Numerical cubature on scattered data by adaptive interpolation
Roberto Cavoretto, Alessandra De Rossi, Francesco Dell’Accio, Filomena Di Tommaso, Najoua Siar, Alvise Sommariva, Marco Vianello
Abstract
We construct cubature methods on scattered data via resampling on the support of known algebraic cubature formulas, by different kinds of adaptive interpolation (polynomial, RBF, PUM). This approach gives a promising alternative to other recent methods, such as direct meshless cubature by RBF or least-squares cubature formulas.
Topics & Concepts
MathematicsInterpolation (computer graphics)Applied mathematicsMoving least squaresNumerical analysisResamplingAlgebraic numberPolynomialAlgorithmMathematical analysisComputer scienceArtificial intelligenceMotion (physics)Numerical methods in engineeringGeophysical Methods and ApplicationsElectromagnetic Scattering and Analysis