School Members and Research Interests
The following pages introduce the current members of the School of
Mathematics and their research interests. The faculty members may be
contacted directly through the listed e-mail addresses.
Prapasri Asawakun received her Ph.D. in Mathematics for the University
of Iowa in 1989. She joined the School of Mathematics at SUT in 1993.
Her research interests include parallel algorithms for numerical analysis,
numerical optimization and applications of numerical analysis in
Her publications include:
- Parallel Algorithms for Solving Convex Unconstrained Minimization Problems,
P. Asawakun and F.A. Potra, Libertas Mathematica 8(1988), 31-46.
- Intermolecular Potential for Phenol based on the Test Particle Model,
P. Asawakun and K.P Sagarik, Chem. Phys. 219(1997), 173.
Asst. Prof. Arjuna Peter Chaiyasena, Ph.D.
Arjuna Peter Chaiyasena received his Ph.D. degree in mathematics from
Pennsylvania State University, USA, in 1993 before becoming a part of
the School of Mathematics at SUT. Research interests include dynamical
systems, invariant solutions of differential equations, Lie groups and Lie
algebras, and discrete mathematics, the last concerning with computer
systems specifications, finite automata theory, and other abstract
applicable ideas. He plays violin, classical guitar and studies Tai Chi and
other Chinese internal arts.
Some Representative Publications:
- Signal ambiguity functions, Wigner transforms, and wavelets,
(with Leon H. Sibul and M. L. Fowler): Signal Processing and Digital filtering,
M.H. Hamza, editor, Lugano, Switzerland, June 1990, 214-217.
- Wavelet transform and signal ambiguity functions,
(with Leon H. Sibul and Augustin Banyaga): Twenty-Fourth Asilomar Conference on Signals,
Systems and Computers, Ray R. Chen, editor, Pacific Grove, California,
November 1990, 1084-1089.
- The relationship between narrowband and wideband ambiguity volume
properties a group contraction approach, (with Leon H. Sibul and A.
Banyaga): Proceeding of the 1991 Conference on Information Sciences
and Systems, Prinecton, NJ.
- Wavelet transforms, wideband ambiguity functions and group theory,
(with Leon H. Sibul and Augustin Banyaga) Twenty-Sixth Conference
on Signals, Systems and Computers. Pacific Grove, CA, October 1992.
Assoc. Prof. Boris I. Kvasov, Ph.D., D.Sc.
Boris I. Kvasov received his Ph.D. in Computational Mathematics from
Novosibirsk State University in 1973, and in 1997 was conferred the
D.Sc. Habilitation Degree in Computational Mathematics by the Russian
Academy of Sciences in Moscow. He has been a Leading Researcher at
the Institute of Computational Technologies of the Russian Academy of
Sciences in Novosibirsk, and has held the position of
Associate Professor in the Department of Mathematics at Novosibirsk
State University. Dr. Kvasov is author of the book Methods of
Shape-Preserving Spline Approximation, World Scientific, Singapore and
co-author of the book Methods of Spline Functions published by Nauka in
Moscow, which has become a standard textbook for students and engineers in
Russia. Current research interests include numerical analysis, in particular
methods of spline approximation with application to computer-aided geometric
design. Some recent of his over 60 research papers and 10 books are:
- On discrete hyperbolic tension splines, (with P. Costantini and C. Manni), Advances in Computational Mathematics, 11(1999), 331-354.
- On discrete GB-Splines, Australian and New Zealand Industrial and Applied Mathematics Journal
(ANZIAM J.), 42(E)(2000), 877-899.
- Algorithms for shape-preserving local approximation with automatic selection of tension parameters,,
Computer Aided Geometric Design, 17(2000), 17-37.
- Methods of Shape-Preservimg Spline Approximation, World Scientific
Pub. Co. Pte. Ltd., Singapore, 2000.
- Approximation by discrete GB-splines, Int. J. Numerical Algorithms,
27(2) June 2001, 169-188.
Sergey V. Meleshko graduated with a Ph.D. degree in Mathematics and
Physics from Novosibirsk State University in 1981, and was awarded a
D.Sc. Habilitation Degree by the Ural Branch of the Soviet Academy of
Sciences in 1991. Since 1983 he has been working at Novosibirsk State
University where he held the position of Vice Dean in Mathematics and
Mechanics, and concurrently at the Institute of Theoretical and Applied
Mechanics of Russian Academy of Sciences in Novosibirsk as Principal
Researcher. Dr. Meleshko joined the School of Mathematics at SUT in
1996. Research interests include analytical methods for the construction
of exact solutions of partial differential equations, in particular the
method of differential constraints and group analysis of differential
equations, symbolic analytical computation, mathematical and numerical
modelling, and computational mathematics.
Some recent of his over 80 publications are:
- Steady space nonisentropic flows of double wave type,
Journal of Applied Mathematics and Mechanics, 61(1997), 159-167.
- Bobylev-Krook-Wu Modes for Multicomponent Gas Mixtures,
Physical Review Letters, 81(1998), 93-95 (with Grigoryev Y.N.).
- Group classification of two-dimensional stable viscous gas equations,
International Journal of Non-Linear Mechanics, 34(1998), 449-456.
- One class of partially invariant solutions of the Navier-Stokes Equation,
Journal of Applied Mechanics and Technical Physics. 40(1999), 24-33
(with Puchnachov V.V.).
- Classification of invariant solutions of the Boltzmann equation, J. of Physics A: Mathematical and General, 32(1999) (with Grigoryev Y.N.).
Nikolay Moshkin received his Ph.D. in Mechanics of Fluid, Gas and
Plasma from the Institute of Theoretical and Applied Mechanics of the
Russian Academy of Sciences at Novosibirsk in 1984. He remained at the
institute as a researcher, and at the same time took on a position in the
Department of Mathematics and Mechanics at Novosibirsk State
University, where he later became of Vice Dean in the Department of
Mathematics and Mechanics. He joined SUT in 1996, and is still
actively collaborating with his colleagues at the various research
institutes in Novosibirsk. Dr. Moshkin's research interests include
- the generation of internal waves by a turbulent wake in a stratified fluid
- the flow of incompressible Newtonian fluid past a self-propelled body
- the numerical simulation of natural convection
The following is a sample of some recent of his over 40 publications:
- On certain examples of numerical modelling of a steady flow past a selfpropelled sphere, Russian Journal of Theoretical and Applied Mechanics, 1(1991), 111-123.
- Comparison of some numerical algorithms for two-dimensional
convection of fluid with nonlinear viscousity
(with G.G. Chernykh, E.V. Rychkova, S.A. Tychkov), International conference on the methods of
aerophysical research, September 2-6, 1996, Novosibirsk, Russia,
Proceedings, part I, Novosibirsk, 1996, 79-84.
- Numerical Models of Turbulent Wakes in Homogeneous and Stratified Fluids
(with G.G. Chernykh, A.G. Demenkov and O.F. Voropaeva),
Proceeding of the Third ECCOMAS CFD Conference, 9-13 September
1996, Paris, France, John Wiley & Sons, 160-166.
- Numerical simulation of free convection flows in a two-layer system of immiscible fluids,
ANSCSE'99, March 24-26 1999, Chulalongkorn University, Bangkok, Thailand, 10-18.
Pairote Sattayatham received his Ph.D. degree in Mathematics from
Chulalongkorn University in Thailand in 1986. After teaching at
Naresuan University and Thammasat University, both in Thailand, he
joined the School of Mathematics at SUT in 1993. His research interests
include distributed optimal control and mathematics of finance.
Here are some of his 13 publications:
- On the Functions that Preserve Harmonicity in the Euclidean Space,
SEA Bull. Math., 17(1993).
- Semi-Continuous Functions in Banach Lattices, J. of Physical Science,
USM. Malaysia, 5(1994), 103-116.
- Particle Correlation in Quantum Field Theory II
(with E.B. Manoukian), Fortschr. Phys. (1998), 189-200.
- Use of Cubic Splines and the Second Central Finite Differences in
Numerical Solution of PDEs
(with Wei Wei), Journal of Interdisciplinary Mathematics, in press.
- Optimal Conrtol of Nonlinear Delay Equations
(with Xiang Xioling), Optimization Journal, in press.
Eckart Schulz received his Ph.D. degree in mathematics from the
University of Saskatchewan in Canada in 1991. After teaching in Canada
and at Khon Kaen University, he became member of a School of
Mathematics in 1993. He is interested in operator algebras and harmonic
analysis, and currently focuses on wavelet theory and applications.
Some Representative Publications:
- On the Stable Rank of Crossed Products of Sectional C*-algebras by
Compact Lie Groups, Proc. Amer. Math. Soc. 112 (1991) , 733-744.
- Group C*-algebras as Fixed Point Algebras,
Proceedings of the First Annual Meeting in Mathematics, National Research Council of Thailand,
- Construction of Wavelets,
Proceedings of the Second Annual Meeting in Mathematics, National Research Council of Thailand, 1994.
- Extensions of the Heisenberg Group and Wavelet Analysis in the Plane,
(with Keith F. Taylor), Centre de Recherche Mathematique, University of
Montreal, Conference Proceedings and Lecture Notes, 18(1999).
Assoc. Prof. Suwon Tangmanee, Ph.D. (retired)
Suwon Tangmanee graduated with a Ph.D. in Mathematics from Trinity
College, University of Dublin, Ireland in 1977. Since then he has taught
at Kasetsart University in Thailand, and he joined the newly established
School of Mathematics at SUT in 1993. He is very active in the regional
mathematical community, and was director of the Center for the
Promotion of Mathematical Research of Thailand during 1982-1988, and
President of the Southeast Asian Mathematical Society during 1994 and
1995. His research interests include applications of the finite element
method to engineering problems and numerical solutions to equations of
mixed type. He is also interested in problems of water and air pollution
Some of his publications are:
- Symmetric Positive Differential Equation and First Order Hyperbolic Systems,
UNESCO IAEA, International Center for Theoretical Physics, Trieste, Italy, Publication IC/81/233.
- Finite Element Approximation to a Model Problem of Transonic Flow,
ICTP, Trieste, IC/86/346.
- A Unified Numerical Approximation for Linear Differential Equations,
Proceedings of the First Asian Mathematical Conference 1990, Hong
Kong. World Scientific, 452-462.
- Finite Element Method for Equations of Mixed Type Associated With
Wave Equations, SEA Bull. Math. 19(1995), 87-94.
- A Proof of the Well-posed Tricomi Equation, Proceedings of the Second
Asian Mathematical Conference 1995, World Scientific, 468-474.