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Volumn 53, Issue 2-4, 2005, Pages 457-470

Implicit parallel peer methods for stiff initial value problems

Author keywords

Parallel methods for stiff ODEs; Peer methods; Singularly perturbed problems

Indexed keywords

APPROXIMATION THEORY; INTEGRATION; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; NONLINEAR SYSTEMS; SET THEORY;

EID: 14844292631     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2004.08.019     Document Type: Conference Paper
Times cited : (43)

References (11)
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  • 3
    • 0003433657 scopus 로고    scopus 로고
    • Test set for initial value problem solvers
    • W.M. Lioen, J.J.B. de Swart, Test set for initial value problem solvers, CWI Report MAS-R9832, 1998
    • (1998) CWI Report , vol.MAS-R9832
    • Lioen, W.M.1    De Swart, J.J.B.2
  • 4
    • 34249963824 scopus 로고
    • On the convergence of multistep methods for nonlinear stiff differential equations
    • Ch. Lubich On the convergence of multistep methods for nonlinear stiff differential equations Numer. Math. 58 1991 839 853
    • (1991) Numer. Math. , vol.58 , pp. 839-853
    • Lubich, Ch.1
  • 5
    • 84968497765 scopus 로고
    • On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations
    • A. Prothero, and A. Robinson On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations Math. Comp. 28 1974 145 162
    • (1974) Math. Comp. , vol.28 , pp. 145-162
    • Prothero, A.1    Robinson, A.2
  • 6
    • 14844304613 scopus 로고
    • The numerical solution of implicit ordinary differential equations arising in vehicle dynamic
    • K. Strehmel, Numerical Treatment of Differential Equations, Teubner Leipzig
    • P. Rentrop, and G. Steinebach The numerical solution of implicit ordinary differential equations arising in vehicle dynamic K. Strehmel Numerical Treatment of Differential Equations Teubner-Texte zur Mathematik vol. 104 1988 Teubner Leipzig 306 313
    • (1988) Teubner-Texte Zur Mathematik , vol.104 , pp. 306-313
    • Rentrop, P.1    Steinebach, G.2
  • 7
    • 20144363582 scopus 로고    scopus 로고
    • Parallel two-step W-methods with peer variables
    • B.A. Schmitt, and R. Weiner Parallel two-step W-methods with peer variables SIAM J. Numer. Anal. 42 2004 265 282
    • (2004) SIAM J. Numer. Anal. , vol.42 , pp. 265-282
    • Schmitt, B.A.1    Weiner, R.2
  • 8
    • 0000996778 scopus 로고
    • Convergence results for general linear methods on singular perturbation problems
    • S. Schneider Convergence results for general linear methods on singular perturbation problems BIT 33 1993 670 686
    • (1993) BIT , vol.33 , pp. 670-686
    • Schneider, S.1
  • 9
    • 1042269651 scopus 로고    scopus 로고
    • Parallel peer two-step W-methods and their application to MOL-systems
    • R. Weiner, B.A. Schmitt, and H. Podhaisky Parallel peer two-step W-methods and their application to MOL-systems Appl. Numer. Math. 48 2004 425 439
    • (2004) Appl. Numer. Math. , vol.48 , pp. 425-439
    • Weiner, R.1    Schmitt, B.A.2    Podhaisky, H.3
  • 10
    • 14844295708 scopus 로고    scopus 로고
    • Multi-implicit peer two-step W-methods for parallel time integration
    • FB Mathematik u. Informatik, Universität Marburg, Germany
    • B.A. Schmitt, R. Weiner, H. Podhaisky, Multi-implicit peer two-step W-methods for parallel time integration, Tech. Report, 2004-4, FB Mathematik u. Informatik, Universität Marburg, Germany, 2004
    • (2004) Tech. Report , vol.2004 , Issue.4
    • Schmitt, B.A.1    Weiner, R.2    Podhaisky, H.3
  • 11
    • 14844324935 scopus 로고    scopus 로고
    • Parallel two-step W-methods on singular perturbation problems
    • R. Wyrzykowski, PPAM 2001, Springer Berlin*et al.
    • R. Weiner, B.A. Schmitt, and H. Podhaisky Parallel two-step W-methods on singular perturbation problems R. Wyrzykowski PPAM 2001 Lecture Notes in Computer Science vol. 2328 2002 Springer Berlin
    • (2002) Lecture Notes in Computer Science , vol.2328
    • Weiner, R.1    Schmitt, B.A.2    Podhaisky, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.