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Volumn 1, Issue 1, 2006, Pages 27-47

On high order mirk schemes and hermite-birkhoff interpolants

Author keywords

Boundary value problem; Hermite birkhoff interpolation; Lobatto points; MIRK; ODE; Runge kutta

Indexed keywords


EID: 35348846610     PISSN: 17908140     EISSN: 17908159     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (25)

References (14)
  • 3
    • 18144412843 scopus 로고    scopus 로고
    • On the Derivation of High Order Symmetric MIRK Formulae with Interpolants for Solving Two-Point Boundary Value Problems New Zealand
    • J.R. Cash On the Derivation of High Order Symmetric MIRK Formulae with Interpolants for Solving Two-Point Boundary Value Problems New Zealand Journal of Mathematics 29, (2000) 129-150.
    • (2000) Journal of Mathematics , vol.29 , pp. 129-150
    • Cash, J.R.1
  • 4
    • 0037097867 scopus 로고    scopus 로고
    • Mono-implicit Runge-Kutta formulae for the numerical solution of second order nonlinear two-point boundary value problems
    • J.R. Cash, M.P. Garcia, D.R. Moore Mono-implicit Runge-Kutta formulae for the numerical solution of second order nonlinear two-point boundary value problems Journal of Computational and Applied Mathematics 143, (2002) 275-289
    • (2002) Journal of Computational and Applied Mathematics , vol.143 , pp. 275-289
    • Cash, J.R.1    Garcia, M.P.2    Moore, D.R.3
  • 5
    • 0018920925 scopus 로고
    • A high order method for the numerical solution of two-point boundary value problems
    • J. R. Cash & D. R. Moore A high order method for the numerical solution of two-point boundary value problems BIT 20, (1980) 44-53.
    • (1980) BIT , vol.20 , pp. 44-53
    • Cash, J.R.1    Moore, D.R.2
  • 6
    • 18144427118 scopus 로고    scopus 로고
    • High-Order Interpolants for Solutions of Two-Point Boundary Value Problems using MIRK methods
    • J.R. Cash & D.R. Moore High-Order Interpolants for Solutions of Two-Point Boundary Value Problems using MIRK methods Computers and Mathematics with Applications 48, (2004) 1749-1763
    • (2004) Computers and Mathematics with Applications , vol.48 , pp. 1749-1763
    • Cash, J.R.1    Moore, D.R.2
  • 7
    • 0020304319 scopus 로고
    • High order methods for the numerical solution of two{point boundary value problems
    • J. R. Cash & A. Singhal High order methods for the numerical solution of two{point boundary value problems BIT 22, (1982) 184-199.
    • (1982) BIT , vol.22 , pp. 184-199
    • Cash, J.R.1    Singhal, A.2
  • 8
    • 0032182567 scopus 로고    scopus 로고
    • Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems
    • J.R. Cash & R.W. Wright Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems Applied Numerical Mathematics 28, (1998) 227-244.
    • (1998) Applied Numerical Mathematics , vol.28 , pp. 227-244
    • Cash, J.R.1    Wright, R.W.2
  • 11
    • 0039927060 scopus 로고    scopus 로고
    • Superconvergent Interpolants for Collocation Methods Applied to Mixed-Order BVODEs ACM
    • W.H. Enright & R. Sivasothinathan Superconvergent Interpolants for Collocation Methods Applied to Mixed-Order BVODEs ACM Trans. on Math. Software 26, (2000) 323-351.
    • (2000) Trans. On Math. Software , vol.26 , pp. 323-351
    • Enright, W.H.1    Sivasothinathan, R.2
  • 12
    • 84959707122 scopus 로고
    • Accurate solution of the Orr-Sommerfeld stability equation
    • S. A. Orszag Accurate solution of the Orr-Sommerfeld stability equation Journal of Fluid Mechanics 50-4, (1971) 689-703
    • (1971) Journal of Fluid Mechanics , vol.50 , Issue.4 , pp. 689-703
    • Orszag, S.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.