Central Schemes for Balance Laws of Relaxation Type SIAM Journal on Numerical Analysis Volume 38, Number 4 pp. Giovanni Russo Abstract. 4 Several models in mathematical physics are described by quasi-linear hyperbolic systems with source term and in several cases the production term can become stiff. Here suitable central numerical schemes for such problems are developed and applications to the Broadwell model and extended thermodynamics are presented. A second order scheme uniformly accurate in the relaxation parameter is derived and its properties analyzed.
Numerical tests confirm the accuracy and robustness of the scheme.
82D05 PII .