In this paper, we will present a generalized convolution quadrature for solving linear
parabolic and hyperbolic evolution equations. The original convolution quadrature method …

We consider the numerical solution of the wave equation with impedance boundary
conditions and start from a boundary integral formulation for its discretization. We develop …

We present a novel generalized convolution quadrature method that accurately
approximates convolution integrals. During the late 1980s, Lubich introduced convolution …

In this paper, we develop the Runge-Kutta generalized convolution quadrature with variable
time stepping for the numerical solution of convolution equations for time and space-time …

The use of time-domain boundary integral equations has proved very effective and efficient
for three-dimensional acoustic and electromagnetic wave equations. In even dimensions …

Mechanical loads together with changing temperature conditions can be found in a wide
variety of fields. Their effects on elastic media are reflected in the theory of thermoelasticity …

We consider some 3D wave equation problems defined in an unbounded domain, possibly
with far field sources. For their solution, by means of standard finite element methods, we …

In acoustics, the boundary element method (BEM) is much more common compared to
elasticity. This is driven by the applications, which are in acoustics very often radiation …

In this paper, we will present advanced discretization methods for solving retarded potential
integral equations. We employ a C^ ∞ C∞-partition of unity method in time and a …

The acoustic wave equation is solved in time domain with a boundary element formulation.
The time discretisation is performed with the generalised convolution quadrature method …