메뉴 건너뛰기




Volumn 44, Issue 3, 2004, Pages 473-488

On the method of neumann series for highly oscillatory equations

Author keywords

high oscillation; Magnus series; Neumann series; numerical quadrature

Indexed keywords


EID: 8144219702     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:BITN.0000046810.25353.95     Document Type: Article
Times cited : (35)

References (17)
  • 2
  • 4
    • 0013364797 scopus 로고    scopus 로고
    • High order optimized geometric integrators for linear differential equations
    • S. Blanes, F. Casas, and J. Ros, High order optimized geometric integrators for linear differential equations, BIT, 42 (2002), pp. 262-284.
    • (2002) BIT , vol.42 , pp. 262-284
    • Blanes, S.1    Casas, F.2    Ros, J.3
  • 5
    • 0035531728 scopus 로고    scopus 로고
    • Methods for the approximation of the matrix exponential in a Lie-algebraic setting
    • E. Celledoni and A. Iserles, Methods for the approximation of the matrix exponential in a Lie-algebraic setting, IMA J. Numer. Anal., 21 (2001), pp. 463-488.
    • (2001) IMA J. Numer. Anal. , vol.21 , pp. 463-488
    • Celledoni, E.1    Iserles, A.2
  • 8
    • 0347799731 scopus 로고    scopus 로고
    • On Krylov subspace approximations to the matrix exponential operator
    • M. Hochbruck and C. Lubich, On Krylov subspace approximations to the matrix exponential operator, SIAM J. Numer. Anal., 34 (1997), pp. 1911-1925.
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1911-1925
    • Hochbruck, M.1    Lubich, C.2
  • 9
    • 0042735340 scopus 로고    scopus 로고
    • On the global error of discretization methods for highly-oscillatory ordinary differential equations
    • A. Iserles, On the global error of discretization methods for highly-oscillatory ordinary differential equations, BIT, 42 (2002), pp. 561-599.
    • (2002) BIT , vol.42 , pp. 561-599
    • Iserles, A.1
  • 10
    • 0036776579 scopus 로고    scopus 로고
    • Think globally, act locally: Solving highly-oscillatory ordinary differential equations
    • A. Iserles, Think globally, act locally: Solving highly-oscillatory ordinary differential equations, Appl. Numer. Anal., 43 (2002), pp. 145-160.
    • (2002) Appl. Numer. Anal. , vol.43 , pp. 145-160
    • Iserles, A.1
  • 11
    • 4043159167 scopus 로고    scopus 로고
    • On the numerical quadrature of highly-oscillating integrals I: Fourier transforms
    • to appear
    • A. Iserles, On the numerical quadrature of highly-oscillating integrals I: Fourier transforms, IMA J. Numer. Anal. (2004), to appear.
    • (2004) IMA J. Numer. Anal.
    • Iserles, A.1
  • 13
    • 0346968523 scopus 로고    scopus 로고
    • On the solution of differential equations in Lie groups
    • A. Iserles and S. P. Nørsett, On the solution of differential equations in Lie groups, Phil. Trans. R. Soc. Lond. A, 357 (1999), pp. 983-1019.
    • (1999) Phil. Trans. R. Soc. Lond. A , vol.357 , pp. 983-1019
    • Iserles, A.1    Nørsett, S.P.2
  • 17
    • 0009898162 scopus 로고    scopus 로고
    • Generalized polar decompositions on Lie groups with involutive automorphisms
    • H. Munthe-Kaas, R. G. W. Quispel, and A. Zanna, Generalized polar decompositions on Lie groups with involutive automorphisms, Found. Comp. Maths, 1 (2001), pp. 297-324.
    • (2001) Found. Comp. Maths , vol.1 , pp. 297-324
    • Munthe-Kaas, H.1    Quispel, R.G.W.2    Zanna, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.