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B-Theory of Runge-Kutta methods for stiff Volterra functional differential equations
作者姓名:李寿佛
作者单位:Department of
基金项目:国家高技术研究发展计划(863计划),国家自然科学基金 
摘    要:B-stability and B-convergence theories of Runge-Kutta methods for nonlinear stiff Volterra func-tional differential equations(VFDEs)are established which provide unified theoretical foundation for the studyof Runge-Kutta methods when applied to nonlinear stiff initial value problems(IVPs)in ordinary differentialequations(ODEs),delay differential equations(DDEs),integro-differential equatioons(IDEs)and VFDEs of


B-Theory of Runge-Kutta methods for stiff Volterra functional differential equations
LI Shoufu.B-Theory of Runge-Kutta methods for stiff Volterra functional differential equations[J].Science in China(Mathematics),2003,46(5).
Authors:LI Shoufu
Institution:Department of Mathematics, Xiangtan University, Xiangtan 411105, China
Abstract: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.
Keywords:stiff functional differential equations  Runge-Kutta methods  B-stability  B-con- vergence  
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