Geodesic
Finite element solution of the Kolmogorov–Feller equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 4, pp. 654-660 Cet article a éte moissonné depuis la source Math-Net.Ru

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For the Kolmogorov–Feller integro-differential equation, a solution method is proposed based on its finite-element approximation. 
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N. A. Baranov; L. I. Turchak. Finite element solution of the Kolmogorov–Feller equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 4, pp. 654-660. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_4_a9/

[1] Baranov N. A., Turchak L. I., Metody analiza funktsionalnoi bezopasnosti slozhnykh tekhnicheskikh sistem, VTs RAN, M., 2006 | MR

[2] Bulinskii A. V., Shiryaev A. N., Teoriya sluchainykh protsessov, Nauka, M., 2004

[3] Gardiner K. V., Stokhasticheskie metody v estestvennykh naukakh, Mir, M., 1986 | MR | Zbl

[4] Baranov N. A., “Reshenie uravneniya dinamiki sostoyanii sistemy s nakopleniem povrezhdenii metodom konechnykh raznostei”, Nauch. vestn. MGTU GA. Ser. Aeromekhan. i prochnost, 2007, no. 119, 163–165

[5] Baranov N. A., “Chislennoe reshenie uravneniya dinamiki sostoyanii diskretno povrezhdaemoi sistemy”, Nauch. vestn. MGTU GA. Ser. Aeromekhan. i prochnost, 2007, no. 119, 149–151

[6] Baranov N. A., Krasnikov O. E., “Chislennyi metod resheniya uravneniya dinamiki sostoyanii sistemy s nepreryvnym mnozhestvom sostoyanii”, Vestn. Tambovskogo un-ta. Ser. Estestv. i tekhn. nauki, 11:3 (2006), 291–294 | MR

[7] Baranov N. A., Turchak L. I., “Chislennoe reshenie uravneniya Kolmogorova–Fellera”, Zh. vychisl. matem. i matem. fiz., 47:7 (2007), 1221–1228 | MR

[8] Baranov N. A., Turchak L. I., “Chislennoe reshenie uravneniya Kolmogorova-Fellera s singulyarnymi osobennostyami”, Zh. vychisl. matem. i matem. fiz., 50:2 (2010), 347–351 | MR | Zbl

[9] Khartman F., Obyknovennye differentsialnye uravneniya, Mir, M., 1970 | MR

[10] Natanson I. G., Teoriya funktsii veschestvennoi peremennoi, Nauka, M., 1974 | MR