On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces |
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| Authors: | A. B. Bakushinskii M. M. Kokurin M. Yu. Kokurin |
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| Affiliation: | 1.Institute of System Analysis,Russian Academy of Sciences,Moscow,Russia;2.Mari State University,Yoshkar-Ola,Russia |
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| Abstract: | A class of finite-difference schemes for solving ill-posed Cauchy problems for first-order linear differential equations with sectorial operators in Banach spaces is examined. Under various assumptions concerning the desired solution, time-uniform accuracy and error characteristics are obtained that refine and improve known estimates for these schemes. Some numerical results are presented. |
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