메뉴 건너뛰기




Volumn 224, Issue 1, 2007, Pages 3-16

On stabilized integration for time-dependent PDEs

Author keywords

Coupled sound and heat flow; Damped wave equations; Numerical integration; Reactive flow problems; Runge Kutta Chebyshev methods; Stabilized explicit integration

Indexed keywords

HEAT TRANSFER; INTEGRAL EQUATIONS; NUMERICAL METHODS; RUNGE KUTTA METHODS; STABILITY CRITERIA; WAVE EQUATIONS;

EID: 34248206179     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.11.013     Document Type: Article
Times cited : (11)

References (20)
  • 1
    • 0036447606 scopus 로고    scopus 로고
    • Fourth order Chebyshev methods with recurrence relation
    • Abdulle A. Fourth order Chebyshev methods with recurrence relation. SIAM J. Sci. Comput. 23 (2002) 2042-2055
    • (2002) SIAM J. Sci. Comput. , vol.23 , pp. 2042-2055
    • Abdulle, A.1
  • 2
    • 0035540065 scopus 로고    scopus 로고
    • Second order Chebyshev methods based on orthogonal polynomials
    • Abdulle A., and Medovikov A.A. Second order Chebyshev methods based on orthogonal polynomials. Numer. Math. 90 (2001) 1-18
    • (2001) Numer. Math. , vol.90 , pp. 1-18
    • Abdulle, A.1    Medovikov, A.A.2
  • 3
    • 18344397052 scopus 로고    scopus 로고
    • An improved alternating-direction method for a viscous wave equation
    • Douglas Jr. J., Lim S., and Lim H. An improved alternating-direction method for a viscous wave equation. Contemp. Math. 329 (2003) 99-104
    • (2003) Contemp. Math. , vol.329 , pp. 99-104
    • Douglas Jr., J.1    Lim, S.2    Lim, H.3
  • 4
    • 84984018375 scopus 로고
    • On the internal stability of explicit, m-stage Runge-Kutta methods for large m-values
    • van der Houwen P.J., and Sommeijer B.P. On the internal stability of explicit, m-stage Runge-Kutta methods for large m-values. Z. Angew. Math. Mech. 60 (1980) 479-485
    • (1980) Z. Angew. Math. Mech. , vol.60 , pp. 479-485
    • van der Houwen, P.J.1    Sommeijer, B.P.2
  • 6
    • 85053508463 scopus 로고
    • How to solve stiff systems of differential equations by explicit methods
    • Marchuk G.I. (Ed), CRC Press
    • Lebedev V.I. How to solve stiff systems of differential equations by explicit methods. In: Marchuk G.I. (Ed). Numerical Methods and Applications (1994), CRC Press 45-80
    • (1994) Numerical Methods and Applications , pp. 45-80
    • Lebedev, V.I.1
  • 7
    • 3042643160 scopus 로고    scopus 로고
    • Explicit difference schemes for solving stiff problems with a complex or separable spectrum
    • Lebedev V.I. Explicit difference schemes for solving stiff problems with a complex or separable spectrum. Comput. Math. Math. Phys. 40 (2000) 1801-1812
    • (2000) Comput. Math. Math. Phys. , vol.40 , pp. 1801-1812
    • Lebedev, V.I.1
  • 8
    • 33846202566 scopus 로고    scopus 로고
    • Numerical methods for viscous and nonviscous wave equations
    • 10.1016/j.apnum.2006.02.004
    • Lim H., Lim S., and Douglas Jr. J. Numerical methods for viscous and nonviscous wave equations. Appl. Numer. Math. (2006) 10.1016/j.apnum.2006.02.004
    • (2006) Appl. Numer. Math.
    • Lim, H.1    Lim, S.2    Douglas Jr., J.3
  • 9
    • 28844439267 scopus 로고    scopus 로고
    • Modeling low Mach number reacting flow with detailed chemistry and transport
    • Najm H.H., and Knio O.M. Modeling low Mach number reacting flow with detailed chemistry and transport. J. Sci. Comput. 25 (2005) 263-287
    • (2005) J. Sci. Comput. , vol.25 , pp. 263-287
    • Najm, H.H.1    Knio, O.M.2
  • 13
    • 0030283593 scopus 로고    scopus 로고
    • Explicit Runge-Kutta methods for parabolic partial differential equations
    • Verwer J.G. Explicit Runge-Kutta methods for parabolic partial differential equations. Appl. Numer. Math. 22 (1996) 359-379
    • (1996) Appl. Numer. Math. , vol.22 , pp. 359-379
    • Verwer, J.G.1
  • 14
    • 0000335736 scopus 로고
    • Convergence properties of the Runge-Kutta-Chebyshev method
    • Verwer J.G., Hundsdorfer W.H., and Sommeijer B.P. Convergence properties of the Runge-Kutta-Chebyshev method. Numer. Math. 57 (1990) 157-178
    • (1990) Numer. Math. , vol.57 , pp. 157-178
    • Verwer, J.G.1    Hundsdorfer, W.H.2    Sommeijer, B.P.3
  • 15
    • 6344226609 scopus 로고    scopus 로고
    • An implicit-explicit Runge-Kutta-Chebyshev scheme for diffusion-reaction equations
    • Verwer J.G., and Sommeijer B.P. 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
  • 16
    • 13844270723 scopus 로고    scopus 로고
    • RKC time-stepping for advection-diffusion-reaction problems
    • Verwer J.G., Sommeijer B.P., and Hundsdorfer W. RKC time-stepping for advection-diffusion-reaction problems. J. Comput. Phys. 201 (2004) 61-79
    • (2004) J. Comput. Phys. , vol.201 , pp. 61-79
    • Verwer, J.G.1    Sommeijer, B.P.2    Hundsdorfer, W.3
  • 17
    • 0030522589 scopus 로고    scopus 로고
    • von Neumann stability conditions for the convection-diffusion equation
    • Wesseling P. von Neumann stability conditions for the convection-diffusion equation. IMA J. Numer. Anal. 16 (1996) 583-598
    • (1996) IMA J. Numer. Anal. , vol.16 , pp. 583-598
    • Wesseling, P.1
  • 19
    • 0032391614 scopus 로고    scopus 로고
    • On Maxwell's equations in an electromagnetic field with the temperature effect
    • Yin H.-M. On Maxwell's equations in an electromagnetic field with the temperature effect. SIAM J. Math. Anal. 29 (1998) 637-651
    • (1998) SIAM J. Math. Anal. , vol.29 , pp. 637-651
    • Yin, H.-M.1
  • 20
    • 33750711026 scopus 로고    scopus 로고
    • Runge-Kutta-Chebyshev projection method
    • Zheng Z., and Petzold L. Runge-Kutta-Chebyshev projection method. J. Comput. Phys. 219 (2006) 976-991
    • (2006) J. Comput. Phys. , vol.219 , pp. 976-991
    • Zheng, Z.1    Petzold, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.