Strong-stability-preserving 3-stage Hermite–Birkhoff time-discretization methods

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• 作者：Truong Nguyen-Ba^a ; ^{trnguyen@uottawa.ca} ; Huong Nguyen-Thu^a ; ^{nthuongctu@yahoo.com} ; Thierry Giordano^a ; ^{giordano@uottawa.ca} ; Ré ; mi Vaillancourt ; ^a ; ^{remi@uottawa.ca} ;
• 关键词：Strong stability preserving ; Hermite– ; Birkhoff method ; CFL coefficient ; Time discretization ; Method of lines ; Comparison with other SSP methods
• 刊名：Applied Numerical Mathematics
• 出版年：2011
• 出版时间：April 2011
• 年：2011
• 卷：61
• 期：4
• 页码：487-500
• 全文大小：211 K

文摘

Strong-stability-preserving (SSP) time-discretization methods have a nonlinear stability property that makes them particularly suitable for the integration of hyperbolic conservation laws. A collection of SSP explicit 3-stage Hermite–Birkhoff methods of orders 3 to 7 with nonnegative coefficients are constructed as k-step analogues of third-order Runge–Kutta methods, incorporating a function evaluation at two off-step points. Generally, these new methods have larger effective CFL coefficients than the hybrid methods of Huang with the same step number k. They have larger maximum scaled step sizes than hybrid methods on Burgers' equations.