Geodesic
Optimization of numerical integration methods for shell models
Numerical methods and programming, Tome 3 (2002) no. 1, pp. 176-179

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We propose an algorithm devised to increase time steps for integrating a system of ordinary differential equations with a linear viscosity term. A special realization of this algorithm is considered for the classical fourth-order Runge-Kutta method. The efficiency of our approach is demonstrated by an example of shell models of turbulence. For problems of such a type, integration steps may increase by orders.
Keywords: numerical integration, shell models, ordinary differential equations, Runge-Kutta methods. 
@article{VMP_2002_3_1_a14,
     author = {R. A. Stepanov},
     title = {Optimization of numerical integration methods for shell models},
     journal = {Numerical methods and programming},
     pages = {176--179},
     publisher = {mathdoc},
     volume = {3},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2002_3_1_a14/}
}
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R. A. Stepanov. Optimization of numerical integration methods for shell models. Numerical methods and programming, Tome 3 (2002) no. 1, pp. 176-179. http://geodesic.mathdoc.fr/item/VMP_2002_3_1_a14/