SELECTED PUBLICATIONS 


1. Manoranjan, V.S., A finite element method for solving the Klein-Gordon equation, Poster Session Abstract, MAFELAP IV(Ed. J. R. Whiteman),    Academic Press (1982), 528. (Cited inComput.Meth.45, 177, 1984).
2. Mitchell, A.R., Manoranjan, V.S., Finite element studies in reaction-diffusion, MAFELAP IV(Ed. J. R.Whiteman), Academic Press (1982), 17-36. (Cited in J. Comput.Ph. 63, 33, 1986; J. Comput.Ph. 82, 454, 1989).
3. Manoranjan, V.S., Some numerical experiments on Higgs model, Comp. Phys. Comm.29 (1983), 1-5.
4. Manoranjan, V.S., Mitchell, A.R., A numerical study of the Belousov-Zhabotinskii reaction using Galerkin finite element methods, J. Math. Biol.16, (1983), 251-260. (Cited in Int. J. Num. M. 20, 778, 1984; NonlinAnal.11, 1289, 1987; P. Roy.Soc.A, 430, 541, 1990).

5. Sanz-Serna, J.M., Manoranjan, V.S., A method for the integration of certain partial differential equations, J. Comp. Phys.52, (1983), 273-289. (Cited             in Comput.Meth.44, 229, 1984; Math.Comput.43, 21, 1984; J. Phys. B. 17, 2591, 1984; Numer.Math.45, 173, 1984; J. Comput.Ph. 60, 263, 1985;             J. Comput. Ph. 60, 282, 1985; SIAM J. SCI. 6, 923, 1985; IMA J. Num. A. 6, 25, 1986; J. ComputPh. 67, 348, 1986; J. Math.Anal.116, 456,                     1986; SIAM J. Num. 23, 485, 1986; Comput.Meth.61, 71, 1987; SIAMJ. A. MA.47, 92, 1987; SIAM J. SCI. 8, 988, 1987; J. Comput.Ph. 87, 108,                 1990; Comput. Mat. 19, 51, 1990; Comput. Mat. 19, 67, 1990).

6. Manoranjan, V.S., Numerical studies of reaction-diffusion problems, Applied Mathematical Analysis: Mathematics in Medicine and Biomechanics (Ed.         G.F. Roach), Shiva Publishing Limited (1984), 73-90.

7. Manoranjan, V.S , Mitchell, A.R., Sleeman, B.D., Kuo Pen-Yu, Bifurcation studies in reaction-diffusion, J. Comp. ApplMaths.11 (1984), 27-37. (Cited     in IMA J. App. M. 33, 153, 1984; SIAM J. SCI. 7, 589, 1986; Math. Biosci.79, 199, 1986; J. Comp. A. MA.11, 307, 1984; P. Roy.Soc.A, 430, 541, 1990;     J. Comput.Phy.97, 249, 1991).

8. Manoranjan, V.S., Bifurcation studies in reaction-diffusion II, J. Comp. ApplMaths11, (1984), 307-314. (Cited inSIAM J. SCI. 7, 599, 1986; P.                 Roy. Soc.A, 430, 541, 1990).


9. Manoranjan, V.S., Mitchell, A.R., Morris, J. L., Numerical solutions of the "good" Boussinesq equation,SIAM. J. Sci. Stat. Comput.5, (1984), 946-957.         (Cited in Wave Motion, 8, 305, 1986; J. Phys. Jpn.57, 2207, 1988; J. Math. Phys. 29, 1964, 1988; J. Physique 50, 33, 1989; Numer.Math.58, 215, 1990;     Math.Compu.57, 109, 1991).

10. Mitchell, A. R., Manoranjan, V. S., Numerical studies of bifurcation and pulse evolution in mathematical biology, MAFELAP V(Ed. J.R. Whiteman),          Academic Press (1985), 175-191. (Cited in P. Roy.Soc.A, 430, 541, 1990).

11. Guo, Ben-Yu, Manoranjan, V.S., A spectral method for solving the RLW equation, IMA. J. Num.Anal.5(1985), 307-318.

12.Tyson, J.J., Manoranjan, V.S., The speed of propagation of oxidizing and reducing wave fronts in the Belousov-Zhabotinskii reaction, Non-Equilibrium
     Dynamics in Chemical Systems, (Eds.C.Vidal and A. Pacault), Springer-Verlag (1985), 89-93. (Cited inPhysica D, 21, 307, 1986; Int. R. Ph. Ch., 5, 1,     1986; Physica D, 30, 177, 1988; J. Chim. Phys., 84, 1359, 1987; Physica D, 32, 327, 1988; Physica D, 29, 215, 1987; SIAM J. A. MA., 49, 539, 1989).

13. Eilbeck, J.C., Manoranjan, V.S., A comparison of basis functions for the pseudo-spectral method for a model problem, J. Comp.ApplMaths.15 (1986),      371-378. (Cited inAppl. Math.Modelling, 15, 1991).

14. Manoranjan V.S., van den Driessche, P., On a diffusion model for sterile insect release, Math. Biosc.79, (1986), 199-208. (Cited in Math.Biosc.16, 221,      1993).

15. Nagorcka, B.N., Manoranjan, V.S., Murray, J.D., Complex spatial patterns from tissue interactions - an illustrative model, J. Theor. Biol., 128, (1987),         359-374. (Cited in J. Theor.Bio.135, 371, 1988; Development.103, 245, 1988; Phys. Report 172, 59, 1988; J. Theor.Bio.137, 127, 1989; SIAM J.A.             MA., 50, 628, 1990; IMA J. Math Applied to Medicine & Biol. 9, 227, 1992; 9, 249, 1992; J. TheorBiol, 163, 135, 1993; Physica D., 63, 161, 1993).

16. LaneD.C.Murray, J.D., Manoranjan, V.S., Analysis of wave phenomena in a morphogenetic mechanochemical model and an application to                      post-fertilization waves on eggs, IMA J. Math.Appl. Med. Biol.4, (1987), 309-331. (Cited in Phys. Report 172, 59, 1988; Bull. Math.Biol., 55, 315,             1993).

17. Powell, T.M., Wilmott, S., Murray, J.D., Manoranjan, V.S., Transient spatial patterns in plankton communities: blooms and travelling waves of                   phytoplankton in estuaries, ICTP Research Conference on Mathematical Ecology, (Eds. T.G. Hallam, L.J. Gross and S.A. Levin), World Scientific               Publishing, (1988), 236-267.

18. Manoranjan, V.S., Ortega, T, Sanz-Serna, J.M., Soliton and anti-soliton interactions in the "good" Boussinesq equation, J. Math. Phys29 (1988),              1964-1968. (Cited in J. Numer.Math.58, 215, 1990; Comput.Meth.,80, 417, 1990; Math Compu., 57, 109, 1991; Theoretical and Mathematical                  Physics, 91, 346, 1992).

19. Tyson, J.J., Alexander, K.A., Manoranjan, V.S., Murray, J.D., Spiral waves of cyclic AMP in a model of slime mold aggregation, Physica D39 (1989),      193-207. (Cited inSIAM Rev. 32, 1, 1990; Development 109, 11, 1990; B. Math.Biol. 52, 119, 1990; P. Roy. Soc. B. 240, 555, 1990; J. Australian Math      Soc.-B 35, 145, 1993; Proc. Nat. Acad. Sci., 90, 7332, 1993; Proc. Royal. Soc. London-B 253, 15, 1993).

20. Winkler, M.A., Manoranjan, V.S., Control of Nitrogenous pollution, WATERSHED `89 - The Future for Water Quality in Europe , Vol. II, (Eds. D.          Wheeler, M.L. Richardson and J. Bridges), Pergamon Press, (1990), 463-473.

21. Manoranjan, V.S., Winkler, M.A., Variability reduction model for wastewater treatment,WATERSHED `89 - The Future for Water quality in Europe ,      Vol. II, (Eds. D. Wheeler, M.L. Richardson and J. Bridges),Pergamon Press, (1990), 515-518.

22. Sanadi, A.R., Subramanian, R.V., Manoranjan, V.S., The interphasial region in interlayer fiber composites, to appear in Polymer Composites, 12 (1991),       377-382.

23. Athalye, A., de Sam Lazaro, A., Manoranjan, V.S., Generalized model for a force-sensing grip on a peg, MathlComput.Modelling16 (1992), 99-107.

24. Edwards, D., Manoranjan, V.S., de SamLazaro, A., Athalye, A., On designing a fuzzy control system using an optimization algorithm, Fuzzy Sets and          Systems,56 (1993), 281-290.

25. Manoranjan, V.S., Drake, R., A spectrum enveloping technique for convection-diffusion computations, IMA. J. Num. Anal.13 (1993), 431-443.


26. Jung, T., Subramarian, R.V., Manoranjan, V.S., Prediction of fibre strength at the critical length: A simulation theory and experimental verification              for bimodally distributed carbon fibre strengths, J. Matherials Science28 (1993), 4489-4496.

27. Stauffer, T., Manoranjan, V.S., The use of grain-size analysis with limited field data to study hydraulic conductivity variability, Aviation, Space and              Environmental Medicine, May 1994, A125-A130.

28. Wollkind, D.J., Manoranjan, V.S., Zhang, L., Weakly Nonlinear Stability Analyses of Prototype Reaction-Diffusion Model Equations, SIAM Review36 (1994), 176-214.
29. Manoranjan, V.S., Price, T.M., A competition model for tumor growth, Progress in Biochemistry and Biotechnology,4 (1994), 59-68.
30. Manoranjan, V.S., de Sam Lazaro, A., Edwards, D., Athalye, A., A Systematic approach to obtaining fuzzy sets for Control Systems, IEEE
Transactions on Systems, Man and Cybernetics
, 25 (1995), 206-213.

31. Manoranjan, V.S., Gomez, M.O., On homoclinic waves in a contaminant transport model, MathlComput.Modelling21 (1995), 35-41.
32. Manoranjan, V.S., Analytic solutions for contaminant transport under nonequilibrium conditions, Applied Scientific Research,55 (1995), 31-38.
33. Manoranjan, V.S., Gomez, M.O., Alternating direction implicit methods with upwinding,Computers and Mathematics with Applications30 (1995),           47-58.
34. Burris, D.R., Campbell, T.J., Manoranjan, V.S., Sorption of trichloroethylene and tetrachloroethylene in a batch reactive metallic iron-water system,            Environmental Science and Technology
29 (1995), 2850-2855.
35. Manoranjan, V.S., Gomez, M.O., Chang, C-M., Exact solution for contaminant transport with nonlinear sorption, Applied Mathematics Letters9                   (1996), 83-87.
36. Drake, R., Manoranjan, V.S., A dynamic mesh adaptation technique, Int. J. Num. MethEng.39 (1996), 939-949.
37. Manoranjan, V.S., A two-step iterative method, Numerical Analysis (A.R. Mitchell 75th Birthday Volume), (Eds. D.F. Griffiths and G.A. Watson),               1996, 177-187.
38. Manoranjan, V.S., Song, Y., A simple ILU preconditioning coupled to Orthomin method, Journal of Scientific Computing11 (1996), 1-12.
39. Manoranjan, V.S., Stauffer, T.B., Exact solution for contaminant transport with kinetic Langmuir sorption, Water Resources Research32 (1996),               749-752.
40. Manoranjan, V.S., Olmos-Gomez, M., A two-step Jacobi type iterative method, Computers and Mathematics with Applications,34 (1997), 1-9.
41. Raghavan, J., Manoranjan, V.S., Arnoldi-Chebyshev approach for convection-diffusion computations, Computers and Mathematics with                               Applications,36 (1998), 95-105.
42. Chang, C.M., Manoranjan, V.S., Travelling wave solutions of a contaminant transport model with nonlinear sorption, MathlComput.Modelling28               (1998), 1-10.
43. Burris, D.R., Allen-King, R.M., Manoranjan, V.S., Campbell, T.J., Loraine, G.A., Deng, B., Chlorinated ethene reduction by cast iron: Sorption and           mass transfer, J. Environmental Engineering124 (1998), 1012-1019.
44. Manoranjan, V.S., Qualitative study of differential equations, MAA Notes #50, Revolutions in Differential Equations – Exploring ODEs with Modern          Technology, (M.J. Kallaher, Ed.), (1999), 59-65.
45. Manoranjan, V.S., Environment, Mathematicians and Models, Pragna – Research Bulletin, IFS, (1999).
46. Patton, R.L., Manoranjan, V.S., Watkinson, A.J., Plate formation at the surface of a convecting fluid, Proceedings of the XIIIth International Congress           in Rheology, British Society of Rheology (2000), 167-169.
47. Song, Y., Edwards, D., 
Manoranjan V.S., Fuzzy cell mapping applied to autonomous systems, Proceedings of the 21st Computer and Information in           Engineering Conference, Pittsburgh (2001).
48. Manoranjan, V.S., Stauffer, T.B., Analytical solution for solute transport with Freundlich sorption, Dynamics of Continuous, Discrete and Impulsive           Systems - Series A: Mathematical Analysis 10 (2003), 851-861.

 Last Updated : December 2003