메뉴 건너뛰기




Volumn 20, Issue 2, 1996, Pages 131-145

A wavelet-Galerkin method for solving population balance equations

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTION EVALUATION; MATHEMATICAL MODELS; NUMERICAL METHODS; PARTICLES (PARTICULATE MATTER); POROUS MATERIALS; WAVELET TRANSFORMS;

EID: 0030086888     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/0098-1354(94)00010-L     Document Type: Article
Times cited : (45)

References (30)
  • 1
    • 0000417416 scopus 로고
    • A wavelet based space-time numerical method for partial differential equations
    • Bacry E., S. Mallat and G. Papanicolaou, A wavelet based space-time numerical method for partial differential equations. Math. mod. Num. Anal. 26, 793-834 (1992).
    • (1992) Math. Mod. Num. Anal. , vol.26 , pp. 793-834
    • Bacry, E.1    Mallat, S.2    Papanicolaou, G.3
  • 3
    • 0043068725 scopus 로고
    • Wavelet based approximation in the optimal control of distributed parameter systems
    • Brislawn C. and I. G. Rosen, Wavelet based approximation in the optimal control of distributed parameter systems. Num. Function Anal. Optim. 12, 33-77 (1991).
    • (1991) Num. Function Anal. Optim. , vol.12 , pp. 33-77
    • Brislawn, C.1    Rosen, I.G.2
  • 4
    • 0021168870 scopus 로고
    • Shifted Legendre function approximation of differential equations; application to crystallization processes
    • Chang R. Y. and M. L. Wang, Shifted Legendre function approximation of differential equations; application to crystallization processes. Comput. chem. Engng 8, 117-125 (1984).
    • (1984) Comput. Chem. Engng , vol.8 , pp. 117-125
    • Chang, R.Y.1    Wang, M.L.2
  • 6
    • 0019589819 scopus 로고
    • Block pulse series analysis of scaled systems
    • Chen W. L., Block pulse series analysis of scaled systems. Int. J. Syst. Sci. 12, 885-891 (1981).
    • (1981) Int. J. Syst. Sci. , vol.12 , pp. 885-891
    • Chen, W.L.1
  • 9
    • 0027840161 scopus 로고
    • Wavelets on the interval and fast wavelet transform
    • Cohen A., Wavelets on the interval and fast wavelet transform. Appl. Computat. Harm. Anal. 1, 54-81 (1993).
    • (1993) Appl. Computat. Harm. Anal. , vol.1 , pp. 54-81
    • Cohen, A.1
  • 10
    • 0027574359 scopus 로고
    • Using the refinement equation for evaluating integrals of wavelets
    • Dahmen W. and C. A. Micchelli, Using the refinement equation for evaluating integrals of wavelets. SIAM J. Numer. Anal. 30, 507-537 (1993).
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 507-537
    • Dahmen, W.1    Micchelli, C.A.2
  • 11
    • 84990575058 scopus 로고
    • Orthonormal bases of compactly supported wavelets
    • Daubechies I., Orthonormal bases of compactly supported wavelets. Commun. Pure Appl. Math. 41, 909-996 (1988).
    • (1988) Commun. Pure Appl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 14
    • 0020827898 scopus 로고
    • Solution of a functional differential equation via delayed unit step functions
    • Hwang C., Solution of a functional differential equation via delayed unit step functions. Int. J. Syst. Sci. 14, 1065-1073 (1983).
    • (1983) Int. J. Syst. Sci. , vol.14 , pp. 1065-1073
    • Hwang, C.1
  • 15
    • 0021513279 scopus 로고
    • Solution of a scaled system via Chebyshev polynomials
    • Hwang C., Solution of a scaled system via Chebyshev polynomials. J. Franklin Inst. 318, 232-241 (1984).
    • (1984) J. Franklin Inst. , vol.318 , pp. 232-241
    • Hwang, C.1
  • 16
    • 38249043557 scopus 로고
    • Solution of a scaled system by shifted Legendre series representation
    • Hwang C. and M. Y. Chen, Solution of a scaled system by shifted Legendre series representation. Comput. Electr. Engng 12, 13-22 (1986).
    • (1986) Comput. Electr. Engng , vol.12 , pp. 13-22
    • Hwang, C.1    Chen, M.Y.2
  • 17
    • 0343956424 scopus 로고
    • Solutions of population balance equations via block pulse functions
    • Hwang C. and Y. P. Shih, Solutions of population balance equations via block pulse functions. J. Chem. Engng 25, 39-45 (1982a).
    • (1982) J. Chem. Engng , vol.25 , pp. 39-45
    • Hwang, C.1    Shih, Y.P.2
  • 18
    • 0020154944 scopus 로고
    • Laguerre series solution of a functional differential equation
    • Hwang C. and Y. P. Shih, Laguerre series solution of a functional differential equation. Int. J. Syst. Sci. 13, 783-788 (1982b).
    • (1982) Int. J. Syst. Sci. , vol.13 , pp. 783-788
    • Hwang, C.1    Shih, Y.P.2
  • 19
    • 50549203562 scopus 로고
    • Some problems in particle technology: A statistical mechanical formulation
    • Hulbert H. M. and S. Katz, Some problems in particle technology: a statistical mechanical formulation. Chem. Engng Sci. 19, 555-574 (1964).
    • (1964) Chem. Engng Sci. , vol.19 , pp. 555-574
    • Hulbert, H.M.1    Katz, S.2
  • 21
    • 28144438571 scopus 로고
    • Wavelets and the numerical solution of partial differential equations
    • Qian S. and J. Weiss, Wavelets and the numerical solution of partial differential equations. J. Comput. Phys. 106, 155-175 (1993).
    • (1993) J. Comput. Phys. , vol.106 , pp. 155-175
    • Qian, S.1    Weiss, J.2
  • 22
    • 0002722677 scopus 로고
    • Effect of crystal breakage on crystal size distribution in a mixed suspension crystallizer
    • Randolph A. D., Effect of crystal breakage on crystal size distribution in a mixed suspension crystallizer. I&EC Fund. 8, 58-63 (1969).
    • (1969) I&EC Fund. , vol.8 , pp. 58-63
    • Randolph, A.D.1
  • 24
    • 0020091225 scopus 로고
    • Walsh stretch matrices and functional differential equations
    • Rao G. P. and K. R. Palanisamy, Walsh stretch matrices and functional differential equations. IEEE Trans. Autom. Contr. 27, 272-275 (1982).
    • (1982) IEEE Trans. Autom. Contr. , vol.27 , pp. 272-275
    • Rao, G.P.1    Palanisamy, K.R.2
  • 25
    • 0042067131 scopus 로고
    • Compactly supported wavelets and the solution of partial differential equations
    • Aware, Inc., Cambridge, U.S.A.
    • Resnikoff H. L., Compactly supported wavelets and the solution of partial differential equations. Tech. Rep. AD890926, Aware, Inc., Cambridge, U.S.A., pp. 1-9 (1989).
    • (1989) Tech. Rep. AD890926 , pp. 1-9
    • Resnikoff, H.L.1
  • 27
    • 0027084385 scopus 로고
    • Analysis and parameter identification of scaled systems via exponential Fourier series
    • Samavat M. and M. A. Vali, Analysis and parameter identification of scaled systems via exponential Fourier series. Proc. Am. Contr. Conf., pp. 3186-3190 (1992).
    • (1992) Proc. Am. Contr. Conf. , pp. 3186-3190
    • Samavat, M.1    Vali, M.A.2
  • 28
    • 0017417634 scopus 로고
    • Solution of population balance equations by MWR
    • Singh P. N. and D. Ramkrishna, Solution of population balance equations by MWR. Comput. chem. Engng 1, 23-31 (1977).
    • (1977) Comput. Chem. Engng , vol.1 , pp. 23-31
    • Singh, P.N.1    Ramkrishna, D.2
  • 29
    • 0024921922 scopus 로고
    • Wavelets and dilation equations: A brief introduction
    • Strang G., Wavelets and dilation equations: a brief introduction. SIAM Review 31, 614-627 (1989).
    • (1989) SIAM Review , vol.31 , pp. 614-627
    • Strang, G.1
  • 30
    • 0025573398 scopus 로고
    • A moving finite element method for the population balance equation
    • Tsang T. H. and A. Rao, A moving finite element method for the population balance equation. Int. J. Numer. Meth. Fluids 10, 753-769 (1990).
    • (1990) Int. J. Numer. Meth. Fluids , vol.10 , pp. 753-769
    • Tsang, T.H.1    Rao, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.