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Volumn 214, Issue 2, 2006, Pages 521-537

Efficient semi-implicit schemes for stiff systems

Author keywords

Implicit schemes; Morphogen gradients; Reaction diffusion equations

Indexed keywords

DIFFUSION IN LIQUIDS; LINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; SYSTEM STABILITY;

EID: 33644941198     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.09.030     Document Type: Article
Times cited : (111)

References (25)
  • 1
    • 0008283862 scopus 로고
    • Removing the stiffness from interfacial flows with surface tension
    • T.Y. Hou J.S. Lowengrub M.J. Shelley Removing the stiffness from interfacial flows with surface tension J. Comput. Phys. 114 1994 312
    • (1994) J. Comput. Phys. , vol.114 , pp. 312
    • Hou, T.Y.1    Lowengrub, J.S.2    Shelley, M.J.3
  • 2
    • 0031116623 scopus 로고    scopus 로고
    • On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases
    • G. Beylkin J.M. Keiser On the adaptive numerical solution of nonlinear partial differential equations in wavelet bases J. Comput. Phys. 132 1997 233-259
    • (1997) J. Comput. Phys. , vol.132 , pp. 233-259
    • Beylkin, G.1    Keiser, J.M.2
  • 3
    • 0001025210 scopus 로고    scopus 로고
    • A new class of time discretization schemes for the solution of nonlinear PDEs
    • G. Beylkin J.M. Keiser L. Vozovoi A new class of time discretization schemes for the solution of nonlinear PDEs J. Comput. Phys. 147 1998 362-387
    • (1998) J. Comput. Phys. , vol.147 , pp. 362-387
    • Beylkin, G.1    Keiser, J.M.2    Vozovoi, L.3
  • 4
    • 22544474620 scopus 로고    scopus 로고
    • Fourth-order time stepping for stiff PDEs
    • A.-K. Kassam L.N. Trefethen Fourth-order time stepping for stiff PDEs SIAM J. Sci. Comput. 26 4 2005 1214-1233
    • (2005) SIAM J. Sci. Comput. , vol.26 , Issue.4 , pp. 1214-1233
    • Kassam, A.-K.1    Trefethen, L.N.2
  • 5
    • 3042796407 scopus 로고    scopus 로고
    • Stability analysis and applications of the Exponential Time Differencing Schemes
    • Q. Du W. Zhu Stability analysis and applications of the Exponential Time Differencing Schemes J. Comput. Math. 22 2004 200
    • (2004) J. Comput. Math. , vol.22 , pp. 200
    • Du, Q.1    Zhu, W.2
  • 6
    • 27144518174 scopus 로고    scopus 로고
    • Modified exponential time differencing schemes: Analysis and applications
    • Q. Du W. Zhu Modified exponential time differencing schemes: Analysis and applications BIT, Numer. Math. 45 2 2005 307-328
    • (2005) BIT, Numer. Math. , vol.45 , Issue.2 , pp. 307-328
    • Du, Q.1    Zhu, W.2
  • 7
    • 3042796407 scopus 로고    scopus 로고
    • Exponential time differencing schemes for parabolic equations: Stability analysis and applications of the exponential time differencing schemes
    • Q. Du W. Zhu Exponential time differencing schemes for parabolic equations: Stability analysis and applications of the exponential time differencing schemes J. Comput. Math. 22 2004 200-209
    • (2004) J. Comput. Math. , vol.22 , pp. 200-209
    • Du, Q.1    Zhu, W.2
  • 8
    • 0002999776 scopus 로고    scopus 로고
    • Microstructural evolution in orthotropic elastic media
    • P.H. Leo J.S. Lowengrub Qing Nie Microstructural evolution in orthotropic elastic media J. Comput. Phys. 157 2000 44-88
    • (2000) J. Comput. Phys. , vol.157 , pp. 44-88
    • Leo, P.H.1    Lowengrub, J.S.2    Nie, Q.3
  • 9
    • 0036501083 scopus 로고    scopus 로고
    • Exponential time differencing for stiff systems
    • S.M. Cox P.C. Matthews Exponential time differencing for stiff systems J. Comput. Phys. 176 2002 430-455
    • (2002) J. Comput. Phys. , vol.176 , pp. 430-455
    • Cox, S.M.1    Matthews, P.C.2
  • 10
    • 0036080430 scopus 로고    scopus 로고
    • Do Morphogen gradients arise by diffusion?
    • A. Lander Q. Nie F. Wan Do Morphogen gradients arise by diffusion? Dev. Cell 2 2002 785-796
    • (2002) Dev. Cell , vol.2 , pp. 785-796
    • Lander, A.1    Nie, Q.2    Wan, F.3
  • 12
    • 27844489975 scopus 로고    scopus 로고
    • Effects of sog on Dpp-receptor binding
    • Y. Lou Q. Nie F. Wan Effects of sog on Dpp-receptor binding SIAM J. Appl. Math. 66 5 2005 1748-1771
    • (2005) SIAM J. Appl. Math. , vol.66 , Issue.5 , pp. 1748-1771
    • Lou, Y.1    Nie, Q.2    Wan, F.3
  • 15
    • 0037354371 scopus 로고    scopus 로고
    • Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later
    • C. Moler C.V. Loan Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later SIAM Rev. 45 2003 3-49
    • (2003) SIAM Rev. , vol.45 , pp. 3-49
    • Moler, C.1    Loan, C.V.2
  • 16
    • 0000167670 scopus 로고    scopus 로고
    • Microstructural evolution in inhomogeneous elastic media
    • H.J. Jou P.H. Leo J.S. Lowengrub Microstructural evolution in inhomogeneous elastic media J. Comput. Phys. 131 1997 109
    • (1997) J. Comput. Phys. , vol.131 , pp. 109
    • Jou, H.J.1    Leo, P.H.2    Lowengrub, J.S.3
  • 17
    • 28144457683 scopus 로고
    • High order splitting methods for the incompressible Navier-Stokes equations
    • G.E. Karniadakis M. Israeli S.A. Orszag High order splitting methods for the incompressible Navier-Stokes equations J. Comput. Phys. 97 1991 414
    • (1991) J. Comput. Phys. , vol.97 , pp. 414
    • Karniadakis, G.E.1    Israeli, M.2    Orszag, S.A.3
  • 18
    • 0030269186 scopus 로고    scopus 로고
    • Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows
    • Xiaolin Zhong Additive semi-implicit Runge-Kutta methods for computing high-speed nonequilibrium reactive flows J. Comput. Phys. 128 1996 19-31
    • (1996) J. Comput. Phys. , vol.128 , pp. 19-31
    • Zhong, X.1
  • 19
    • 0037216570 scopus 로고    scopus 로고
    • Additive Runge-Kutta schemes for convection-diffusion-reaction equations
    • C.A. Kennedy M.H. Carpenter Additive Runge-Kutta schemes for convection-diffusion-reaction equations Appl. Numer. Math. 44 2003 139-181
    • (2003) Appl. Numer. Math. , vol.44 , pp. 139-181
    • Kennedy, C.A.1    Carpenter, M.H.2
  • 20
    • 85190154949 scopus 로고    scopus 로고
    • Membrane associated non-receptors and morphogen gradients
    • accepted for publication
    • A. Lander, Q. Nie, F. Wan, Membrane associated non-receptors and morphogen gradients, Bull. Math. Biol. (2005), accepted for publication.
    • (2005) Bull. Math. Biol.
    • Lander, A.1    Nie, Q.2    Wan, F.3
  • 21
    • 5044250261 scopus 로고    scopus 로고
    • Spatial regulation of wingless morphogen distribution and signaling by Dally-like protein
    • C.A. Kirkpatrick B.D. Dimitroff J.M. Rawson S.B. Selleck Spatial regulation of wingless morphogen distribution and signaling by Dally-like protein Dev. Cell 7 2004 513-523
    • (2004) Dev. Cell , vol.7 , pp. 513-523
    • Kirkpatrick, C.A.1    Dimitroff, B.D.2    Rawson, J.M.3    Selleck, S.B.4
  • 22
    • 0036111641 scopus 로고    scopus 로고
    • HSPG modification by the secreted enzyme Notum shapes the Wingless morphogen gradient
    • A.J. Giraldez R.R. Copley S.M. Cohen HSPG modification by the secreted enzyme Notum shapes the Wingless morphogen gradient Dev. Cell 2 2002 667-676
    • (2002) Dev. Cell , vol.2 , pp. 667-676
    • Giraldez, A.J.1    Copley, R.R.2    Cohen, S.M.3
  • 23
    • 27844520000 scopus 로고    scopus 로고
    • Spatially distributed morphogen production and morphogen gradient formation
    • A. Lander Q. Nie F. Wan Spatially distributed morphogen production and morphogen gradient formation Math. Biosci. Eng. 2 2 2005 239-262
    • (2005) Math. Biosci. Eng. , vol.2 , Issue.2 , pp. 239-262
    • Lander, A.1    Nie, Q.2    Wan, F.3
  • 24
    • 0034191875 scopus 로고    scopus 로고
    • Proteoglycans and pattern formation - Sugar biochemistry meets developmental genetics
    • S.B. Selleck Proteoglycans and pattern formation - sugar biochemistry meets developmental genetics Trends Genet. 16 5 2000 206-212
    • (2000) Trends Genet. , vol.16 , Issue.5 , pp. 206-212
    • Selleck, S.B.1
  • 25
    • 6344226609 scopus 로고    scopus 로고
    • An implicit-explicit Runge-Kutta-Chebyshev scheme for diffusion-reaction equations
    • J.G. Verwer B.P. Sommeijer An implicit-explicit Runge-Kutta-Chebyshev scheme for diffusion-reaction equations SIAM J. Sci. Comput. 25 2004 1824-1835
    • (2004) SIAM J. Sci. Comput. , vol.25 , pp. 1824-1835
    • Verwer, J.G.1    Sommeijer, B.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.