This article surveys preconditioning techniques for the iterative solution of large linear
systems, with a focus on algebraic methods suitable for general sparse matrices. Covered …

抄録< jats: p> Fundamentals of Fast Multipole Method (FMM) and FMM accelerated
Boundary Integral Equation Method (BIEM) are presented. Developments of FMM …

The Method of Moments in Electromagnetics, Third Edition details the numerical solution of
electromagnetic integral equations via the Method of Moments (MoM). Previous editions …

Numerical modeling of superconductors is widely recognized as a powerful tool for
interpreting experimental results, understanding physical mechanisms, and predicting the …

This book presents a unified theory of the Finite Element Method and the Boundary Element
Method for a numerical solution of second order elliptic boundary value problems. This …

In this chapter let TI and TJ be binary cluster trees for the index sets I and J, respectively. A
generalization to arbitrary cluster trees is possible; see Sect. 4.5 for nested dissection cluster …

Approximation of scattered data is often a task in many engineering problems. The radial
basis function (RBF) approximation is appropriate for large scattered (unordered) datasets in …

This article describes a fast direct solver (ie, not iterative) for partial hierarchically semi-
separable systems. This solver requires a storage of\mathcal O (N\log N) O (N log N) and …

We propose Parametric Gauss Reconstruction (PGR) for surface reconstruction from point
clouds without normals. Our insight builds on the Gauss formula in potential theory, which …

We describe a wideband version of the Fast Multipole Method for the Helmholtz equation in
three dimensions. It unifies previously existing versions of the FMM for high and low …