메뉴 건너뛰기
BIT
Volumn 26, Issue 1, 1986, Pages 100-113
Local error control in SDIRK-methods
Author keywords

AMS MOS: 65L05, 65L20
Indexed keywords

INTERPOLATION FORMULAS; LOCAL ERROR CONTROL; LOCAL TRUNCATION ERROR; RESIDUAL ERROR; RUNGE-KUTTA METHODS;
EID: 0022563559     PISSN: 00063835     EISSN: 15729125     Source Type: Journal    
DOI: 10.1007/BF01939366     Document Type: Article
Times cited : (36)
References (12)
  • 1
    • 84936257921 scopus 로고    scopus 로고
    • K. Burrage, J. C. Butcher and F. H. Chipman, An implementation of singly diagonally implicit Runge-Kutta methods, BIT, 20, (1980).
  • 2
    • 84936223648 scopus 로고    scopus 로고
    • E. Hairer, S. P. Nørsett and G. Wanner: To appear.
  • 3
    • 84936249980 scopus 로고    scopus 로고
    • M. K. Horn, Fourth- and fifth-order, scaled Runge-Kutta algorithms for treating dense output, SIAM J. Numer. Anal. 20, (1983).
  • 4
    • 84936276777 scopus 로고    scopus 로고
    • N. Houbak and P. G. Thomsen, SPARSKS-A FORTRAN subroutine for the solution of large systems of stiff ODE's with sparse Jacobians, NI-79-02, DTH, Lyngby, Denmark.
  • 5
    • 84936241828 scopus 로고    scopus 로고
    • B. Houbak, S. P. Nørsett and P. G. Thomsen, Displacement or residual test in the application of implicit methods for stiff problems, NI-83-04 DTH, Lyngby, Denmark. (To appear JIMA, Numer. Anal.).
  • 7
    • 84936266858 scopus 로고    scopus 로고
    • S. P. Nørsett and P. G. Thomsen, Imbedded SDIRK-methods of basic order three, Mathematics and Computation 8/82. NTH, Trondheim, Norway.
  • 8
    • 84936266640 scopus 로고    scopus 로고
    • S. P. Nørsett and P. G. Thomsen, SIMPLE — a stiff system solver (to appear), (1984).
  • 9
    • 84936274111 scopus 로고    scopus 로고
    • S. P. Nørsett, Semi-explicit Runge-Kutta methods, Report no. 6/1974, ISBN 82-7151-009-6, Dept. of Mathematics, University of Trondheim, Norway.
  • 10
    • 84936254945 scopus 로고    scopus 로고
    • S. P. Nørsett and G. Wanner, Perturbed collocation and Runge-Kutta methods, Numer. Math. 38, (1981).
  • 11
    • 84936239353 scopus 로고    scopus 로고
    • L. F. Shampine, Implementation of implicit formulas for the solution of ODE's, SIAM J. SCI. STAT. COMPUT., 1, (1980).
  • 12
    • 84936284883 scopus 로고    scopus 로고
    • L. F. Shampine, Evaluation of implicit formulas for the solution of ODE's, BIT, 19 (1979).

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.