Geodesic
On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 483-498

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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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     author = {A. B. Bakushinskii and M. M. Kokurin and M. Yu. Kokurin},
     title = {On a~class of finite-difference schemes for solving ill-posed {Cauchy} problems in {Banach} spaces},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {52},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a8/}
}
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A. B. Bakushinskii; M. M. Kokurin; M. Yu. Kokurin. On a class of finite-difference schemes for solving ill-posed Cauchy problems in Banach spaces. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 483-498. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a8/