A unified fast time-stepping method for both fractional integral and derivative operators is
proposed. The fractional operator is decomposed into a local part with memory …

In this work, we extend the fractional linear multistep methods in C. Lubich, SIAM J. Math.
Anal., 17 (1986), pp. 704--719 to the tempered fractional integral and derivative operators in …

The present article proposes a time‐domain boundary element method (TDBEM) for the
three‐dimensional (3D) dissipative wave equation (DWE). Although the fundamental …

We propose a new class of semi-implicit methods for solving nonlinear fractional differential
equations and study their stability. Several versions of our new schemes are proved to be …

In this paper we consider wave propagation problems in two-dimensional unbounded
domains, including dissipative effects, reformulated in terms of space-time boundary integral …

We propose two hybrid convolution quadrature based discretizations of the wave equation
on interior domains with broadband Neumann boundary data or source terms. The …

We generalize ideas in the recent literature and develop new ones in order to propose a
general class of contour integral methods for linear convection–diffusion PDEs and in …

Recently, the numerical schemes of the Fokker-Planck equations describing anomalous
diffusion with two internal states have been proposed in Nie et al.,[23], which use …

This paper presents a sum-of-exponentials domain decomposition method for the numerical
simulation of two-dimensional unsteady fluid flow and heat transfer using a time-fractional …

In this paper a novel contour integral method is proposed for linear convection-diffusion
equations. The method is based on the inversion of the Laplace transform and makes use of …