메뉴 건너뛰기




Volumn 107, Issue 4, 2007, Pages 589-614

Runge-Kutta convolution quadrature methods for well-posed equations with memory

Author keywords

[No Author keywords available]

Indexed keywords


EID: 34848892395     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-007-0107-9     Document Type: Article
Times cited : (37)

References (22)
  • 1
    • 34848874451 scopus 로고    scopus 로고
    • Qualitative behaviour of numerical travelling solutions for reaction-diffusion equations with memory
    • Araujo A., Ferreira J.A. and Oliveira P. (2005). Qualitative behaviour of numerical travelling solutions for reaction-diffusion equations with memory. Appl. Anal. 84: 1231-1246
    • (2005) Appl. Anal. , vol.84 , pp. 1231-1246
    • Araujo, A.1    Ferreira, J.A.2    Oliveira, P.3
  • 3
    • 0018057686 scopus 로고
    • Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques
    • Bolley C. and Crouzeix M. (1978). Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques. RAIRO Anal. Numér. 12: 237-245
    • (1978) RAIRO Anal. Numér. , vol.12 , pp. 237-245
    • Bolley, C.1    Crouzeix, M.2
  • 4
    • 0001651846 scopus 로고
    • On rational approximations of semigroups
    • Brenner P. and Thomée V. (1979). On rational approximations of semigroups. SIAM J. Numer. Anal. 16: 683-694
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 683-694
    • Brenner, P.1    Thomée, V.2
  • 5
    • 0001853829 scopus 로고
    • The stability of rational approximations of analytic semigroups
    • Crouzeix M., Larsson S., Piskarev S. and Thomée V. (1993). The stability of rational approximations of analytic semigroups. BIT 33: 74-84
    • (1993) BIT , vol.33 , pp. 74-84
    • Crouzeix, M.1    Larsson, S.2    Piskarev, S.3    Thomée, V.4
  • 6
    • 4544380424 scopus 로고    scopus 로고
    • A numerical method for an integro-differential equation with memory in Banach spaces: Qualitative properties
    • Cuesta E. and Palencia C. (2003). A numerical method for an integro-differential equation with memory in Banach spaces: Qualitative properties. SIAM J. Numer. Anal. 41: 1232-1241
    • (2003) SIAM J. Numer. Anal. , vol.41 , pp. 1232-1241
    • Cuesta, E.1    Palencia, C.2
  • 8
    • 0012276269 scopus 로고
    • High-accuracy stable difference schemes for well-posed initial-value problems
    • Hersch R. and Kato T. (1979). High-accuracy stable difference schemes for well-posed initial-value problems. SIAM J. Numer. Anal. 16: 670-682
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 670-682
    • Hersch, R.1    Kato, T.2
  • 9
    • 28444454894 scopus 로고    scopus 로고
    • Pattern formation in random walks with inertia
    • Kish, L.B., Lindenberg, K., Gingl, Z. (eds.) Noise in Complex Systems and Stochastic Dynamics III
    • Horsthemke, W.: Pattern formation in random walks with inertia. In: Kish, L.B., Lindenberg, K., Gingl, Z. (eds.) Noise in Complex Systems and Stochastic Dynamics III, Proceedings of SPIE, vol. 5845, pp. 12-26 (2005)
    • (2005) Proceedings of SPIE , vol.5845 , pp. 12-26
    • Horsthemke, W.1
  • 10
    • 34848921442 scopus 로고
    • Spectral measures, generalized resolvents, and functions of positive type
    • MacKelvey R. (1965). Spectral measures, generalized resolvents and functions of positive type. J. Math. Anal. Appl. 11: 447-477
    • (1965) J. Math. Anal. Appl. , vol.11 , pp. 447-477
    • MacKelvey, R.1
  • 11
    • 14644430450 scopus 로고    scopus 로고
    • On positivity, shape, and norm-bound preservation of time-stepping methods for semigroups
    • Kovács M. (2005). On positivity, shape and norm-bound preservation of time-stepping methods for semigroups. J. Math. Anal. Appl. 304: 115-136
    • (2005) J. Math. Anal. Appl. , vol.304 , pp. 115-136
    • Kovács, M.1
  • 12
    • 0003900418 scopus 로고
    • Finite-element methods for a strongly damped wave equation
    • Larsson S., Thomée V. and Wahlbin L. (1991). Finite-element methods for a strongly damped wave equation. IMA J. Numer. Anal. 11: 113-142
    • (1991) IMA J. Numer. Anal. , vol.11 , pp. 113-142
    • Larsson, S.1    Thomée, V.2    Wahlbin, L.3
  • 13
    • 34250092484 scopus 로고
    • Convolution quadrature and discretized operational calculus. I
    • Lubich C. (1988). Convolution quadrature and discretized operational calculus. I. Numer. Math. 52: 129-145
    • (1988) Numer. Math. , vol.52 , pp. 129-145
    • Lubich, C.1
  • 14
    • 34250094006 scopus 로고
    • Convolution quadrature and discretized operational calculus. II
    • Lubich C. (1988). Convolution quadrature and discretized operational calculus. II. Numer. Math. 52: 413-425
    • (1988) Numer. Math. , vol.52 , pp. 413-425
    • Lubich, C.1
  • 15
    • 8144220216 scopus 로고    scopus 로고
    • Convolution quadrature revisited
    • Lubich C. (2004). Convolution quadrature revisited. BIT 44: 503-514
    • (2004) BIT , vol.44 , pp. 503-514
    • Lubich, C.1
  • 16
    • 84968504982 scopus 로고
    • Runge-Kutta methods for parabolic equations and convolution quadrature
    • Lubich Ch. and Ostermann A. (1993). Runge-Kutta methods for parabolic equations and convolution quadrature. Math. Comput. 60: 105-131
    • (1993) Math. Comput. , vol.60 , pp. 105-131
    • Lubich, Ch.1    Ostermann, A.2
  • 17
    • 0027681566 scopus 로고
    • A stability result for sectorial operators in Banach spaces
    • Palencia C. (1993). A stability result for sectorial operators in Banach spaces. SIAM J. Numer. Anal. 12: 1373-1384
    • (1993) SIAM J. Numer. Anal. , vol.12 , pp. 1373-1384
    • Palencia, C.1
  • 18
    • 84968487151 scopus 로고
    • Stability of rational multistep approximations of holomorphic semigroups
    • Palencia C. (1995). Stability of rational multistep approximations of holomorphic semigroups. Math. Comput. 64: 591-599
    • (1995) Math. Comput. , vol.64 , pp. 591-599
    • Palencia, C.1
  • 20
    • 0021537374 scopus 로고
    • On the relation between stability and contractivity
    • Spijker M.N. (1984). On the relation between stability and contractivity. BIT 24: 656-666
    • (1984) BIT , vol.24 , pp. 656-666
    • Spijker, M.N.1
  • 22
    • 33644697096 scopus 로고    scopus 로고
    • Discrete transparent boundary conditions for parabolic systems
    • Zisowsky A. and Ehrhardt M. (2006). Discrete transparent boundary conditions for parabolic systems. Math. Comput. Model. 43: 294-309
    • (2006) Math. Comput. Model. , vol.43 , pp. 294-309
    • Zisowsky, A.1    Ehrhardt, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.