Finite difference schemes for long-time integration
Journal Article
·
· Journal of Computational Physics
- The Institute for Computer Applications in Science and Engineering, Rehovot, (Israel)
A general method for constructing finite difference schemes for long-time integration problems is presented. It is demonstrated for discretizations of first and second space derivatives; however, the approach is not limited to these cases. The schemes are constructed so as to minimize the global truncation error, taking into account the initial data. The resulting second-order compact schemes can be used for integration times fourfold or more longer than previously studied schemes with similar computational complexity. A similar approach was used to obtain improved integration schemes. 12 refs., 14 figs., 4 tabs.
- OSTI ID:
- 99055
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 114; ISSN JCTPAH; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
Similar Records
Compact finite difference schemes for the time fractional diffusion equation with nonlocal boundary conditions
Finite-difference schemes on regular triangular grids
A positive finite-difference advection scheme
Journal Article
·
Sun Jul 15 00:00:00 EDT 2018
· Computational and Applied Mathematics
·
OSTI ID:22783791
Finite-difference schemes on regular triangular grids
Journal Article
·
Fri Oct 01 00:00:00 EDT 1993
· Journal of Computational Physics; (United States)
·
OSTI ID:7071982
A positive finite-difference advection scheme
Journal Article
·
Tue Feb 28 23:00:00 EST 1995
· Journal of Computational Physics
·
OSTI ID:91145