Journal Articles

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Stochastic Processes and Random Fields

Bioinformatics and genomics

Complex systems - Air Pollution, Groundwater Modeling and Saltwater Intrusion

Function Theory and Optimization

Stochastic Processes and Random Fields

1. ANH, V.V., Leonenko, N.N. and Sakhno, L.M. (2006), Minimum contrast estimation of random processes based on information of second and third orders , J. Statist. Plann. Infer. (accepted 6 March 2006 ).

2. ANH, V.V., Leonenko, N.N. and Sakhno, L.M. (2005), Spectral properties of Burgers and KPZ turbulence , J. Statistical Physics , DOI:10.1007/s10955-005-9009-3.

3. ANH, V.V., Angulo, J.M. and Ruiz-Medina, M.D. (2005), Diffusion on multifractals , Nonlinear Analysis (accepted 28 February 2005 ).

4. ANH, V.V., McVinish, R. and Pesee, C. (2005), Estimation and simulation of the Riesz-Bessel distribution with application to finance , Communications in Statistics: Theory and Methods 34, 1881-1897 .

5. ANH, V.V. and Inoue, A. (2005), Financial markets with memory I: Dynamic models , Stochastic Analysis & Applications , 23, 275-300.

6. ANH, V.V., Inoue, A. and Kasahara, Y. (2005), Financial markets with memory II: Innovation processes and expected utility maximization, Stochastic Analysis & Applications , 23, 301-328.

7. Angulo, J.M., ANH, V.V., McVinish, R. and Ruiz-Medina, M.D. (2005), Fractional kinetic equation driven by Gaussian or infinitely divisible noise , Advances in Applied Probability , 37, 366-392.

8. Ruiz-Medina, M.D., Angulo, J.M. and ANH, V.V. (2006), Spatial and spatiotemporal Karhunen-Loeve-type representations on fractal domains , Stochastic Analysis & Applications , 24.

9. Ruiz-Medina, M.D., Angulo, J.M. and ANH, V.V. (2005), The Green function and covariance function of stochastic fractional pseudodifferential models , International J. Pure & Applied Mathematics , 22, 283-310.

10. Inoue, A., Nakano, Y. and ANH, V.V. (2005), Linear filtering of systems with memory , J. Applied Mathematics & Stochastic Analysis , DOI 10.1155/JAMSA/2006/53104.

11. Ruiz-Medina, M.D., ANH, V.V., and Angulo, J.M. (2004), Multifractality in space-time statistical models , Stochastic Environmental Research and Risk Assessment (in press).

12. ANH, V.V. and Inoue, A., (2004), Prediction of fractional Brownian motion with Hurst index less than ½ , Bull. Austral. Math. Soc. 70, 321-328.

13. Ruiz-Medina, M.D., ANH, V.V., and Angulo, J.M. (2004), Fractional random fields on domains with fractal boundary , Infinite Dimensional Analysis, Quantum Probability and Related Topics 7(3), 395-417.

14. Angulo, J.M., Ruiz-Medina, M.D. and ANH, V.V. (2004), Wavelet orthogonal approximation of fractional generalized random fields on bounded domains , Prob. Theory & Math. Statist. 71, 28-43.

15. ANH, V.V, Leonenko, N.N. and Sakhno, L.M. (2004), On a class of minimum contrast estimators for fractional stochastic processes and fields , J. Statist. Plann. Infer . 123(1), 161-185.

16. ANH, V.V., Leonenko, N.N. and Sakhno, L.M. (2004), Quasilikelihood-based higher-order spectral estimation of random fields with possible long-range dependence , J. Appl. Prob . 41A, 35-53.

17. ANH, V.V. and McVinish, R., (2004), The Riesz-Bessel fractional diffusion equation , Applied Mathematics & Optimization , 49, 241-264 .

18. ANH, V.V., Knopova, V.P. and Leonenko, N.N. (2004), Continuous-time stochastic processes with cyclical long-range dependence, Austral. NZ J. Statist. 46(2), 275-296.

19. Ruiz-Medina, M.D., ANH, V.V. and Angulo, J.M. (2004), Fractional generalized random fields of variable order , Stochastic Analysis & Applications 22(3), 775-799.

20. ANH, V.V. and McVinish, R., (2003) Completely monotone property of fractional Green functions , Fractional Calculus & Applied Analysis , 6(2), 157-173.

21. ANH, V.V, Leonenko, N.N., Moldavskaya, E.M. and Sakhno, L.M. (2003), Estimation of spectral densities with multiplicative parameter , Acta Applicandae Mathematicae 79, 115-128.

22. ANH, V.V, Leonenko, N.N. and McVinish, R. (2003), On semilinear stochastic fractional differential equations of Volterra type , Random Operators & Stochastic Equations , 11, 137-150.

23. ANH, V.V. and Grecksch, W. (2003), A fractional stochastic evolution equation driven by fractional Brownian motion , Monte Carlo Methods & Applications 9(3), 189-199.

24. ANH, V.V. and McVinish, R. (2003), Fractional differential equations driven by Lévy noise , J. Applied Mathematics & Stochastic Analysis 16, 97-119 .

25. Ruiz-Medina, M.D., Angulo, J.M. and ANH, V.V. (2003), Fractional-order regularization and wavelet approximation to the inverse estimation problem for random fields , J. Multivariate Analysis 85, 192-216.

26. Ruiz-Medina, M.D., Angulo, J.M. and ANH, V.V. (2003), Fractional generalized random fields on bounded domains, Stochastic Analysis & Applications , 21(2), 465-492 .

27. ANH, V.V, Leonenko, N.N. and Sakhno, L.M. (2003), Higher-order spectral densities of fractional random fields , J. Statistical Physics , 111(3/4), 789-814.

28. ANH, V.V. and Leonenko, N.N. (2003), Harmonic analysis of random fractional diffusion-wave equations, J. Appl. Mathth. Comp. 141, 77-85.

29. ANH, V.V, Leonenko, N.N. and Melnikova, O.O. (2002), Scaling laws for fractional Volterra equations with chi-square random data , Mathematical Communications , 7, 159-175.

30. ANH, V.V., Leonenko, N.N. and Nguyen, C. (2002), Models for stochastic volatility in option pricing, Information Technology for Economics and Management , 1(1).

31. Ruiz-Medina, M.D., Angulo, J.M. and ANH, V.V. (2002), Stochastic fractional-order differential models on fractals, Prob. Theory & Math. Statist. , 67, 130-146 .

32. ANH, V.V. and Leonenko, N.N. (2002), Renormalization and homogenization of fractional diffusion equations with random data, Probability Theory and Related Fields ,124, 381-408 .

33. ANH, V.V. and Leonenko, N.N. (2002), Spectral theory of renormalized fractional random fields , Prob. Theory & Math. Statist. , 66, 3-14.

34. ANH, V.V., Heyde C.C. and Leonenko, N.N. (2002), Dynamic models of long-memory processes driven by Lévy noise , J. Applied Probability , 39, 730-747 .

35. Gao, J., ANH, V.V. and Heyde, C.C. (2002), Statistical estimation of nonstationary Gaussian processes with long-range dependence and intermittency , Stoch. Proc. Appl. , 99, 295-321.

36. Tse, Y.K., ANH, V.V. and Tieng, Q. (2002), Maximum likelihood estimation of the fractional differencing parameter in an ARFIMA models using wavelets , Mathematics & Computers in Simulation , 59, 153-161 .

37. ANH, V.V., Leonenko, N.N. and McVinish, R. (2001) Models for fractional Riesz-Bessel motion and related processes, Fractals , 9, 329-346.

38. Ruiz-Medina, M.D., Angulo, J.M. and ANH, V.V. (2001), Application of Hilbert-space methods to random field modeling and estimation, American J. Mathematical & Management Science , 21, 263-282.

39. Gao, J., Wolff, R. and ANH, V.V. (2001), Semiparametric approximation methods in multivariate model selection , Journal of Complexity, 17, 754-772.

40. ANH, V.V. and Leonenko, N.N. (2001), Spectral analysis of fractional kinetic equations with random data, J. Statistical Physics , 104, 1349-1387.

41. ANH, V.V., Leonenko, N.N. and Sharapov, M.M. (2001), Least squares estimation of regression coefficients of singular random fields observed on spheres, Math. Communications, 6, 57-72.

42. Leonenko, N. and ANH, V.V. (2001), On the rate of convergence to Rosenblatt distribution for additive functionals of stochastic processes with long-range dependence, J. Appl. Math. Stoch. Anal. , 14:1, 27-46.

43. ANH, V.V. and Nguyen, C. (2001), Semimartingale representation of fractional Riesz-Bessel motion, J. Finance & Stochastics, 5, 83-101 .

44. ANH, V.V., Ruiz-Medina, M.D. and Angulo, J.M. (2001), Differential representation and Markov property of generalized random fields, Stoch. Anal. Appl. 19(4), 481-498.

45. Ruiz-Medina, M.D., ANH, V.V., and Angulo, J.M. (2001), Stochastic fractional-order differential models with fractal boundary conditions, Statistics & Probability Letters , 54, 47-60.

46. Ruiz-Medina, M.D., Angulo, J.M. and ANH, V.V. (2001), Scaling limit solution of the fractional Burgers equation, Stoch. Proc. Appl. , 93, 285-300 .

47. Gao, J.T., ANH, V.V., Heyde, C.C. and Tieng, Q. (2001), Parameter estimation of stochastic processes with long-range dependence and intermittency, J. Time Series Anal. , 22(5), 517-535 .

48. Grecksch, W. and ANH, V.V. (2000), Approximation of stochastic evolution equations and application to equations with fractional power of infinitesimal operators, Random Operators & Stochastic Equations, 8, 27-38 .

49. ANH, V.V., Grecksch, W., Angulo, J.M. and Ruiz-Medina, M.D. (2000), The Wiener-Hopf integral equation for fractional Riesz-Bessel motion, J. Austral. Math. Soc., Series B, 42, 41-54 .

50. ANH, V.V., Ruiz-Medina, M.D. and Angulo, J.M. (2000), Covariance factorization and abstract representation of generalized random fields, Bull. Austral . Math. Soc. , 62, 319-334 .

51. Angulo, J.M., Ruiz-Medina, M.D. and ANH, V.V. (2000), Estimation and filtering of fractional generalized random fields, J. Austral. Math. Soc., Series A , 69, 336-361 .

52. Angulo, J.M., Ruiz-Medina, M.D., ANH, V.V., and Grecksch, W. (2000), Fractional diffusion and fractional heat equation, Advances in Applied Probability, 32, 1077-1099 .

53. ANH, V.V., Tieng, Q. and Tse, Y.K., (2000), Cointegration of stochastic multifractals with application to foreign exchange rates , Intl. Trans. Operational Research , 7, 349-363 .

54. ANH, V.V. and Leonenko, N. (2000), Scaling laws for the fractional diffusion-wave equation with random data, Statist. & Prob. Letters , 48, 239-252

55. ANH, V.V. and Chelliah, T. (1999), Estimated generalized least squares for random coefficient regression models, Scandinavian J. Statistics, 26, 31-46 .

56. ANH, V.V., Angulo, J.M. and Ruiz-Medina, M.D. (1999), Possible long-range dependence in fractional random fields, J. Statist. Planning & Inference, 80, 95-110.

57. Kleptsyna, M., Kloeden, P.E. and ANH, V.V. (1999), Linear filtering with fractional Brownian motion in the signal and observation processes, J. Appl. Math. Stoch. Anal. , 12(1), 85-90 .

58. Tse, Y.K., ANH, V.V. and Tieng, Q. (1999) No-cointegration tests based on fractional differencing: Some Monte Carlo results, J. Statist. Planning & Inference, 80, 257-267.

59. ANH, V.V., Grecksch, W. and Wadewitz, A. (1999), A splitting method for a stochastic Goursat problem, Stoch. Anal. Appl., 17(3), 315-326.

60. Grecksch, W. and ANH, V.V. (1999). A parabolic stochastic differential equation with fractional Brownian motion, Statistics & Probability Letters , 41, 337-346 .

61. Grecksch, W. and ANH, V.V. (1999), Approximation of stochastic Hammerstein integral equation with fractional Brownian motion input, Monte Carlo Methods & Applications , 5(4), 287-378.

62. ANH, V.V., Heyde, C.C. and Tieng, Q. (1999), Stochastic models for fractal processes, J. Statist. Planning & Inference, 80, 123-135.

63. Gao, J. and ANH, V.V. (1999), Semi-parametric regression under long-range dependence errors, J. Statist. Planning & Inference, 80, 37-57 .

64. Gao J.T. and ANH, V.V. (1999) A central limit theorem for a random quadratic form of strictly stationary processes, Statist. & Probability Letters, 46, 104-114.

65. ANH, V.V. and Nguyen, C. (1999), Stochastic analysis of fractional Riesz-Bessel motion, Random Operators & Stochastic Equations , 8(2) 105-126.

66. ANH, V.V. and Leonenko, N. (1999), Non-Gaussian scenarios for the heat equation with singular initial conditions, Stoch. Proc. Appl. , 84, 91-114.

67. ANH, V.V., Wolff, R., Gao, J.T. and Tieng, Q. (1999), Non parametric kernel regression with long-range dependent errors, Austral. & N.Z. J. Statist. , 41, 463-479 .

68. Kleptsyna, M., Kloeden, P.E. and ANH, V.V. (1998), Linear filtering with fractional Brownian motion, Stoch. Anal. Appl. 16 (5), 907-914.

69. Grecksch, W. and ANH, V.V. (1998), Approximation of stochastic differential equations with modified fractional Brownian motion, Zeitschrift Anal. Anwendungen , 17(3), 715-727 .

70. Kleptsyna, M., Kloeden, P.E. and ANH, V.V. (1998), Nonlinear filtering with fractional Brownian motion, Probl. Inform. Transm. , 34(2), 65-76.

71. ANH, V.V., Angulo, J.M., Ruiz-Medina, M.D. and Tieng, Q. (1998), Long-range dependence and second-order intermittency of two-dimensional turbulence, Environmental Modelling & Software, 13, 233-238.

72. Kleptsyna, M., Kloeden, P.E. and ANH, V.V. (1998), Existence and uniqueness theorems for fBm stochastic differential equations , Probl. Inform. Transm. , 34(4), 51-61.

73. ANH, V.V., Huang, Y. and Kloeden, P.E. (1997), Strong convergence of stochastic Taylor expansions of two-parameter random fields , Stoch. Anal. Appl . 15(2), 137-149.

74. Ahlip, R. and ANH, V.V. (1997), Nonlinear filtering of a system of logistic equations , Bull. Austral. Math. Soc . 55, 219-238.

75. ANH, V.V. and Lunney, K.E. (1997), Generalised spectral analysis of fractional random fields , J. Austral. Math. Soc., Series A 62, 64-83.

76. ANH, V.V., Lunney, K.E. and Peiris, S. (1997), Stochastic models for characterization and prediction of time series with long-range dependence and fractality , Environmental Modelling & Software 12(1), 67-73.

77. ANH, V.V., Shi, J.Y. and Tsui, H.T. (1996), Scaling theorems for zero crossings of bandlimited signals , IEEE Trans. Pattern Analysis & Machine Intelligence , 18(3), 309-320.

78. ANH, V.V., Gras, F. and Tsui, H.T. (1996), Multifractal description of natural scenes , Fractals 4(1), 35-43.

79. ANH, V.V. and Spencer, N.M. (1995), Riemann function approach to unbiased filtering and prediction , J. Math. Anal. Appl . 192, 96-116.

80. ANH, V.V. and Lunney, K.E. (1995), Parameter estimation of random fields with long-range dependence , Mathl. Comput. Modelling 21, 67-77.

81. Forbes, K. and ANH, V.V. (1994), Conditioning of system matrices in image restoration , J. Optical Soc. Amer . A 11, 1727-1735.

82. Huang, D. and ANH, V.V. (1993), Estimation of the nonstationary factor in ARUMA models , J. Time Series Analysis 14, 27-46.

83. Huang, D. and ANH, V.V. (1992), Estimation of spatial ARMA models , Austral. J. Statist . 34, 513-530.

84. ANH, V.V. and Lunney, K.E. (1992), Generalised harmonic analysis of a class of nonstationary random fields , J. Austral. Math. Soc., Series A , 53, 385-401.

85. Coakly, K., Wong, C.F., Forbes, K. and ANH, V.V. (1992), Automatic counting of nuclear tracks , Australasian Physical & Engineering Sci. in Medicine 15, 105-108.

86. ANH, V.V. and Lunney, K.E. (1991), Spectral representation and ergodicity of asymptotically stationary processes , Austral. J. Statist . 33, 85-94.

87. ANH, V.V. and Lunney, K.E. (1991), Covariance function and ergodicity of asymtotically stationary random fields , Bull. Austral. Math. Soc . 44, 49-62.

88. ANH, V.V. and Spencer, N.M. (1991), Markovian representation and prediction of stochastic processes with time-varying rational spectrum , Signal Processing 24,137-147.

89. ANH, V.V. and Spencer, N.M. (1991), Unbiased Wiener filtering: Nonstationary processes , Signal Processing 25, 51-68.

90. Spencer, N.M. and ANH, V.V. (1991), Spectral factorisation and prediction of multivariate processes with time-dependent rational spectral density matrices , J. Austral. Math. Soc. B , 33, 192-210.

91. ANH, V.V. (1988), Nonlinear least squares and maximum likelihood estimation of a heteroscedastic regression model , Stoch. Proc. Appl. 29, 317-333.

92. ANH, V.V. (1988), On the Hildreth-Houck estimator for random coefficient regression models , Austral. J. Statist . 30, 189-195.

93. Hogan, L., Urban, P. and ANH, V.V. (1985), A vector autoregressive forecasting model of the $US/$A exchange rate , Austral. J. Management 10, 47-65.

94. ANH, V.V. (1982), Estimated generalised least squares for a heteroscedastic regression model , Austral. J. Statist. 24, 145-154.

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Bioinformatics and genomics

1. Yu, Z.G., Anh, V.V., Lau, K.S. and Zhou, L.Q. (2006), Clustering of protein structures using hydrophobic free energy and solvent accessibility of proteins , Physical Review E (Accepted 13 February 2006).

2. Yu, Z.G., Zhou, L.Q, ANH, V.V., Chu, K.H, Qi, J., Long, S.C. and Deng, J.Q., (2005), Phylogeny of prokaryotes and chloroplasts revealed by a simple composition approach on complete genome without sequence alignment , J. Molecular Evolution 60, 1-8.

3. Zhou, L.Q, Yu, Z.G., Deng, J.Q., ANH, V.V. and Long, S.C. (2005), A fractal method to distinguish coding and noncoding sequences in a complete genome based on a number sequence representation , J. Theoretical Biology , 232, 559-567.

4. Yu, Z.G., ANH, V.V. and Lau, K.S. (2004), Fractal analysis of large proteins based on the detailed HP model , Physica A , 337, 171-184.

5. Chu, K.H., Qi, J., Yu, Z.G. and ANH, V.V. (2004), Origin and phylogeny of chloroplasts revealed by a simple correlation analysis of complete genomes , Molecular Biology and Evolution 21(1), 200-206.

6. Yu, Z.G., ANH, V.V. and Lau, K.S. (2004), Chaos game representation of protein sequences based on the detailed HP model and their multifractal and correlation analyses, J. Theoretical Biology , 226, 341-348.

7. Yu, Z.G., ANH, V.V., Lau, K.S. and Chu , K.H. (2003), The genomic tree of living organisms based on a fractal model , Physics Letters A , 317, 293-302.

8. Yu, Z.G, ANH, V.V. and Lau, K.S. (2003), Iterated function system and multifractal analysis of biological sequences , International J. Modern Physics B 17, 4367-4375.

9. Yu, Z.G, ANH, V.V. and Lau, K.S. (2003), Multifractal and correlation analyses of protein sequences from complete genomes , Physical Review E 68, 021913-1-10 (also selected for Vol 6, Issue 5 of Virtual Journal of Biological Physics Research ).

10. ANH, V.V., Lau, K-S. and Yu, Z.G. (2002), Recognition of an organism from fragments of its complete genome , Physical Review E , 66, 031910-1 – 031910-9 (also selected for Virtual Journal of Biological Physics Research 4(7) (2002) ).

11. Yu, Z.G., ANH, V.V., Gong, Z-M. and Long, S-C. (2002), Fractals in DNA sequence analysis , Chinese Physics 11(12), 1313-1318.

12. Yu, Z.G., ANH, V.V. and Lau, K-S. (2002), Hausdorff dimension of random fractals with overlaps , Bull. Austral. Math. Soc. , 65, 315-328.

13. Yu, Z.G., ANH, V.V. and Lau, K-S. (2001), Multifractal characterisation of length sequences of coding and noncoding segments in a complete genome, Physica A, 301, 356-361.

14. ANH, V.V., Lau, K-S. and Yu, Z.G. (2001), Multifractal characterisation of complete genomes , J. Physics A: Mathematical and General, 34, 7127-7139.

15. Yu, Z.G., ANH, V.V. and Lau, K-S. (2001), Measure representation and multifractal analysis of complete genomes , Physical Review E , 64, 031903 1-9.

16. Yu, Z.G. and ANH, V.V. (2001), Time series model based on global structure of complete genome, Chaos, Solitons & Fractals, 12, 1827-1834 .

17. Yu , Z.G., ANH, V.V. and Wang, B. (2001), Correlation property of length sequences based on the global structure of complete genomes, Physical Review E, 63, 11903-11910 .

18. M aeda, J., Novianto, S., ANH, V.V., Tieng, Q. and Suzuki, Y. (1999), Accurate estimation of local fractal dimension in images using Fourier-wavelet transform, Trans. Inst. Electronics, Information & Communication Eng. J82-A(5), 750-754.

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Complex systems - Air pollution, groundwater modeling and saltwater intrusion

1. Yu, Z.G., ANH, V.V., Wanliss, J.A. and Watson S.M. (2006), Chaos game representation of the Dst index and prediction of geomagnetic storm events , Chaos, Solitons & Fractals , doi:10.1016/j.chaos.2005.12.046.

2. Liu, Q., Liu, F., Turner, I. and ANH, V.V. (2006), Approximation of the Levy-Feller advection-dispersion process by random walk and finite difference method , J. Phys. Comp. (in press).

3. Liu, F., ANH, V.V., Turner, I., Bajracharya, K., Huxley, W.J. and Su, N. (2006), A finite volume simulation model for saturated-unsaturated flow and applications to Gooburrum, Bundaberg, Queensland, Australia , Applied Mathematical Modelling , 30, 352-366 .

4. ANH, V.V., Yu, Z.G., Wanliss, J.A. and Watson, S.M. (2005), Prediction of magnetic storm events using the index , Nonlinear Processes in Geophysics 12, 799-806.

5. Wanliss, J.A., ANH, V.V., Yu, Z.G. and Watson, S.M. (2005), Multifractal modelling of magnetic storms via symbolic dynamic analysis , J. Geophysical Research - Space Physics , 110, A08214.

6. Ilic, M., Liu, F., Turner, I. and ANH, V.V. (2005), Numerical approximation of a fractional-in-space diffusion equation I , Fractional Calculus & Applied Analysis (accepted 14 October 2005 ).

7. Su, N., Sander, G., Liu, F., ANH, V.V. and Barry, D.A. (2005), Similarity solutions for solute transport in fractal porous media using time- and scale-dependent dispersivity, Applied Mathematical Modelling 29, 852-870.

8. Liu, F., Shen, S., ANH, V.V. and Turner, I. (2005), Analysis of a discrete non-Markovian random walk approximation for the time fractional diffusion equation , ANZIAM J . 46, C488-C504.

9. ANH, V.V., Leung, Y., Lam, K.C. and Yu, Z.G. (2005), Multifractal characterisation of Hong Kong air quality data, Environmetrics 16, 1-12 .

10. Liu, F., ANH, V.V., Turner, I. and Zhuang, P. (2004), Numerical simulation for solute transport in fractal porous media , ANZIAM J . 45, 461-473.

11. Su, N., Yu, Z.G., ANH, V.V. and Bajracharya, K. (2004) Fractal tidal waves induced anthropogenically and naturally in coastal aquifers , Environmental Modelling and Software , 19, 1125-1130.

12. Liu, F., ANH, V.V., Turner, I. and Zhuang, P. (2003), Time fractional advection-dispersion equation , J. Applied Mathematics & Computing 13, 233-245.

13. Liu, F., ANH, V.V. and Turner, I. (2003), Numerical solution of the space-fractional Fokker-Planck equation , J. Computational & Applied Mathematics , 166, 209-219.

14. Su, N., Liu, F. and Anh, V.V. (2003), Tide as phase-modulated waves in inducing periodic groundwater flow in coastal overlaying a sloping impervious base , Environmental Modelling & Software , 18, 937-942.

15. Liu, F., Turner, I. , ANH, V.V. and Su, N. (2003), A two-dimensional finite volume method for transient simulation of time- and scale-dependent transport in heterogeneous aquifer systems , J. Applied Mathematics & Computing 11, 215-241.

16. Liu, F., Turner, I. and ANH, V.V. (2002), An unstructured mesh finite volume method for modelling saltwater intrusion into coastal aquifer, Korean J. Comp. Appl. Math. , 9, 391-407.

17. ANH, V.V., Arunakamaren, N., Bajracharya, K., Tieng, Q. and Turner, I. (2002), Multifractal modelling of porosity in heterogeneous aquifers , System Anal. Model. Simulations , 42(4), 585-596

18. ANH, V.V., Azzi, M., Duc, H., Johnson, G.H. and Tieng, Q. (1998), Reactive state-space modelling of urban air pollution, Environmental Modelling & Software, 13, 239-246.

19. ANH, V.V., Duc, H. and Azzi, M. (1997), Modelling anthropogenic trends in air quality data , J. Air & Waste Management Association 47(1), 66-71.

20. ANH, V.V., Duc, H. and Shannon, I. (1997), Spatial variability of Sydney air quality by cumulative semivariogram, Atmospheric Environment 31(24), 4073-4080.

21. ANH, V.V., Nguyen, K.L. and Duc, H. (1996), Characterisation and prediction of concentration time series from kraft pulp mills , Appita Journal , 49(1), 33-36.

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Function theory and optimization

1. ANH, V.V. (1989), Starlike functions with a fixed coefficient , Bull. Austral. Math. Soc . 38, 145-158.

2. ANH, V.V. (1989), Differential subordination, beta-convexity of starlike functions, and Robertson integral operators , Rev. Roum. Math. Pures Appl . 34, 389-402.

3. ANH, V.V. (1988), On beta-convexity of certain starlike univalent functions - Addendum, Rev. Roum. Math. Pures Appl. 33, 1-6.

4. ANH, V.V. (1987), Extremal problems for functions of positive real part with a constraint and applications , J. Math. Anal. Appl . 126, 250-268.

5. ANH, V.V. (1986), Extremal problems for a class of functions of positive real parts and applications , J. Austral. Math. Soc. (Series A) 41, 152-164.

6. ANH, V.V. (1985), k-fold symmetric starlike univalent functions , Bull. Austral. Math. Soc . 32, 419-436.

7. ANH, V.V. (1984), Meromorphic starlike univalent functions , Bull. Austral. Math. Soc . 30, 395-410.

8. ANH, V.V. and Tuan, P.D. (1980), Radii of convexity of two classes of regular functions , Bull. Austral. Math. Soc . 21, 29-41.

9. Tuan, P.D. and ANH, V.V. (1980), Extremal problems for functions of positive real part with a fixed coefficient and applications , Czechoslovak Math. J . 30(105), 65-79.

10. ANH, V.V. and Tuan, P.D. (1979), On b -convexity of certain starlike univalent functions , Rev. Roum. Math. Pures Appl . 24, 1413-1424.

11. Tuan, P.D. and ANH, V.V. (1978), Radii of starlikeness and convexity for certain classes of analytic functions, J. Math. Anal. Appl . 64, 146-158.

12. ANH, V.V. and Tuan, P.D. (1977), On starlikeness and convexity of certain analytic functions, Pacific J. Math . 69, 1-9.

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