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Volumn 19, Issue 11, 2006, Pages 1278-1285

Collocation method for the natural boundary integral equation

Author keywords

Collocation method; Legendre wavelet; Natural boundary integral equation

Indexed keywords

ALGORITHMS; COSTS; LAPLACE TRANSFORMS; MATRIX ALGEBRA; WAVELET TRANSFORMS;

EID: 33745669414     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2006.01.014     Document Type: Article
Times cited : (21)

References (19)
  • 1
    • 33745643527 scopus 로고    scopus 로고
    • K. Feng, Finite element method and natural boundary reduction, in Proc. of the International Congress of Mathematicians, Warszawa, 1983, pp. 1439-1453
  • 3
    • 31044431905 scopus 로고    scopus 로고
    • Trigonometric Hermite wavelet and natural integral equations for Stokes problem
    • Wavelet Analysis and Application. Yan S.T. (Ed), International Press
    • Chen W., and Lin W. Trigonometric Hermite wavelet and natural integral equations for Stokes problem. Wavelet Analysis and Application. In: Yan S.T. (Ed). Studies in Advanced Mathematics vol. 25 (2002), International Press 73-86
    • (2002) Studies in Advanced Mathematics , vol.25 , pp. 73-86
    • Chen, W.1    Lin, W.2
  • 4
    • 0442304909 scopus 로고    scopus 로고
    • The natural integral equations of 3-D harmonic problems and their numerical solutions
    • Wu J., and Yu D. The natural integral equations of 3-D harmonic problems and their numerical solutions. Chinese J. Numer. Math. Appl. 21 1 (1999) 73-85
    • (1999) Chinese J. Numer. Math. Appl. , vol.21 , Issue.1 , pp. 73-85
    • Wu, J.1    Yu, D.2
  • 5
    • 84974623506 scopus 로고    scopus 로고
    • Wavelet algorithm for the numerical solution of plane elasticity problems
    • Tang Y.Y., Yuen P.C., and Li C.-h. (Eds), Springer
    • Shen Y., and Lin W. Wavelet algorithm for the numerical solution of plane elasticity problems. In: Tang Y.Y., Yuen P.C., and Li C.-h. (Eds). Wavelet Analysis and its Applications (2001), Springer 139-144
    • (2001) Wavelet Analysis and its Applications , pp. 139-144
    • Shen, Y.1    Lin, W.2
  • 6
    • 33745653099 scopus 로고    scopus 로고
    • Shannon wavelet method of natural boundary element of harmonic equation
    • (in Chinese)
    • Chen W., and Zhong Y. Shannon wavelet method of natural boundary element of harmonic equation. Numer. Math. J. Chinese Univ. 2 (2001) 125-134 (in Chinese)
    • (2001) Numer. Math. J. Chinese Univ. , vol.2 , pp. 125-134
    • Chen, W.1    Zhong, Y.2
  • 7
    • 0002423338 scopus 로고
    • Wavelets solution of linear and nonlinear elliptic, parabolic and hyperbolic problems in one space dimension
    • SIAM, Philadelphia
    • Glowinski R., Lawton W., Ravachol M., and Tenenbaum E. Wavelets solution of linear and nonlinear elliptic, parabolic and hyperbolic problems in one space dimension. Computing Methods in Applied Sciences and Engineering (1990), SIAM, Philadelphia 55-120
    • (1990) Computing Methods in Applied Sciences and Engineering , pp. 55-120
    • Glowinski, R.1    Lawton, W.2    Ravachol, M.3    Tenenbaum, E.4
  • 8
    • 0002508275 scopus 로고
    • Wavelet solutions for time harmonic acoustic waves in a finite ocean
    • Gilbert R.P., and Lin W. Wavelet solutions for time harmonic acoustic waves in a finite ocean. J. Comput. Acoust. 1 1 (1993) 31-60
    • (1993) J. Comput. Acoust. , vol.1 , Issue.1 , pp. 31-60
    • Gilbert, R.P.1    Lin, W.2
  • 9
    • 0442289044 scopus 로고
    • Galerkin-wavelet methods for two-point boundary value problems
    • Xu J.-C., and Shann W.C. Galerkin-wavelet methods for two-point boundary value problems. Numer. Math. Anal. 24 (1992) 246-262
    • (1992) Numer. Math. Anal. , vol.24 , pp. 246-262
    • Xu, J.-C.1    Shann, W.C.2
  • 10
    • 21744452540 scopus 로고    scopus 로고
    • The Petrov-Galerkin methods for second kind integral equations II: multiwavelet scheme
    • Chen Z., Micchelli C.A., and Xu Y. The Petrov-Galerkin methods for second kind integral equations II: multiwavelet scheme. Adv. Comput. Math. 7 (1997) 199-233
    • (1997) Adv. Comput. Math. , vol.7 , pp. 199-233
    • Chen, Z.1    Micchelli, C.A.2    Xu, Y.3
  • 11
    • 0141514730 scopus 로고    scopus 로고
    • Wavelet collocation methods for a first kind boundary integral equation in acoustic scattering
    • Hsiao G., and Rathsfeld A. Wavelet collocation methods for a first kind boundary integral equation in acoustic scattering. Adv. Comput. Math. 17 (2002) 281-308
    • (2002) Adv. Comput. Math. , vol.17 , pp. 281-308
    • Hsiao, G.1    Rathsfeld, A.2
  • 12
    • 0036108418 scopus 로고    scopus 로고
    • Discrete wavelet Petrov-Galerkin methods
    • Chen Z., Micchelli C.A., and Xu Y. Discrete wavelet Petrov-Galerkin methods. Adv. Comput. Math. 16 (2002) 1-28
    • (2002) Adv. Comput. Math. , vol.16 , pp. 1-28
    • Chen, Z.1    Micchelli, C.A.2    Xu, Y.3
  • 13
    • 0028499152 scopus 로고
    • Using the matrix refinement equation for the construction of wavelets on invariant sets
    • Micchelli C.A., and Xu Y. Using the matrix refinement equation for the construction of wavelets on invariant sets. Appl. Comput. Harmon. Anal. 1 (1994) 391-401
    • (1994) Appl. Comput. Harmon. Anal. , vol.1 , pp. 391-401
    • Micchelli, C.A.1    Xu, Y.2
  • 14
    • 0030785892 scopus 로고    scopus 로고
    • Reconstruction and decomposition algorithms for biorthogonal multiwavelets
    • Micchelli C.A., and Xu Y. Reconstruction and decomposition algorithms for biorthogonal multiwavelets. Multidimens. Systems Signal Process. 8 (1997) 31-69
    • (1997) Multidimens. Systems Signal Process. , vol.8 , pp. 31-69
    • Micchelli, C.A.1    Xu, Y.2
  • 15
    • 0033456757 scopus 로고    scopus 로고
    • A construction of interpolating wavelets on invariant sets
    • Chen Z., Micchelli C.A., and Xu Y. A construction of interpolating wavelets on invariant sets. Comput. Math. 68 (1999) 1569-1587
    • (1999) Comput. Math. , vol.68 , pp. 1569-1587
    • Chen, Z.1    Micchelli, C.A.2    Xu, Y.3
  • 16
    • 0036556665 scopus 로고    scopus 로고
    • Fast collocation methods for second kind integral equations
    • Chen Z., Micchelli C.A., and Xu Y. Fast collocation methods for second kind integral equations. SIAM J. Numer. Anal. 40 1 (2002) 344-375
    • (2002) SIAM J. Numer. Anal. , vol.40 , Issue.1 , pp. 344-375
    • Chen, Z.1    Micchelli, C.A.2    Xu, Y.3
  • 17
    • 33745658021 scopus 로고    scopus 로고
    • Numerical quadratures for hypersingular integrals
    • Shen Y. Numerical quadratures for hypersingular integrals. Numer. Math. J. Chinese Univ. 1 (2006)
    • (2006) Numer. Math. J. Chinese Univ. , vol.1
    • Shen, Y.1
  • 18
    • 0032803628 scopus 로고    scopus 로고
    • Evaluations of hypersingular integrals using Gaussian quadrature
    • Hui C.-Y., and Shia D. Evaluations of hypersingular integrals using Gaussian quadrature. Internet. J. Numer. Methods Engrg. 44 (1999) 205-214
    • (1999) Internet. J. Numer. Methods Engrg. , vol.44 , pp. 205-214
    • Hui, C.-Y.1    Shia, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.