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Volumn 1, Issue , 2000, Pages 86-88

A parallel algorithm for nonlinear volterra integro-differential equations

Author keywords

Volterra integro differential equation parallel algorithm

Indexed keywords

DIRECT METHODS OF SOLUTION; INTEGRAL TERMS; MULTICOMPUTERS; PARALLEL COMPUTER; VOLTERRA; VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS;

EID: 0042660023     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/335603.335704     Document Type: Conference Paper
Times cited : (5)

References (21)
  • 2
    • 0042619722 scopus 로고
    • On the use of parallel processors for implicit Runge-Kutta methods
    • Cooper, G.J. & Vignesvaran, R.(1993)On the use of parallel processors for implicit Runge-Kutta methods,Computing 51, 135-150.
    • (1993) Computing , vol.51 , pp. 135-150
    • Cooper, G.J.1    Vignesvaran, R.2
  • 3
    • 8444245461 scopus 로고
    • Parallel frontal methods for ODEs
    • Crisci, M.K.(1994)Parallel frontal methods for ODEs,BIT 34,215-227.
    • (1994) BIT , vol.34 , pp. 215-227
    • Crisci, M.K.1
  • 6
    • 0019714685 scopus 로고
    • On the numerical solution of an integro-differential equation arising from wave-power hydraulics
    • Elliott, C.M. & McKee, S.(1981)On the numerical solution of an integro-differential equation arising from wave-power hydraulics,BIT 21, 318-325.
    • (1981) BIT , vol.21 , pp. 318-325
    • Elliott, C.M.1    McKee, S.2
  • 7
    • 8444230764 scopus 로고
    • Step-by-step methods for the numerical solution of Volterra integro-differential equations
    • Garey,L.E.,(1975)Step-by-step methods for the numerical solution of Volterra integro-differential equations, 5th Manitoba Conf. Numer. Math.,319-329.
    • (1975) 5th Manitoba Conf. Numer. Math. , pp. 319-329
    • Garey, L.E.1
  • 8
    • 0023996494 scopus 로고
    • Vectorization of the multiple shooting method for the nonlinear boundary value problem in ordinary differential equations
    • Goldmann, M.(1988)Vectorization of the multiple shooting method for the nonlinear boundary value problem in ordinary differential equations,Parallel Computing 7,97-110.
    • (1988) Parallel Computing , vol.7 , pp. 97-110
    • Goldmann, M.1
  • 9
    • 0026881698 scopus 로고
    • Parallel algorithms for initial value problems: Parallel shooting
    • DOI 10.1016/0167-8191(92)90006-S
    • Khalaf, B.M.S. & Hutchinson, D.(1992)Parallel algorithms for initial value problems: parallel shooting,Parallel Computing 18,661-673. (Pubitemid 23560913)
    • (1992) Parallel Computing , vol.18 , Issue.6 , pp. 661-673
    • Khalaf, B.M.S.1    Hutchinson, D.2
  • 10
    • 0011089330 scopus 로고
    • Linear multistep methods for Volterra integro-differential equations
    • Linz,P.(1969)Linear multistep methods for Volterra integro-differential equations, Journal of the Assoc. for Comp. Mach., vol.16,no.2,295-301.
    • (1969) Journal of the Assoc. for Comp. Mach. , vol.16 , Issue.2 , pp. 295-301
    • Linz, P.1
  • 11
    • 8444234586 scopus 로고
    • On a nonlinear Volterra integrodifferential equation
    • London,S.O.(1969)On a nonlinear Volterra integrodifferential equation, Comm. Phys. Math. 38,5-11.
    • (1969) Comm. Phys. Math. , vol.38 , pp. 5-11
    • London, S.O.1
  • 12
    • 0010700917 scopus 로고
    • On Volterra's population equation
    • Miller, R.K.(1966)On Volterra's population equation,SIAM J. Appl. Math. 14,446-452.
    • (1966) SIAM J. Appl. Math. , vol.14 , pp. 446-452
    • Miller, R.K.1
  • 14
    • 0004557816 scopus 로고    scopus 로고
    • Vectorizing multistep methods for Volterra integro-differential equations, Inter
    • Shaw,R.E.(1996)Vectorizing multistep methods for Volterra integro-differential equations, Inter. J. High Speed Computing, vol.8,no.2,137-144.
    • (1996) J. High Speed Computing , vol.8 , Issue.2 , pp. 137-144
    • Shaw, R.E.1
  • 15
    • 8444246236 scopus 로고
    • Vector processing an iterative method for nonlinear second order Volterra integro-differential equations with two point boundary conditions
    • Shaw, R.E. & Garey, L.E.(1993)Vector processing an iterative method for nonlinear second order Volterra integro-differential equations with two point boundary conditions,Congress Numerantium, vol.92, 129-135.
    • (1993) Congress Numerantium , vol.92 , pp. 129-135
    • Shaw, R.E.1    Garey, L.E.2
  • 16
    • 0005695648 scopus 로고
    • A-stable parallel block methods for ordinary and integro-differential equations
    • Sommeijer, B.P., Couzy, W. & van der Houwen, P.J. (1992)A-stable parallel block methods for ordinary and integro-differential equations, Appl. Numer. Math,vol.9,267-281.
    • (1992) Appl. Numer. Math , vol.9 , pp. 267-281
    • Sommeijer, B.P.1    Couzy, W.2    Van Der Houwen, P.J.3
  • 17
    • 0027640877 scopus 로고
    • Stability of parallel explicit ODE methods
    • Tam, H. & Skeel, R.D.(1993)Stability of parallel explicit ODE methods, SIAM J. Numer. Anal., vol.30,no.4,1179-1192. (Pubitemid 23696953)
    • (1993) SIAM Journal on Numerical Analysis , vol.30 , Issue.4 , pp. 1179-1192
    • Tam H.-Wah1    Skeel, R.D.2
  • 19
    • 8444224158 scopus 로고
    • Parallel predictor-corrector methods
    • Dept. of Numer. Math., Report NM-R9408
    • van der Houwen, P.J., Sommeijer, B.P. & de Swart, J.J.B. (1994)Parallel predictor-corrector methods, CWI Report,Dept. of Numer. Math., Report NM-R9408.
    • (1994) CWI Report
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2    De Swart, J.J.B.3
  • 20
    • 84893607900 scopus 로고
    • Parallel iteration across the steps of high order Runge-Kutta methods for nonstiff initial value problems
    • Dept.Numer.Math.,Rpt NM-R9313
    • van der Houwen, P.J., Sommeijer, B.P. & van der Veen, W.A.(1993)Parallel iteration across the steps of high order Runge-Kutta methods for nonstiff initial value problems,CWI Rpt, Dept.Numer.Math.,Rpt NM-R9313.
    • (1993) CWI Rpt
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2    Van Der Veen, W.A.3
  • 21
    • 8444236970 scopus 로고
    • Istituto per Applicazioni Della Matematica, Consiglio Nazionale Delle Ricerche,via P. Castellino, 111,80131 Napoli,Italy,Rapp. Tecnico n. 102
    • Vecchio,A.(1993)Highly stable parallel Volterra Runge-Kutta methods,Istituto per Applicazioni Della Matematica, Consiglio Nazionale Delle Ricerche,via P. Castellino, 111,80131 Napoli,Italy,Rapp. Tecnico n. 102.
    • (1993) Highly Stable Parallel Volterra Runge-Kutta Methods
    • Vecchio, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.