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Volumn 4, Issue 1-2, 2009, Pages 65-76

Variable step/order generalized upwind methods for the numerical solution of second order singular perturbation problems

Author keywords

Finite difference schemes; Mesh variation; Singular perturbation problems; Two point boundary value problems; Upwind method

Indexed keywords


EID: 67650652507     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (18)

References (19)
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    • Amodio, P.1    Sgura, I.2
  • 2
    • 34250861284 scopus 로고    scopus 로고
    • High order generalized upwind schemes and numerical solution of singular perturbation problems
    • P. Amodio and I. Sgura, High order generalized upwind schemes and numerical solution of singular perturbation problems, BIT 47 (2007), 241-257.
    • (2007) BIT , vol.47 , pp. 241-257
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  • 4
    • 84976807416 scopus 로고
    • Algorithm 569: COLSYS: Collocation Software for Boundary-Value ODEs
    • U. Ascher, J. Christiansen and R.D. Russell, Algorithm 569: COLSYS: Collocation Software for Boundary-Value ODEs, ACM Trans. Math. Software 7 (1981), 223-229.
    • (1981) ACM Trans. Math. Software , vol.7 , pp. 223-229
    • Ascher, U.1    Christiansen, J.2    Russell, R.D.3
  • 5
    • 0003154080 scopus 로고
    • A new basis implementation for a mixed order boundary value ODE solver
    • G. Bader and U. Ascher, A new basis implementation for a mixed order boundary value ODE solver, SIAM J. Sci. Statist. Comput. 8 (1987), 483-500.
    • (1987) SIAM J. Sci. Statist. Comput , vol.8 , pp. 483-500
    • Bader, G.1    Ascher, U.2
  • 8
    • 23844439291 scopus 로고    scopus 로고
    • A new mesh selection algorithm, based on conditioning, for two-point boundary value codes
    • J.R. Cash and F. Mazzia, A new mesh selection algorithm, based on conditioning, for two-point boundary value codes, J. Comput. Appl. Math. 184 (2005), 362-381.
    • (2005) J. Comput. Appl. Math , vol.184 , pp. 362-381
    • Cash, J.R.1    Mazzia, F.2
  • 9
    • 28144454990 scopus 로고
    • An automatic continuation strategy for the solution of singularly perturbed linear two-point boundary value problems
    • J.R. Cash, G. Moore and R.W. Wright, An automatic continuation strategy for the solution of singularly perturbed linear two-point boundary value problems, J. Comput. Phys. 122 (1995), 266-279.
    • (1995) J. Comput. Phys , vol.122 , pp. 266-279
    • Cash, J.R.1    Moore, G.2    Wright, R.W.3
  • 10
    • 0000529753 scopus 로고
    • A deferred correction method for nonlinear two-point boundary value problems: Implementation and numerical evaluation
    • J.R. Cash and M.H. Wright, A deferred correction method for nonlinear two-point boundary value problems: implementation and numerical evaluation, SIAM J. Sci. Statist. Comput. 12 (1991), 971-989.
    • (1991) SIAM J. Sci. Statist. Comput , vol.12 , pp. 971-989
    • Cash, J.R.1    Wright, M.H.2
  • 13
    • 2142782818 scopus 로고    scopus 로고
    • Runge-Kutta software with defect control for boundary value ODEs
    • W.H. Enright and P.H. Muir, Runge-Kutta software with defect control for boundary value ODEs, SIAM J. Sci. Comput. 17 (1996), 479-497.
    • (1996) SIAM J. Sci. Comput , vol.17 , pp. 479-497
    • Enright, W.H.1    Muir, P.H.2
  • 14
    • 84966237759 scopus 로고
    • Uniform high-order difference schemes for a singularly perturbed two-point boundary value problem
    • E.C. Gartland, Uniform high-order difference schemes for a singularly perturbed two-point boundary value problem, Math. Comp. 48 (1987), 551-564.
    • (1987) Math. Comp , vol.48 , pp. 551-564
    • Gartland, E.C.1
  • 15
    • 84966246071 scopus 로고
    • A high-order difference method for differential equations
    • R. Lynch and J.R. Rice, A high-order difference method for differential equations, Math. Comp. 34 (1980), 333-372.
    • (1980) Math. Comp , vol.34 , pp. 333-372
    • Lynch, R.1    Rice, J.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.