SOME INPLICIT FINITE DIFFERENCE SCHEMES FOR HYPERBOLIC SYSTEMS
Technical Report
·
OSTI ID:4704095
Implicit finite difference schemes using large time steps can be an advantage in computing slowly varying solutions to hyperbolic systems, but the usual Crank-Nicholson scheme as applied to a hyperbolic system is rather slow. Two modifications of the Crank-Nicholson scheme for hyperbolic systems that are implicit only in that they require the inversion of tridiagonal matrices are described. However, these schemes are unconditionally stable only for positive definite systems (supersonic flow). The results of computations using these schemes are described. (auth)
- Research Organization:
- New York Univ., New York. Courant Inst. of Mathematical Sciences
- NSA Number:
- NSA-17-027722
- OSTI ID:
- 4704095
- Report Number(s):
- NYO-10426
- Country of Publication:
- United States
- Language:
- English
Similar Records
Stability of difference schemes for initial value problems
An implicit-explicit Eulerian Godunov scheme for compressible flow
Implicit schemes and LU decompositions
Technical Report
·
Mon Oct 01 00:00:00 EDT 1973
·
OSTI ID:4936631
An implicit-explicit Eulerian Godunov scheme for compressible flow
Journal Article
·
Tue Jan 31 23:00:00 EST 1995
· Journal of Computational Physics
·
OSTI ID:105452
Implicit schemes and LU decompositions
Journal Article
·
Thu Oct 01 00:00:00 EDT 1981
· Math. Comput.; (United States)
·
OSTI ID:5924750