On high order strong stability preserving Runge-Kutta and multi step time discretizations
On high order strong stability preserving Runge-Kutta and multi step time discretizations
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DOI：
10.1007/s10915-004-4635-5
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发表时间：
2005-10-01
影响因子：
2.5
通讯作者：
Gottlieb, S
中科院分区：
文献类型：
--
作者：
Gottlieb, S
Strong stability preserving (SSP) high order time discretizations were developed for solution of semi-discrete method of lines approximations of hyperbolic partial differential equations. These high order time discretization methods preserve the strong stability properties-in any norm or seminorm-of the spatial discretization coupled with first order Euler time stepping. This paper describes the development of SSP methods and the recently developed theory which connects the timestep restriction on SSP methods with the theory of monotonicity and contractivity. Optimal explicit SSP Runge-Kutta methods for nonlinear problems and for linear problems as well as implicit Runge-Kutta methods and multi step methods will be collected.
