메뉴 건너뛰기




Volumn 17, Issue 4, 1997, Pages 563-576

On the stability and convergence of discretizations of initial value p.d.e.s

Author keywords

[No Author keywords available]

Indexed keywords

CAUCHY INTEGRAL; DISCRETIZATIONS; EXPLICIT ONE-STEP METHOD; FINITE TIME INTERVALS; SPATIAL DISCRETIZATIONS; STABILITY AND CONVERGENCE; STRONG STABILITY; TIME INTEGRATION;

EID: 0031526503     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/17.4.563     Document Type: Article
Times cited : (6)

References (13)
  • 1
    • 0001651846 scopus 로고
    • On rational approximations of semigroups
    • BRENNER, P., & THOMÉE, V. 1979 On rational approximations of semigroups. SIAM J. Numer. Anal. 16, 683-94.
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 683-694
    • Brenner, P.1    Thomée, V.2
  • 3
    • 0039864939 scopus 로고    scopus 로고
    • GILES, M. B. 1995 Stability analysis of Galerkin/Runge-Kutta Navier-Stokes discretisations on unstructured grids. AIAA Paper 95-1753. Also, to appear in J. Comput. Phys. (1997).
    • (1997) J. Comput. Phys.
  • 5
    • 84968486120 scopus 로고
    • Stability theory of difference approximations for mixed initial boundary value problems. II
    • GUSTAFSSON, B., KREISS, H.-O., & SUNDSTRÖM, A. 1972 Stability theory of difference approximations for mixed initial boundary value problems. II. Math. Comput. 26, 649-86.
    • (1972) Math. Comput. , vol.26 , pp. 649-686
    • Gustafsson, B.1    Kreiss, H.-O.2    Sundström, A.3
  • 6
    • 0023453539 scopus 로고
    • Stepsize restrictions for stability in the numerical solution of ordinary and partial differential equations
    • KRAAIJEVANGER, J. F. B. M., LENFERINK, H. W. J., & SPIJKER, M. N. 1987 Stepsize restrictions for stability in the numerical solution of ordinary and partial differential equations. J. Comput. Appl. Math. 20, 67-81.
    • (1987) J. Comput. Appl. Math. , vol.20 , pp. 67-81
    • Kraaijevanger, J.F.B.M.1    Lenferink, H.W.J.2    Spijker, M.N.3
  • 7
    • 84966237981 scopus 로고
    • On the use of stability regions in the numerical analysis of initial value problems
    • LENFERINK, H. W. J., & SPIJKER, M. N. 1991 On the use of stability regions in the numerical analysis of initial value problems. Math. Comput. 57, 221-37.
    • (1991) Math. Comput. , vol.57 , pp. 221-237
    • Lenferink, H.W.J.1    Spijker, M.N.2
  • 8
    • 0001410805 scopus 로고
    • On resolvent conditions and stability estimates
    • LUBICH, C., & NEVANLINNA, O. 1991 On resolvent conditions and stability estimates. BIT 31, 293-313.
    • (1991) BIT , vol.31 , pp. 293-313
    • Lubich, C.1    Nevanlinna, O.2
  • 9
    • 0000008495 scopus 로고
    • Stability of the method of lines
    • REDDY, S. C., & TREFETHEN, L. N. 1992 Stability of the method of lines. Numer. Math. 62, 235-67.
    • (1992) Numer. Math. , vol.62 , pp. 235-267
    • Reddy, S.C.1    Trefethen, L.N.2
  • 11
    • 0004267646 scopus 로고
    • Princeton: Princeton University Press
    • ROCKAFELLAR, R. T. 1970 Convex Analysis. Princeton: Princeton University Press.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 12
    • 0347833395 scopus 로고    scopus 로고
    • Error growth analysis, via stability regions, for discretizations of initial value problems
    • University of Leiden
    • SPIJKER, M., & STRAETEMANS, F. 1997 Error growth analysis, via stability regions, for discretizations of initial value problems. Department of Mathematics and Computer Science Report, University of Leiden.
    • (1997) Department of Mathematics and Computer Science Report
    • Spijker, M.1    Straetemans, F.2
  • 13
    • 0001369748 scopus 로고
    • Numerical ranges and stability estimates
    • SPIJKER, M. N. 1993 Numerical ranges and stability estimates. Appl. Numer. Math. 13, 241-9.
    • (1993) Appl. Numer. Math. , vol.13 , pp. 241-249
    • Spijker, M.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.