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math.NA2018★ 2 cited
Accurate computation of the high dimensional diffraction potential over hyper-rectangles
Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt
We propose a fast method for high order approximation of potentials of the Helmholtz type operator Delta+kappa^2 over hyper-rectangles in R^n. By using the basis functions introduc…
math.NA2018
Fast cubature of high dimensional biharmonic potential based on Approximate Approximations
Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt
We derive new formulas for the high dimensional biharmonic potential acting on Gaussians or Gaussians times special polynomials. These formulas can be used to construct accurate cu…