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17. Bramley, A.S., Hounslow, M.J., Ryall, R.L.: Aggregation during precipitation from solution:
a method for extracting rates from experimental data. J. Colloid Interf. Sci. 183(1), 155–165
(1996)
18. Buffo, A., Vanni, M., Marchisio, D.L., Fox, R.O.: Multivariate quadrature-based moments
methods for turbulent polydisperse gas-liquid systems. Int. J. Multiphase Flow 50, 41–57
(2013)
19. Chakraborty, J., Kumar, J., Singh, M., Mahoney, A., Ramkrishna, D.: Inverse problems in
population balances. Determination of aggregation kernel by weighted residuals. Ind. Eng.
Chem. Res. 54(42), 10530–10538 (2015)
20. Cooley, J.W., Tukey, J.W.: An algorithm for the machine calculation of complex Fourier series.
Math. Comput. 19(90), 297–297 (1965)
21. Dosta, M., Hartge, E.-U., Ahrens, R., Heinrich, S., Le Borne, S.: Investigation of an FFT-based
solver applied to dynamic flowsheet simulation of agglomeration processes. Adv. Powder
Technol. 30, 555–564 (2019)
22. Eisenschmidt, H., Soumaya, M., Bajcinca, N., Le Borne, S., Sundmacher, K.: Estimation of
aggregation kernels based on Laurent polynomial approximation. Comput. Chem. Eng. 103,
210–217 (2017)
23. Ferreira, T., Rasband, Wayne: ImageJ User GuideIJ 1, 46r (2012)
24. Ganesan, S., John, V., Matthies, G., Meesala, R., Abdus, S., Wilbrandt, U.: An object oriented
parallel finite element scheme for computing PDEs: design and implementation. In: IEEE 23rd
International Conference on High Performance Computing Workshops (HiPCW) Hyderabad,
pp. 106–115. IEEE (2016)
25. Ganesan, S.: An operator-splitting Galerkin/SUPG finite element method for population balance equations: stability and convergence. ESAIM Math. Model. Numer. Anal. 46(6), 1447–
1465 (2012)
26. Ganesan, S., Tobiska, L.: An operator-splitting finite element method for the efficient parallel
solution of multidimensional population balance systems. Chem. Eng. Sci. 69(1), 59–68 (2012)
27. Ganesan, S., Tobiska, L.: Operator-splitting finite element algorithms for computations of
high-dimensional parabolic problems. Appl. Math. Comput. 219(11), 6182–6196 (2013)
28. Gillespie, D.T.: The stochastic coalescence model for cloud droplet growth. J. Atmos. Sci.
29(8), 1496–1510 (1972)
29. Gillespie, D.T.: An exact method for numerically simulating the stochastic coalescence process
in a cloud. J. Atmos. Sci. 32(10), 1977–1989 (1975)
30. Hackbusch, W.: On the efficient evaluation of coalescence integrals in population balance
models. Computing 78(2), 145–159 (2006)
31. Hackbusch, W., John, V., Khachatryan, A., Suciu, C.: A numerical method for the simulation
of an aggregation-driven population balance system. Int. J. Numer. Methods Fluids 69(10),
1646–1660 (2012)
32. Harten, A., Engquist, B., Osher, S., Chakravarthy, Sukumar R.: Uniformly high-order accurate
essentially nonoscillatory schemes. III. J. Comput. Phys. 71(2), 231–303 (1987)
33. Hulburt, H.M., Katz, S.: Some problems in particle technology: a statistical mechanical formulation. Chem. Eng. Sci. 19(8), 555–574 (1964)
34. John, V., Angelov, I., Öncül, A.A., Thévenin, D.: Techniques for the reconstruction of a distribution from a finite number of its moments. Chem. Eng. Sci. 62(11), 2890–2904 (2007)
35. John, V.: Finite element methods for incompressible flow problems. In: Springer Series in
Computational Mathematics, vol. 51. Springer, Cham (2016)
36. John, V., Mitkova, T., Roland, M., Sundmacher, K., Tobiska, L., Voigt, A.: Simulations of
population balance systems with one internal coordinate using finite element methods. Chem.
Eng. Sci. 64(4), 733–741 (2009)
37. John, V., Novo, Julia: On (essentially) non-oscillatory discretizations of evolutionary
convection-diffusion equations. J. Comput. Phys. 231(4), 1570–1586 (2012)
38. John, V., Roland, M.: On the impact of the scheme for solving the higher dimensional equation
in coupled population balance systems. Int. J. Numer. Methods Engrg. 82(11), 1450–1474
(2010)
R. Ahrens et al.
17. Bramley, A.S., Hounslow, M.J., Ryall, R.L.: Aggregation during precipitation from solution:
a method for extracting rates from experimental data. J. Colloid Interf. Sci. 183(1), 155–165
(1996)
18. Buffo, A., Vanni, M., Marchisio, D.L., Fox, R.O.: Multivariate quadrature-based moments
methods for turbulent polydisperse gas-liquid systems. Int. J. Multiphase Flow 50, 41–57
(2013)
19. Chakraborty, J., Kumar, J., Singh, M., Mahoney, A., Ramkrishna, D.: Inverse problems in
population balances. Determination of aggregation kernel by weighted residuals. Ind. Eng.
Chem. Res. 54(42), 10530–10538 (2015)
20. Cooley, J.W., Tukey, J.W.: An algorithm for the machine calculation of complex Fourier series.
Math. Comput. 19(90), 297–297 (1965)
21. Dosta, M., Hartge, E.-U., Ahrens, R., Heinrich, S., Le Borne, S.: Investigation of an FFT-based
solver applied to dynamic flowsheet simulation of agglomeration processes. Adv. Powder
Technol. 30, 555–564 (2019)
22. Eisenschmidt, H., Soumaya, M., Bajcinca, N., Le Borne, S., Sundmacher, K.: Estimation of
aggregation kernels based on Laurent polynomial approximation. Comput. Chem. Eng. 103,
210–217 (2017)
23. Ferreira, T., Rasband, Wayne: ImageJ User GuideIJ 1, 46r (2012)
24. Ganesan, S., John, V., Matthies, G., Meesala, R., Abdus, S., Wilbrandt, U.: An object oriented
parallel finite element scheme for computing PDEs: design and implementation. In: IEEE 23rd
International Conference on High Performance Computing Workshops (HiPCW) Hyderabad,
pp. 106–115. IEEE (2016)
25. Ganesan, S.: An operator-splitting Galerkin/SUPG finite element method for population balance equations: stability and convergence. ESAIM Math. Model. Numer. Anal. 46(6), 1447–
1465 (2012)
26. Ganesan, S., Tobiska, L.: An operator-splitting finite element method for the efficient parallel
solution of multidimensional population balance systems. Chem. Eng. Sci. 69(1), 59–68 (2012)
27. Ganesan, S., Tobiska, L.: Operator-splitting finite element algorithms for computations of
high-dimensional parabolic problems. Appl. Math. Comput. 219(11), 6182–6196 (2013)
28. Gillespie, D.T.: The stochastic coalescence model for cloud droplet growth. J. Atmos. Sci.
29(8), 1496–1510 (1972)
29. Gillespie, D.T.: An exact method for numerically simulating the stochastic coalescence process
in a cloud. J. Atmos. Sci. 32(10), 1977–1989 (1975)
30. Hackbusch, W.: On the efficient evaluation of coalescence integrals in population balance
models. Computing 78(2), 145–159 (2006)
31. Hackbusch, W., John, V., Khachatryan, A., Suciu, C.: A numerical method for the simulation
of an aggregation-driven population balance system. Int. J. Numer. Methods Fluids 69(10),
1646–1660 (2012)
32. Harten, A., Engquist, B., Osher, S., Chakravarthy, Sukumar R.: Uniformly high-order accurate
essentially nonoscillatory schemes. III. J. Comput. Phys. 71(2), 231–303 (1987)
33. Hulburt, H.M., Katz, S.: Some problems in particle technology: a statistical mechanical formulation. Chem. Eng. Sci. 19(8), 555–574 (1964)
34. John, V., Angelov, I., Öncül, A.A., Thévenin, D.: Techniques for the reconstruction of a distribution from a finite number of its moments. Chem. Eng. Sci. 62(11), 2890–2904 (2007)
35. John, V.: Finite element methods for incompressible flow problems. In: Springer Series in
Computational Mathematics, vol. 51. Springer, Cham (2016)
36. John, V., Mitkova, T., Roland, M., Sundmacher, K., Tobiska, L., Voigt, A.: Simulations of
population balance systems with one internal coordinate using finite element methods. Chem.
Eng. Sci. 64(4), 733–741 (2009)
37. John, V., Novo, Julia: On (essentially) non-oscillatory discretizations of evolutionary
convection-diffusion equations. J. Comput. Phys. 231(4), 1570–1586 (2012)
38. John, V., Roland, M.: On the impact of the scheme for solving the higher dimensional equation
in coupled population balance systems. Int. J. Numer. Methods Engrg. 82(11), 1450–1474
(2010)