Abstract
We introduce a new class of finite differences schemes to approximate one dimensional dissipative semilinear hyperbolic systems with a BGK structure. Using precise analytical time-decay estimates of the local truncation error, it is possible to design schemes, based on the standard upwind approximation, which are increasingly accurate for large times when approximating small perturbations of constant asymptotic states. Numerical tests show their better performances with respect to those of other schemes.
Anno
2016
Autori IAC
Tipo pubblicazione
Altri Autori
AregbaDriollet, Denise; Briani, Maya; Natalini, Roberto
Editore
Springer
Rivista
Numerische Mathematik