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| B-Theory of Runge-Kutta methods for stiff Volterra functional differential equations | |
| 引用本文： | 李寿佛. B-Theory of Runge-Kutta methods for stiff Volterra functional differential equations[J]. 中国科学A辑(英文版), 2003, 46(5) |
| 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 |
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| 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 |
| Affiliation: | 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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