Geodesic
The direct numerical Euler method for finding extrema of non-local functionals
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 3, pp. 297-309

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There is considered a direct numerical method, which is the generalization of the Euler method for the non-local functionals depending on functions with deviations of different signs, as well as for non-local functionals depending on functions of two independent variables. 
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     author = {G. A. Kamenskii and G. N. Kuzmin},
     title = {The direct numerical {Euler} method for finding extrema of non-local functionals},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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G. A. Kamenskii; G. N. Kuzmin. The direct numerical Euler method for finding extrema of non-local functionals. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 3, pp. 297-309. http://geodesic.mathdoc.fr/item/SJVM_2008_11_3_a4/