Fully accurate approximation of piecewise smooth functions using corrected B-spline quasi-interpolants
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DOI: 10.1007/s40314-024-02651-4
Abstract: This article is devoted to introducing new spline quasi-interpolants for the sharp approximation of data in one and several dimensions. The new construction aims to obtain accurate approximations close to singularities of the function from… read more here.
Keywords: spline quasi; approximation; piecewise smooth; quasi interpolants ... See more keywords
Quadrature formulas based on spline quasi-interpolation for hypersingular integrals arising in IgA-SGBEM
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DOI: 10.1016/j.cma.2020.113441
Abstract: Abstract In this paper, we study the construction of quadrature rules for the approximation of hypersingular integrals that occur when 2D Neumann or mixed Laplace problems are numerically solved using Boundary Element Methods. In particular… read more here.
Keywords: quadrature; spline quasi; hypersingular integrals; quasi interpolation ... See more keywords
A cubic B-spline quasi-interpolation method for solving hyperbolic partial differential equations
Sign Up to like & getrecommendations! Published in 2023 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2023.2205963
Abstract: This work presents a numerical algorithm based on the cubic B-spline quasi-interpolation method for the simulation of one and two-dimensional hyperbolic partial differential equations. In this method, cubic B-spline quasi-interpolation method is used for the… read more here.
Keywords: interpolation method; spline quasi; quasi interpolation; cubic spline ... See more keywords