In this work, we are interested in solving large linear systems stemming from the extra–
membrane–intra model, which is employed for simulating excitable tissues at a cellular …

In this work, we propose a novel preconditioned Krylov subspace method for solving an
optimal control problem of wave equations, after explicitly identifying the asymptotic spectral …

In computational mathematics, when dealing with a large linear discrete problem (eg, a
linear system) arising from the numerical discretization of a partial differential equation …

The use of high order fully implicit Runge–Kutta methods is of significant importance in the
context of the numerical solution of transient partial differential equations, in particular when …

This paper concerns the spectral analysis of matrix-sequences that are generated by the
discretization and numerical approximation of partial differential equations, in case the …

We consider the space-time discretization of the diffusion equation, using an isogeometric
analysis (IgA) approximation in space and a discontinuous Galerkin (DG) approximation in …

The theory of generalized locally Toeplitz (GLT) sequences is a powerful apparatus for
computing the asymptotic spectral distribution of square matrices $ A_n $ arising from the …

The eigenvalues of Toeplitz matrices T n (f) with a real-valued generating function f,
satisfying some conditions and tracing out a simple loop over the interval [− π, π], are known …

More than twenty years ago Eugene Tyrtyshnikov discussed with the fourth author the idea
of “an extradimensional approach” for treating the singular value distribution and the …

We detail a simple procedure (easily convertible to an algorithm) for constructing, from quasi-
uniform samples of f, a sequence of linear spline functions converging to the monotone …