STABILITY OF NONLINEAR COMPUTING SCHEMES

被引:7
作者
TUCKER, TS
机构
关键词
D O I
10.1137/0706007
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Extension of Mikhlin's result by deriving necessary and sufficient conditions for stability of nonlinear computing schemes; concept of stability and basic definitions; proof of theorem on stability which relates stability to conditions on Frechet derivatives of operators; as corollaries of this theorem author obtains Mikhlin's basic results and examines computing scheme of Vainikko; special cases and examples of main theorem are given.
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页码:72 / &
相关论文
共 13 条
[11]  
TALDYKIN A, 1959, MAT SB, V29, P79
[12]  
VAINIKKO G, 1966, ZH VYCH MAT MAT FIZ, V6, P35
[13]  
YASKOVA GN, 1962, T MATEM I VA STEKLOV, V66, P182