This book explains how to solve partial differential equations numerically using single and
multidomain spectral methods. It shows how only a few fundamental algorithms form the …

We present a new multidomain spectral collocation method that uses a staggered grid for the
solution of compressible flow problems. The solution unknowns are defined at the nodes of …

We present a flexible, non-conforming staggered-grid Chebyshev spectral multidomain method
for the solution of the compressible Navier–Stokes equations. In this method, subdomain …

Fisher and Carpenter (2013) [12] found a remarkable equivalence of general diagonal norm
high-order summation-by-parts operators to a subcell based high-order finite volume …

We present a Chebyshev multidomain method that can solve systems of hyperbolic equations
in conservation form on an unrestricted quadrilateral subdivision of a domain. Within each …

… JOKIPII AND KOPRIVA … 388 JOKIPII AND KOPRIVA … JOKIPII AND KOPRIVA …

We study how to approximate the metric terms that arise in the discontinuous spectral
element (DSEM) approximation of hyperbolic systems of conservation laws when the element …

In this paper we solve electromagnetic scattering problems by approximating Maxwell's
equations in the time‐domain with a high‐order quadrilateral discontinuous spectral element …

We examine the dispersion and dissipation properties of the Gauss and Gauss–Lobatto
discontinuous Galerkin spectral element methods (DGSEMs), for linear wave propagation …

We examine four nodal versions of tensor product discontinuous Galerkin spectral element
approximations to systems of conservation laws for quadrilateral or hexahedral meshes. …