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Volumn 25, Issue 1-4, 2000, Pages 181-195

Newton iteration for partial differential equations and the approximation of the identity

Author keywords

Approximation of the identity; Nash iteration; Newton methods; Partial differential equations

Indexed keywords


EID: 0034562122     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1016609007255     Document Type: Article
Times cited : (17)

References (16)
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    • T.A. Davis and E.G. Gartland, Jr., Finite element analysis of the Landau-de Gennes minimization problem for liquid crystals, SIAM J. Numer. Anal. 35 (1998) 336-362.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 336-362
    • Davis, T.A.1    Gartland E.G., Jr.2
  • 5
    • 0026838281 scopus 로고
    • Analysis and approximation of the Ginzburg-Landau model of superconductivity
    • Q. Du, M.D. Gunzburger and J.S. Peterson, Analysis and approximation of the Ginzburg-Landau model of superconductivity, SIAM Rev. 34 (1992) 54-81.
    • (1992) SIAM Rev. , vol.34 , pp. 54-81
    • Du, Q.1    Gunzburger, M.D.2    Peterson, J.S.3
  • 6
    • 0002434097 scopus 로고    scopus 로고
    • Solving partial differential equations by collocation with radial basis functions
    • eds. A. Le Méhauté, C. Rabut and L.L. Schumaker Vanderbilt Univ. Press
    • G.E. Fasshauer, Solving partial differential equations by collocation with radial basis functions, in: Surface Fitting and Multiresolution Methods, eds. A. Le Méhauté, C. Rabut and L.L. Schumaker (Vanderbilt Univ. Press, 1997) pp. 131-138.
    • (1997) Surface Fitting and Multiresolution Methods , pp. 131-138
    • Fasshauer, G.E.1
  • 7
    • 0033691073 scopus 로고    scopus 로고
    • Nash iteration as a computational tool for differential equations
    • G.E. Fasshauer, E.G. Gartland, Jr. and J.W. Jerome, Nash iteration as a computational tool for differential equations, J. Comput. Appl. Math. 119 (2000) 161-183.
    • (2000) J. Comput. Appl. Math. , vol.119 , pp. 161-183
    • Fasshauer, G.E.1    Gartland E.G., Jr.2    Jerome, J.W.3
  • 8
    • 0033481694 scopus 로고    scopus 로고
    • Multistep approximation algorithms: Improved convergence rates through postconditioning with smoothing kernels
    • G.E. Fasshauer and J.W. Jerome, Multistep approximation algorithms: Improved convergence rates through postconditioning with smoothing kernels, Adv. Comput. Math. 10 (1999) 1-27.
    • (1999) Adv. Comput. Math. , vol.10 , pp. 1-27
    • Fasshauer, G.E.1    Jerome, J.W.2
  • 10
    • 0039035528 scopus 로고
    • Approximate Newton methods and homotopy for stationary operator equations
    • J.W. Jerome, Approximate Newton methods and homotopy for stationary operator equations, Constr. Approx. 1 (1985) 271-285.
    • (1985) Constr. Approx. , vol.1 , pp. 271-285
    • Jerome, J.W.1
  • 11
    • 0008061146 scopus 로고
    • An adaptive Newton algorithm based on numerical inversion: Regularization as post-conditioner
    • J.W. Jerome, An adaptive Newton algorithm based on numerical inversion: Regularization as post-conditioner, Numer. Math. 47 (1985) 123-138.
    • (1985) Numer. Math. , vol.47 , pp. 123-138
    • Jerome, J.W.1
  • 12
    • 0041072685 scopus 로고
    • An asymptotically linear fixed point extension of the inf-sup theory of Galerkin approximation
    • J.W. Jerome, An asymptotically linear fixed point extension of the inf-sup theory of Galerkin approximation, Numer. Funct. Anal. Optim. 16 (1995) 345-361.
    • (1995) Numer. Funct. Anal. Optim. , vol.16 , pp. 345-361
    • Jerome, J.W.1
  • 13
    • 34249923111 scopus 로고
    • On acceleration methods for coupled nonlinear elliptic systems
    • T. Kerkhoven and Y. Saad, On acceleration methods for coupled nonlinear elliptic systems, Numer. Math. 60 (1992) 525-548.
    • (1992) Numer. Math. , vol.60 , pp. 525-548
    • Kerkhoven, T.1    Saad, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.