Geodesic
Spectral numerical-analytical methods in dynamical systems analysis and generalised Newton--Kantorovich--Mikhailov method
Matematičeskoe modelirovanie, Tome 21 (2009) no. 8, pp. 87-99

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A spectral numerical-analytical method of solving linear systems of differential-algebraic equations of order $m$ is considered. The problems of realisation of spectral numerical-analytical method of solving non-linear differential-algebraic equations (generalised Newton–Kantorovich–Mikhaylov method). 
@article{MM_2009_21_8_a7,
     author = {V. N. Gridin and V. B. Mikhaylov},
     title = {Spectral numerical-analytical methods in dynamical systems analysis and generalised {Newton--Kantorovich--Mikhailov} method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {87--99},
     publisher = {mathdoc},
     volume = {21},
     number = {8},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2009_21_8_a7/}
}
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V. N. Gridin; V. B. Mikhaylov. Spectral numerical-analytical methods in dynamical systems analysis and generalised Newton--Kantorovich--Mikhailov method. Matematičeskoe modelirovanie, Tome 21 (2009) no. 8, pp. 87-99. http://geodesic.mathdoc.fr/item/MM_2009_21_8_a7/