An explicit, adaptive grid algorithm for one-dimensional initial value problems

Applied Numerical Mathematics

Volumn 26, Issue 1-2, 1998, Pages 3-12

  Farrell, Kevin ^a   Drury, Luke O'C ^a  

^a DUBLIN INSTITUTE FOR ADVANCED STUDIES   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; INITIAL VALUE PROBLEMS; INTEGRATION; PROBLEM SOLVING;

ADAPTIVE GRID ALGORITHM; ARTIFICIAL RESOLUTION FUNCTION; HYDRODYNAMICAL TEST PROBLEM;

ADAPTIVE ALGORITHMS;

EID: 0031626249     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(97)00076-7     Document Type: Article

References (6)

1. E.A. Dorfi and L.O'C. Drury, Simple adaptive grids for 1-D initial value problems, J. Comput. Phys. 69 (1987) 1.
2. K. Farrell, Explicit and adaptive grid methods for implicit conservative gas dynamics in one-dimension, Irish Astr. J. 23 (2) (1996) 165-170.
3. W.M. Tscharnuter and K.-H.A. Winkler, Comput. Phys. Comm. 18 (1979) 171.
4. K.-H.A. Winkler, Ph.D. Thesis, University of Göttingen (1976).
5. K.-H.A. Winkler, M.L. Norman and D. Mihalas, Preprint MPI für Astrophysik Garching, MPA-112 (1984); Comput. Techniques Series, submitted.
6. K.-H.A. Winkler, M.L. Norman and M.J. Newman, Phys. D 12 (1984) 408.