Geodesic
On rate of convergence of Tonelli's and weak approximation methods for loaded equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 3, pp. 286-294

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We consider the Cauchy problem for a loaded partial differential equation arising in coefficient inverse problem. The convergence of Tonelli's and weak approximation methods for this problem is previously proved. In the article we will prove linear rate of convergence of given methods.
Keywords: differential equation, inverse problem, Cauchy problem, Tonelli's method, weak approximation method
Mots-clés : convergence. 
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     author = {Yuri Ya. Belov and Kirill V. Korshun},
     title = {On rate of convergence of {Tonelli's} and weak approximation methods for loaded equations},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {286--294},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2018_11_3_a2/}
}
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Yuri Ya. Belov; Kirill V. Korshun. On rate of convergence of Tonelli's and weak approximation methods for loaded equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 3, pp. 286-294. http://geodesic.mathdoc.fr/item/JSFU_2018_11_3_a2/