메뉴 건너뛰기




Volumn 20, Issue 2, 2004, Pages 277-302

An implementation of fast wavelet Galerkin methods for integral equations of the second kind

Author keywords

Boundary integral equations; Fredholm integral equations; Logarithmic singularity; Multiscale iteration methods; Wavelet Galerkin methods

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; GALERKIN METHODS; INTEGRAL EQUATIONS; ITERATIVE METHODS; LINEAR SYSTEMS; POLYNOMIALS; PROBLEM SOLVING;

EID: 1842823646     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:JOMP.0000008723.85496.ce     Document Type: Article
Times cited : (75)

References (13)
  • 1
    • 0002074029 scopus 로고
    • 2 for the sparse representation of integral operator
    • 2 for the sparse representation of integral operator. SIAM J. Math. Anal. 24, 246-262.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 246-262
    • Alpert, B.1
  • 3
    • 84990610636 scopus 로고
    • Fast wavelet transforms and numerical algorithms I
    • Beylkin, G., Coifman, R., and Rokhlin, V. (1991). Fast wavelet transforms and numerical algorithms I. Comm. Pure Appl. Math. 44, 141-183.
    • (1991) Comm. Pure Appl. Math. , vol.44 , pp. 141-183
    • Beylkin, G.1    Coifman, R.2    Rokhlin, V.3
  • 4
    • 0035888656 scopus 로고    scopus 로고
    • A multilevel method for solving operator equations
    • Chen, Z., Micchelli, C. A., and Xu, Y. (2001). A multilevel method for solving operator equations. J. Math. Anal. Appl. 262, 688-699.
    • (2001) J. Math. Anal. Appl. , vol.262 , pp. 688-699
    • Chen, Z.1    Micchelli, C.A.2    Xu, Y.3
  • 5
    • 0005554354 scopus 로고
    • A multiscale method for the double layer potential equation on a polyhedron
    • Dikshit, H. P., and Micchelli, C. A. (eds.), World Scientific, Singapore
    • Dahmen, W., Kleemann, B., Prössdorf, S., and Schneider, R. (1994). A multiscale method for the double layer potential equation on a polyhedron. In Dikshit, H. P., and Micchelli, C. A. (eds.), Advances in Computational Mathematics: New Delhi, India, World Scientific, Singapore.
    • (1994) Advances in Computational Mathematics: New Delhi, India
    • Dahmen, W.1    Kleemann, B.2    Prössdorf, S.3    Schneider, R.4
  • 6
    • 51249161722 scopus 로고
    • Wavelet approximation methods for psuedodifferential equations I: Stability and convergence
    • Dahmen, W., Prössdorf, S., and Schneider, R. (1994). Wavelet approximation methods for psuedodifferential equations I: Stability and convergence. Math. Z. 215, 583-620.
    • (1994) Math. Z. , vol.215 , pp. 583-620
    • Dahmen, W.1    Prössdorf, S.2    Schneider, R.3
  • 7
    • 0000827236 scopus 로고
    • Wavelet approximation methods for psuedodifferential equations II: Matrix compression and fast solutions
    • Dahmen, W., Prössdorf, S., and Schneider, R. (1993). Wavelet approximation methods for psuedodifferential equations II: Matrix compression and fast solutions. Adv. Comput. Math. 1, 259-335.
    • (1993) Adv. Comput. Math. , vol.1 , pp. 259-335
    • Dahmen, W.1    Prössdorf, S.2    Schneider, R.3
  • 8
    • 1842722770 scopus 로고    scopus 로고
    • Multilevel iteration methods for solving integral equations of the second kind
    • Fang, W., Ma, F., and Xu, Y. (2002). Multilevel iteration methods for solving integral equations of the second kind. J. Integral Equations Appl. 14, 355-376.
    • (2002) J. Integral Equations Appl , vol.14 , pp. 355-376
    • Fang, W.1    Ma, F.2    Xu, Y.3
  • 9
    • 84968466213 scopus 로고
    • Gauss-type quadratures for weakly singular integrals and their application to Fredholm integral equations of the second kind
    • Kaneko, H., and Xu, Y. (1994). Gauss-type quadratures for weakly singular integrals and their application to Fredholm integral equations of the second kind. Math. Comp. 62, 739-753.
    • (1994) Math. Comp. , vol.62 , pp. 739-753
    • Kaneko, H.1    Xu, Y.2
  • 11
    • 34249955643 scopus 로고
    • A Nyström method for boundary integral equations in domains with corners
    • Kress, R. (1990). A Nyström method for boundary integral equations in domains with corners. Numer. Math. 58, 145-161.
    • (1990) Numer. Math. , vol.58 , pp. 145-161
    • Kress, R.1
  • 12
    • 0028499152 scopus 로고
    • Using the matrix refinement equation for the construction of wavelets on invariant sets
    • Micchelli, C. A., and Xu, Y. (1994). Using the matrix refinement equation for the construction of wavelets on invariant sets. Appl. Comput. Harmon. Anal. 1, 391-401.
    • (1994) Appl. Comput. Harmon. Anal. , vol.1 , pp. 391-401
    • Micchelli, C.A.1    Xu, Y.2
  • 13
    • 0031277073 scopus 로고    scopus 로고
    • Wavelet Galerkin methods for second-kind integral equations
    • Micchelli, C. A., Xu, Y., and Zhao, Y. (1997). Wavelet Galerkin methods for second-kind integral equations. J. Comp. Appl. Math. 86, 251-270.
    • (1997) J. Comp. Appl. Math. , vol.86 , pp. 251-270
    • Micchelli, C.A.1    Xu, Y.2    Zhao, Y.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.