14 Numerical Methods for Coupled Population Balance Systems …
517
39. John, V., Schmeyer, E.: Finite element methods for time-dependent convection-diffusionreaction equations with small diffusion. Comput. Methods Appl. Mech. Engrg. 198(3–4),
475–494 (2008)
40. John, V., Suciu, C.: Direct discretizations of bi-variate population balance systems with finite
difference schemes of different order. Chem. Eng. Sci. 106, 39–52 (2014)
41. John, V., Thein, F.: On the efficiency and robustness of the core routine of the quadrature
method of moments (QMOM). Chem. Eng. Sci. 75, 327–333 (2012)
42. Kuzmin, D.: Explicit and implicit FEM-FCT algorithms with flux linearization. J. Comput.
Phys. 228(7), 2517–2534 (2009)
43. Kuzmin, D., Möller, M.: Algebraic flux correction. I. Scalar conservation laws. In: Fluxcorrected transport, Sci. Comput., pp. 155–206. Springer, Berlin (2005)
44. Lewis, A., Seckler, M., Kramer, H., van Rosmalen, G.: Fundamentals and Applications. Cambridge University Press, Industrial Crystallization (2015)
45. Liu, X.-D., Osher, S., Chan, T.: Weighted essentially non-oscillatory schemes. J. Comput. Phys.
115(1), 200–212 (1994)
46. Löhner, R., Morgan, K., Peraire, J., Vahdati, M.: Finite element flux-corrected transport (FEMFCT) for the Euler and Navier-Stokes equations. Int. J. Numer. Methods Fluids 7, 1093–1109
(1987)
47. Marchisio, D.L., Fox, R.O.: Solution of population balance equations using the direct quadrature method of moments. J. Aerosol Sci. 36(1), 43–73 (2005)
48. Marchisio, D.L., Dennis Vigil, R., Fox, R.O.: Quadrature method of moments for aggregationbreakage processes. J. Colloid Interf. Sci. 258(2), 322–334 (2003)
49. McGraw, R.: Description of aerosol dynamics by the quadrature method of moments. Aerosol
Sci. Technol. 27(2), 255–265 (1997)
50. Nussbaumer, H.J.: Fast Fourier Transform and Convolution Algorithms. Springer, Berlin (1982)
51. Ochsenbein, D.R., Vetter, T., Morari, M., Mazzotti, M.: Agglomeration of needle-like crystals
in suspension. II. Modeling. Crystal Growth Des. 15(9), 4296–4310 (2015)
52. Patterson, R.I.A., Wagner, W.: A stochastic weighted particle method for coagulation-advection
problems. SIAM J. Sci. Comput. 34(3), B290–B311 (2012)
53. Patterson, R.I.A., Wagner, W., Kraft, M.: Stochastic weighted particle methods for population
balance equations. J. Comput. Phys. 230(19), 7456–7472 (2011)
54. Pope, S.B.: Turbulent Flows. Cambridge University Press, Cambridge (2000)
55. Roos, H.-G., Stynes, M., Tobiska, L.: Robust numerical methods for singularly perturbed differential equations, volume 24 of Springer Series in Computational Mathematics. ConvectionDiffusion-Reaction and Flow Problems, 2nd edn. Springer, Berlin (2008)
56. Shahmuradyan, L., Le Borne, S.: Algorithms for the Haar wavelet based fast evaluation of
aggregation integrals in population balance equations. Appl. Numer. Math. 108, 1–20 (2016)
57. Shahmuradyan, L., Le Borne, S.: Fast algorithms for hp-discretized univariate population balance aggregation integrals. Comput. Chem. Eng. 97, 1–12 (2017)
58. Sagaut, P.: Large eddy simulation for incompressible flows. In: Scientific Computation, 3rd edn.
Springer, Berlin. An introduction, Translated from the 1998 French original. With forewords
by Lesieur, M., Germano, M. With a foreword by Meneveau, C. (2006)
59. Scharfetter, D.L., Gummel, H.K.: Large signal analysis of a silicon read diode. IEEE Trans.
Elec. Dev. 16, 64–77 (1969)
60. Schmeyer, E., Bordás, R., Thévenin, D., John, V.: Numerical simulations and measurements
of a droplet size distribution in a turbulent vortex street. Meteorologische Zeitschrift 23(4),
387–396 (2014)
61. Schorsch, S., Hours, J.-H., Vetter, T., Mazzotti, M., Jones, C.N.: An optimization-based
approach to extract faceted crystal shapes from stereoscopic images. Comput. Chem. Eng.
75, 171–183 (2015)
62. Shahmuradyan, L.: Efficient and accurate evaluation of aggregation integrals in population
balance equations. Ph.D. Thesis, Hamburg University of Technology, Institute of Mathematics
(2016)
517
39. John, V., Schmeyer, E.: Finite element methods for time-dependent convection-diffusionreaction equations with small diffusion. Comput. Methods Appl. Mech. Engrg. 198(3–4),
475–494 (2008)
40. John, V., Suciu, C.: Direct discretizations of bi-variate population balance systems with finite
difference schemes of different order. Chem. Eng. Sci. 106, 39–52 (2014)
41. John, V., Thein, F.: On the efficiency and robustness of the core routine of the quadrature
method of moments (QMOM). Chem. Eng. Sci. 75, 327–333 (2012)
42. Kuzmin, D.: Explicit and implicit FEM-FCT algorithms with flux linearization. J. Comput.
Phys. 228(7), 2517–2534 (2009)
43. Kuzmin, D., Möller, M.: Algebraic flux correction. I. Scalar conservation laws. In: Fluxcorrected transport, Sci. Comput., pp. 155–206. Springer, Berlin (2005)
44. Lewis, A., Seckler, M., Kramer, H., van Rosmalen, G.: Fundamentals and Applications. Cambridge University Press, Industrial Crystallization (2015)
45. Liu, X.-D., Osher, S., Chan, T.: Weighted essentially non-oscillatory schemes. J. Comput. Phys.
115(1), 200–212 (1994)
46. Löhner, R., Morgan, K., Peraire, J., Vahdati, M.: Finite element flux-corrected transport (FEMFCT) for the Euler and Navier-Stokes equations. Int. J. Numer. Methods Fluids 7, 1093–1109
(1987)
47. Marchisio, D.L., Fox, R.O.: Solution of population balance equations using the direct quadrature method of moments. J. Aerosol Sci. 36(1), 43–73 (2005)
48. Marchisio, D.L., Dennis Vigil, R., Fox, R.O.: Quadrature method of moments for aggregationbreakage processes. J. Colloid Interf. Sci. 258(2), 322–334 (2003)
49. McGraw, R.: Description of aerosol dynamics by the quadrature method of moments. Aerosol
Sci. Technol. 27(2), 255–265 (1997)
50. Nussbaumer, H.J.: Fast Fourier Transform and Convolution Algorithms. Springer, Berlin (1982)
51. Ochsenbein, D.R., Vetter, T., Morari, M., Mazzotti, M.: Agglomeration of needle-like crystals
in suspension. II. Modeling. Crystal Growth Des. 15(9), 4296–4310 (2015)
52. Patterson, R.I.A., Wagner, W.: A stochastic weighted particle method for coagulation-advection
problems. SIAM J. Sci. Comput. 34(3), B290–B311 (2012)
53. Patterson, R.I.A., Wagner, W., Kraft, M.: Stochastic weighted particle methods for population
balance equations. J. Comput. Phys. 230(19), 7456–7472 (2011)
54. Pope, S.B.: Turbulent Flows. Cambridge University Press, Cambridge (2000)
55. Roos, H.-G., Stynes, M., Tobiska, L.: Robust numerical methods for singularly perturbed differential equations, volume 24 of Springer Series in Computational Mathematics. ConvectionDiffusion-Reaction and Flow Problems, 2nd edn. Springer, Berlin (2008)
56. Shahmuradyan, L., Le Borne, S.: Algorithms for the Haar wavelet based fast evaluation of
aggregation integrals in population balance equations. Appl. Numer. Math. 108, 1–20 (2016)
57. Shahmuradyan, L., Le Borne, S.: Fast algorithms for hp-discretized univariate population balance aggregation integrals. Comput. Chem. Eng. 97, 1–12 (2017)
58. Sagaut, P.: Large eddy simulation for incompressible flows. In: Scientific Computation, 3rd edn.
Springer, Berlin. An introduction, Translated from the 1998 French original. With forewords
by Lesieur, M., Germano, M. With a foreword by Meneveau, C. (2006)
59. Scharfetter, D.L., Gummel, H.K.: Large signal analysis of a silicon read diode. IEEE Trans.
Elec. Dev. 16, 64–77 (1969)
60. Schmeyer, E., Bordás, R., Thévenin, D., John, V.: Numerical simulations and measurements
of a droplet size distribution in a turbulent vortex street. Meteorologische Zeitschrift 23(4),
387–396 (2014)
61. Schorsch, S., Hours, J.-H., Vetter, T., Mazzotti, M., Jones, C.N.: An optimization-based
approach to extract faceted crystal shapes from stereoscopic images. Comput. Chem. Eng.
75, 171–183 (2015)
62. Shahmuradyan, L.: Efficient and accurate evaluation of aggregation integrals in population
balance equations. Ph.D. Thesis, Hamburg University of Technology, Institute of Mathematics
(2016)