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B-convergence of a Class of Multistep Multiderivative Methods
作者单位:Computing Center,Shaoyang Teacher's College,Hunan,422000
摘    要:B-convergenceofaClassofMultistepMultiderivativeMethodsHuangChengming(黄乘明)(ComputingCenter,ShaoyangTeacher'sCollege,Hunan,4220...


B-convergence of a Class of Multistep Multiderivative Methods
Huang Chengming. B-convergence of a Class of Multistep Multiderivative Methods[J]. Northeastern Mathematical Journal, 1995, 0(1)
Authors:Huang Chengming
Abstract:This peper deals with the error behaviour of a class of multistep multiderivative methodswhen applied to noalinear stiff mittal value problems of the class KH, in Hilbert spaces.For a class ofmultistep multiderivative methods, it is proved that the order o0 optimal B-convergence equals theclassical order. Accordingly,some high order methods, which are suitable for solving nonlinear stiffinitial value problems, are obtained.
Keywords:Numerical Analysis  B-convergence  Multistep Multiderivative Methods
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