An additive Schwarz preconditioner for the spectral element ocean model formulation of the shallow water equations.
Breaking the curse of dimensionality [Book]
Dynamical systems method for solving linear finite-rank operator equations
A version of the dynamical systems method (DSM) for solving ill-conditioned linear algebraic systems is studied. An a priori and an a posteriori stopping rules are justified. An iterative scheme is constructed for solving ill-conditioned linear algebraic systems.
Error controlled regularization by projection.
Evolution equations governed by families of weighted operators
Multidimensional integral operators with bihomogeneous kernels: A projection method and pseudospectra.
Spectral approximation for Segal-Bargmann space Toeplitz operators
Let A stand for a Toeplitz operator with a continuous symbol on the Bergman space of the polydisk or on the Segal-Bargmann space over . Even in the case N = 1, the spectrum Λ(A) of A is available only in a few very special situations. One approach to gaining information about this spectrum is based on replacing A by a large “finite section”, that is, by the compression of A to the linear span of the monomials . Unfortunately, in general the spectrum of does not mimic the spectrum of A as...
Variant of Lax--Milgram lemma for Banach spaces.