Calcolo: a quarterly on numerical analysis and theory of computation

The periodic nonuniform sampling series, involving periodic samples of both the function and its first r derivatives, was initially introduced by Nathan (Inform Control 22: 172–182, 1973). Since then, various authors have extended this sampling ...${}^{\mathrm{}}$$\mathrm{}$

Catalan–Stieltjes matrices and their corresponding Catalan-like numbers are very important in combinatorics. In this paper, we give a sufficient condition for the Catalan–Stieltjes matrix to be triangular strictly totally positive ($\mathrm{\Delta }$STP), that is, ...

We present a method for computing actions of the exponential-like $\phi$-functions for a Kronecker sum K of d arbitrary matrices $A_{\mu }$. It is based on the approximation of the integral representation of the $\phi$-functions by Gaussian quadrature formulas ...$$${}_{}$$$$$$$$$

We investigate the application of a posteriori error estimate to a fractional optimal control problem with pointwise control constraints. Specifically, we address a problem in which the state equation is formulated as an integral form of the ...

Algebraic multigrid (AMG) is one of the most efficient iterative methods for solving large structured systems of equations. However, how to build/check restriction and prolongation operators in practical AMG methods for nonsymmetric structured ...$\mathcal{}$

In this paper, we propose an explicit two-grid spectral deferred correction method for solving the nonlinear fractional pantograph differential equations. We design a partition including the global and local grids, which reduces the interaction ...

In this paper, we consider how to accurately solve the singular value problem and the linear system for a class of Polynomial-Vandermonde-type (PVT) matrices, which belongs to the class of negative matrices introduced by Huang and Xue (Adv Comput ...

This paper is concerned with the finite element discretization of the data driven approach according to Kirchdoerfer and Ortiz (Comput Methods Appl Mech Eng 304:81–101, 2016) for the solution of PDEs with a material law arising from measurement ...$$

In this article, a reliable a posteriori error estimate of residual type is derived for a variational inequality of second kind modeling Stokes equations with Tresca’s boundary condition. Two sources of the error are considered here; the ...

When solving the Poisson equation on honeycomb hexagonal grids, we show that the $P_1$ virtual element is three-order superconvergent in $H^1$-norm, and two-order superconvergent in $L^2$ and $L^{\infty }$ norms. We define a local post-process which lifts the ...${}_{\mathrm{}}$${}_{\mathrm{}}$

In this paper, exploiting the structure of tensors, the so called refined Geršhgorin disks for H-eigenvalues of tensors are introduced, which are always tighter than the classical Geršhgorin-type theorem for H-eigenvalues of tensors introduced by ...$\mathcal{}$$\mathcal{}$$\mathcal{}$$\mathcal{}{}^{\mathrm{}}\mathbf{}$$\mathcal{}$${\mathcal{}}^{}$$\mathbf{}{\mathbb{}}^{}$

In this study, we provide a nonconforming spectral approach for the Stokes equations with nonstandard boundary conditions on a single domain. The discrete spaces are defined in such a way that the discrete approximations for the velocity are ...

The multi-step inertial randomized Kaczmarz (MIRK) method is an iterative method for solving large-scale linear systems. In this paper, we enhance the MIRK method by incorporating the greedy probability criterion, coupled with the introduction of ...

In this paper, based on the implicit fixed-point equation of the horizontal implicit complementarity problem (HICP), we modify several steps in the framework of the modulus-based matrix splitting (MMS) iteration method (Linear and Multilinear ...${}_{}$$\mathrm{}$