Computations with inverse Runge-Kutta schemes

被引:4
作者
Kalitkin N.N. [1 ]
Poshivaylo I.P. [1 ]
机构
[1] Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow
关键词
differential-algebraic systems; implicit Runge-Kutta methods; stiff systems;
D O I
10.1134/S2070048214030077
中图分类号
学科分类号
摘要
A new subclass of schemes is considered formally reduced to the class of fully implicit Runge-Kutta schemes possessing outstanding accuracy and stability characteristics. The implementation details of the iterative algorithm for solving stiff systems of ODE and differential-algebraic systems of index 1 by means of the proposed schemes are given. © 2014, Pleiades Publishing, Ltd.
引用
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页码:272 / 285
页数:13
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