Interpolation predictors over implicitly defined curves

Computers and Mathematics with Applications

Volumn 44, Issue 8-9, 2002, Pages 1067-1076

  Syam, M I ^a  

^a UNITED ARAB EMIRATES UNIVERSITY   (United Arab Emirates)

Author keywords

Gaussian quadrature; Higher order predictor; Implicitly defined curve; Interpolating polynomial; Line integral

Indexed keywords

APPROXIMATION THEORY; GRAPH THEORY; INTEGRAL EQUATIONS; NUMERICAL METHODS; POLYNOMIALS; PROBLEM SOLVING;

HIGHER-ORDER PREDICTORS; IMPLICITLY DEFINED CURVES;

INTERPOLATION;

EID: 0036772304     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(02)00215-8     Document Type: Article

References (4)

1. H.I. Siyyam and M.I. Syam, The modified trapezoidal rule for line integrals, Journal of Comp. & Appl. Math., 84, 1-14, (1997).
2. E.L. Allgower and K. Georg, Numerical path following, In Handbook of Numerical Analysis, Volume 5, (Edited by P.G. Ciarlet and J.L. Lions). pp. 3-207, Springer, North-Holland. (1997).
3. E.L. Allgower and K. Georg, Continuation and Path Following, Acta Numerica, Cambridge Univ. Press, Cambridge, (1993).
4. B.N. Lundberg and A.B. Poore, Variable order Adams-Bashforth predictors with an error-stepsize control for continuation methods, SIAM J. Sci. Stat. Comput. 12, 695-723, (1991).