TY - JOUR
T1 - Construction of SDIRK methods with dispersive stability functions
AU - Izzo, Giuseppe
AU - Jackiewicz, Zdzislaw
N1 - Publisher Copyright:
© 2020 IMACS
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2021/2
Y1 - 2021/2
N2 - 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.
AB - 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.
KW - Dispersion relations
KW - Ordinary differential equations
KW - Oscillating solutions
KW - SDIRK methods
KW - Stability function
UR - http://www.scopus.com/inward/record.url?scp=85092893178&partnerID=8YFLogxK
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U2 - 10.1016/j.apnum.2020.10.010
DO - 10.1016/j.apnum.2020.10.010
M3 - Article
AN - SCOPUS:85092893178
SN - 0168-9274
VL - 160
SP - 265
EP - 280
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
ER -