Geodesic
Error estimate in the projection-difference method for an abstract quasilinear hyperbolic equation with a~non-smooth right-hand side
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 2, pp. 127-137

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We analyze the convergence of a three-level scheme of the projection-difference method for an abstract quasilinear hyperbolic equation in a Hilbert space with variable operator coefficients and a non-smooth (only Bochner integrable) right-hand side. We fix an energy error estimate without any special conditions imposed on the projection subspaces. 
@article{SJVM_2008_11_2_a1,
     author = {S. E. Zhelezovsky},
     title = {Error estimate in the projection-difference method for an abstract quasilinear hyperbolic equation with a~non-smooth right-hand side},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {127--137},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2008_11_2_a1/}
}
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S. E. Zhelezovsky. Error estimate in the projection-difference method for an abstract quasilinear hyperbolic equation with a~non-smooth right-hand side. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 11 (2008) no. 2, pp. 127-137. http://geodesic.mathdoc.fr/item/SJVM_2008_11_2_a1/