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Volumn 97, Issue 1, 2008, Pages 40-53

Numerical simulation of a stroke: Computational problems and methodology

Author keywords

Numerical methods; Partial differential equations; Reaction diffusion

Indexed keywords


EID: 43049176326     PISSN: 00796107     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pbiomolbio.2007.10.003     Document Type: Review
Times cited : (9)

References (16)
  • 1
    • 0033439131 scopus 로고    scopus 로고
    • Implicit–explicit multistep methods for quasilinear parabolic equations
    • G. Akrivis M. Crouzeix C. Makridakis Implicit–explicit multistep methods for quasilinear parabolic equations Numer. Math. 82 4 1999 521 541
    • (1999) Numer. Math. , vol.82 , Issue.4 , pp. 521-541
    • Akrivis, G.1    Crouzeix, M.2    Makridakis, C.3
  • 3
    • 0035617644 scopus 로고    scopus 로고
    • Convergence of a splitting method of high order for reaction–diffusion systems
    • S. Descombes Convergence of a splitting method of high order for reaction–diffusion systems Math. Comput. 70 236 2001 1481 1501 (electronic)
    • (2001) Math. Comput. , vol.70 , Issue.236 , pp. 1481-1501
    • Descombes, S.1
  • 4
    • 3142652006 scopus 로고    scopus 로고
    • Operator splitting for nonlinear reaction–diffusion systems with an entropic structure: singular perturbation and order reduction
    • S. Descombes M. Massot Operator splitting for nonlinear reaction–diffusion systems with an entropic structure: singular perturbation and order reduction Numer. Math. 97 4 2004 667 698
    • (2004) Numer. Math. , vol.97 , Issue.4 , pp. 667-698
    • Descombes, S.1    Massot, M.2
  • 5
    • 43049157401 scopus 로고    scopus 로고
    • Operator splitting for stiff nonlinear reaction–diffusion systems: order reduction and application to spiral waves
    • S. Descombes T. Dumont M. Massot Operator splitting for stiff nonlinear reaction–diffusion systems: order reduction and application to spiral waves Patterns and waves (Saint Petersburg, 2002) 2003 AkademPrint, St. Petersburg 386 482
    • (2003) , pp. 386-482
    • Descombes, S.1    Dumont, T.2    Massot, M.3
  • 6
    • 85120236242 scopus 로고    scopus 로고
    • Dronne, M.-A., Boissel, J.-P., Grenier, E., 2006. A mathematical model of ion movements in grey matter during a stroke. J. Theor. Biol.
  • 8
    • 85120213903 scopus 로고    scopus 로고
  • 9
    • 85120229976 scopus 로고    scopus 로고
    • Hairer, E., Wanner, G., 1996. Solving ordinary differential equations. II. Stiff and differential-algebraic problems. second ed. Springer Series in Computational Mathematics, vol. 14. Springer, Berlin.
  • 10
    • 33750921263 scopus 로고    scopus 로고
    • Absorbing boundary conditions and optimized Schwarz waveform relaxation
    • L. Halpern Absorbing boundary conditions and optimized Schwarz waveform relaxation BIT 46 Suppl. 2006 S21 S34
    • (2006) BIT , vol.46 , Issue.Suppl. , pp. S21-S34
    • Halpern, L.1
  • 11
    • 70350504025 scopus 로고
    • Splitting and alternating direction methods
    • G.I. Marchuk Splitting and alternating direction methods Handbook of Numerical Analysis vol. I 1990 North-Holland Amsterdam 197 462
    • (1990) , pp. 197-462
    • Marchuk, G.I.1
  • 12
    • 85120236455 scopus 로고    scopus 로고
    • Murray, J.D., 2002. Mathematical biology. I. An introduction. third ed. Interdisciplinary Applied Mathematics, vol. 17. Springer, New York.
  • 13
    • 85120195503 scopus 로고    scopus 로고
    • Murray, J.D., 2003. Mathematical biology. II. Spatial models and biomedical applications. third ed. Interdisciplinary Applied Mathematics, vol. 18. Springer, New York.
  • 14
    • 13644275090 scopus 로고    scopus 로고
    • Stability of operator splitting methods for systems with indefinite operators: reaction–diffusion systems
    • D.L. Ropp J.N. Shadid Stability of operator splitting methods for systems with indefinite operators: reaction–diffusion systems J. Comput. Phys. 203 2 2005 449 466
    • (2005) J. Comput. Phys. , vol.203 , Issue.2 , pp. 449-466
    • Ropp, D.L.1    Shadid, J.N.2
  • 15
    • 0035084874 scopus 로고    scopus 로고
    • Osmotic forces and gap junctions in spreading depression: a computational model
    • B. Shapiro Osmotic forces and gap junctions in spreading depression: a computational model J. Comput. Neurosci. 10 2001 877 896
    • (2001) J. Comput. Neurosci. , vol.10 , pp. 877-896
    • Shapiro, B.1
  • 16
    • 0001518684 scopus 로고
    • On the construction and comparison of difference schemes
    • G. Strang On the construction and comparison of difference schemes SIAM J. Numer. Anal. 5 1968 506 517
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 506-517
    • Strang, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.