This monograph aims to provide a concise and comprehensive treatment of the basic theory
of algebraic Riccati equations and a description of both the classical and the more advanced …

The geometric mean of two matrices is considered from a computational viewpoint. Several
numerical algorithms based on different properties and representations of the geometric …

In this paper we introduce new characterizations of spectral fractional Laplacian to
incorporate nonhomogeneous Dirichlet and Neumann boundary conditions. The classical …

The need to evaluate a function f (A)∈ ℂn× n of a matrix A∈ ℂn× n arises in a wide and
growing number of applications, ranging from the numerical solution of differential equations …

This paper is concerned with the design and analysis of least squares solvers for ill-posed
PDEs that are conditionally stable. The norms and the regularization term used in the least …

Coupled partial differential equations (PDEs) defined on domains with different
dimensionality are usually called mixed-dimensional PDEs. We address mixed-dimensional …

A new algorithm is developed for computing arbitrary real powers A p of a matrix A∈ ℂ n× n.
The algorithm starts with a Schur decomposition, takes k square roots of the triangular factor …

In this paper we advance the analysis of discretizations for a fluid-structure interaction model
of the monolithic coupling between the free flow of a viscous Newtonian fluid and a …

Algorithms for the computation of the (weighted) geometric mean G of two positive definite
matrices are described and discussed. For large and sparse matrices the problem of …

Eringen's model is one of the most popular theories in non-local elasticity. It has been
applied to many practical situations with the objective of removing anomalous stress …