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Volumn 60, Issue 2, 2000, Pages 664-678

Numerical solution of nonlinear hypersingular integral equations of the Peierls type in dislocation theory

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; FOURIER TRANSFORMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; PERTURBATION TECHNIQUES; POISSON RATIO; POLYNOMIALS;

EID: 0034564177     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/s003613999631162x     Document Type: Article
Times cited : (15)

References (15)
  • 2
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    • The size of a dislocation
    • R. PEIERLS, The size of a dislocation, Proc. Phys. Soc., 52 (1940), p. 34.
    • (1940) Proc. Phys. Soc. , vol.52 , pp. 34
    • Peierls, R.1
  • 3
    • 0031116613 scopus 로고    scopus 로고
    • The Peierls-Nabarro and Benjamin-Ono equations
    • J. F. TOLAND, The Peierls-Nabarro and Benjamin-Ono equations, J. Funct. Anal., 145 (1997), 136-150.
    • (1997) J. Funct. Anal. , vol.145 , pp. 136-150
    • Toland, J.F.1
  • 6
    • 84996214868 scopus 로고
    • The spacing of prismatic dislocation loops
    • R. BULLOUGH AND R. C. NEWMAN, The spacing of prismatic dislocation loops, Philos. Mag., 5 (1960), pp. 921-926.
    • (1960) Philos. Mag. , vol.5 , pp. 921-926
    • Bullough, R.1    Newman, R.C.2
  • 7
    • 30744451865 scopus 로고
    • Dislocations in a simple cubic lattice
    • F. R. N. NABARRO, Dislocations in a simple cubic lattice, Proc. Phys. Soc., 59 (1947), pp. 256-272.
    • (1947) Proc. Phys. Soc. , vol.59 , pp. 256-272
    • Nabarro, F.R.N.1
  • 9
    • 0031129193 scopus 로고    scopus 로고
    • Time-marching algorithms for nonlocal evolution equations based upon approximate approximations
    • V. KARLIN AND V. G. MAZ'YA, Time-marching algorithms for nonlocal evolution equations based upon approximate approximations, SIAM J. Sci. Comput., 18 (1997), pp. 736-752.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 736-752
    • Karlin, V.1    Maz'ya, V.G.2
  • 11
    • 0039863907 scopus 로고    scopus 로고
    • On approximate, approximations using Gaussian kernels
    • V. G. MAZ'YA AND G. SCHMIDT, On approximate, approximations using Gaussian kernels, IMA J. Numer. Anal., 16 (1996), pp. 13-29.
    • (1996) IMA J. Numer. Anal. , vol.16 , pp. 13-29
    • Maz'ya, V.G.1    Schmidt, G.2
  • 12
    • 0344178366 scopus 로고
    • Factors controlling dislocation widths
    • A. J. FOREMAN, M. A. JASWON, AND J. K. WOOD, Factors controlling dislocation widths, Proc. Phys. Soc., 64A (1951), pp. 156-163.
    • (1951) Proc. Phys. Soc. , vol.64 A , pp. 156-163
    • Foreman, A.J.1    Jaswon, M.A.2    Wood, J.K.3
  • 14
    • 0005319086 scopus 로고
    • Elementary Functions
    • Gordon and Breach Science Publishers, New York
    • A. P. PRUDNIKOV, YU. A. BRYCHKOV, AND O. I. MARICHEV, Elementary Functions, Volume 1 of Integrals and Series, Gordon and Breach Science Publishers, New York, 1986.
    • (1986) Integrals and Series , vol.1
    • Prudnikov, A.P.1    Brychkov, Yu.A.2    Marichev, O.I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.