2 citations · 5 across the 5 of their papers we have counts for
6 papers · 1 filter
Approximation of solutions to non-stationary Stokes system
Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt
We propose a fast method for high order approximations of the solution of the Cauchy problem for the linear non-stationary Stokes system in in the unknown velocity an…
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…
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…
Fast cubature of volume potentials over rectangular domains
Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt
In the present paper we study high-order cubature formulas for the computation of advection-diffusion potentials over boxes. By using the basis functions introduced in the theory o…
On the fast computation of high dimensional volume potentials
Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt
A fast method of an arbitrary high order for approximating volume potentials is proposed, which is effective also in high dimensional cases. Basis functions introduced in the theor…
Tensor product approximations of high dimensional potentials
Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt
The paper is devoted to the efficient computation of high-order cubature formulas for volume potentials obtained within the framework of approximate approximations. We combine this…