transforms of splines are presented. Generators of spline-wavelet spaces are described, such as the B-wavelets and their duals and the Battle-Lemarie wavelets whose shifts form orthonormal bases of the spline-wavelet spaces.

Zak transformComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONMathematicsofComputing_NUMERICALANALYSISWavelet transformData_CODINGANDINFORMATIONTHEORYMathematics::Numerical AnalysisMatrix polynomialAlgebraSpline (mathematics)Computer Science::GraphicsWaveletOrthonormal basisMonic polynomialComputingMethodologies_COMPUTERGRAPHICSMathematicsCharacteristic polynomial
researchProduct