Meshfree approximation methods are a relatively new area of research, and there are only a
few books covering it at present. Whereas other works focus almost entirely on theoretical …

The Applied and Numerical Harmonic Analysis (ANHA) book series aims to provide the
engineering, mathematical, and scientific communities with significant developments in …

NFFT 3 is a software library that implements the nonequispaced fast Fourier transform
(NFFT) and a number of related algorithms, for example, nonequispaced fast Fourier …

Magnetic particle imaging (MPI) is a new imaging technique capable of imaging the
distribution of superparamagnetic particles at high spatial and temporal resolution. For the …

A general and fast convolution-based method (FCBM) for peridynamics (PD) is introduced.
Expressing the PD integrals in terms of convolutions and computing them by Fast Fourier …

Magnetic particle imaging (MPI) is a new imaging modality capable of imaging distributions
of superparamagnetic nanoparticles with high sensitivity, high spatial resolution and, in …

Meshfree methods are the topic of recent research in many areas of computational science
and approximation theory. These methods come in various flavors, most of which can be …

We review recent advances in algorithms for quadrature, transforms, differential equations
and singular integral equations using orthogonal polynomials. Quadrature based on …

Based on a parallel scalable library for Coulomb interactions in particle systems, a
comparison between the fast multipole method (FMM), multigrid-based methods, fast Fourier …

The computational complexity of evaluating the kernel density estimate (or its derivatives) at
m evaluation points given n sample points scales quadratically as O (nm)—making it …