caa a22 4500 475777093 CHVBK 20180406123634.0 cr unu---uuuuu 170329e20000601xx s 000 0 eng 10.1023/A:1007681726414 doi (NATIONALLICENCE)springer-10.1023/A:1007681726414 Convergence of MUSCL Relaxing Schemes to the Relaxed Schemes for Conservation Laws with Stiff Source Terms [Elektronische Daten] [Tao Tang, Jinghua Wang] We consider the convergence and stability property of MUSCL relaxing schemes applied to conservation laws with stiff source terms. The maximum principle for the numerical schemes will be established. It will be also shown that the MUSCL relaxing schemes are uniformly l 1- and TV-stable in the sense that they are bounded by a constant independent of the relaxation parameter ε, the Lipschitz constant of the stiff source term and the time step Δt. The Lipschitz constant of the l 1 continuity in time for the MUSCL relaxing schemes is shown to be independent of ε and Δt. The convergence of the relaxing schemes to the corresponding MUSCL relaxed schemes is then established. Plenum Publishing Corporation, 2000 relaxation scheme nationallicence nonlinear conservation laws nationallicence maximum principle nationallicence convergence nationallicence Tang Tao E-mail: ttang@math.hkbu.edu.hk aut Wang Jinghua E-mail: jwang@iss06.iss.ac.cn aut Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/2(2000-06-01), 173-195 0885-7474 15:2<173 2000 15 10915 https://doi.org/10.1023/A:1007681726414 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1007681726414 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Tang Tao E-mail: ttang@math.hkbu.edu.hk aut NATIONALLICENCE 700 1- Wang Jinghua E-mail: jwang@iss06.iss.ac.cn aut NATIONALLICENCE 773 0- Journal of Scientific Computing Kluwer Academic Publishers-Plenum Publishers 15/2(2000-06-01), 173-195 0885-7474 15:2<173 2000 15 10915 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer