Name
Title | ||
|---|---|---|
On L2-dissipativity of linearized explicit finite-difference schemes with a regularization on a non-uniform spatial mesh for the 1D gas dynamics equations |
Abstract | ||
|---|---|---|
We deal with an explicit finite-difference scheme with a regularization for the 1D gas dynamics equations linearized at the constant solution. The sufficient condition on the Courant number for the L2-dissipativity of the scheme is derived in the case of the Cauchy problem and a non-uniform spatial mesh. The energy-type technique is developed to this end, and the proof is both short and under clear conditions on matrices of the convective and regularizing (dissipative) terms. A scheme with a kinetically motivated regularization is considered as an application in more detail. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.aml.2019.01.006 | Applied Mathematics Letters |
Keywords | Field | DocType |
1D gas dynamics equations,Explicit finite-difference scheme with a regularization,Non-uniform spatial mesh,Stability,L2-dissipativity | Convection,Gas dynamics,Courant–Friedrichs–Lewy condition,Matrix (mathematics),Finite difference,Mathematical analysis,Dissipative system,Regularization (mathematics),Initial value problem,Mathematics | Journal |
Volume | ISSN | Citations |
92 | 0893-9659 | 0 |
PageRank | References | Authors |
0.34 | 0 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| A.A. Zlotnik | 1 | 3 | 5.79 |