When simulating a mechanism from science or engineering, or an industrial process, one is
frequently required to construct a mathematical model, and then resolve this model …

Fractional partial order diffusion equations are a generalization of classical partial
differential equations, used to model anomalous diffusion phenomena. When using the …

We consider a boundary value problem in weak form of a steady-state Riesz space-
fractional diffusion equation (FDE) of order 2-α with 0<α<1. By using a finite volume …

In this paper, a τ-preconditioner for a novel fourth-order finite difference scheme of two-
dimensional Riesz space-fractional diffusion equations (2D RSFDEs) is considered, in …

The $ p $-step backwards difference formula (BDF) for solving the system of ODEs can result
in a kind of all-at-once linear systems, which are solved via the parallel-in-time …

Abstract Systems of reaction–diffusion partial differential equations (RD-PDEs) are widely
applied for modeling life science and physico-chemical phenomena. In particular, the …

Evaluating the action of a matrix function on a vector, that is x= f (M) vx= f (M) v, is an
ubiquitous task in applications. When MM is large, one usually relies on Krylov projection …

We consider the problem of efficiently solving Sylvester and Lyapunov equations of medium
and large scale, in case of rank-structured data, ie, when the coefficient matrices and the …

For large sparse non‐Hermitian positive definite linear systems, we establish exact and
inexact quasi‐HSS iteration methods and discuss their convergence properties. Numerical …

We show that the discrete operator stemming from time-space discretization of evolutionary
partial differential equations can be represented in terms of a single Sylvester matrix …