Publications List
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In Preparation

  1. S. Chow and G. Carey, Numerical Approximation of Generalized Newtonian Fluids using Powell-Sabin-Heindl Elements: II. Computational studies.
  2. S. Chow, A flower sleeve problem.
  3. S. Chow, An AD Galerkin method for some strongly nonlinear problems.

Refereed Publications

  1. Modeling Error and Constitutive Relations in Simulation of Flow and Transport, G.F.Carey, W.Barth, J.A.Woods, B.Kirk, M.L.Anderson, S.-S.Chow and W.Bangerth, International Journal of Numerical Methods in Fluids, vol 46, pp. 1211--1236, 2004.
  2. Finite element approximations of a glaciology problem, S.-S.Chow, G.F. Carey, M.L.Anderson, Mathematical Modelling and Numerical Analysis ( M2AN), vol. 38, no. 5, pp. 741--756, 2004 .
  3. V.M. Miklyukov, S.-S. Chow, V.P. Solovjov, s-Zones of ideal flows in narrow bands, International Journal of Mathematics and Mathematical Sciences, vol. 2004:62 , pp. 3339--3356, 2004. 
  4. A Power Series in Small Energy for the Period of the Lotka-Volterra System. S.D.Shih and S.-S. Chow, Taiwanese Journal of Mathematics, vol. 8 , no. 4, 1-23, 2004.
  5. Numerical Approximations of Degenerate Extended Williamson Fluids using Powell-Sabin-Heindl Elements, S.S.Chow, G.F.Carey, to appear in Current Trends in Scientific Computing, ed. Z.Chen, R.Glowinski and K.Li, AMS Contemporary Mathematics book series, 2003.
  6. Numerical Approximation of Generalized Newtonian Fluids using Powell-Sabin-Heindl Elements: I. Theoretical estimates, S.-S.Chow, G.F.Carey, International Journal of Numerical Methods in Fluids, vol. 41, pp. 1085--1118, 2003.
  7. Equivalence of $n$-point Gauss-Chebyshev rule and 4n-point midpoint rule in computing the period of a Lotka-Volterra system, S.-D.Shih and S.-S.Chow,  to appear in Advances in Computational Mathematics.
  8. W.Barth, G.F. Carey, S.-S.Chow, B.Kirk, Finite Element Modeling of Generalised Newtonian Flows,  Proceedings of the Fourteenth Australasian Fluid Mechanics Conference, Adelaide, Australia in Dec 9-14, 2001.
  9. S-S.Chow, Finite Element Approximations in Saturated Groundwater Flows, in Finite Element Modeling of Environmental Problems, ed. G.F. Carey, Wiley, 1995.
  10. S.-S.Chow and G.F.Carey, Superconvergence Phenomena for Nonlinear Two Point Boundary Value Problems, Numerical Methods for Partial Differential Equations, Vol.9, n 5, pg 561, Sept 1993.
  11. S.-S.Chow and R.S.Anderssen, Determination of the Transmissivity Zonation using a Linear Functional Strategy, Inverse Problems, Vol.7, n. 6, pg 841, Dec 1992.
  12. A.I.Pehlivanov, R.D.Lazarov, G.F.Carey, and S.-S. Chow, Superconvergence Analysis of Approximate Boundary- Flux Calculations, Numerische Mathematik, Vol.63, n. 4, pg 483, 1992.
  13. S.-S.Chow, Finite Element Error Estimates for a Blast Furnace Gas Flow Problem, SIAM Journal of Numerical Analysis, Vol.29, n 3, pg 769, June 1992.
  14. S.-S.Chow, G.F.Carey and R.D.Lazarov, Natural and Postprocessed Superconvergence in Semilinear Problems, Numerical Solution of Partial Differential Equations, Vol.7, n. 3, pg 245, Fall 1991.
  15. R.S.Anderssen and S.-S.Chow, Resolving the Transmissivity Zonation in a confined Aquifer, Proceedings of Mini-conference on Inverse Problems, Aug. 1990, Centre for Math.Analysis, Australian National University, ed. R.S.Anderssen and A.Pani, 1991.
  16. S.-S.Chow, Finite Element Error Estimates for Nonlinear Elliptic Equations of Monotone Type, Numerische Mathematik, Vol.54, n. 4, pp 373-393, 1989.
  17. S.-S.Chow and R.D.Lazarov, Superconvergence Analysis of Flux Computations for Nonlinear Two Point Boundary Value Problems, Bulletin of the Australian Mathematical Society, Vol.40, n. 3, pg 465, Dec 1989. 
  18. G.F.Carey and S.-S.Chow, Well Singularities in Reservoir Simulation, Society of Petroleum Engin. Reservoir Engineering, pp 713-719, Nov.1987.
  19. S.-S.Chow, A Note on Quasi-Monotone Operators, International Journal of Mathematics and Mathematical Sciences, Vol.10, No.1, pp 203-204, 1987.
  20. S.-S.Chow and G.F.Carey, Error Estimates of Galerkin Approximations of Subsonic Flows, Journal of the Australian Mathematics Society, Series B, Applied Math., Vol.29, pp 88-102, 1987.
  21. G.F.Carey, S.-S.Chow, and M.Seager, Approximate Boundary Flux Calculations, Computer Methods in Applied Mechanics and Engineering, Vol.50, pp 107-120, 1985.
  22. S.-S.Chow, Finite Element Approximations of Unidirectional Nonlinear Seepage Flows, in Computational Techniques and Applications: CTAC-83, ed.~J.Noye and C.Fletcher, North-Holland, Amsterdam, pp 577-590, 1984.
  23. S.-S.Chow, Finite Element Error Estimates for Nonlinear Elliptic Problems of Monotone Type, Ph.D. Thesis, Department of Mathematics, Faculty of Science, Australia National University, April, 1983.
  24. S.-S.Chow, R.S.Anderssen and F.R. de Hoog, The Application of the Finite Element Method to Fluid Flow in Packed Bed Reactors, in Proceedings of the Fourth International Conference in Australia on Finite Element Methods, ed. P.J.Hoadley and L.K.Stevens, University of Melbourne, Australia, August 1982, pp 54-58.

Non-Refereed Publications

  1. S.-S. Chow, Singular Value Decomposition and its Applications, Research Report No.15, Dept.of Mathematics, Univ.of Canterbury, Christchurch, New Zealand, October, 1980.
  2. S.-S. Chow, R.S. Anderssen and F.R. de Hoog, The Application of the Finite Element Method to Fluid Flow in Packed Bed Reactors, in Proceedings of the Fourth International Conference in Australia on Finite Element Methods, ed. P.J. Hoadley and L.K. Stevens, University of Melbourne, Australia, August 1982, pp 54-58.
  3. S.-S. Chow, Finite Element Error Estimation for Nonlinear Elliptic Problems: I. Equations of Monotone Type,  Report CMA-R24-83, Centre for Mathematical Analysis, A.N.U., Canberra, Australia, May, 1983.
  4. S.-S. Chow, Some Aspects of Finite Element Approximation Theory for Strongly Nonlinear Problems,  Report CMA-R25-83, Centre for Mathematical Analysis, A.N.U., Canberra, Australia, May, 1983.
  5. S.-S. Chow, Finite Element Analysis of a Three Dimensional Magnetostatic Field Distribution Problem,  Report CMA-R29-83, Centre for Mathematical Analysis, A.N.U., Canberra, Australia, August, 1983.
  6. S.-S. Chow, A Nonlinear Spherically Symmetric Seepage Flow Problem, in  Proceedings of the Fifth International Symposium on Finite Element Methods in Flow Problems, University of Texas at Austin, Austin, Texas, January, 1984.
  7. S.-S. Chow and G.F. Carey, Error Estimates of Galerkin Approximations of Subsonic Flows,  TICOM report 85-12, Univ. of Texas at Austin, September 1985. 
  8. S.-S. Chow and R.D. Lazarov, Superconvergence Analysis of Flux Computations for Nonlinear Two Point Boundary Value Problems, Report CMA-R09-88, Centre for Math.Analysis, A.N.U., Canberra, Australia, March 1988.
  9. S.-S. Chow and G.F. Carey, Superconvergence Phenomena for Nonlinear Two Point Boundary Value Problems,  Enhanced Oil Recovery Institute Preprint 1989--??, Univ.of Wyoming, Laramie, WY, 1989.
  10. R.D. Lazarov, A.I. Pehlivanov, S.-S. Chow and G.F. Carey, Superconvergence Analysis of the Approximate Boundary- Flux Calculations,  Enhanced Oil Recovery Institute Preprint 1989--08, Univ.of Wyoming, Laramie, WY, 1989.
  11. R.S. Anderssen and S.-S. Chow, Resolving the Transmissivity Zonation in a confined Aquifer,  Proceedings of Mini-conference on Inverse Problems, Aug. 1990, Centre for Math. Analysis, Australian National University, ed. R.S. Anderssen and A. Pani, 1991.
  12. S.-S. Chow and R.S. Anderssen, Determination of the Transmissivity Zonation using a Linear Functional Strategy, Report CMA-R??-91, Centre for Math. Analysis, Australian National University, 1991.
  13. S.-S. Chow, Error Estimates for the Galerkin Approximations of Stream Functions in Nonlinear Flows,  Research Report MA-92-03, Dept of Mathematics, City Polytechnic of Hong Kong, 1992.
 


Non-Mathematical Publications

  1. S.-S. Chow, The emergence of the other ATM: Asynchronous Transfer Mode, Credit Union Journal, May 21, 1997.