Free Access
| Issue |
ESAIM: M2AN
Volume 46, Number 3, May-June 2012
Special volume in honor of Professor David Gottlieb
|
|
|---|---|---|
| Page(s) | 545 - 557 | |
| DOI | https://doi.org/10.1051/m2an/2011050 | |
| Published online | 11 January 2012 | |
- M. Ainsworth, Discrete dispersion relation for hp-version finite element approximation at high wave number. SIAM J. Numer. Anal. 42 (2004) 553–575. [CrossRef] [MathSciNet] [Google Scholar]
- M. Ainsworth, Dispersive and dissipative behavior of high-order discontinuous Galerkin finite element methods. J. Comput. Phys. 198 (2004) 106–130. [CrossRef] [Google Scholar]
- D. Appelö and T. Hagstrom, Experiments with Hermite methods for simulating compressible flows : Runge-Kutta time-stepping and absorbing layers, in 13th AIAA/CEAS Aeroacoustics Conference. AIAA (2007). [Google Scholar]
- G. Birkhoff, M. Schultz and R. Varga, Piecewise Hermite interpolation in one and two variables with applications to partial differential equations. Numer. Math. 11 (1968) 232–256. [CrossRef] [MathSciNet] [Google Scholar]
- P. Borwein and T. Erdélyi, Polynomials and Polynomial Inequalities. Springer-Verlag, New York (1995). [Google Scholar]
- P. Davis, Interpolation and Approximation. Dover Publications, New York (1975). [Google Scholar]
- L. Demkowicz, J. Kurtz, D. Pardo, M. Paszynski, W. Rachowicz and A. Zdunek, Computing with hp-Adaptive Finite Elements. Applied Mathematics & Nonlinear Science, Chapman & Hall/CRC, Boca Raton (2007). [Google Scholar]
- C. Dodson, A high-order Hermite compressible Navier-Stokes solver. Master’s thesis, The University of New Mexico (2003). [Google Scholar]
- B. Fornberg, On a Fourier method for the integration of hyperbolic equations. SIAM J. Numer. Anal. 12 (1975) 509–528. [CrossRef] [MathSciNet] [Google Scholar]
- J. Goodrich, T. Hagstrom and J. Lorenz, Hermite methods for hyperbolic initial-boundary value problems. Math. Comput. 75 (2006) 595–630. [Google Scholar]
- D. Gottlieb and S.A. Orszag, Numerical Analysis of Spectral Methods. SIAM, Philadelphia (1977). [Google Scholar]
- D. Gottlieb and E. Tadmor, The CFL condition for spectral approximations to hyperbolic initial-boundary value problems. Math. Comput. 56 (1991) 565–588. [CrossRef] [Google Scholar]
- A. Griewank, Evaluating Derivatives : Principles and Techniques of Algorithmic Differentiation. SIAM, Philadelphia (2000). [Google Scholar]
- E. Hairer, C. Lubich and M. Schlichte, Fast numerical solution of nonlinear Volterra convolutional equations. SIAM J. Sci. Statist. Comput. 6 (1985) 532–541. [CrossRef] [MathSciNet] [Google Scholar]
- G.-S. Jiang and E. Tadmor, Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. SIAM J. Sci. Comput. 19 (1998) 1892–1917. [CrossRef] [MathSciNet] [Google Scholar]
- H.-O. Kreiss and J. Oliger, Comparison of accurate methods for the integration of hyperbolic equations. Tellus 24 (1972) 199–215. [CrossRef] [MathSciNet] [Google Scholar]
- F. Lörcher, G. Gassner and C.-D. Munz, An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations. J. Comput. Phys. 227 (2008) 5649–5670. [CrossRef] [Google Scholar]
- T. Warburton and T. Hagstrom, Taming the CFL number for discontinuous Galerkin methods on structured meshes. SIAM J. Numer. Anal. 46 (2008) 3151–3180. [CrossRef] [MathSciNet] [Google Scholar]
- J. Weideman and L. Trefethen, The eigenvalues of second-order differentiation matrices. SIAM J. Numer. Anal. 25 (1988) 1279–1298. [CrossRef] [MathSciNet] [Google Scholar]
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