High-order numerical solution of time-dependent differential equations with quasi-interpolation
Sign Up to like & getrecommendations! Published in 2019 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2019.07.011
Abstract: Abstract Numerical solution of time-dependent differential equations with quasi-interpolation usually uses derivatives of a quasi-interpolant directly to approximate corresponding spatial derivatives (called the direct technique) in equations. This in turn requires that the quasi-interpolant should… read more here.
Keywords: order; differential equations; quasi interpolation; high order ... See more keywords
Quadrature formulas based on spline quasi-interpolation for hypersingular integrals arising in IgA-SGBEM
Sign Up to like & getrecommendations! Published in 2020 at "Computer Methods in Applied Mechanics and Engineering"
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