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Volumn 3401, Issue , 2005, Pages 328-336

A Rothe-immersed interface method for a class of parabolic interface problems

Author keywords

Cartesian grids; Delta Dirac function; Finite difference schemes; Immersed interface method; Nonlinear parabolic problems

Indexed keywords

FINITE DIFFERENCE METHOD; NONLINEAR SYSTEMS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

EID: 24144432132     PISSN: 03029743     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-540-31852-1_39     Document Type: Conference Paper
Times cited : (6)

References (12)
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  • 2
    • 84974160154 scopus 로고
    • A diffusion equation with localized chemical reactions
    • Chadam, J.M., Yin, H.M.: A Diffusion Equation With Localized Chemical Reactions. Proc. of Edinburgh Math. Soc. 37 (1993) 101-118
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    • Chadam, J.M.1    Yin, H.M.2
  • 3
    • 0031103708 scopus 로고    scopus 로고
    • Channel flow of a viscous fluid in the boundary layer
    • Chan, C.Y., Kong, P.C.: Channel Flow of a Viscous Fluid in the Boundary Layer. Quart. Appl. Math. 55 (1997) 51-56
    • (1997) Quart. Appl. Math. , vol.55 , pp. 51-56
    • Chan, C.Y.1    Kong, P.C.2
  • 5
    • 24144467938 scopus 로고    scopus 로고
    • The iimmersed interface method for a reaction diffusion equation with a moving own concentrated source
    • Dimov, I., Lirkov, I., Margenov, S., Zlatev Z. (eds.): Numerical Methods and Applications. Springer-Verlag, Berlin Heidelberg New York
    • Kandilarov, J.D.: The Iimmersed Interface Method for a Reaction Diffusion Equation with a Moving Own Concentrated Source. In: Dimov, I., Lirkov, I., Margenov, S., Zlatev Z. (eds.): Numerical Methods and Applications. Lect. Notes in Comp. Science, Vol. 2542. Springer-Verlag, Berlin Heidelberg New York (2003) 506-513
    • (2003) Lect. Notes in Comp. Science , vol.2542 , pp. 506-513
    • Kandilarov, J.D.1
  • 6
    • 33645623546 scopus 로고    scopus 로고
    • Immersed-boundary level set approach for numerical solution of elliptic interface problems
    • Kandilarov, J.D.: Immersed-Boundary Level Set Approach for Numerical Solution of Elliptic Interface Problems. Lect. Not. in Comp. Sci., Vol. 2907. (2004) 456-464
    • (2004) Lect. Not. in Comp. Sci. , vol.2907 , pp. 456-464
    • Kandilarov, J.D.1
  • 7
    • 33645627991 scopus 로고    scopus 로고
    • The immersed interface method for a nonlinear chemical diffusion equation with local sites of reactions
    • to appear
    • Kandilarov, J., Vulkov, L.: The Immersed Interface Method for a Nonlinear Chemical Diffusion Equation with Local Sites of Reactions. Numer. Alg. (to appear)
    • Numer. Alg
    • Kandilarov, J.1    Vulkov, L.2
  • 8
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • Leveque, R.J., Li, Z.: The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources. SIAM J. Numer. Anal. 31 (1994) 1019-1044
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1019-1044
    • Leveque, R.J.1    Li, Z.2
  • 10
    • 24144501382 scopus 로고
    • An analysis of the effect of defect structures on catalytic surfaces by the boundary element technique
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    • (1988) Surface Science , vol.202 , pp. 1-31
    • Pierce, A.P.1    Rabitz, H.2
  • 11
    • 18644366937 scopus 로고    scopus 로고
    • Construction and implementation of finite-difference schemes for systems of diffusion equations with localized nonlinear chemical reactions
    • Vulkov, L.G., Kandilarov, J.D.: Construction and Implementation of Finite-Difference Schemes for Systems of Diffusion Equations with Localized Nonlinear Chemical Reactions. Comp. Math. Math. Phys. 40 (2000) 705-717
    • (2000) Comp. Math. Math. Phys. , vol.40 , pp. 705-717
    • Vulkov, L.G.1    Kandilarov, J.D.2
  • 12
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    • The eexplicit jump immersed interface method: Finite difference methods for PDE with piecewise smoth solutions
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.