1 citations · 1 across the 4 of their papers we have counts for
5 papers
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…
Optimal pointwise estimates for derivatives of solutions to Laplace, Lamé and Stokes equations
Gershon Kresin, Vladimir Maz'ya
Various optimal estimates for solutions of the Laplace, Lamé and Stokes equations in multidimensional domains, as well as new real-part theorems for analytic functions are obtained…
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…
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…