We describe a new approach to the construction of rational functions of high dispersive orders, and SDIRK methods with dispersive stability functions, for the numerical solution of differential systems with oscillatory solutions. The numerical experiments on test problems with periodic or almost periodic solutions confirm the order and dispersive order of convergence of the proposed numerical schemes.
Construction of SDIRK methods with dispersive stability functions / Izzo, G.; Jackiewicz, Z.. - In: APPLIED NUMERICAL MATHEMATICS. - ISSN 0168-9274. - 160:(2021), pp. 265-280. [10.1016/j.apnum.2020.10.010]
Construction of SDIRK methods with dispersive stability functions
Izzo G.
;
2021
Abstract
We describe a new approach to the construction of rational functions of high dispersive orders, and SDIRK methods with dispersive stability functions, for the numerical solution of differential systems with oscillatory solutions. The numerical experiments on test problems with periodic or almost periodic solutions confirm the order and dispersive order of convergence of the proposed numerical schemes.File in questo prodotto:
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