On the order of Accuracy of Finite Difference Operators on Diagonal Norm Based Summation-by-Parts Form
暂无分享,去创建一个
[1] Magnus Svärd,et al. On Coordinate Transformations for Summation-by-Parts Operators , 2004, J. Sci. Comput..
[2] Jan Nordström,et al. On the Suboptimal Accuracy of Summation-by-parts Schemes with Non-conforming Block Interfaces , 2016 .
[3] B. Gustafsson. The convergence rate for difference approximations to mixed initial boundary value problems , 1975 .
[4] Magnus Svärd,et al. Review of summation-by-parts schemes for initial-boundary-value problems , 2013, J. Comput. Phys..
[5] H. Kreiss,et al. Finite Element and Finite Difference Methods for Hyperbolic Partial Differential Equations , 1974 .
[6] David C. Del Rey Fernández,et al. Corner-corrected diagonal-norm summation-by-parts operators for the first derivative with increased order of accuracy , 2017, J. Comput. Phys..
[7] B. Strand. Summation by parts for finite difference approximations for d/dx , 1994 .
[8] Bertil Gustafsson,et al. The convergence rate for difference approximations to general mixed initial boundary value problems , 1981 .
[9] Bradley K. Alpert,et al. Hybrid Gauss-Trapezoidal Quadrature Rules , 1999, SIAM J. Sci. Comput..
[10] Jan Nordström,et al. Conservative Finite Difference Formulations, Variable Coefficients, Energy Estimates and Artificial Dissipation , 2006, J. Sci. Comput..
[11] J. Nordström,et al. Summation by Parts Operators for Finite Difference Approximations of Second-Derivatives with Variable Coefficients , 2004, Journal of Scientific Computing.
[12] Magnus Svärd,et al. On the order of accuracy for difference approximations of initial-boundary value problems , 2006, J. Comput. Phys..
[13] Ken Mattsson,et al. Optimal diagonal-norm SBP operators , 2014, J. Comput. Phys..
[14] Gregor Gassner,et al. A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods , 2013, SIAM J. Sci. Comput..
[15] Travis C. Fisher,et al. High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains , 2013, J. Comput. Phys..
[16] David Gottlieb,et al. Spectral Methods on Arbitrary Grids , 1995 .
[17] Jan Nordström,et al. Summation-by-Parts operators with minimal dispersion error for coarse grid flow calculations , 2017, J. Comput. Phys..
[18] Jason E. Hicken,et al. Summation-by-parts operators and high-order quadrature , 2011, J. Comput. Appl. Math..
[19] Jan Nordström,et al. Uniformly best wavenumber approximations by spatial central difference operators , 2015, J. Comput. Phys..
[20] David C. Del Rey Fernández,et al. A generalized framework for nodal first derivative summation-by-parts operators , 2014, J. Comput. Phys..
[21] David C. Del Rey Fernández,et al. Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements , 2015, SIAM J. Sci. Comput..
[22] D. Gottlieb,et al. A Stable and Conservative Interface Treatment of Arbitrary Spatial Accuracy , 1999 .
[23] Philipp Öffner,et al. Summation-by-parts operators for correction procedure via reconstruction , 2015, J. Comput. Phys..
[24] Mark H. Carpenter,et al. Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods , 2009, SIAM J. Sci. Comput..
[25] Magnus Svärd,et al. Response to “Convergence of Summation-by-Parts Finite Difference Methods for the Wave Equation” , 2018, J. Sci. Comput..
[26] Gregor Gassner,et al. Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations , 2016, J. Comput. Phys..