Summary Continuously indexed Gaussian fields (GFs) are the most important ingredient in
spatial statistical modelling and geostatistics. The specification through the covariance …

Past and recent research on the use of non-reflecting boundary conditions in the numerical
solution of wave problems is reviewed. Local and nonlocal boundary conditions are …

Along with finite differences and finite elements, spectral methods are one of the three main
methodologies for solving partial differential equations on computers. This book provides a …

Patient-specific models of blood flow in the coronary arteries have entered clinical practice
worldwide to aid in the diagnosis and management of heart disease. This technology …

Procedures to define boundary conditions for Navier-Stokes equations are discussed. A new
formulation using characteristic wave relations through boundaries is derived for the Euler …

Since the middle of the last century, computing power has increased sufficiently that the
direct numerical approximation of Maxwell's equations is now an increasingly important tool …

An approach is developed for deriving variational methods capable of representing
multiscale phenomena. The ideas are first illustrated on the exterior problem for the …

This chapter is devoted to the finite element analysis of Helmholtz problems on bounded
domains. Speaking of “Finite Element Analysis,” we elaborate on the computational analysis …

The development of numerical methods for solving the Helmholtz equation, which behaves
robustly with respect to the wave number, is a topic of vivid research. It was observed that …

This volume reviews and discusses the main numerical methods used today for solving
problems in infinite domains. It also presents in detail one very effective method in this class …