메뉴 건너뛰기




Volumn 183, Issue 2, 2005, Pages 245-258

A MATLAB implementation of upwind finite differences and adaptive grids in the method of lines

Author keywords

Catalytic combustion; Flame propagation; Grid refinement; Korteweg de Vries equation; Moving grid; Partial differential equations

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 23044483280     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2004.12.030     Document Type: Article
Times cited : (24)

References (18)
  • 1
    • 0011240668 scopus 로고
    • Developments in NAG library software for parabolic equations
    • J.C. Mason (Ed.), Chapman & Hall London
    • M. Berzins, Developments in NAG library software for parabolic equations, in: J.C. Mason (Ed.), Scientific Software Systems 1989 Chapman & Hall London
    • (1989) Scientific Software Systems
    • Berzins, M.1
  • 2
    • 0028443125 scopus 로고
    • Algorithm 731: A moving-grid interface for systems of one-dimensional time-dependent partial differential equations
    • J.G. Blom, P.A. Zegeling, Algorithm 731: A moving-grid interface for systems of one-dimensional time-dependent partial differential equations, ACM Trans. Math. Software 20 (1994) 194-214.
    • (1994) ACM Trans. Math. Software , vol.20 , pp. 194-214
    • Blom, J.G.1    Zegeling, P.A.2
  • 3
    • 0039836636 scopus 로고
    • Numerical modeling of unsteady flame propagation
    • Sandia National Laboratory Livermore Report SAND77-8275
    • H.A. Dwyer, B.R. Sanders, Numerical modeling of unsteady flame propagation, Sandia National Laboratory Livermore Report SAND77-8275, 1978.
    • (1978)
    • Dwyer, H.A.1    Sanders, B.R.2
  • 4
    • 0024122984 scopus 로고
    • Catalytic combustion with periodic flow reversal
    • G. Eigenberger, C. Nieken, Catalytic combustion with periodic flow reversal Chem. Eng. Sci. 43 (1988) 2109-2115.
    • (1988) Chem. Eng. Sci. , vol.43 , pp. 2109-2115
    • Eigenberger, G.1    Nieken, C.2
  • 5
    • 0032166374 scopus 로고    scopus 로고
    • Calculation of weights in finite difference formulas
    • B. Fornberg, Calculation of weights in finite difference formulas, SIAM Rev. 40 (1998) 685-691.
    • (1998) SIAM Rev. , vol.40 , pp. 685-691
    • Fornberg, B.1
  • 7
    • 0001524186 scopus 로고
    • On the change of form of long waves advancing in a rectangular canal and on a new type of long stationary waves
    • D.J. Korteweg G. de Vries On the change of form of long waves advancing in a rectangular canal and on a new type of long stationary waves Philos. Mag. 39 (1895) 422-443.
    • (1895) Philos. Mag. , vol.39 , pp. 422-443
    • Korteweg, D.J.1    de Vries, G.2
  • 8
    • 0028384799 scopus 로고
    • New NAG library software for first-order systems of time-dependent PDEs
    • S.V. Pennington M. Berzins New NAG library software for first-order systems of time-dependent PDEs ACM Trans. Math. Software 20 (1994) 63.
    • (1994) ACM Trans. Math. Software , vol.20 , pp. 63
    • Pennington, S.V.1    Berzins, M.2
  • 10
    • 0030588006 scopus 로고    scopus 로고
    • Some observations on a static spatial remeshing method based on equidistribution principles
    • P. Saucez A. Vande Wouwer W.E. Schiesser Some observations on a static spatial remeshing method based on equidistribution principles J. Comput. Phys. 128 (1996) 274-288.
    • (1996) J. Comput. Phys. , vol.128 , pp. 274-288
    • Saucez, P.1    Vande Wouwer, A.2    Schiesser, W.E.3
  • 11
    • 23044445841 scopus 로고    scopus 로고
    • Adaptive mesh computations for the extended fifth-order Korteweg-de Vries equation
    • this issue, doi:10.1016/j.cam.2004.12.028
    • P. Saucez, A. Vande Wouwer, P. Zegeling, Adaptive mesh computations for the extended fifth-order Korteweg-de Vries equation, J. Comput. Appl. Math. this issue, doi:10.1016/j.cam.2004.12.028.
    • J. Comput. Appl. Math.
    • Saucez, P.1    Vande Wouwer, A.2    Zegeling, P.3
  • 13
    • 3042778666 scopus 로고    scopus 로고
    • Solving ODEs with MATLAB
    • Cambridge: Cambridge University Press
    • L.F. Shampine I. Gladwell S. Thompson Solving ODEs with MATLAB 2003 Cambridge University Press Cambridge
    • (2003)
    • Shampine, L.F.1    Gladwell, I.2    Thompson, S.3
  • 16
    • 3042826219 scopus 로고    scopus 로고
    • Simulation of distributed parameter systems using a MATLAB-based method of lines toolbox - Chemical engineering applications
    • A. Vande Wouwer Ph. Saucez W.E. Schiesser Simulation of distributed parameter systems using a MATLAB-based method of lines toolbox - Chemical engineering applications Ind. Eng. Chem. Res. 43 (2004) 3469-3477
    • (2004) Ind. Eng. Chem. Res. , vol.43 , pp. 3469-3477
    • Vande Wouwer, A.1    Saucez, Ph.2    Schiesser, W.E.3
  • 17
    • 0004456294 scopus 로고
    • A moving-grid method for one-dimensional PDEs based on the method of lines
    • J.E. Flaherty, P.J. Paslow, M.S. Shephard, J.D. Vasilakis (Eds.), SIAM Philadelphia
    • J.G. Verwer J.G. Blom R.M. Furzeland P.A. Zegeling A moving-grid method for one-dimensional PDEs based on the method of lines, in: J.E. Flaherty, P.J. Paslow, M.S. Shephard, J.D. Vasilakis (Eds.), Adaptive Methods for Partial Differential Equations 1989 SIAM Philadelphia pp. 160-175.
    • (1989) Adaptive Methods for Partial Differential Equations , pp. 160-175
    • Verwer, J.G.1    Blom, J.G.2    Furzeland, R.M.3    Zegeling, P.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.