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Volumn 14, Issue 1, 2001, Pages 75-101

Full asymptotic s of spline Petrov-Galerkin methods for some periodic pseudodifferential equations

Author keywords

Boundary integral equations; Petrov Galerkin methods; Richardson extrapolation; Splines

Indexed keywords


EID: 0035594324     PISSN: 10197168     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016620816451     Document Type: Article
Times cited : (8)

References (22)
  • 2
    • 84966227868 scopus 로고
    • A spline-trigonometric Galerkin method and an exponentially convergent boundary integral method
    • D.N. Arnold, A spline-trigonometric Galerkin method and an exponentially convergent boundary integral method, Math. Comp. 41 (1983) 383-397.
    • (1983) Math. Comp. , vol.41 , pp. 383-397
    • Arnold, D.N.1
  • 3
    • 84966248635 scopus 로고
    • On the asymptotic convergence of collocation methods
    • D.N. Arnold and W.L. Wendland, On the asymptotic convergence of collocation methods, Math. Comp. 41 (1983) 349-381.
    • (1983) Math. Comp. , vol.41 , pp. 349-381
    • Arnold, D.N.1    Wendland, W.L.2
  • 4
    • 0000615142 scopus 로고
    • Spline qualocation methods for boundary integral equations
    • G.A. Chandler and I.H. Sloan, Spline qualocation methods for boundary integral equations, Numer. Math. 58 (1990) 537-567.
    • (1990) Numer. Math. , vol.58 , pp. 537-567
    • Chandler, G.A.1    Sloan, I.H.2
  • 6
    • 0001381725 scopus 로고    scopus 로고
    • The Petrov-Galerkin and iterated Petrov-Galerkin methods for second kind integral equations
    • Z. Chen and Y. Xu, The Petrov-Galerkin and iterated Petrov-Galerkin methods for second kind integral equations, SIAM J. Numer. Anal. 35 (1998) 406-434.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 406-434
    • Chen, Z.1    Xu, Y.2
  • 7
    • 0043117233 scopus 로고    scopus 로고
    • The discrete Petrov-Galerkin method for weakly singular integral equations
    • Z. Chen, Y. Xu and J. Zhao, The discrete Petrov-Galerkin method for weakly singular integral equations, J. Integral Equations Appl. 11 (1999) 1-35.
    • (1999) J. Integral Equations Appl. , vol.11 , pp. 1-35
    • Chen, Z.1    Xu, Y.2    Zhao, J.3
  • 8
    • 0032345889 scopus 로고    scopus 로고
    • Asymptotic expansions of the error of spline Galerkin boundary element methods
    • M. Crouzeix and F.-J. Sayas, Asymptotic expansions of the error of spline Galerkin boundary element methods, Numer. Math. 78 (1998) 523-547.
    • (1998) Numer. Math. , vol.78 , pp. 523-547
    • Crouzeix, M.1    Sayas, F.-J.2
  • 9
    • 85088886391 scopus 로고    scopus 로고
    • Local expansions of periodic spline interpolation with some applications
    • to appear
    • V. Domínguez and F.-J. Sayas, Local expansions of periodic spline interpolation with some applications, Math. Nachr., to appear.
    • Math. Nachr.
    • Domínguez, V.1    Sayas, F.-J.2
  • 11
    • 0001588713 scopus 로고
    • A Galerkin-collocation method for some integral equations of the first kind
    • G.C. Hsiao, P. Kopp and W.L. Wendland, A Galerkin-collocation method for some integral equations of the first kind, Computing 25 (1980) 89-130.
    • (1980) Computing , vol.25 , pp. 89-130
    • Hsiao, G.C.1    Kopp, P.2    Wendland, W.L.3
  • 15
    • 0042616413 scopus 로고
    • Local error estimates for some Petrov-Galerkin methods applied to strongly elliptic equations on curves
    • J. Saranen, Local error estimates for some Petrov-Galerkin methods applied to strongly elliptic equations on curves, Math. Comp. 48 (1987) 485-502.
    • (1987) Math. Comp. , vol.48 , pp. 485-502
    • Saranen, J.1
  • 16
    • 0008436960 scopus 로고
    • Extrapolation methods for spline collocation solutions of pseudodifferential equations on curves
    • J. Saranen, Extrapolation methods for spline collocation solutions of pseudodifferential equations on curves, Numer. Math. 56 (1989) 385-407.
    • (1989) Numer. Math. , vol.56 , pp. 385-407
    • Saranen, J.1
  • 17
    • 84966260734 scopus 로고
    • On the asymptotic convergence of collocation methods with spline functions of even degree
    • J. Saranen and W.L. Wendland, On the asymptotic convergence of collocation methods with spline functions of even degree, Math. Comp. 45 (1985) 91-108.
    • (1985) Math. Comp. , vol.45 , pp. 91-108
    • Saranen, J.1    Wendland, W.L.2
  • 18
    • 0031559387 scopus 로고    scopus 로고
    • Fully discrete Galerkin methods for systems of boundary integral equations
    • F.J. Sayas, Fully discrete Galerkin methods for systems of boundary integral equations, J. Comput. Appl. Math. 81 (1997) 311-331.
    • (1997) J. Comput. Appl. Math. , vol.81 , pp. 311-331
    • Sayas, F.J.1
  • 19
    • 0041146945 scopus 로고
    • The convergence of Galerkin and collocation methods with splines for pseudodifferential equations on closed curves
    • G. Schmidt, The convergence of Galerkin and collocation methods with splines for pseudodifferential equations on closed curves, Z. Anal. Anwendungen 3 (1984) 183-196.
    • (1984) Z. Anal. Anwendungen , vol.3 , pp. 183-196
    • Schmidt, G.1
  • 20
    • 0033407035 scopus 로고    scopus 로고
    • Spline qualocation methods for variable-coefficients elliptic equations on curves
    • I.H. Sloan and W.L. Wendland, Spline qualocation methods for variable-coefficients elliptic equations on curves, Numer. Math. 83 (1999) 497-533.
    • (1999) Numer. Math. , vol.83 , pp. 497-533
    • Sloan, I.H.1    Wendland, W.L.2
  • 22
    • 0000614984 scopus 로고
    • Boundary element methods for elliptic problems
    • A.H. Schatz, V. Thomée and W.L. Wendland Birkhäuser, Basel
    • W. Wendland, Boundary element methods for elliptic problems, in: Mathematical Theory of Finite and Boundary Element Methods, eds. A.H. Schatz, V. Thomée and W.L. Wendland (Birkhäuser, Basel, 1990) pp. 219-276.
    • (1990) Mathematical Theory of Finite and Boundary Element Methods , pp. 219-276
    • Wendland, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.