Ph.D. - Wayne State University, Michigan, 1987

RESEARCH INTERESTS

COURSES TAUGHT AT UA

Remedial Math & Precalculus: MA 120, MA 109, MA 005

Calculus: MA 125, MA 126, MA 227, MA 131, MA 121

Computer Based Honors Program: CBH 201*, CBH 202*, CBH 301*, CBH 302*, CBH 451*.

Differential Equations: MA 253

Linear Algebra: MA 255,MA 237

Numerical Mathematics: MA 300, MA 311, MA 511

Probability: MA 355

Statistics: MA 451/551, MA 554

Optimization: MA 321, MA 485/520, MA 486/521

Optimal Control: MA 530, MA 692

Special Topics in Applied Mathematics: MA 537*

Dissertation/Project: MA 495*, MA 598*, MA 599*

* I offered these 9 extra courses voluntarily, using my own spare times. They were not counted in my official teaching load.

1. A.I. Zholudev, Numerical optimization methods for controlled processes, Soviet J. Comput. Systems Sci., 1989.

2. P.J. Szablowski, Elliptically contoured random variables and their application to the extension of the Kalman filter, Computers Math. Appl., 1990.

3. Y.M. Zhu, The strong convergence rate of adaptive filters, J. Systems Sci. Math. Sci., 1990.

4. Z.J. Huang, The Kuhn-Tucker optimality conditions under linear constraints, Zhangzhou Shiyuan Xuebao (Ziran Kexue Ban), 1989.

5. A. Lepschy, G.A. Mian and U. Viaro, Efficient Split Algorithms for Continuout-time and Discrete-time Systems, J. Franklin Institute, 1991.

6. J.D.L.Rowland and R.B. Vinter, Construction of optimal feedback controls, Systems & Control Letters, 1991.

7. M.R. James, Finite time observer design by probabilistic-variational methods, SIAM J. Control Optim., 1991.

8. R. Vijayan, H.V. Poor, J.B. Moore, and G.C. Goodwin, A Levinson-type algorithm for modeling fast-sampled data, IEEE Trans. Automat. Control, 1991.

9. V. Barbu, The dynamic programming equation for the time-optimal control problem in infinite dimensions, SIAM J. Control Optim., 1991.

10. Chen Ma, A new constructive method for systems of linear inequalities, J. Systems Sci. Math. Sci., 1991.

11. A. Grzybowski, Minimax Control of a System with Actuation Errors, Zastrosowania Matematyki Applicationes Mathematicae, 1991.

12. A.V. Kim, Bellman's equation for systems with after-effect, Soviet J. Comput. Systems Sci., 1992.

13. G.Y. He, A recursive filter for linear discrete systems with delayed observations, Gaoxiao Yingyong Shuxue Xuebao, 7(1992), No. 2, pp. 206-215.

14. J. Matulka and R. Neck, OPTCON: An Algorithm for the Optimal Control of Nonlinear Stochastic Models, Annals of Operations Research, 37(1992), pp. 375-401.

15. P. Liu and Z.J. Zhang, A stable Kalman filtering with H error bound, Control Theory and Applications, 9(1992), No. 4, pp. 343-348.

16. N.H. Xiu and G.J. Chen, Optimality of updating matrices of Abaffy-Broyden-Spedicato algorithms, Journal of Qufu Normal University, 18(1992), suppl., pp. 21-24.

17. D.L. Chu and X.C. Hu, Construction of a preconditioner based on domain decomposition for solving elliptic problems, Numer. Math. J. Chinese Univ., 14(1992), 363-371.

18. M.S. Wei and G.L. Chen, The perturbation theory for the N-Norm, M-weighted least squares problem, Numer. Math. J. Chinese Univ., 15(1993), 120-127.

19. G. Kreisselmeier and T. Birkholzer, Numerical nonlinear regulator design, IEEE Trans. Automatic Control, 39(1994), 33-46.

20. U.G. Haussmann, Generalized solutions of the Hamilton-Jacobi equation of stochastic control. SIAM J. Control Optimization, 32 (1994), no. 3, 728-743.

21. E.N. Barron, Optimal control and calculus of variations in L¥. Lecture Notes in Pure and Appl. Math., 160 (1994), 39-47.

22. M. Falcone, P. Lanucara, A. Seghini, A splitting algorithm for Hamilton-Hacobi-Bellman equations. Applied Numerical Mathematics, 15 (1994), 207-218.

23. S.J. Tang and J.M. Yong, Finite horizon stochastic iptimal switching and impulse controls with a viscosity solution approach, Stochastics and Stochastics Reports, 45 (1993), 145-176.

24. B. Alziary and P.L. Lions, A grid refinement method for deterministic control and differential games, Mathematical Models and Methods in Applied Sciences, 4 (1994), 899-910.

25. H. Wang, Approximation of optimal control systems with infinite horizon, Chinese Ann. Math. Ser. A, 15 (1994), 297-308.

26. Ying Hu, Shi-ge Peng, and Xun-jing Li, A maximum principle for optimal control problems of monlinear generalized systems --- the infinite-dimensional case, ACTA Math. Appl. Sinica, 15 (1992), no. 1, 99-104.

27. Bum IL Hong, Regularity for Hamilton-Jacobi equations via approximation, Bull. Austral. Math. Soc., 51 (1995), no. 2, 195-213.

28. Jianhua Xiao and Jiasong Wang, A New Algorithm for Solving the Linear Complementary Problem, Numer. Math. J. Chinese Univ. 17 (1995), no. 1, 1-11.

29. Kushner, H.J., Domain decomposition methods for large Markov chain control problems and nonlinear elliptic-type equations. SIAM J. Sci. Comput. 18(1997), no.5, 1494-1516.

30. Wang, Hui, Approximation of the value function of an optimal control problem with finite horizon, Chinese Ann. Math. Ser. A 17(1996), no 3, 295-300.

31. Wang, Lie-heng, On the bounds of eigenvalues for discrete finite element equations, Comput. Math., 2(1995), 136-142.

32. V. Dargan, and T. Morozan, Mixed Input-Output Optimization for Time Varying Ito Systems with State-Dependent Noise, Dynamics of Continuous, Discrete and Impulsive Systems, 3(1997), 317-333.

33. R. Ferretti, Dynamic Programming Techniques in the Approximation of Optimal Stopping Time Problems in Hilbert Spaces, Lecture Notes in Pure and Applied Math., Vol. 188, 153-166, 1997.

34. Sheskin, T.J., Computing the fundamental matrix for a nonirreducible Markov chain, Int. J. Math. Educ. Sci. Technol., 25(1997), 661-675.

35. R.J. Elliott and L. Aggoun, Measure change techniques in optimal control, Appl math Optim, 35(1997), 165-175.

36. D.P. Bertsekas, A new value iteration method for the average cost dynamic programming problem, SIAM J. Control Optim, 36(1998), 742-759.

37. P. Tseng, An incremental gradient projection method with momentum term and adaptive stepsize rule, SIAM J. Optim., 8(1998), 506-531.

38. R. Mikulevicius and H. Pragarauskas, On the existence of a viscosity solution to the integro-differential Bellman equation, Prob. Theory and Math. Stat., 553-564(1994).

39. Petersem, Ian R. and Stavkin, Andrey V., Robust Kalman filtering for signals and systems with large uncertainties, Birkhäuser Boston, Inc., Boston, MA, 1999.

40. L.D. Berkovitz, A Generalized Hamilton-Jacobi Bellman Equation for Deterministic Optimal Control Problems, Stochastic analysis, control, optimization and applications, pp.223-235, Systems Control Found. Appli., Birkhauser Boston, Boston, MA, 1999.

41. M. Falcone and T. Giorgi., An Approximation Scheme for Evolutive Hamilton-Jacobi Equations, Stochastic analysis, control, optimization and applications, pp.289-303, Systems Control Found. Appli., Birkhauser Boston, Boston, MA, 1999.

42. C.V. Rao, S.J. Wright, and J.B. Rawlings, pplication of Interior-Point Methods to Model Predictive Control, J. Optim. Theory Appli., 99(1998), 723-757.

1. Mathematical Sciences Research Equipment, 1990, submitted to NSF, the principal investigator.

2. System-theoretical methods and advanced mathematical methods in environmental problems, 1992, submitted to Alabama EPA/EPSCoR Program, a principal investigator, jointly with Dr. S. Belbas et al.

3. Field and Modeling Experiments to Study Pesticide Transport in the Vadose Zone of Alabama Soils Under Best Management Practices, 1992, submitted to Alabama EPA/EPSCoR Program, a principal investigator, jointly with Dr. S.A. Aburime et al.

4. Mathematical Analysis and Field and Laboratory Experiments to Study the Impact of Agriculture on Subsurface Ecology, 1992, submitted to EPA Robert S. Kerr Research Laboratory in Oklahoma, jointly with Dr. S.A. Belbas et al.

5. New Mathematical Models, Analysis and Parameter Estimation for Three-dimensional Multiphase Flow and Contaminant Transport, 1992, submitted to EPA Robert S. Kerr Research Laboratory in Oklahoma, jointly with Dr. S.A. Belbas et al.

*6. Analytical and Numerical Issues of Some Optimal Control Problems in Environmental Research, 1993 RGC Grant,the principal investigator, total budget $3,550.

7. System-Theoretical and Stochastic Methods in Environmental Problems, the National Institute for Global Environmental Change, Southeast Regional Center, the co-principal investigator, 1992, jointly with Dr. S. Belbas.

8. Integrated Assessment of Environmental and Socioeconomic Effects of Planning and Scheduling of Electric Energy Production Systems, the National Institute for Global Environmental Change, Southeast Regional Center, the co-principal investigator, 1993, jointly with Dr. S. Belbas.

9. Identification issues for Multi-Component Contaminant Transport and Fate in Groundwater, Water Resource Research Institute, a co-principal investigator, 1994.

10. Development of a Practical Tool for Optimization of Groundwater Remediation Designs, Gulf Coast Hazardous Substance Research Center, a co-principal investigator, 1993.

11. Design of Efficient Optimization and Simulation Methods for Groundwater Remediation Application, the principal investigator, UA SOMED Proposal, 1994.

12. Parallel Implementation of Decomposition Methods for Solving Optimility Equation and Contaminant Transport Equation in Groundwater Remediation Designs, the Principal investigator, Cray Research, Inc., 1994.

*13. Augmentation of Optimal Management Policy Selections to Groundwater Transport Model MT3D, funded by U.S. Geological Survey through Alabama Water Resource Research Institute, the principal investigator, total budget $72,900, 1994.

14. Optimal Management of Drainage Ditches for Removing Agricultural Chemicals from Groundwater, U.S. Department of Agriculture, the co-principal investigator, 1994.

15. Analytical and numerical study of identification and optimization problems in groundwater modelling, 1994, submitted to Alabama NSF/EPSCoR Program, a principal investigator, jointly with Dr. S. Belbas et al.

16. Parallel Learning Algorithms for Designing Artificial Neural Networks with Application to Environmental Management Problems, the principal investigator, Cray Research, Inc., 1994.

*17. Efficient Learning Algorithms for Designing Artificial Neural Networks with Application to Groundwate Remediation Problems, the principal investigator, UA SOMED Proposal, total budget $16,700 1995.

*18. Augmentation of Optimal Management Policy Selections to Groundwater Transport Model MT3D, Phase II (Renewed), funded by U.S. Geological Survey through Alabama Water resource Research Institute, the principal investigator, total budget $77,200, 1995.

19. Artificial Neural Network Based System Identification and Parameter Estimation with Application to Groundwater Management Problems, the principal investigator, UA SOMED Proposal, 1996.

20. Artificial Neural Network in Groundwater Modeling and Practical Applications to Water Resources Problems, the Principal investigator, Alabama Water Resource Research Institute, 1996.

21. Artificial Neural Network Models for Aquifer Calibration, Groundwater Remediation and Other Management Problems, U.S. EPA, as a co-principal investigator, Alabama Water Resource Research Institute, 1997.

22. Exchange Coupling & Transport Phenomena in Magnetic Layers with Non-Ideal Interfaces, as a co-investigator, U.S. Department of Energy, 1998.

*23. Modeling and simulation in magnetic materials research, as the principal investigator, funded by NSF through Center for Materials for Information Technology, $14,400 plus about $4,000 of tuition to fully support a Ph.D. student in applied math, with additional one summer month salary, total budget $23,800, 1998.

*24. Subsurface Contamination Site Characterization Via a Computer-Aided Tool, as the principal investigator, funded by U.S. EPA through Gulf Coast Hazardous Substance Research Center, total budget $69,000, 1998.

25. Investigation of numerical techniques for analyzing magnetic force microscope images and characterizing magnetic sensor materials, as the principal investigator, Mathematical Sciences Division of U.S. NSF,1998.

*26. Modeling and simulation in micromagnetics research, as the principal investigator, funded by NSF through Center for Materials for Information Technology, $14,400 plus about $4,000 of tuition to fully support a Ph.D. student in applied math, with additional one summer month salary, total budget $23,800, 1999.

*27. Subsurface Contamination Site Characterization Via a Computer-Aided Tool, Phase II, as the principal investigator,U.S. EPA's Gulf Coast Hazardous Substance Research Center, total budget $69,370, 1999.

28. Global optimization by interval analysis methods with application to optimal management of power systems, the principal investigator, UA SOMED Proposal,2000.

1. On Singular Stochastic Control and Optimal Stopping Time Problems in Bounded Domains, Ph.D. Thesis, 1987.

2. M. Sun and J.L.Menaldi, Monotone control of a damped oscillator under random perturbations, IMA J. of Math. Control and Inf., 5 (1988), 169-186.

3. M. Sun, An optimal stopping time problem with time average cost in a bounded interval, Systems and Control Letters, 8 (1986), 173-180.

4. M. Sun, Singular control problems in bounded intervals, Stochastics, 21 (1987), 303-344.

5. M. Sun, Numerical solutions of singular stochastic control problems in bounded intervals, Lectures in Applied Mathematics, 26(1990), 619-643.

6. M. Sun, Singular stochastic control problems solved by a sparse simplex method, IMA J. of Math. Control and Inf., 6(1989), 27-38.

7. M. Sun, Some analytical aspects of linear programming approach in numerical solution of singular stochastic control problems, IMA J. of Math. Control and Inf., 6(1989), 21-26.

8. M. Sun, An evolutionary monotone follower problem in [0,1], J. of the Australian Mathematical Society, Series B: Applied Mathematics, 31(1989), 97-107.

9. M. Sun, A multi-dim. optimal stopping time problem with time average criterion, Optimal Control Appls. and Methods, 11(1990), 85-93.

10. M. Sun, Monotonicity of Mangasarian's iterative algorithm for generalized linear complementarity problems, J. of Mathematical Analysis and Applications, 144(1990), 474-485.

11. M. Sun, Iterative algorithms for solving undiscounted Bellman equations, Numer. Funct. Anal. & Optimiz., 11(1990), 149-166.

12. M. Sun, Two adaptively stepped monotone algorithms for solving dynamic programming equations, Numer. Funct. Anal. & Optimz., 14(1993), 167-178.

13. M. Sun, A revised simplex algorithm for finite Markov decision processes, J. Optim. Theory Appl., 72(1993), 405-413.

14. M. Sun, Alternating direction algorithms for solving Hamilton-Jacobi-Bellman equations, Applied Math. Optim, 34(1996), 267-277.

15. M. Sun, Nested variational inequalities and related starting-stopping problems, J. Appl. Proba., 29(1992), 104-115.

16. M. Sun, Domain decomposition algorithms for solving Hamilton-Jacobi-Bellman equations, Numer. Funct. Anal. & Optimiz., 14(1993), 145-166.

17. M. Sun, (with R. Glowinski), Pathwise approximation and simulation for the Zakai filtering equation through operator splitting, Calcolo, 30 (1994), 219-239.

18. M. Sun, Improved Dynamic Programming Algorithms for Sequential Decision Processes with Applications to Economic Dispatches of Power Systems, Procedings of the 25th IEEE Southeastern Symposium on System Theory, 1993, 135-139.

19. M. Sun (with S. Belbas), Optimal Observation Schedule for Identification of Nonlinear Distributed Systems with Applications, Proceedings of the 25th IEEE Southeastern Symposium on System Theory, 1993, 301-305.

20. M. Sun, (with J.L. Menaldi et al.), Optimal starting-stopping problems for Markov-Feller processes, Stochastics and Stochastic Reports, 56 (1996), 17-32.

21. M. Sun, (with C. Zheng et al.) Optimal management selections for groundwater resources, in the Preceedings of 1994 Alabama Water Resources Conference and Symposium, Gulf Shores, AL.

22. M. Sun (with C. Zheng et al.), Efficient local refinement schemes for finite difference groundwater stimulation models, in the Preceedings of the 2nd International Conference on Ground water Ecology, Atlatna, GA.

23. M. Sun (with C. Zheng et al.), Particle tracking method for solving ground water pollutant transport equations using efficient local refinement schesmes, in the Preceedings of the 14th IMACS World Congress on Computation and Applied Mathematics, Atlanta, GA.

24. M. Sun (with C. Zheng et al.), A backward random walk particle tracking method for predicting ground water flow and contaminant levels at observation sites, in the Preceedings of 1994 Ground water Modeling Conference, Fort Collins, CO.

25. M. Sun (with C. Zheng et al.) Application of optimization methods to groundwater management and remediation problems, in the Preceedings of 1995 Alabama Water Resources Conference and Symposium, Gulf Shores, AL, 62-65.

26. M. Sun, Training multilayer feedforward neural networks using dynamic programming, in the Preceedings of the 28th IEEE Southeastern Symposium on System Theory, 1996, 163-167.

27. M. Sun, A Neural Network Based Parameterization Method for Distributed Parameter Identification, In the Proceedings of 30th Southeastern Symposium on System Theory, 1998, 361-365.

28. M. Sun (with H. Fujiwara et al.), A Dynamic Simulation Model of Magnetization Reversal, In the Proceedings of 30th Southeastern Symposium on System Theory, 1998, 93-97.

29. M. Sun (with C. Zheng), Long term groundwater management by a MODFLOW based dynamic optimization tool, J. of American Water Resources Association, 35(1999), 99-111.

30. M. Sun (with J. Kim and H. Fujiwara), Simulating measurement noise effect in parameter identification of ferromagnetic and antiferromagnetic systems, In the Proceedings of 31st Southeastern Symposium on System Theory, 205-209, 1999.

31. M. Sun (with C. Zheng), Identification of distributed parameter systems with undetected parameter zones, In the Proceedings of 31st Southeastern Symposium on System Theory, 271-275,1999.

32. M. Sun (with H. Fujiwara et al.), A numerical model for estimating unknown magnetic parameters in studying ferromagnetic and antiferromagnetic coupled systems, J. Appl. Phys., 1999.

33. M. Sun (with H. Fujiwara), Spin fanning figurations in antiferromagnetic layers with a uniaxial anisotropy and torque transfer characteristics from top to bottom spins, J. Appl. Phys., 4940-4942, 1999.

34. M. Sun (with H.S. Cho et al.), Characteristics of 360-degree-domain walls observed by magnetic force microscope in exchange-biased NiFe films, J. Appl. Phys., 5160-5162, 1999.

35. M. Sun (with H. Fujiwara et al.) Effect of exchange coupling of polycrystalline antiferromagnetic layers on the magnetization behavior of soft magnetic layers, IEEE Transactions on Magnetics, 1999.

36. M. Sun (with H. Fujiwara et al.) Decomposition of coupled magnetization loops, In the Proceedings of 32nd Southeastern Symposium on System Theory, 23-28, 2000.

37. M. Sun (with J. Moore), An indirect optimization method for identification of distributed parameters, In the Proceedings of 32nd Southeastern Symposium on System Theory, 343-348, 2000.

38. M. Sun (with J. Moore et al.), Soft Constraints in Identification of Distributed Parameters, in the Proceedings of 33rd Southeastern Symposium on System Theory, 2001.

39. M. Sun (C. Zheng), Calibration of 3-D groundwater model using hydrogeological parameter zones, Proceedings of XIII International Conference on Computational Methods in Water Resources, June 2000, Calgary, Canada.

40. M. Sun (with H. Fujiwara et al.), Local Optimization for Simulating Hysteretic Behavior of Exchange Coupled Magnetic Systems, in the Proceedings of 33rd Southeastern Symposium on System Theory, 2001.

41. M. Sun, Tree Annealing for Constrained Optimization, Proceedings of 34th Southeastern Symposium on System Theory, 412-416, 2002.

42. M. Sun & W. H. Butler, Application of Data Driven Models in Quantum Mechanics Calculations, Proceedings of 34th Southeastern Symposium on System Theory, 426-430, 2002.

43. M. Sun & H. Fujiwara, Data Driven Function Approximation Models for Simulating Magnetic Hysteresis, J. Appl. Phys., 2002.