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Volumn 116, Issue 1, 2000, Pages 41-62

Blended block BVMS (B 3 VMs): A family of economical implicit methods for ODES

Author keywords

65F10; 65H10; 65L05; 65L06; 65L20; Boundary value method; Iterative solution of linear systems; Numerical methods for ODEs

Indexed keywords

BOUNDARY CONDITIONS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

EID: 0033882099     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00280-0     Document Type: Article
Times cited : (27)

References (14)
  • 1
    • 0032182568 scopus 로고    scopus 로고
    • ParalleloGAM: A parallel code for ODEs
    • Amodio P., Brugnano L. ParalleloGAM: a parallel code for ODEs. Appl. Numer. Math. 28:1998;127-141.
    • (1998) Appl. Numer. Math. , vol.28 , pp. 127-141
    • Amodio, P.1    Brugnano, L.2
  • 2
    • 85037761884 scopus 로고    scopus 로고
    • P. Amodio, L. Brugnano, in progress
    • P. Amodio, L. Brugnano, in progress.
  • 3
    • 0039076592 scopus 로고    scopus 로고
    • Block boundary value methods for linear Hamiltonian systems
    • Brugnano L., Trigiante D. Block boundary value methods for linear Hamiltonian systems. Appl. Math. Comput. 81:1997;49-68.
    • (1997) Appl. Math. Comput. , vol.81 , pp. 49-68
    • Brugnano, L.1    Trigiante, D.2
  • 4
    • 0031274968 scopus 로고    scopus 로고
    • On the potentiality of sequential and parallel codes based on extended trapezoidal rules (ETRs)
    • Brugnano L., Trigiante D. On the potentiality of sequential and parallel codes based on extended trapezoidal rules (ETRs). Appl. Numer. Math. 25:1997;169-184.
    • (1997) Appl. Numer. Math. , vol.25 , pp. 169-184
    • Brugnano, L.1    Trigiante, D.2
  • 6
    • 0032184118 scopus 로고    scopus 로고
    • Parallel implementation of block boundary value methods on nonlinear problems: Theoric results
    • Brugnano L., Trigiante D. Parallel implementation of block boundary value methods on nonlinear problems: theoric results. Appl. Numer. Math. 28:1998;127-141.
    • (1998) Appl. Numer. Math. , vol.28 , pp. 127-141
    • Brugnano, L.1    Trigiante, D.2
  • 8
    • 0030621829 scopus 로고    scopus 로고
    • Triangularly implicit iteration methods for ODE-IVP solvers
    • van der Houwen P.J., de Swart J.J.B. Triangularly implicit iteration methods for ODE-IVP solvers. SIAM J. Sci. Comput. 18:1997;41-55.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 41-55
    • Van Der Houwen, P.J.1    De Swart, J.J.B.2
  • 9
    • 0031503691 scopus 로고    scopus 로고
    • Parallel linear system solvers for Runge-Kutta methods
    • van der Houwen P.J., de Swart J.J.B. Parallel linear system solvers for Runge-Kutta methods. Adv. Comput. Math. 7(1-2):1997;157-181.
    • (1997) Adv. Comput. Math. , vol.7 , Issue.12 , pp. 157-181
    • Van Der Houwen, P.J.1    De Swart, J.J.B.2
  • 10
    • 84878664310 scopus 로고    scopus 로고
    • Block-boundary value methods for the solution of ordinary differential equations
    • to appear.
    • F. Iavernaro, F. Mazzia, Block-boundary value methods for the solution of ordinary differential equations, SIAM J. Sci. Comput., to appear.
    • SIAM J. Sci. Comput.
    • Iavernaro, F.1    Mazzia, F.2
  • 11
    • 0032184119 scopus 로고    scopus 로고
    • Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques
    • See also the URL
    • F. Iavernaro, F. Mazzia, Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques, Appl. Numer. Math. 28 (1998) 107-126. See also the URL http: // www.dm.uniba.it / mazzia / ode / readme.html.
    • (1998) Appl. Numer. Math. , vol.28 , pp. 107-126
    • Iavernaro, F.1    Mazzia, F.2
  • 12
    • 84976840194 scopus 로고
    • Blended linear multistep methods
    • Skeel R.D., Kong A.K. Blended linear multistep methods. ACM TOMS. 3:1977;326-345.
    • (1977) ACM TOMS , vol.3 , pp. 326-345
    • Skeel, R.D.1    Kong, A.K.2
  • 13
    • 0001643419 scopus 로고
    • A -stable block one-step methods
    • Watts H.A., Shampine L.F. A -stable block one-step methods BIT. 12:1972;252-266.
    • (1972) BIT , vol.12 , pp. 252-266
    • Watts, H.A.1    Shampine, L.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.