메뉴 건너뛰기




Volumn 193, Issue 1, 2004, Pages 21-39

Adaptive biorthogonal spline schemes for advection-reaction equations

Author keywords

Adaptive compression; Advection reaction equations; Biorthogonal wavelets; Characteristics methods; Splines; Wavelet decomposition

Indexed keywords

ADVECTION; CONVERGENCE OF NUMERICAL METHODS;

EID: 0344118736     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2003.07.016     Document Type: Article
Times cited : (9)

References (22)
  • 2
    • 0025639748 scopus 로고
    • An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation
    • M.A. Celia, T.F. Russell, I. Herrera, R.E. Ewing, An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation, Adv. Water Resources 13 (1990) 187.
    • (1990) Adv. Water Resources , vol.13 , pp. 187
    • Celia, M.A.1    Russell, T.F.2    Herrera, I.3    Ewing, R.E.4
  • 4
    • 0035606214 scopus 로고    scopus 로고
    • Adaptive wavelet methods for elliptic operator equations: Convergence rates
    • A. Cohen, W. Dahmen, R. DeVore, Adaptive wavelet methods for elliptic operator equations: convergence rates, Math. Comp. 70 (2001) 27.
    • (2001) Math. Comp. , vol.70 , pp. 27
    • Cohen, A.1    Dahmen, W.2    DeVore, R.3
  • 6
    • 0037232599 scopus 로고    scopus 로고
    • Fully adaptive multiresolution finite volume schemes for conservation laws
    • A. Cohen, S.M. Kaber, S. Müller, M. Postel, Fully adaptive multiresolution finite volume schemes for conservation laws, Math. Comp. 72 (2003) 183.
    • (2003) Math. Comp. , vol.72 , pp. 183
    • Cohen, A.1    Kaber, S.M.2    Müller, S.3    Postel, M.4
  • 7
    • 0003908527 scopus 로고
    • Uber die partiellen differenzen-gleichungen der mathematisches physik
    • R. Courant, K.O. Friedrichs, H. Lewy, Uber die partiellen differenzen-gleichungen der mathematisches physik, Mathematische Annalen 100 (1928) 32.
    • (1928) Mathematische Annalen , vol.100 , pp. 32
    • Courant, R.1    Friedrichs, K.O.2    Lewy, H.3
  • 8
    • 84990575058 scopus 로고
    • Orthogonal bases of compactly supported wavelets
    • I. Daubechies, Orthogonal bases of compactly supported wavelets, Commun. Pure Appl. Math. 41 (1988) 909.
    • (1988) Commun. Pure Appl. Math. , vol.41 , pp. 909
    • Daubechies, I.1
  • 10
  • 11
    • 34250967631 scopus 로고
    • Zur theorie der orthogonalen funktionen-systeme
    • A. Haar, Zur theorie der orthogonalen funktionen-systeme, Math. Ann. 69 (1910) 331.
    • (1910) Math. Ann. , vol.69 , pp. 331
    • Haar, A.1
  • 12
    • 0036706434 scopus 로고    scopus 로고
    • Biorthogonal wavelet approximation for the coupling of FEM-BEM
    • H. Harbrecht, F. Paiva, C. Pérez, R. Schneider, Biorthogonal wavelet approximation for the coupling of FEM-BEM, Numer. Math. 92 (2002) 325.
    • (2002) Numer. Math. , vol.92 , pp. 325
    • Harbrecht, H.1    Paiva, F.2    Pérez, C.3    Schneider, R.4
  • 13
    • 84990727055 scopus 로고
    • Multiresolution algorithms for the numerical solution of hyperbolic conservation laws
    • A. Harten, Multiresolution algorithms for the numerical solution of hyperbolic conservation laws, Commun. Pure Appl. Math. 48 (1995) 1305.
    • (1995) Commun. Pure Appl. Math. , vol.48 , pp. 1305
    • Harten, A.1
  • 14
    • 0027623441 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods: The theoretical framework
    • I. Herrera, R.E. Ewing, M.A. Celia, T.F. Russell, Eulerian-Lagrangian localized adjoint methods: the theoretical framework, Numer. Methods PDEs 9 (1993) 431.
    • (1993) Numer. Methods PDEs , vol.9 , pp. 431
    • Herrera, I.1    Ewing, R.E.2    Celia, M.A.3    Russell, T.F.4
  • 19
  • 20
    • 0003286277 scopus 로고    scopus 로고
    • A family of Eulerian-Lagrangian localized adjoint methods for multidimensional advection-reaction equations
    • H. Wang, R.E. Ewing, G. Qin, S.L. Lyons, M. Al-Lawatia, S. Man, A family of Eulerian-Lagrangian localized adjoint methods for multidimensional advection-reaction equations, J. Comput. Phys. 152 (1999) 120.
    • (1999) J. Comput. Phys. , vol.152 , pp. 120
    • Wang, H.1    Ewing, R.E.2    Qin, G.3    Lyons, S.L.4    Al-Lawatia, M.5    Man, S.6
  • 21
    • 77957214696 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis
    • H. Wang, R.E. Ewing, T.F. Russell, Eulerian-Lagrangian localized adjoint methods for convection-diffusion equations and their convergence analysis, IMA J. Numer. Anal. 15 (1995) 405.
    • (1995) IMA J. Numer. Anal. , vol.15 , pp. 405
    • Wang, H.1    Ewing, R.E.2    Russell, T.F.3
  • 22
    • 0036341811 scopus 로고    scopus 로고
    • Development of CFL-free, explicit schemes for multidimensional advection-reaction equations
    • H. Wang, J. Liu, Development of CFL-free, explicit schemes for multidimensional advection-reaction equations, SIAM J. Sci. Comput. 23 (2001) 1418.
    • (2001) SIAM J. Sci. Comput. , vol.23 , pp. 1418
    • Wang, H.1    Liu, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.