메뉴 건너뛰기




Volumn 42, Issue 1, 2004, Pages 265-282

Parallel two-step w-methods with peer variables

Author keywords

Parallel peer W methods; Parallel two step methods; Stiff initial value problems

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; INTEGRATION; LINEAR EQUATIONS; LINEAR SYSTEMS; NUMERICAL METHODS;

EID: 20144363582     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142902411057     Document Type: Article
Times cited : (68)

References (20)
  • 1
    • 0031479850 scopus 로고    scopus 로고
    • A parallel stiff ODE solver based on MIRKs
    • C. BENDTSEN, A parallel stiff ODE solver based on MIRKs, Adv. Comput. Math., 7 (1997), pp. 27-36.
    • (1997) Adv. Comput. Math. , vol.7 , pp. 27-36
    • Bendtsen, C.1
  • 3
    • 23044519324 scopus 로고    scopus 로고
    • Parallel iterated methods based on variable step-size multistep Runge-Kutta methods of Radau type for stiff problems
    • K. BURRAGE AND H. SUHARTANTO, Parallel iterated methods based on variable step-size multistep Runge-Kutta methods of Radau type for stiff problems, Adv. Comput. Math., 13 (2000), pp. 257-270.
    • (2000) Adv. Comput. Math. , vol.13 , pp. 257-270
    • Burrage, K.1    Suhartanto, H.2
  • 4
    • 0034159395 scopus 로고    scopus 로고
    • Parallel half-block methods for initial value problems
    • K. BURRAGE AND T. TIAN, Parallel half-block methods for initial value problems, Appl. Numer. Math., 32 (2000), pp. 255-271.
    • (2000) Appl. Numer. Math. , vol.32 , pp. 255-271
    • Burrage, K.1    Tian, T.2
  • 5
    • 38249003919 scopus 로고
    • Diagonally-implicit multi-stage integration methods
    • J. C. BUTCHER, Diagonally-implicit multi-stage integration methods, Appl. Numer. Math., 11 (1993), pp. 347-363.
    • (1993) Appl. Numer. Math. , vol.11 , pp. 347-363
    • Butcher, J.C.1
  • 6
    • 0000452884 scopus 로고    scopus 로고
    • Implementation of diagonally implicit multistage integration methods for ordinary differential equations
    • J. C. BUTCHER AND Z. JACKIEWICZ, Implementation of diagonally implicit multistage integration methods for ordinary differential equations, SIAM J. Numer. Anal., 34 (1997), pp. 2119-2141.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 2119-2141
    • Butcher, J.C.1    Jackiewicz, Z.2
  • 7
    • 0034207549 scopus 로고    scopus 로고
    • The choice of parameters in parallel general linear methods for stiff problems
    • J. C. BUTCHER AND A. D. SINGH, The choice of parameters in parallel general linear methods for stiff problems, Appl. Numer. Math., 34 (2000), pp. 59-84.
    • (2000) Appl. Numer. Math. , vol.34 , pp. 59-84
    • Butcher, J.C.1    Singh, A.D.2
  • 8
    • 0027189438 scopus 로고
    • Parallelism across time in ODEs
    • C. W. GEAR AND X. XUHAI, Parallelism across time in ODEs, Appl. Numer. Math., 11 (1993), pp. 45-68.
    • (1993) Appl. Numer. Math. , vol.11 , pp. 45-68
    • Gear, C.W.1    Xuhai, X.2
  • 11
    • 0030283734 scopus 로고    scopus 로고
    • CWI contributions to the development of parallel Runge-Kutta methods
    • P. J. VAN DER HOUWEN AND B. P. SOMMEIJER, CWI contributions to the development of parallel Runge-Kutta methods, Appl. Numer. Math., 22 (1996), pp. 327-344.
    • (1996) Appl. Numer. Math. , vol.22 , pp. 327-344
    • Van Der Houwen, P.J.1    Sommeijer, B.P.2
  • 12
    • 0031503691 scopus 로고    scopus 로고
    • Parallel linear system solvers for Runge-Kutta methods
    • P. J. VAN DER HOUWEN AND J. J. B. DE SWART, Parallel linear system solvers for Runge-Kutta methods, Adv. Comput. Math., 7 (1997), pp. 157-181.
    • (1997) Adv. Comput. Math. , vol.7 , pp. 157-181
    • Van Der Houwen, P.J.1    De Swart, J.J.B.2
  • 13
    • 34250273116 scopus 로고
    • Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations
    • P. KAPS AND P. RENTROP, Generalized Runge-Kutta methods of order four with stepsize control for stiff ordinary differential equations, Numer. Math., 33 (1979), pp. 55-68.
    • (1979) Numer. Math. , vol.33 , pp. 55-68
    • Kaps, P.1    Rentrop, P.2
  • 14
    • 0040754993 scopus 로고
    • Difference methods for stiff ordinary differential equations
    • H.-O. KREISS, Difference methods for stiff ordinary differential equations, SIAM J. Numer. Anal., 15 (1978), pp. 21-58.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 21-58
    • Kreiss, H.-O.1
  • 15
    • 2442493433 scopus 로고    scopus 로고
    • Two-step W-methods with parallel stages
    • Universität Halle, Halle, Germany
    • H. PODHAISKY, B. A. SCHMITT, AND R. WEINER, Two-step W-methods with parallel stages, Tech. report 22, Universität Halle, Halle, Germany, 1999, http://www.mathematik.uni-halle.de/reports/sources/1999/99-22report.ps.
    • (1999) Tech. Report , vol.22
    • Podhaisky, H.1    Schmitt, B.A.2    Weiner, R.3
  • 16
    • 0036679945 scopus 로고    scopus 로고
    • Design, analysis and testing of some parallel two-step W-methods for stiff systems
    • H. PODHAISKY, B. A. SCHMITT, AND R. WEINER, Design, analysis and testing of some parallel two-step W-methods for stiff systems, Appl. Numer. Math., 42 (2002), pp. 381-395.
    • (2002) Appl. Numer. Math. , vol.42 , pp. 381-395
    • Podhaisky, H.1    Schmitt, B.A.2    Weiner, R.3
  • 17
    • 2442596454 scopus 로고    scopus 로고
    • Ph.D. thesis, Martin-Luther-Universität, Halle-Wittenberg, Germany
    • H. PODHAISKY, Parallele Zweischritt-W-Methoden, Ph.D. thesis, Martin-Luther-Universität, Halle-Wittenberg, Germany, 2002.
    • (2002) Parallele Zweischritt-W-Methoden
    • Podhaisky, H.1
  • 19
    • 14844324935 scopus 로고    scopus 로고
    • Two-step W-methods on singular perturbation problems
    • PPAM 2001, R. Wyrzykowski et al., eds., Spinger-Verlag, New York
    • R. WEINER, B. A. SCHMITT, AND H. PODHAISKY, Two-step W-methods on singular perturbation problems, in PPAM 2001, Lecture Notes in Comput. Sci. 2328, R. Wyrzykowski et al., eds., Spinger-Verlag, New York, 2002, pp. 778-785.
    • (2002) Lecture Notes in Comput. Sci. , vol.2328 , pp. 778-785
    • Weiner, R.1    Schmitt, B.A.2    Podhaisky, H.3
  • 20
    • 15744370330 scopus 로고    scopus 로고
    • Two-step W-methods and their application to MOL-systems
    • Universität Halle, Halle, Germany
    • R. WEINER, B. A. SCHMITT, AND H. PODHAISKY, Two-step W-methods and their application to MOL-systems, Tech. Report 02, Universität Halle, Halle, Germany, 2003, http://www.mathematik.uni-halle.de/reports/sources/2003/03- 02report.ps.
    • (2003) Tech. Report , vol.2
    • Weiner, R.1    Schmitt, B.A.2    Podhaisky, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.