Search results for "Exponential function preservation"

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Annihilation Operators for Exponential Spaces in Subdivision

2022

We investigate properties of differential and difference operators annihilating certain finite-dimensional subspaces of exponential functions in two variables that are connected to the representation of real-valued trigonometric and hyperbolic functions. Although exponential functions appear in a variety of contexts, the motivation behind this work comes from considering subdivision schemes with the capability of preserving those exponential functions required for an exact description of surfaces parametrized in terms of trigonometric and hyperbolic functions.

Subdivision schemePure mathematicsAnnihilationbusiness.industryApplied MathematicsDifference operator annihilating exponentials; Exponential function preservation; Subdivision schemeHyperbolic functionNumerical Analysis (math.NA)Exponential functionComputational MathematicsDifference operator annihilating exponentialFOS: MathematicsMathematics - Numerical AnalysisTrigonometryVariety (universal algebra)businessRepresentation (mathematics)Differential (mathematics)MathematicsSubdivisionExponential function preservation

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