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Volumn 191, Issue 1, 2006, Pages 126-142

Computing eigenfunctions on the Koch Snowflake: A new grid and symmetry

Author keywords

Eigenvalue problem; Snowflake; Symmetry

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATION THEORY; EXTRAPOLATION; FRACTALS; MATRIX ALGEBRA;

EID: 33644858405     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.03.075     Document Type: Article
Times cited : (24)

References (13)
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    • A Multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides
    • L. Banjai, and L.N. Trefethen A Multipole method for Schwarz-Christoffel mapping of polygons with thousands of sides SIAM J. Sci. Comput. 25 3 2003 1042 1065
    • (2003) SIAM J. Sci. Comput. , vol.25 , Issue.3 , pp. 1042-1065
    • Banjai, L.1    Trefethen, L.N.2
  • 4
    • 84966208492 scopus 로고
    • Fractal drum, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture
    • M.L. Lapidus Fractal drum, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture Trans. Amer. Math. Soc. 325 1991 465 529
    • (1991) Trans. Amer. Math. Soc. , vol.325 , pp. 465-529
    • Lapidus, M.L.1
  • 5
    • 0008972115 scopus 로고    scopus 로고
    • Snowflake harmonics and computer graphics: Numerical computation of spectra on fractal drums
    • M.L. Lapidus, J.W. Neuberger, R.L. Renka, and C.A. Griffith Snowflake harmonics and computer graphics: numerical computation of spectra on fractal drums Internat. J. Bifurcation Chaos 6 7 1996 1185 1210
    • (1996) Internat. J. Bifurcation Chaos , vol.6 , Issue.7 , pp. 1185-1210
    • Lapidus, M.L.1    Neuberger, J.W.2    Renka, R.L.3    Griffith, C.A.4
  • 6
    • 21844527132 scopus 로고
    • Eigenfunctions on the Koch Snowflake domain
    • M.L. Lapidus, and M.M.H. Pang Eigenfunctions on the Koch Snowflake domain Commun. Math. Phys. 172 2 1995 359 376
    • (1995) Commun. Math. Phys. , vol.172 , Issue.2 , pp. 359-376
    • Lapidus, M.L.1    Pang, M.M.H.2
  • 9
    • 0035606761 scopus 로고    scopus 로고
    • Newton's method and Morse index for semilinear elliptic PDEs
    • J.M. Neuberger, and J.W. Swift Newton's method and Morse index for semilinear elliptic PDEs Internat. J. Bifurcation Chaos 11 3 2001 801 820
    • (2001) Internat. J. Bifurcation Chaos , vol.11 , Issue.3 , pp. 801-820
    • Neuberger, J.M.1    Swift, J.W.2
  • 10
    • 0003823142 scopus 로고
    • Wadsworth & Brooks/Cole Adv. Books Software Pacific Grove, CA
    • B.E. Sagan The Symmetric Group 1991 Wadsworth & Brooks/Cole Adv. Books Software Pacific Grove, CA
    • (1991) The Symmetric Group
    • Sagan, B.E.1
  • 11
    • 0004265573 scopus 로고
    • Prentice-Hall Englewood Cliffs, NJ
    • W.R. Scott Group Theory 1964 Prentice-Hall Englewood Cliffs, NJ
    • (1964) Group Theory
    • Scott, W.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.