메뉴 건너뛰기




Volumn 196, Issue 2, 2006, Pages 652-663

Fast collocation methods for Volterra integral equations of convolution type

Author keywords

Collocation methods; Convolution; Fast numerical methods; Volterra integral equations of Hammerstein type

Indexed keywords

COMPUTATION THEORY; CONVOLUTION; LAPLACE TRANSFORMS; NUMERICAL METHODS;

EID: 33746371031     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.10.018     Document Type: Article
Times cited : (38)

References (12)
  • 2
    • 0001178161 scopus 로고
    • The numerical solution of nonlinear Volterra integral equations of the second kind by collocation and iterated collocation methods
    • Blom J.G., and Brunner H. The numerical solution of nonlinear Volterra integral equations of the second kind by collocation and iterated collocation methods. SIAM J. Sci. Statist. Comput. 8 5 (1987) 806-830
    • (1987) SIAM J. Sci. Statist. Comput. , vol.8 , Issue.5 , pp. 806-830
    • Blom, J.G.1    Brunner, H.2
  • 3
    • 0026168001 scopus 로고
    • Algorithm 689, discretized collocation and iterated collocation for nonlinear Volterra integral equations of the second kind
    • Blom J.G., and Brunner H. Algorithm 689, discretized collocation and iterated collocation for nonlinear Volterra integral equations of the second kind. ACM Trans. Math. Software 17 2 (1991) 167-177
    • (1991) ACM Trans. Math. Software , vol.17 , Issue.2 , pp. 167-177
    • Blom, J.G.1    Brunner, H.2
  • 5
    • 33746335134 scopus 로고    scopus 로고
    • H. Brunner, P.J. van der Houwen, The Numerical Solution of Volterra Equations, vol. 3, CWI Monographs, North-Holland, Amsterdam, 1986.
  • 7
    • 0001287486 scopus 로고
    • Fast numerical solution of nonlinear Volterra convolution equations
    • Hairer E., Lubich Ch., and Schlichte M. Fast numerical solution of nonlinear Volterra convolution equations. SIAM J. Sci. Statist. Comput. 6 (1985) 532-541
    • (1985) SIAM J. Sci. Statist. Comput. , vol.6 , pp. 532-541
    • Hairer, E.1    Lubich, Ch.2    Schlichte, M.3
  • 8
    • 0346902967 scopus 로고    scopus 로고
    • Non-reflecting boundary conditions for Maxwell's equations
    • Hiptmair R., and Schädle A. Non-reflecting boundary conditions for Maxwell's equations. Computing 71 3 (2003) 265-292
    • (2003) Computing , vol.71 , Issue.3 , pp. 265-292
    • Hiptmair, R.1    Schädle, A.2
  • 9
    • 34250094006 scopus 로고
    • Convolution quadrature and discretized operational calculus II
    • Lubich Ch. Convolution quadrature and discretized operational calculus II. Numer. Math. 52 (1988) 413-425
    • (1988) Numer. Math. , vol.52 , pp. 413-425
    • Lubich, Ch.1
  • 10
    • 0037252875 scopus 로고    scopus 로고
    • Fast convolution for non-reflecting boundary conditions
    • Lubich C., and Schädle A. Fast convolution for non-reflecting boundary conditions. SIAM J. Sci. Comput. 24 (2002) 161-182
    • (2002) SIAM J. Sci. Comput. , vol.24 , pp. 161-182
    • Lubich, C.1    Schädle, A.2
  • 11
    • 0000799469 scopus 로고
    • A modification of Talbot's method for the simultaneous approximation of several values of the inverse Laplace Transform
    • Rizzardi M. A modification of Talbot's method for the simultaneous approximation of several values of the inverse Laplace Transform. ACM Trans. Math. Software 21 4 (1995) 347-371
    • (1995) ACM Trans. Math. Software , vol.21 , Issue.4 , pp. 347-371
    • Rizzardi, M.1
  • 12
    • 0002152334 scopus 로고
    • The accurate numerical inversion of Laplace Transforms
    • Talbot A. The accurate numerical inversion of Laplace Transforms. J. Inst. Math. Appl. 23 (1979) 97-120
    • (1979) J. Inst. Math. Appl. , vol.23 , pp. 97-120
    • Talbot, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.