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Volumn 18, Issue 9, 2008, Pages 1505-1527

Numerical treatment of a nonlinear nonlocal transport equation modeling crystal precipitation

Author keywords

Crystal precipitation; Nonlinear nonlocal transport equations; Nonlocal hyperbolic equations; Ostwald ripening; Partial differential equations singular at the boundary; Semi implicit methods; Shannon sampling

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); DISTRIBUTION FUNCTIONS; GRAIN SIZE AND SHAPE; INFORMATION THEORY; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; POWDERS; SOLUTIONS; TERNARY SYSTEMS;

EID: 52949145699     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021820250800311X     Document Type: Article
Times cited : (5)

References (15)
  • 1
    • 0024036940 scopus 로고
    • Crystallization mechanisms in solution
    • R. Boistelle and J. P. Astier, Crystallization mechanisms in solution, J. Crystal Growth 90 (1988) 14-30.
    • (1988) J. Crystal Growth , vol.90 , pp. 14-30
    • Boistelle, R.1    Astier, J.P.2
  • 2
    • 0345872012 scopus 로고    scopus 로고
    • A numerical study on large-time asymptotics of the Lifshitz-Slyozov system
    • J. A. Carrillo and T. Goudon, A numerical study on large-time asymptotics of the Lifshitz-Slyozov system, J. Sci. Comput. 20 (2004) 69-113.
    • (2004) J. Sci. Comput , vol.20 , pp. 69-113
    • Carrillo, J.A.1    Goudon, T.2
  • 3
    • 2342482466 scopus 로고    scopus 로고
    • Numerical approximation of the Lifshitz-Slyozov-Wagner equation
    • F. Filbet and P. Laurençot, Numerical approximation of the Lifshitz-Slyozov-Wagner equation, SIAM J. Numer. Anal. 41 (2003) 563-588.
    • (2003) SIAM J. Numer. Anal , vol.41 , pp. 563-588
    • Filbet, F.1    Laurençot, P.2
  • 4
    • 52949117899 scopus 로고    scopus 로고
    • A. Friedman, Mathematics in Industrial Problems, IMA Vols. Math. Appl., 16 (Springer, New York, 1988), Chap. 4.
    • A. Friedman, Mathematics in Industrial Problems, IMA Vols. Math. Appl., Vol. 16 (Springer, New York, 1988), Chap. 4.
  • 5
    • 38249022531 scopus 로고
    • A model of crystal precipitation
    • A. Friedman and B. Ou, A model of crystal precipitation, J. Math. Anal. Appl. 137 (1989) 550-575.
    • (1989) J. Math. Anal. Appl , vol.137 , pp. 550-575
    • Friedman, A.1    Ou, B.2
  • 6
    • 38249022047 scopus 로고
    • Crystal precipitation with discrete initial data
    • A. Friedman, B. Ou and D. Ross, Crystal precipitation with discrete initial data, J. Math. Anal. Appl. 137 (1989) 576-590.
    • (1989) J. Math. Anal. Appl , vol.137 , pp. 576-590
    • Friedman, A.1    Ou, B.2    Ross, D.3
  • 8
    • 0034268765 scopus 로고    scopus 로고
    • Orthogonal sampling formulas: A unified approach
    • A. G. Garcia, Orthogonal sampling formulas: A unified approach, SIAM Rev. 42 (2000) 499-512.
    • (2000) SIAM Rev , vol.42 , pp. 499-512
    • Garcia, A.G.1
  • 9
    • 0017558676 scopus 로고
    • The Shannon sampling theorem - its various extensions and applications: A tutorial review
    • A. J. Jerri, The Shannon sampling theorem - its various extensions and applications: A tutorial review, Proc. IEEE 65 (1977) 1565-1596.
    • (1977) Proc. IEEE , vol.65 , pp. 1565-1596
    • Jerri, A.J.1
  • 10
    • 0023842929 scopus 로고
    • Band-limited interpolation from unevenly spaced sampled data
    • M. Soumek, Band-limited interpolation from unevenly spaced sampled data, IEEE Trans. Acoustics Signal Process. 36 (1988) 110-122.
    • (1988) IEEE Trans. Acoustics Signal Process , vol.36 , pp. 110-122
    • Soumek, M.1
  • 11
    • 0000169488 scopus 로고
    • A simple method for monotonie interpolation in one dimension
    • M. Steffen, A simple method for monotonie interpolation in one dimension, Astron. Astrophys. 239 (1990) 443-450.
    • (1990) Astron. Astrophys , vol.239 , pp. 443-450
    • Steffen, M.1
  • 12
    • 0000140399 scopus 로고
    • Numerical methods based on Whit taker cardinal, or sine functions
    • F. Stenger, Numerical methods based on Whit taker cardinal, or sine functions, SIAM Rev. 23 (1981) 165-224.
    • (1981) SIAM Rev , vol.23 , pp. 165-224
    • Stenger, F.1
  • 13
    • 0023167529 scopus 로고
    • Simulation of Ostwald ripening in a reactive batch crystallizer
    • N. S. Tavare, Simulation of Ostwald ripening in a reactive batch crystallizer, Amer. Inst. Chem Engrg. J. 33 (1987) 152-156.
    • (1987) Amer. Inst. Chem Engrg. J , vol.33 , pp. 152-156
    • Tavare, N.S.1
  • 14
    • 33646420349 scopus 로고    scopus 로고
    • On the dynamics of the characteristic curves for the LSW model
    • J. J. L. Velásquez, On the dynamics of the characteristic curves for the LSW model, Electron. J. Diff. Eqns. 2006 (2006) 1-51.
    • (2006) Electron. J. Diff. Eqns , vol.2006 , pp. 1-51
    • Velásquez, J.J.L.1
  • 15
    • 85020241027 scopus 로고    scopus 로고
    • G. Wolberg and I. Alfy, Monotonic cubic spline interpolation, Computer Graphics Int., 1999, IEEE Proc., 7-11 June 1999, pp. 188-195.
    • G. Wolberg and I. Alfy, Monotonic cubic spline interpolation, Computer Graphics Int., 1999, IEEE Proc., 7-11 June 1999, pp. 188-195.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.