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Volumn 227, Issue 3, 2008, Pages 1739-1753

Krylov deferred correction accelerated method of lines transpose for parabolic problems

Author keywords

Krylov deferred correction; Krylov subspace methods; Method of lines; Parabolic partial differential equations; Preconditioners

Indexed keywords

ITERATIVE METHODS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 37249020842     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.09.018     Document Type: Article
Times cited : (38)

References (28)
  • 2
    • 0001657536 scopus 로고    scopus 로고
    • On the A-stability of Runge-Kutta collocation methods based on orthogonal polynomials
    • Barrio R. On the A-stability of Runge-Kutta collocation methods based on orthogonal polynomials. SIAM J. Numer. Anal. 36 4 (1999) 1291-1303
    • (1999) SIAM J. Numer. Anal. , vol.36 , Issue.4 , pp. 1291-1303
    • Barrio, R.1
  • 3
    • 33646161223 scopus 로고    scopus 로고
    • A wideband fast multipole method for the Helmholtz equation in three dimensions
    • Cheng H.W., et al. A wideband fast multipole method for the Helmholtz equation in three dimensions. J. Comput. Phys. 216 1 (2006) 300-325
    • (2006) J. Comput. Phys. , vol.216 , Issue.1 , pp. 300-325
    • Cheng, H.W.1
  • 4
    • 26944464197 scopus 로고    scopus 로고
    • An adaptive fast solver for the modified Helmholtz equation in two dimensions
    • Cheng H.W., Huang J.F., and Leiterman T.J. An adaptive fast solver for the modified Helmholtz equation in two dimensions. J. Comput. Phys. 211 2 (2006) 616-637
    • (2006) J. Comput. Phys. , vol.211 , Issue.2 , pp. 616-637
    • Cheng, H.W.1    Huang, J.F.2    Leiterman, T.J.3
  • 5
    • 0042185232 scopus 로고    scopus 로고
    • Spectral deferred correction methods for ordinary differential equations
    • Dutt S., Greengard L., and Rokhlin V. Spectral deferred correction methods for ordinary differential equations. BIT 40 2 (2000) 241-266
    • (2000) BIT , vol.40 , Issue.2 , pp. 241-266
    • Dutt, S.1    Greengard, L.2    Rokhlin, V.3
  • 6
    • 0036292379 scopus 로고    scopus 로고
    • A new fast-multipole accelerated Poisson solver in two dimensions
    • Ethridge F., and Greengard L. A new fast-multipole accelerated Poisson solver in two dimensions. SIAM J. Sci. Comput. 23 3 (2001) 741-760
    • (2001) SIAM J. Sci. Comput. , vol.23 , Issue.3 , pp. 741-760
    • Ethridge, F.1    Greengard, L.2
  • 8
    • 0026202215 scopus 로고
    • Spectral integration and two-point boundary value problems
    • Greengard L. Spectral integration and two-point boundary value problems. SIAM J. Numer. Anal. 28 (1991) 1071-1080
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1071-1080
    • Greengard, L.1
  • 9
    • 0030137413 scopus 로고    scopus 로고
    • A direct adaptive Poisson solver of arbitrary order accuracy
    • Greengard L., and Lee J.Y. A direct adaptive Poisson solver of arbitrary order accuracy. J. Comput. Phys. 125 2 (1996) 415-424
    • (1996) J. Comput. Phys. , vol.125 , Issue.2 , pp. 415-424
    • Greengard, L.1    Lee, J.Y.2
  • 10
    • 85011484616 scopus 로고    scopus 로고
    • A new version of the fast multipole method for the laplace equation in three dimensions
    • Greengard L., and Rokhlin V. A new version of the fast multipole method for the laplace equation in three dimensions. Acta Numer 6 (1997) 229-269
    • (1997) Acta Numer , vol.6 , pp. 229-269
    • Greengard, L.1    Rokhlin, V.2
  • 14
    • 33644964289 scopus 로고    scopus 로고
    • Accelerating the convergence of spectral deferred correction methods
    • Huang J., Jia J., and Minion M. Accelerating the convergence of spectral deferred correction methods. J. Comp. Phys. 214 2 (2006) 633-656
    • (2006) J. Comp. Phys. , vol.214 , Issue.2 , pp. 633-656
    • Huang, J.1    Jia, J.2    Minion, M.3
  • 15
    • 33846344707 scopus 로고    scopus 로고
    • Arbitrary order Krylov deferred correction methods for differential algebraic equations
    • Huang J., Jia J., and Minion M. Arbitrary order Krylov deferred correction methods for differential algebraic equations. J. Comp. Phys. 221 2 (2007) 739-760
    • (2007) J. Comp. Phys. , vol.221 , Issue.2 , pp. 739-760
    • Huang, J.1    Jia, J.2    Minion, M.3
  • 18
    • 0348198275 scopus 로고    scopus 로고
    • Jacobian-free Newton-Krylov methods: A survey of approaches and applications
    • Knoll D.A., and Keyes D.E. Jacobian-free Newton-Krylov methods: A survey of approaches and applications. J. Comput. Phys. 193 (2004) 357-397
    • (2004) J. Comput. Phys. , vol.193 , pp. 357-397
    • Knoll, D.A.1    Keyes, D.E.2
  • 19
    • 27144534869 scopus 로고    scopus 로고
    • Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations
    • Layton A.T., and Minion M.L. Implications of the choice of quadrature nodes for Picard integral deferred corrections methods for ordinary differential equations. BIT 45 2 (2005) 341-373
    • (2005) BIT , vol.45 , Issue.2 , pp. 341-373
    • Layton, A.T.1    Minion, M.L.2
  • 20
    • 0031082738 scopus 로고    scopus 로고
    • A fast adaptive numerical method for stiff two-point boundary value problems
    • Lee J., and Greengard L. A fast adaptive numerical method for stiff two-point boundary value problems. SIAM J. Sci. Comput. 18 2 (1997) 403-429
    • (1997) SIAM J. Sci. Comput. , vol.18 , Issue.2 , pp. 403-429
    • Lee, J.1    Greengard, L.2
  • 21
    • 16844371628 scopus 로고    scopus 로고
    • A fast direct solver for boundary integral equations in two dimensions
    • Martinsson P.G., and Rokhlin V. A fast direct solver for boundary integral equations in two dimensions. J. Comput. Phys. 205 (2005) 1-23
    • (2005) J. Comput. Phys. , vol.205 , pp. 1-23
    • Martinsson, P.G.1    Rokhlin, V.2
  • 22
    • 0008499364 scopus 로고
    • Iterated deferred correction for nonlinear boundary value problems
    • Pereyra V. Iterated deferred correction for nonlinear boundary value problems. Numer. Math. 11 (1968) 111-125
    • (1968) Numer. Math. , vol.11 , pp. 111-125
    • Pereyra, V.1
  • 23
    • 0000048673 scopus 로고
    • GMRES: a generalized minimal residual algorithm for solving non-symmetric linear systems
    • Saad Y., and Schultz M.H. GMRES: a generalized minimal residual algorithm for solving non-symmetric linear systems. SIAM J. Sci. Stat. Comput. 7 (1986) 856-869
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 25
    • 85190103194 scopus 로고    scopus 로고
    • L.N. Trefethen, Is Gauss Quadrature Better than Clenshaw-Curtis? SIAM Review, to appear.
  • 26
    • 85190107509 scopus 로고    scopus 로고
    • L. Ying, G. Biros, D. Zorin, H. Langston, A new parallel kernel-independent fast multiple algorithm, in: Proceedings of SC03, 2003.
  • 27
    • 85190126204 scopus 로고    scopus 로고
    • P.E. Zadunaisky, A method for the estimation of errors propagated in the numerical solution of a system of ordinary differential equations, The Theory of Orbits in the Solar System and in Stellar Systems, in: Proceedings of International Astronomical Union, Symposium 25, 1964.
  • 28
    • 0007148564 scopus 로고
    • On the estimation of errors propagated in the numerical integration of ordinary differential equations
    • Zadunaisky P.E. On the estimation of errors propagated in the numerical integration of ordinary differential equations. Numer. Math. 27 (1976) 21-40
    • (1976) Numer. Math. , vol.27 , pp. 21-40
    • Zadunaisky, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.