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Volumn 60, Issue 12, 2004, Pages 2031-2043

Truncation error and stability analysis of iterative and non-iterative Thomas-Gladwell methods for first-order non-linear differential equations

Author keywords

Non iterative linearization; Non linear differential equations; Richards equation; Thomas Gladwell methods

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; ERROR CORRECTION; STABILITY;

EID: 3242880411     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1035     Document Type: Article
Times cited : (16)

References (14)
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    • Tocci MD, Kelly CT, Miller CT. Accurate and economical solution of the pressure-head form of Richards' equation by the method of lines. Advances in Water Resources 1997; 20:1-14.
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  • 8
    • 0035366337 scopus 로고    scopus 로고
    • Adaptive time stepping and error control in a mass conservative numerical solution of the mixed form of Richards equation
    • Kavetski D, Binning P, Sloan SW. Adaptive time stepping and error control in a mass conservative numerical solution of the mixed form of Richards equation. Advances in Water Resources 2001; 24:595-605.
    • (2001) Advances in Water Resources , vol.24 , pp. 595-605
    • Kavetski, D.1    Binning, P.2    Sloan, S.W.3
  • 9
    • 0037186324 scopus 로고    scopus 로고
    • Adaptive backward Euler time stepping with truncation error control for numerical modelling of unsaturated fluid flow
    • Kavetski D, Binning P, Sloan SW. Adaptive backward Euler time stepping with truncation error control for numerical modelling of unsaturated fluid flow. International Journal for Numerical Methods in Engineering 2002; 53:1301-1322.
    • (2002) International Journal for Numerical Methods in Engineering , vol.53 , pp. 1301-1322
    • Kavetski, D.1    Binning, P.2    Sloan, S.W.3
  • 10
    • 0026282291 scopus 로고
    • Numerical evaluation of iterative and non-iterative methods for the solution of the non-linear Richard's equation
    • Paniconi C, Aldama AA, Wood EF. Numerical evaluation of iterative and non-iterative methods for the solution of the non-linear Richard's equation. Water Resources Research 1991; 27:1147-1163.
    • (1991) Water Resources Research , vol.27 , pp. 1147-1163
    • Paniconi, C.1    Aldama, A.A.2    Wood, E.F.3
  • 11
    • 0036822365 scopus 로고    scopus 로고
    • Noniterative time stepping schemes with adaptive truncation error control for the solution of Richards equation
    • Kavetski D, Binning P, Sloan SW. Noniterative time stepping schemes with adaptive truncation error control for the solution of Richards equation. Water Resources Research 2002; 38:29.1-29.10.
    • (2002) Water Resources Research , vol.38
    • Kavetski, D.1    Binning, P.2    Sloan, S.W.3
  • 13
    • 0025585761 scopus 로고
    • A general mass-conservative numerical solution for the unsaturated flow equation
    • Celia MA, Bouloutas ET, Zarba RL. A general mass-conservative numerical solution for the unsaturated flow equation. Water Resources Research 1990; 26:1483-1496.
    • (1990) Water Resources Research , vol.26 , pp. 1483-1496
    • Celia, M.A.1    Bouloutas, E.T.2    Zarba, R.L.3
  • 14
    • 0028578603 scopus 로고
    • Mass conservative numerical solutions of the head-based Richards equation
    • Rathfelder K, Abriola LM. Mass conservative numerical solutions of the head-based Richards equation. Water Resources Research 1994; 30:2579-2586.
    • (1994) Water Resources Research , vol.30 , pp. 2579-2586
    • Rathfelder, K.1    Abriola, L.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.