High Order Maximum Principle Preserving Finite Volume Method for Convection Dominated Problems
暂无分享,去创建一个
[1] Chi-Wang Shu,et al. High Order Strong Stability Preserving Time Discretizations , 2009, J. Sci. Comput..
[2] Róbert Horváth,et al. Discrete maximum principle for linear parabolic problems solved on hybrid meshes , 2005 .
[3] Centro internazionale matematico estivo. Session,et al. Advanced Numerical Approximation of Nonlinear Hyperbolic Equations , 1998 .
[4] Zhengfu Xu,et al. High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation , 2013, J. Comput. Phys..
[5] Chi-Wang Shu,et al. On positivity preserving finite volume schemes for Euler equations , 1996 .
[6] Sergey Korotov,et al. Discrete maximum principles for nonlinear parabolic PDE systems , 2012 .
[7] Xiangxiong Zhang,et al. On maximum-principle-satisfying high order schemes for scalar conservation laws , 2010, J. Comput. Phys..
[8] S. Zalesak. Introduction to “Flux-Corrected Transport. I. SHASTA, A Fluid Transport Algorithm That Works” , 1997 .
[9] A. Harten. High Resolution Schemes for Hyperbolic Conservation Laws , 2017 .
[10] Nikolaus A. Adams,et al. Positivity-preserving method for high-order conservative schemes solving compressible Euler equations , 2013, J. Comput. Phys..
[11] Zhengfu Xu. Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem , 2014, Math. Comput..
[12] Zhengfu Xu,et al. Parametrized Positivity Preserving Flux Limiters for the High Order Finite Difference WENO Scheme Solving Compressible Euler Equations , 2014, J. Sci. Comput..
[13] Yuanyuan Liu,et al. Maximum-principle-satisfying High Order Finite Volume Weighted Essentially Nonoscillatory Schemes for Convection-diffusion Equations , 2012, SIAM J. Sci. Comput..
[14] Zhengfu Xu,et al. A parametrized maximum principle preserving flux limiter for finite difference RK-WENO schemes with applications in incompressible flows , 2013, J. Comput. Phys..
[15] S. Zalesak. Fully multidimensional flux-corrected transport algorithms for fluids , 1979 .
[16] Yifan Zhang,et al. Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes , 2013, J. Comput. Phys..
[17] Chao Liang,et al. Parametrized Maximum Principle Preserving Flux Limiters for High Order Schemes Solving Multi-Dimensional Scalar Hyperbolic Conservation Laws , 2014, J. Sci. Comput..
[18] Yi Jiang,et al. Parametrized Maximum Principle Preserving Limiter for Finite Difference WENO Schemes Solving Convection-Dominated Diffusion Equations , 2013, SIAM J. Sci. Comput..
[19] J. Boris,et al. Flux-Corrected Transport , 1997 .
[20] Xiangxiong Zhang,et al. On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes , 2010, J. Comput. Phys..
[21] Róbert Horváth,et al. Discrete Maximum Principle and Adequate Discretizations of Linear Parabolic Problems , 2006, SIAM J. Sci. Comput..
[22] Chi-Wang Shu,et al. Strong Stability-Preserving High-Order Time Discretization Methods , 2001, SIAM Rev..