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: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2006/v7r119.html
Дата изменения: Fri Jun 23 17:30:04 2006 Дата индексирования: Mon Oct 1 22:40:53 2012 Кодировка: |
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"A rate of convergence and error estimates for difference methods
used to approximate solutions to ill-posed Cauchy problems in a
Banach space" Bakushinsky A.B., Kokurin M.Yu., Kljuchev V.V. |
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A class of finite difference methods of solving ill--posed Cauchy problems for abstract linear differential equations with sectorial operators in a Banach space is studied. Under various a priori assumptions on a solution, we establish several time-uniform estimates for the accuracy of finite difference approximations. We also give some estimates for errors caused by perturbations of initial conditions.
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Bakushinsky A.B.
e-mail: bakush@isa.ru
Kokurin M.Yu., Kljuchev V.V. e-mail: kokurin@marsu.ru |