MATLAB® 1 is an interactive system for numerical computation. Numerical analyst Cleve
Moler wrote the initial Fortran version of MATLAB in the late 1970s as a teaching aid. It …

Efficient numerical linear algebra is a core ingredient in many applications across almost all
scientific and industrial disciplines. With this survey we want to illustrate that numerical linear …

In this article, we propose an algorithm for approximating the action of φ− functions of
matrices against vectors, which is a key operation in exponential time integrators. In …

Abstract The Discontinuous Petrov-Galerkin (DPG) method and the exponential integrators
are two well established numerical methods for solving Partial Differential Equations (PDEs) …

Two algorithms are developed for computing the matrix logarithm in floating point arithmetic
of any specified precision. The backward error-based approach used in the state of the art …

The Schur--Parlett algorithm, implemented in MATLAB as\textttfunm, evaluates an analytic
function f at an n*n matrix argument by using the Schur decomposition and a block …

Abstract The Discontinuous Petrov–Galerkin (DPG) method is a widely employed
discretization method for Partial Differential Equations (PDEs). In a recent work, we applied …

Exponential time integrators are well‐established discretization methods for time semilinear
systems of ordinary differential equations. These methods use φ− functions, which are matrix …

This paper presents an efficient multimodal-based shape optimization method for
maximizing sound radiation from open-ended acoustic horns. The proposed method tightly …

Exponential integrators are a well-known class of time integration methods that have been
the subject of many studies and developments in the past two decades. Surprisingly, there …