Volume 56, Issue 3

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November 2006

Spectral interpolation in non-orthogonal domains: algorithms and applications

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12 articles in this issue

Spectral interpolation in non-orthogonal domains: algorithms and applications
George Em Karniadakis
Jan S. Hesthaven
Preface 27 September 2006 Pages: 201 - 202
Computing the zeros, maxima and inflection points of Chebyshev, Legendre and Fourier series: solving transcendental equations by spectral interpolation and polynomial rootfinding
John P. Boyd
Original Paper 18 November 2006 Pages: 203 - 219
A generalization of prolate spheroidal functions with more uniform resolution to the triangle
Mark A. Taylor
Beth A. Wingate
Original Paper 28 September 2006 Pages: 221 - 235
Measuring characteristic length scales of eigenfunctions of Sturm–Liouville equations in one and two dimensions
Beth A. Wingate
Mark A. Taylor
Original Paper 13 October 2006 Pages: 237 - 245
An explicit construction of interpolation nodes on the simplex
T. Warburton
Original Paper 27 September 2006 Pages: 247 - 262
A comparison of interpolation grids over the triangle or the tetrahedron
M. G. Blyth
H. Luo
C. Pozrikidis
Original Paper 10 November 2006 Pages: 263 - 272
Aliasing errors due to quadratic nonlinearities on triangular spectral /hp element discretisations
Robert M. Kirby
Spencer J. Sherwin
Origina Article 03 October 2006 Pages: 273 - 288
Hierarchical spectral basis and Galerkin formulation using barycentric quadrature grids in triangular elements
L. Grinberg
G. E. Karniadakis
Original Paper 11 January 2007 Pages: 289 - 306
A diagonal-mass-matrix triangular-spectral-element method based on cubature points
F. X. Giraldo
M. A. Taylor
Original Paper 10 November 2006 Pages: 307 - 322
Neumann–Neumann–Schur complement methods for Fekete spectral elements
Richard Pasquetti
Francesca Rapetti
Elena Zampieri
riginal Paper 22 September 2006 Pages: 323 - 335
An adaptive least-squares spectral collocation method with triangular elements for the incompressible Navier–Stokes equations
Wilhelm Heinrichs
Original Paper 27 September 2006 Pages: 337 - 350
Nodal DG-FEM solution of high-order Boussinesq-type equations
Allan P. Engsig-Karup
Jan S. Hesthaven
Per A. Madsen
Original Paper 11 October 2006 Pages: 351 - 370

Volume 56, Issue 3

Spectral interpolation in non-orthogonal domains: algorithms and applications

Computing the zeros, maxima and inflection points of Chebyshev, Legendre and Fourier series: solving transcendental equations by spectral interpolation and polynomial rootfinding

A generalization of prolate spheroidal functions with more uniform resolution to the triangle

Measuring characteristic length scales of eigenfunctions of Sturm–Liouville equations in one and two dimensions

An explicit construction of interpolation nodes on the simplex

A comparison of interpolation grids over the triangle or the tetrahedron

Aliasing errors due to quadratic nonlinearities on triangular spectral /hp element discretisations

Hierarchical spectral basis and Galerkin formulation using barycentric quadrature grids in triangular elements

A diagonal-mass-matrix triangular-spectral-element method based on cubature points

Neumann–Neumann–Schur complement methods for Fekete spectral elements

An adaptive least-squares spectral collocation method with triangular elements for the incompressible Navier–Stokes equations

Nodal DG-FEM solution of high-order Boussinesq-type equations

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