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Volumn 12, Issue 4, 2004, Pages 413-449

Numerical analysis on the sierpinski gasket, with applications to schrödinger equations, wave equation, and Gibes' phenomenon

Author keywords

Analysis on Fractals; Finite Element Method; Fourier Series; Gibbs' Phenomenon; Schr dinger Equations; Sjierpinski Gasket; Wave Equation; Well Type Potentials

Indexed keywords

DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; FOURIER TRANSFORMS; MATHEMATICAL MODELS; MATHEMATICAL TECHNIQUES; NUMERICAL ANALYSIS; QUANTUM THEORY;

EID: 12344261783     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X04002689     Document Type: Article
Times cited : (19)

References (20)
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  • 2
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  • 3
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    • Analysis on fractals
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  • 6
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    • Fractal differential equations on the Sierpinski gasket
    • K. Dalrymple, R. Strichartz and J. Vinson, Fractal differential equations on the Sierpinski gasket, J. Fourier Anal. Appl. 5 (1999) 203-284.
    • (1999) J. Fourier Anal. Appl. , vol.5 , pp. 203-284
    • Dalrymple, K.1    Strichartz, R.2    Vinson, J.3
  • 8
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    • The finite element method on the Sierpinski gasket
    • M. Gibbons, A. Raj and R. Strichartz, The finite element method on the Sierpinski gasket, Construct. Approx. 17 (2001) 561-588.
    • (2001) Construct. Approx. , vol.17 , pp. 561-588
    • Gibbons, M.1    Raj, A.2    Strichartz, R.3
  • 11
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    • Sampling on the Sierpinski gasket
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  • 12
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    • What is not in the domain of the Laplacian on Sierpinski gasket type fractals
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  • 13
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    • On a spectral analy sis for the Sierpinski gasket
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  • 14
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    • Fractafolds based on the Sierpinski gasket and their spectra
    • R. Strichartz, Fractafolds based on the Sierpinski gasket and their spectra, Trans. Am. Math. Soc. 355 (2003) 4019-4043.
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  • 16
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    • B. Bockelman and R. Strichartz, in preparation
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  • 17
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    • Calculus on the Sierpinski gasket I: Polynomials, exponentials and power series
    • to appear
    • J. Needleman, R. Strichartz, A. Teplyaev and P.-L. Yang, Calculus on the Sierpinski gasket I: polynomials, exponentials and power series, J. Funct. Anal., to appear.
    • J. Funct. Anal.
    • Needleman, J.1    Strichartz, R.2    Teplyaev, A.3    Yang, P.-L.4
  • 19
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    • p-energy and p-harmonic functions on Sierpinski gasket type fractals
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  • 20
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    • The p-laplacian on the Sierpinski gasket
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    • (2004) Nonlinearity , vol.17 , pp. 595-616
    • Strichartz, R.1    Wong, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.