Model-Driven Choice of Numerical Methods for the Solution of the Linear Advection Equation
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Torsten Hoefler | Thomas C. Schulthess | Andrea Arteaga | Oliver Fuhrer | T. Hoefler | T. Schulthess | O. Fuhrer | Andrea Arteaga
[1] P. Lauritzen. Numerical techniques for global atmospheric models , 2011 .
[2] Michael Baldauf. Stability analysis for linear discretisations of the advection equation with Runge-Kutta time integration , 2008, J. Comput. Phys..
[3] David P. Lockard,et al. High accuracy algorithms for computational aeroacoustics , 1994 .
[4] David Joyner,et al. Open source computer algebra systems: SymPy , 2012, ACCA.
[5] Sally A. McKee,et al. Hitting the memory wall: implications of the obvious , 1995, CARN.
[6] John Thuburn,et al. Vertical Discretizations: Some Basic Ideas , 2011 .
[7] T. Colonius,et al. Computational aeroacoustics: progress on nonlinear problems of sound generation , 2004 .
[8] Matteo Bernardini,et al. A general strategy for the optimization of Runge-Kutta schemes for wave propagation phenomena , 2009, J. Comput. Phys..
[9] John Thuburn. Horizontal Discretizations: Some Basic Ideas , 2011 .
[10] Wim Desmet,et al. Optimal Runge-Kutta schemes for discontinuous Galerkin space discretizations applied to wave propagation problems , 2012, J. Comput. Phys..
[11] Steven E. Benzley,et al. A Comparison of All Hexagonal and All Tetrahedral Finite Element Meshes for Elastic and Elasto-plastic Analysis , 2011 .
[12] Michael Hofmann,et al. Comparison of scalable fast methods for long-range interactions. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.
[13] Joel H. Ferziger,et al. Computational methods for fluid dynamics , 1996 .
[14] Manuel Calvo,et al. Short note: a new minimum storage Runge-Kutta scheme for computational acoustics , 2004 .
[15] Sergio Pirozzoli,et al. Performance analysis and optimization of finite-difference schemes for wave propagation problems , 2007, J. Comput. Phys..
[16] Ilaria Perugia,et al. An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems , 2000, SIAM J. Numer. Anal..
[17] C. J. Cotter,et al. Compatible finite element methods for numerical weather prediction , 2014 .
[18] Arturo Cifuentes,et al. A performance study of tetrahedral and hexahedral elements in 3-D finite element structural analysis , 1992 .
[19] D. Durran. Numerical Methods for Fluid Dynamics: With Applications to Geophysics , 2010 .
[20] David W. Zingg,et al. Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation , 2000, SIAM J. Sci. Comput..
[21] R. D. Richtmyer,et al. Survey of the stability of linear finite difference equations , 1956 .
[22] Samuel Williams,et al. Roofline: an insightful visual performance model for multicore architectures , 2009, CACM.
[23] J. Butcher. The numerical analysis of ordinary differential equations: Runge-Kutta and general linear methods , 1987 .
[24] Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics , 2003 .
[25] W. H. Reed,et al. Triangular mesh methods for the neutron transport equation , 1973 .
[26] M. Nallasamy,et al. High-Accuracy Large-Step Explicit Runge-Kutta (HALE-RK) Schemes for Computational Aeroacoustics , 2006 .