Name
Title | ||
|---|---|---|
L2-dissipativity of the linearized explicit finite-difference scheme with a kinetic regularization for 2D and 3D gas dynamics system of equations |
Abstract | ||
|---|---|---|
We study an explicit in time and symmetric in space finite-difference scheme with a kinetic regularization for the 2D and 3D gas dynamics system of equations linearized at a constant solution (with any velocity). We derive both necessary and sufficient conditions for L2-dissipativity of the Cauchy problem for the scheme by the spectral method. The Courant number is uniformly bounded with respect to the Mach number in them. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.aml.2019.106198 | Applied Mathematics Letters |
Keywords | Field | DocType |
Gas dynamics equations,Kinetic regularization,Explicit two-level finite-difference scheme,Stability,L2-dissipativity | Courant–Friedrichs–Lewy condition,System of linear equations,Mathematical analysis,Uniform boundedness,Regularization (mathematics),Spectral method,Initial value problem,Mach number,Mathematics,Kinetic energy | Journal |
Volume | ISSN | Citations |
103 | 0893-9659 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| A.A. Zlotnik | 1 | 3 | 5.79 |
| Timofey Lomonosov | 2 | 0 | 0.34 |