Geodesic
Balanced characteristic method for 1D systems of hyperbolic conservation laws in eulerian representation
Matematičeskoe modelirovanie, Tome 18 (2006) no. 11, pp. 14-30

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New computational method is suggested which joint advantages of conservative finite volume algorithms and characteristics ones. The remarkable feature of new method is a presence of two types of variables, so called 'conservative' parameters and 'fluxes' values. The specialization enables the opportunity to use the conservative form of equation for determination of conservative variables and characteristic form for fluxes parameters. The new computational method is more precise then the well known TVD, TVB and ENO schemes. 
@article{MM_2006_18_11_a1,
     author = {V. M. Goloviznin},
     title = {Balanced characteristic method for {1D} systems of hyperbolic conservation laws in eulerian representation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {14--30},
     publisher = {mathdoc},
     volume = {18},
     number = {11},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2006_18_11_a1/}
}
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V. M. Goloviznin. Balanced characteristic method for 1D systems of hyperbolic conservation laws in eulerian representation. Matematičeskoe modelirovanie, Tome 18 (2006) no. 11, pp. 14-30. http://geodesic.mathdoc.fr/item/MM_2006_18_11_a1/