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; Nonlin. Anal.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. Comput. Ph. 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. Appl. Maths.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. Appl. Maths. 11, (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.Appl. Maths.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. Theor. Biol, 163,
135, 1993; Physica D., 63, 161,
1993).
16. Lane, D.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. Phys. 29 (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 D. 39 (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, Mathl. Comput.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 Review, 36 (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, Mathl. Comput.Modelling, 21 (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
Applications, 30 (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 Letters, 9
(1996),
83-87.
36. Drake, R., Manoranjan,
V.S., A dynamic mesh adaptation technique, Int. J. Num. Meth. Eng., 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 Computing, 11 (1996), 1-12.
39. Manoranjan, V.S.,
Stauffer, T.B., Exact solution for contaminant transport with
kinetic Langmuir sorption, Water
Resources Research, 32 (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, Mathl. Comput.Modelling, 28
(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
Engineering, 124 (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