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Volumn 10, Issue 6, 2004, Pages 645-660

Numerical solution of the Lippmann-Schwinger equation by approximate approximations

Author keywords

Approximation with Gaussians; Collocation; Cubatures; Helmholtz equation; Lippmann Schwinger equation

Indexed keywords


EID: 12844285198     PISSN: 10695869     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00041-004-3080-z     Document Type: Article
Times cited : (16)

References (12)
  • 3
    • 0003275409 scopus 로고
    • Inverse acoustic and electromagnetic scattering theory
    • Springer, Berlin
    • Colton, D. and Kress, R. (1992). Inverse acoustic and electromagnetic scattering theory, Appl. Math. Sci., 93, Springer, Berlin.
    • (1992) Appl. Math. Sci. , vol.93
    • Colton, D.1    Kress, R.2
  • 4
    • 0003934593 scopus 로고
    • (Russian), Spravochnaya Matematicheskaya Biblioteka, Nauka, Moskva
    • Fedoryuk, M.V. (1987). Asymptotics: Integrals and Series, (Russian), Spravochnaya Matematicheskaya Biblioteka, Nauka, Moskva.
    • (1987) Asymptotics: Integrals and Series
    • Fedoryuk, M.V.1
  • 5
    • 12844260824 scopus 로고
    • A new approximation method and its applications to the calculation of volume potentials. Boundary point method
    • Maz'ya, V. (1991). A new approximation method and its applications to the calculation of volume potentials. boundary point method, in 3. DFG-Kolloqium des DFG-Forschungsschweipunktes "Randelementmethoden."
    • (1991) 3. DFG-Kolloqium des DFG-Forschungsschweipunktes " Randelementmethoden"
    • Maz'ya, V.1
  • 6
    • 0001868023 scopus 로고
    • Approximate approximations
    • Highlights, 1993, Whiteman, J.R., Ed., John Wiley & Sons, Chichester
    • Maz'ya, V. (1994). Approximate approximations, in The Mathematics of Finite Elements and Applications, Highlights, 1993, Whiteman, J.R., Ed., 77-104, John Wiley & Sons, Chichester.
    • (1994) The Mathematics of Finite Elements and Applications , pp. 77-104
    • Maz'ya, V.1
  • 7
    • 0039863907 scopus 로고    scopus 로고
    • On approximate approximations using Gaussian kernels
    • Maz'ya, V. and Schmidt, G. (1996). On approximate approximations using Gaussian kernels, IMA J. Num. Anal., 16, 13-29.
    • (1996) IMA J. Num. Anal. , vol.16 , pp. 13-29
    • Maz'ya, V.1    Schmidt, G.2
  • 8
    • 0037492782 scopus 로고
    • Approximate approximations and the cubature of potentials
    • Maz'ya, V. and Schmidt, G. (1995). Approximate approximations and the cubature of potentials, Rend. Mat. Acc. Lincei, 6(9), 161-184.
    • (1995) Rend. Mat. Acc. Lincei , vol.6 , Issue.9 , pp. 161-184
    • Maz'ya, V.1    Schmidt, G.2
  • 9
    • 0038367004 scopus 로고    scopus 로고
    • Construction of basis functions for high order approximate approximations
    • Bonnet, M., Sandig, A.-M., Wendland, W.L., Eds., Chapman-Hall/CRC Research Notes in Mathematics, London
    • Maz'ya, V. and Schmidt, G. (1999). Construction of basis functions for high order approximate approximations, in Mathematical Aspects of Boundary Element Methods, Bonnet, M., Sandig, A.-M., Wendland, W.L., Eds., 165-177, Chapman-Hall/CRC Research Notes in Mathematics, London.
    • (1999) Mathematical Aspects of Boundary Element Methods , pp. 165-177
    • Maz'ya, V.1    Schmidt, G.2
  • 11
    • 0037842986 scopus 로고    scopus 로고
    • Fast solvers of the Lippmann-Schwinger equation
    • Direct and Inverse Problems of Mathematical Physics, Gilbert, R.P., et al., Eds., Kluwer, Dordrecht
    • Vainikko, G. (2000). Fast solvers of the Lippmann-Schwinger equation, in Direct and Inverse Problems of Mathematical Physics, Gilbert, R.P., et al., Eds., Int. Soc. Anal. Appl. Comput., 5, 423-440, Kluwer, Dordrecht.
    • (2000) Int. Soc. Anal. Appl. Comput. , vol.5 , pp. 423-440
    • Vainikko, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.