Factorization of large dense matrices are ubiquitous in engineering and data science
applications, eg preconditioners for iterative boundary integral solvers, frontal matrices in …

We show that the acoustic Greens function for a half-space impedance problem in arbitrary
spatial dimension d can be written as a sum of two terms, each of which is the product of an …

We present a stability and convergence theory for the lossy Helmholtz equation and its
Galerkin discretization. The boundary conditions are of Robin type. All estimates are explicit …

Time domain acoustic scattering problems in two dimensions are studied. The numerical
scheme relies on the use of Convolution Quadrature (CQ) method to reduce the time domain …

In this paper we will derive a nonlocal (“integral”) equation which transforms a three-
dimensional acoustic transmission problem with variable coefficients, nonzero absorption …

In engineering, several physical models result in inhomogeneous partial differential
equations. A prototype of such an equation is the modified Helmholtz equation or also called …

It is well known in the literature that standard hierarchical matrix (H-matrix)-based methods,
although very efficient for asymptotically smooth kernels, are not optimal for oscillatory …

0 k (t− τ) g (τ) dτ, where the transfer function K: s↦→ K (s) is analytic for Re s> 0 and k is its
inverse Laplace transform. The focus of the book are applications to timedomain boundary …