2 citations · 8 across the 11 of their papers we have counts for
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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…
A fast solution method for time dependent multidimensional Schrödinger equations
Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt
In this paper we propose fast solution methods for the Cauchy problem for the multidimensional Schrödinger equation. Our approach is based on the approximation of the data by the b…
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…
Computation of volume potentials over bounded domains via approximate approximations
F. Lanzara, V. Maz'ya, G. Schmidt
We obtain cubature formulas of volume potentials over bounded domains combining the basis functions introduced in the theory of approximate approximations with their integration ov…
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…
Approximate Hermite quasi-interpolation
Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt
In this paper we derive approximate quasi-interpolants when the values of a function and of some of its derivatives are prescribed at the points of a uniform grid. As a byprodu…
Approximate Approximations from scattered data
F. Lanzara, V. Maz'ya, G. Schmidt
The aim of this paper is to extend the approximate quasi-interpolation on a uniform grid by dilated shifts of a smooth and rapidly decaying function on a uniform grid to scattered…