Geodesic
Maximal order of accuracy of $(m, 1)$-methods for solving stiff problems
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2011), pp. 100-107

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We investigate $(m, 1)$-methods for solving stiff problems in which the right part of system of the differential equations is calculated one times on each step. It is shown that the maximal order of accuracy of the $L$-stability $(m, 1)$-method is equal to two, and the method of the maximal order is constructed.
Keywords: stiff problems, Rosenbrock schemes, k)$-methods, $A$-stability, $L$-stability.
Mots-clés : $(m 
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     author = {E. A. Novikov},
     title = {Maximal order of accuracy of $(m, 1)$-methods for solving stiff problems},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {100--107},
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     number = {3},
     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/VSGTU_2011_3_a9/}
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E. A. Novikov. Maximal order of accuracy of $(m, 1)$-methods for solving stiff problems. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2011), pp. 100-107. http://geodesic.mathdoc.fr/item/VSGTU_2011_3_a9/