Geodesic
Stability domains of explicit multistep
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 25 (2022) no. 4, pp. 417-428

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A new algorithm is proposed for obtaining stability domains of multistep numerical schemes. The algorithm is based on Bernoulli’s algorithm for computing the greatest in magnitude root of a polynomial with complex coefficients and the Dandelin–Lobachevsky–Graeffe method for squaring the roots. Numerical results on the construction of stability domains of Adams–Bashforth methods of order 3–11 are given. 
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     author = {I. V. Kireev and A. E. Novikov and E. A. Novikov},
     title = {Stability domains of explicit multistep},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {417--428},
     publisher = {mathdoc},
     volume = {25},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2022_25_4_a6/}
}
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I. V. Kireev; A. E. Novikov; E. A. Novikov. Stability domains of explicit multistep. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 25 (2022) no. 4, pp. 417-428. http://geodesic.mathdoc.fr/item/SJVM_2022_25_4_a6/