Geodesic
On explicit methods for the time integration of parabolic equations
Matematičeskoe modelirovanie, Tome 22 (2010) no. 10, pp. 127-158

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We consider some principles for construction of the time integration schemes for parabolic equations. It is presented an approach based on explicit iterations with Chebyshev parameters and resulting in the schemes of the first and second order of accuracy. This paper gives systematization of knowledge of these schemes, conditions of their applicability, included applications for computations of high temperature processes in thermonuclear targets.
Keywords: difference schemes, Chebyshev parameters.
Mots-clés : parabolic equations 
@article{MM_2010_22_10_a9,
     author = {V. T. Zhukov},
     title = {On explicit methods for the time integration of parabolic equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {127--158},
     publisher = {mathdoc},
     volume = {22},
     number = {10},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2010_22_10_a9/}
}
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V. T. Zhukov. On explicit methods for the time integration of parabolic equations. Matematičeskoe modelirovanie, Tome 22 (2010) no. 10, pp. 127-158. http://geodesic.mathdoc.fr/item/MM_2010_22_10_a9/