메뉴 건너뛰기




Volumn 84, Issue 6, 2007, Pages 749-765

On the local and global errors of splitting approximations of reaction-diffusion equations with high spatial gradients

Author keywords

High spatial gradients; Reaction diffusion equations; Splitting approximation errors

Indexed keywords

ERROR ANALYSIS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 34547502899     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160701458716     Document Type: Article
Times cited : (12)

References (13)
  • 1
    • 0009472127 scopus 로고
    • Accurate partial difference methods-Part I: Linear Cauchy problems
    • Strang, G., 1963, Accurate partial difference methods-Part I: Linear Cauchy problems. Archives of Rational Mechanics and Analysis, 12, 392-402.
    • (1963) Archives of Rational Mechanics and Analysis , vol.12 , pp. 392-402
    • Strang, G.1
  • 2
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • Strang, G., 1968, On the construction and comparison of difference schemes. SIAM Journal on Numerical Analysis, 5, 506-517.
    • (1968) SIAM Journal on Numerical Analysis , vol.5 , pp. 506-517
    • Strang, G.1
  • 3
    • 34547508696 scopus 로고    scopus 로고
    • Structure-preserving algorithms for ordinary differential equations
    • Geometric Numerical Integration 2nd edn, Berlin: Springer-Verlag
    • Hairer, E., Lubich, C. and Wanner, G., 2006, Structure-preserving algorithms for ordinary differential equations. In Geometric Numerical Integration (2nd edn), Springer Series in Computational Mathematics, Vol. 31 (Berlin: Springer-Verlag).
    • (2006) Springer Series in Computational Mathematics , vol.31
    • Hairer, E.1    Lubich, C.2    Wanner, G.3
  • 4
    • 0000092377 scopus 로고    scopus 로고
    • Error bounds for exponential operator splittings
    • Jahnke, T. and Lubich, C., 2000, Error bounds for exponential operator splittings. BIT Numerical Mathematics, 40(4), 735-744.
    • (2000) BIT Numerical Mathematics , vol.40 , Issue.4 , pp. 735-744
    • Jahnke, T.1    Lubich, C.2
  • 6
    • 0347476982 scopus 로고    scopus 로고
    • On the convergence and optimization of the Baker-Campbell-Hausdorff formula
    • Blanes, S. and Casas, F. 2004, On the convergence and optimization of the Baker-Campbell-Hausdorff formula. Linear Algebra and its Applications, 378, 135-158.
    • (2004) Linear Algebra and its Applications , vol.378 , pp. 135-158
    • Blanes, S.1    Casas, F.2
  • 7
    • 0035617644 scopus 로고    scopus 로고
    • Convergence of a splitting method of high order for reaction-diffusion systems
    • Descombes, S., 2001, Convergence of a splitting method of high order for reaction-diffusion systems. Mathematics of Computation, 70, 1481-1501.
    • (2001) Mathematics of Computation , vol.70 , pp. 1481-1501
    • Descombes, S.1
  • 8
    • 0035531639 scopus 로고    scopus 로고
    • The norm convergence of the Trotter-Kato product formula with error bound
    • Ichinose, T. and Tamura, H., 2001, The norm convergence of the Trotter-Kato product formula with error bound. Communications in Mathematical Physics, 217, 489-502.
    • (2001) Communications in Mathematical Physics , vol.217 , pp. 489-502
    • Ichinose, T.1    Tamura, H.2
  • 9
    • 0035531639 scopus 로고    scopus 로고
    • Ichinose, T., Tamura, H., Tamura, H. and Zagrebnov, V.A., 2001, Note on the paper: The norm convergence of the Trotter-Kato product formula with, error bound' by T. Ichinose and H. Tamura [Communications in Mathematical Physics, 217, No. 3, 2001, pp. 489-502]. Communications in Mathematical Physics, 221, 499-510.
    • Ichinose, T., Tamura, H., Tamura, H. and Zagrebnov, V.A., 2001, Note on the paper: "The norm convergence of the Trotter-Kato product formula with, error bound' by T. Ichinose and H. Tamura [Communications in Mathematical Physics, Vol. 217, No. 3, 2001, pp. 489-502]. Communications in Mathematical Physics, 221, 499-510.
  • 12
    • 34547521113 scopus 로고
    • Traveling Wave Solutions of Parabolic Systems, James F
    • Providence, RI: American Mathematical Society
    • Volpert, A.I, Volpert, V.A. and Volpert, V.A., 1994, Traveling Wave Solutions of Parabolic Systems, James F. Heyda (Transl.) (Providence, RI: American Mathematical Society).
    • (1994) Heyda (Transl.)
    • Volpert, A.I.1    Volpert, V.A.2    Volpert, V.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.