B -Theory of Runge-Kutta methods for stiff Volterra functional differential equations
B -Theory of Runge-Kutta methods for stiff Volterra functional differential equations
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DOI：
10.1360/02ys0197
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发表时间：
2003-09
影响因子：
1.4
通讯作者：
Li Shoufu
中科院分区：
文献类型：
--
作者：
Li Shoufu
建立了非线性刚性沃尔泰拉泛函微分方程Runge-Kutta方法的B -稳定性和B -收敛性理论，为研究Runge-Kutta方法在常微分方程、延迟微分方程、积分微分方程（IDE）和其他类型的VFDE在实践中出现。
B -stability and B -convergence theories of Runge-Kutta methods for nonlinear stiff Volterra functional differential equations (VFDEs) are established which provide unified theoretical foundation for the study of Runge-Kutta methods when applied to nonlinear stiff initial value problems (IVPs) in ordinary differential equations (ODEs), delay differential equations (DDEs), integro-differential equations (IDEs) and VFDEs of other type which appear in practice.