Strong-Stability-Preserving, K-Step, 5- to 10-Stage, Hermite-Birkhoff Time-Discretizations of Order 12
نویسندگان
چکیده
منابع مشابه
Strong-Stability-Preserving, K-Step, 5- to 10-Stage, Hermite-Birkhoff Time-Discretizations of Order 12
We construct optimal k-step, 5to 10-stage, explicit, strong-stability-preserving Hermite-Birkhoff (SSP HB) methods of order 12 with nonnegative coefficients by combining linear k-step methods of order 9 with 5to 10-stage Runge-Kutta (RK) methods of order 4. Since these methods maintain the monotonicity property, they are well suited for solving hyperbolic PDEs by the method of lines after a spa...
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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 4-stage explicit SSP Hermite-Birkhoff methods of orders 4 to 8 with nonnegative coefficients are constructed as k-step analogues of fourth-order Runge-Kutta methods with three off-step points....
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Numerical solution for ordinary di erential equations (ODEs) is an established research area. There are many well established methods, such as Runge-Kutta methods and multi-step methods, for such purposes. There are also many excellent books on this subject, for example [1], [13] and [17]. Special purpose ODE solvers, such as those for sti ODEs, are also well studied. See, e.g., [6]. However, t...
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ژورنال
عنوان ژورنال: American Journal of Computational Mathematics
سال: 2011
ISSN: 2161-1203,2161-1211
DOI: 10.4236/ajcm.2011.12008