Publication of Research Articles

 

1.      A Comparative Study of the Flow Field about an Oscillating Flat Plate with the Numerical Solution of the Navier--Stokes Equations:  AIAA Paper No. 69-226, February 1969.

 

2.      Numerical Studies of Navier-Stokes' Equations with an Application to a Circular Cylinder:  Ph.D. Dissertation at Aerophysics and Aerospace Engineering Department, Mississippi State University, Mississippi State, Mississippi 39762, May 1970.

 

3.      Inductive Methods of Teaching Programming Languages: ACM-SIGCSE Bulletin, Volume 5, No. 1, February 1973.

 

4.      Numerical Solution of a System of Nonlinear Equations by Perturbations: Demonstratio Mathematica, Volume IX, No. 4, 1976.

 

5.      Perturbed Iterative Solution of Nonlinear Equations with Applications to Fluid Dynamics. Journal of Computational and Applied Mathematics, Vol. 3, No.1, 1977.

 

6.      Computer Programming of Fluid Flow Phenomena Past a Circular Cylinder: CoED Tran. of Am. Soc. of Eng. Education, Vol. VIII, No. 12, December 1976.

 

7.      Numerical Studies of a Perturbed Iterative Scheme with Applications to Coupled Nonlinear Systems of Equations:  Applied Physics Division, Argonne National Laboratory,ANL/FPP/TM-66, September  1977.

 

8.      Applicabilities of a Perturbed Functional Iteration on Operation Research: Proceedings on All India Conference on Operation Research, Jadavpur University, October 1977.

 

9.      Numerical Solution of Nonlinear Implicit Finite Difference Equations of Flow Problems by Perturbed Functional Iterations:  Proc. of the Conference on Computational Fluid Dynamics, von Karman Institute Lecture Series, 1978-4, March 1978.

 

10.  Some Comparison between Theoretical and Experimental Studies of Cooling Tower Plumes: Proceedings from the Conference on Pollutant Dispersal, von Karman Institute Lecture Series, 1978--7, May 1978.

 

11.  Perturbed Iterative Solution of Coupled Nonlinear Systems with Applications to Fluid Dynamics: Journal of Comp.and Appd. Math, Vol. 4, No. 2, June 1978

 

12.  Analytical vs. Implicit Numerical Solution of Certain Fluid Flow Problems: Bulletin of Calcutta Mathematical Society, Vol.70, No. 3, 1978.

 

13.  Numerical Instabilities of Nonlinear Partial Differential Equations: CFT, 7800/SKE/, IE, von Karman Institute for Fluid Dynamics, Rhode-St-Genese, Belguim, 1978.

 

14.  Numerical Solution of Nonlinear Equations with Real and Complex Variables: Journal of the Franklin Institute, Vol. 307, No. 1, 1979.

 

15.  Effects of Initial-Boundary Conditions on the Explicit Finite Difference Solution of Navier-Stokes' Equation:  ZAMM, Band '59, Heft5, 1979.

 

16.  Finite Difference Analysis of Time-Dependent Flow at Large Reynolds's Nos.: Bulletin of Calcutta Math. Soc., Vol. 74, 1982.

 

17.  Nonlinear Discretization Errors in Partial Difference Equations, BIT, Band 20, Heft 1, 1980.

 

18.  Convergence Analysis of a Perturbed Iterative Scheme for Solution of Nonlinear Systems: Intl. J. of Math and Math Sciences, 1981.

 

19.  PIS for n-Coupled Nonlinear Systems:  Intl. J. of Math and Math Sciences, Vol. 3, No. 4, 1980.

 

20.  A Numerical Method for Physiological Flows: Mathematical Biology, Edited by T.A. Burton, Pergamon Press, New York, 1981.

 

21.  Generalized Convergence Analysis of Perturbed Jacobi Iterations: Demonstratic Mathematica, Vol. 14, No. 2, 1981.

 

22.  Error Propagation in Implicit Discretized Viscous Flow Models: ZAMM, Band 61, Heft 2, 1981.

 

23.  Nonlinear Analysis of Grid Error Effects for Numerical Solution of Partial Differential Equations: Proceedings on the Workshop on Grid Generation, NASA-Langley Research Center, Hampton, Virginia, Oct. 6-7, 1980.

 

24.  Analysis and Applications for a Perturbed Iterative Scheme (PIS) to Nonlinear Discretized Flow Models: Proceedings on International Congress on Numerical Methods for Engineering, Paris, France, Dec. 1-5, 1980.

 

25.  Applications of D-Mapping to Numerical Fluid Flow: Proceedings on International Symposium on Nonlinear Mechanics, Kharagpur, India, Dec.17-20,1980.

 

26.  A Finite Difference Algorithm for Coupled Nonlinear Ordinary Differential Equations, International Journal of Computer Mathematics, Vol. 10, No. 1, 1981.

 

27.  On Transient Mappings.The Journal of the Indian Academy of Mathematics, Vol. 3, No. 1, 1981.

 

28.  Applications of Microcomputers in Computational Fluid Dynamics.  Proc. Conf. on Microcomputer Simulations, Society for Comp. Simulation. Jan, 1982, San Diego

 

29.  Numerical Solution of Nonlinear Stiff Initial Value Problems by Perturbed Functional Iterations. NASA-Tech. Memo #84234, 1982.

 

30.  Explicit Finite Difference Predictor and Convex Corrector with Applications to Hyperbolic Partial Differential Equations (with Charlie Dey). Computers & Math. Applications:  An International Journal, Vol. 9 No. 3, 1983.

 

31.  The Role of Homogeneous Reactions in Radiolysis of Water (with A. Chatterjee and J.L. Mage), Radiation Research, 96, 1983.

 

32.  Applications of Perturbed Functional Iterations to Nonlinear Stiff Initial Value Chemical Kinetic Problems. Proc. International Conference on Stiff Computation, April 12-14, 1982, Park City, Utah.

 

33.  Simulations of D-Mappings in Flow Models. Proc. Multi-Conference on Computer Simulations, Society for Computer Simulation, January 1983.  San Diego, CA.

 

34.  Numerical Modeling of D-Mappings with Applications to Chemical Kinetics. Proc. Fourth International Conference on Math. Modeling, Zurich, Swiss. August 15--17, 1983.

 

35.  A Microcomputer Code for Burgers' Equation. (with Charlie Dey). Proc. International Symposium Mini-Microcomputers and Their Applications, MIMI  1983, San Francisco, California.

 

36.  Numerical Studies of a Mathematical Model for Radiolysis of Water.  (with Drs. Chatterjee and Magee). Applied Simulation and Modeling Proc. of the IASTED International Symposium, May 1983, San Francisco, California.

 

37.  An Explicit Predictor-Corrector Solver with Applications to Burgers' Equation. NASA - Technical Memo. Number 84402, Ames Research Center,  Moffett Field, California 94035, September 1983.

 

38.  Numerical Simulation of One Dimensional Transonic Flow in a Microcomputer (with Charlie Dey), Proc. Modeling and Simulations, February 1984, California.

 

39.  An Implicit Numerical Solver of Nonlinear Hyperbolic Partial Differential Equation, 1985. Computer and Math. with Applications:  An International Journal, Vol. 11, No. 1-3.

 

40.  A Degenerate Implicit Code with Applications to Euler's Equation. Proc. Of Fifth IMACS International Conference on Numerical Solutions of PDE's, Lehigh University, June 1984.

 

41.  Numerical Solution of Euler's Equation by Perturbed Functionals, Am. Math. Soc. Lectures in Applied Maths., Vol. 22, 1985.

 

42.  Solve F(x) = 0 using a Microcomputer:  Applied to a flow model. Proc. Multi-Conference on Computer Simulations, January 1985.

 

43.  An Explicit Finite Difference Solver by Parameter Estimation (with Charlie Dey). Engineering Software IV, A Computational Mechanics Publication. Springer-Verlag, June 1985.

 

44.  An explicit Flux Vector Splitting Scheme. Proc. Intl. Congress on Scientific Computation, Oslo, Norway, August 1985.

 

45.  Linearized D-Mapping for Stiff Computations. Numerical Mathematics and Applications, North-Holland, 1986.

 

46.  Numerical Experimentations on Burgers' Equation for Large Reynolds Numbers. Advances in Computational Methods for Partial Differential Equations, Vol. 6, 1987.  (Edited by Robert Vichnovetsky).

 

47.  Accurate Explicit Finite Difference solution of the Shock Tube Problem. Proc. International Conference on Numerical Methods and Approximation, University  of Nis, Yugoslavia, August 1987.

 

48.  Effects of Boundary Conditions on Numerical solution of Hyperbolic Partial Differential Equations. Adv. on Hyperbolic Partial Differential Equations, Vol. V., Pergamon, 1989.

 

49.  A Third-Order Accurate Predictor-Corrector Scheme for Time-Dependent Models, Multi-Conference Proc. SCS, 1991 (January).

 

50.  A Differential Equation Solver for Numerical Models. Multi-Conference Proc. SCS, 1991.

 

51.  Analysis of D-Matrices with Applications to Nonlinear Computational Models, Advances in Computer Methods for Partial Differential Equations VI.

 

52.  Large-Scale Nonlinear Computations for Boundary-Value Problems, appeared in Some Applied Problems in Fluid Mechanics, edited by Dr.H.P.Mazumdar, Published by Indian Statistical Institute '93. Here I accurately solved the flooding models in a channel.

 

53.  Application of Parallel Block Gauss-Jordan Algorithm in computational Fluid Dynamics, a Technical Note. Appeared in Some Applied Problems in Fluid Mechanics, edited by Dr.H.P.Mazumdar, published by Ind. Stat. Institute '93.

 

54.  A Massively Parallel Algorithm for Large-Scale Nonlinear Computation with Applications to Nonlinear Parabolic Partial Differential Equations, Computational Acoustics edited by Lau, Lee and Robinson, North Holland.

 

55.  Applications of PFI to solve Nonlinear Initial Value and Boundary Value Problems, Report NI-93-04 (reviewed) Technical University of Denmark.

 

56.  D-Mapping Analysis for Numerical Solution of Nonlinear Systems with Applications to Differential Equationss, Report NI-93-05 (reviewed Technical University of Denmark (submitted for publication).

 

57.  PFI:  A Matrix-Free Algorithm to Solve Nonlinear Systems with Applications to Flow Models, Department of Fluid Mech. AFM 93-06 ISSN 0590-8809, Technical University of Denmark.

 

58.  Large-Scale Nonlinear Parallel Computations by Perturbed Functional Iterations, Report NI-93-06 (reviewed) Technical University of Denmark, 1993.

 

59.  Large-Scale Nonlinear Parallel Computations by Perturbed Functional Iterations. Parallel Algorithms and Applications, Vol.3, pp. 211-226. Gordon and Beach Sc Publishers, 1994.

 

60.  D-Mapping Analysis for Numerical Solution of Nonlinear Systems with Applications to Differential Equations. Vol.16, No.1,International Journal of Modelling and Simulation, 1996.

 

61.  Matrix Free Nonlinear Solvers. Research Report No. 94/Math/SKD/2. S.N. Bose National Center for Basic Sciences, DB-17, Sector-1, Salt Lake, Calcutta 700064, India, 1994.

 

62.  Numerical Solution of Riccati-type Equations (Research Report for DOE, Ames Laboratory Iowa '94).

 

63.  Invention of Zero, SAMVIT, Vol. 37, pages 33-37 and Vol. 38, pages 37-43, 1997.

 

64.  Analysis of Consciousness in Vedanta Philosophy, Informatica 21, pages 405-419, 1997.

 

65.  Mathematical Studies of Convergence of Information, Informative and Informativism, Cybernetica, Vol. XLI, No. 2/3/4-1998, pages 153-179, 1998.

 

66.  A Mathematical Study of Vedanta Philosophy, Revisiting Indus-Sarasvati Age and Ancient India, edited by Dr. Bhu Dev Sharma and Dr. N. Ghosh, WAVES, USA, pages 294-304, 1998.

 

67.  Transcendence in Informatics, Noetic Journal, Vol. 2, No. 2, 1999, pages 173-178.

 

68.  A Scientific Analysis of Pantheism in the Gospel of Shree Ramakrishna, accepted for publication in Humanistica, Kaunus, Lithuania, 1999.

 

69.  A Novel Explicit Finite Difference Scheme for Partial Differential Equations, International Journal of Mathematical Modelling and Analysis, Vol. 4, 1999.

 

70.  Parallel Solvers for Large-scale Linear and Nonlinear Systems. Journal of Neural, Parallel and Scientific Computations, Vol.7, pages 559--566, 1999.

 

71.  An Explicit Predictor-Corrector Solver with Application to Seismic Wave Modelling (with Phadke and Bhardwaj), accepted for publication in Computers and Geoscience, Pergamon Press, 1999.

 

72.  Quantum Systems Can Realize Content-Addressable Associative Memory (with Perus) accepted for publication in Letters in Applied Mathematics, Pergamon Press, 1999.

 

73.  Meditation:  A Scientific Approach Towards the Absolute, Proc. Intl. Conference on the Significance of Spiritual Culture for the Future of Humanity, September 1999, page 31--34.

 

74.  Analysis of Convergence of parallelized PFI for Coupled Large-Scale Nonlinear System, International Journal of Computational Mathematics, (accepted for publication).

75. S.K. Dey and D. Bhardwaj, Parallelized PFI for large-scale non-linear systems in a distributed computing environment. Applicable Mathematics (Edited by Prof. J.C. Mishra), Nrosa Publications, 2000.