List of Publications
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Publications
a)
1.Introduction
to Numerical Mathematics, A text for the course 6.144/6.120. b) 1.Dislocations
in an infinite isotropic solid containing a cylindricaltunnel,
Journal of the Karnatak University, Vol. V, 1960, 135-142. 2. Dislocation
of translation of the material whose cross-section is bounded by two concentric
ellipses.Proceedings of the National
Institute of Sciences of India, Vol. 26, A, No. 2, 1960, 129-133. 3. Dislocations
in isotropic cylinders of concentric circular cross-section, Journal of
the Karnatak University, Vol. VI, 1961, 99-105. 4.Dislocations
of the materials whose cross-section is bounded by two concentric ellipses,
Proceedings of theNational Institute
of Sciences of India, Vol. 28, A, No. 2, 1962, 287-293. 5. Dislocations
in isotropic cylinders of eccentric circular cross-sections, Quarterly
Journal of Mechanics and Applied Mathematics, Vol. l6, Part 2, 1963,129-136. 6. Plane
strain dislocations in orthotropy, Proceedings of the National Institute
ofSciences of India, Vol. 29, A,
No. 6, 1963, 670-675. 7.A
note on a paper by Milne-Thomson, Proceedings of the Cambridge Philosophical
Society, 61, 1965, 300-301. 8. Diagonally
dominant infinite matrices in linear equations, Utilitas Mathematica, Vol.
1, 1972, 235-248. 9. Linear
equations in infinite matrices, Journal of Linear Algebra and its Applications,
Vol. 7, 1973, No. l, 553-562 (with R. Wong). 10. Viscous
flow in pipes whose cross-sections are doubly connected regions,Applied
Scientific Research, Vol. 27, 1973, 355-365. 11. A
sufficient condition for the vanishing of determinants, Procedings of the
American Mathematical Society, Vol. 43, No. 1, 1974, 63-66 (with K. H.
Chew). 12. Iterations
for diagonally dominant matrices, Bulletin of the Canadian Mathematical
Society, Vol. 19 (3), 1976, 375-377 (with K. H. Chew). 13.On
the conformal mapping of a circular disc with a curvilinear polygonal hole,Proceedingsof
the Indian Academy of Sciences, Vol. 85, A, No. 6, 1977, 406-414 (with
K. H. Chew). 14. Asymptotic
expansion of multiple Fourier Transforms, SIAM Journal of Mathematical
Analysis, Vol. 10, No. 6, Nov. 1979, 1095-1104 (with R. Wong). 15.On
some aspects of infinite matrices, Proceedings of the Conference on Matrix
Algebra, MATSCIENCE, India, 1 1977 (24 pages). 16.Error
bounds for the truncation of infinite linear differential systems, Journal
of the Institute of Mathematics and its Applications, Vol. 25, 1980, 37-51
(with K. H. Chew and 98. J. Williams). 17.Asymptotic
expansion of the Lebesgue constants associated with polynomial interpolation,
Mathematics of Computation, Vol. 39, 1982, 195-200 (with R. Wong). 18.On
solutions of Poisson's equation for doubly connected regions, Pusat Pengajan
Sains Matematik, University Sains Malaysia, Tech. Rep., 2/82, (with K.
H. Chew). 19. Bounds
for solutions of linear systems, Pusat Pengajan Sains Mathmatik, University
Sains Malaysia, Tech. Rep. 1/83 (with K.H. Chew). 20. Longitudinal
disperson of tracer particles in a channel bounded by porous media using
a slip condition, International Journal of Mathematics and Mathematical
Sciences, Vol. 7, 4, 1984, 755-764 (with N. Rudraiah and others). 21.Numerov's
method for nonlinear two point boundary value problems, International Journal
of Computer Mathematics, Vol. 17, 1985, 167-176 (with M. M. Chawla). 22
(a)Modelling of the human heart inside
the pericardium, (with C. S. Man and S. W. Rabkin),Proceedings
of the CANCAM Conference, 1985, E59-E60. (b)IMA
Preprint Series #265, Sept. 1986, Institute of Mathematics and its Applications,
University of Minnesota. 23.Closed
form for unsteady convective diffusion in a fluid saturated sparsely packed
porous medium with the convective acceleration, International Communications
in Heat and Mass Transfer, Vol. l4, 1987, 137-145 (with N. Rudraiah). 24.A
finite difference method for a class of two point b.v.p.s over a semi-infinite
range, Journal of Computational and Applied Mathematics,15,
1986, 251-256 (with M. M. Chawla). 25. Eigenvalues
for infinitematrices, Journal of
Linear Algebra and its Applications,1987
Vol. 96, 35-63 (with N. Rudraiah and J. J. Williams). 26.Fluid
movement in a channel of varying gap with permeable walls covered with
porous media, International Journal of Engineering and Science, Vol. 24,
No. 4, 1986, 479-492 (with S. Nagaraj, R. Veerabhadriah, N. Rudraiah). 27. On
the existence of solutions of a class of singular nonlinear two point boundary
value problems Journal of Computational and Applied Mathematics, 19,1987,
379-388. 28.Modelling
of the heart and pericardium at end-diastole, Journal of Biomechanics,
22, 1989, 201-209 (with C. S. Man and S. W. Rabkin). 29.Numerov's
method for nonlinear two point boundar value problems II, International
Journal of Computer Mathematics, 26, 1989, 219-227 (with M. M. Chawla and
R. Subramanian). 30.An
iterative method with truncation for infinite linear systems, Journal of
Computational and Applied Mathematics, 24, 1988, 109-207 (with J. J. Williams). 31.Error
bounds for a uniform asymptotic expansion of LegendrefunctionP,Quarterly
of Applied Mathematics (Vol. XLVI, Sept. 1988, 483-488) (with R,. Wong). 32.Effect
of slip and magnetic field on composite systems, Fluid Dynamics Research,
4, 1988, 255-270 (with N. Rudraiah and D. Pal). 33.A
recursive partitioning algorithm for inverting tridiagonal matrices, International
Journal of Computer Mathematics 1990, 35, 153-158 (with M. M. Chawla and
K. Passi). 34.On
some higher order derivatives of solutions ofy"
+ p(x)y = 0, Utilitas Mathematica, 41,1992 3-10 (with I. Leung) . 35.Symmetric
finite difference method for computing eigenvalues of Sturm-Liouville problems
(with M. M. Chawla), Computers and Mathematics with Applications. 36.A
fast parallel algorithm for the solution of tridiagonal linear systems,
International Journal of Computer Mathematics 45,1992, 113-121 (with M.
M. Chawla). 37. On
Poisson's equation for doubly connected regions , Canadian Applied Mathematics
Quarterly, Vol.1, No. 4, Fall 1993 (with C. Ji). 38.Upper
and lower bounds for inverse elements of finite and infinite tri-diagonal
matrices,Linear Algebra and its
Applications 247:297-316, 1996(with
C. Ji). 39.Bounds
for the width of instability intervals in the Mathieu equation, accepted
for publication in the Proceedings of the International Conference on Applications
of Operator Theory, Birkhauser series "Operator Theory: Advances and Applications",
Vol.87, 348-357, 1996(withQ. Ye)
. 40.An
efficient fourth order finite difference method for general nonlinear two-point
boundary value problems, Neural, Parallel and Scientific Computations,
Vol. 4, No. 3, September 1996. 41.Delay
time bounds for RC ladder networks, IEEE Transactions on Circuits and Systems,
I: Fundamental Theory and Applications, Vol.43, No.7,613-614,
July 1996 (with C. A. Marinov). 42. On
two-sided bounds related to weakly diagonally dominant M-matrices with
application to digital circuit dynamics, accepted for publication in Siam
J. Matrix Analysis and Applications, Vol.17, No.2, 298-312, April 1996
(with J. J. Williams, Q. Ye and C. Marinov). 43.A
finite element method for double integrals with application to a Dirchlet
problem arising in fluid dynamics, Communications in Numerical Methods
in Engineering, Vol. 13, 627-634, 1997 (with N. Yan and C. Ji). 44.Flow
past and through a porous medium in a doubly connected region, Applied
Mathematics Letters, Vol. 11, No. 2, pp. 49-54, 1998 (with M. Luca and
S. Kocabiyik) 45.On
the nonsingularity of matrices with certain sign patterns, Linear Algebra
and its Applications 273:29-43, 1998 (with C. Ji). 46.An
analysis of groundwater flow in an infinite region with a sinusoidal top,
J. Numerical Functional Analysis and Optimization, Vo.21, No.1-2, 263-271,
2000(with J.J.Williams, Q.Ye, C.Ji) 47.Inequalities
for the minimal eigenvalue of the Laplacian in an annulus, Mathematical
Inequalities & Applications, Vo. 1, No. 4, 559-563. 1998 (with A. G.
Ramm). 48.On
the double points of a Mathieu equation, J.of Computational and Applied
Mathematics, 109, 111-125, 1999 (with J. Xue). 49.A
Mathematical model for the dynamics of HIV-1 during the typical course
of infection, Nonlinear Analysis 47, 1773-1783, 2001 (with A.B.Gumel, B.M.Sahai). 50.Numerical
modelling of the perturbation of HIV-1 during combination anti-retroviral
therapy, Computers in Biology and Medicine 31, 287-301, 2001 (with A.B.Gumel,
T.D.Lowen, B.M.Sahai, P.Yu, M.L.Garba). 51.A
new mathematical model for assessing therapeutic strategies for HIV infection,
J.of Theoretical Medicine, Vol.4(2), 147-155 (with A.B.Gumel, Xue-Wu Zhang,
M.L.Garba, B.M.Sahai). 52.Mathematical
modeling of ice on transmission lines, accepted for publication, Proceedings
of the International Conference on Industrial Mathematics, IIT, Bombay,
India (with S.H.Lui, R.Thulasiram). 53.Mathematical
model of ice melting on transmission lines, sent for publication (with
S,Yu.Sadov, D.Firsov, S.H.Lui, R.Thulasiram). 54.On a spectral decomposition of a finite difference operator, sent for publication (with S.H.Lui).
55.On the eigenvalue problem -y"+ f(x) y =
56.Spectral decomposition of a finite-diference operator, International Journal of Computer Mathematics Vol. 82, No. 10 Oct. 2005, 1275-1286 (with S.H.Lui).
57.Modelling the effect of CSII on the control of glucose concentration in type 1 diabetes, Applied Mathematics and Computation available online at ScienceDirect (with Nilam, Murray E. Alexander, Ruchi Mathur, Seyed M. Moghadas).
58.Mathematical Modeling of Ice Melting on Transmission Lines, J Math Model Algor DOI 10.1007/s10852-006-9043-4(with S. Yu. Sadov, D. Firsov, S.H.Lui, R. Thulasirm)
59.Flow of fluid through a pipe whose cross-section is bonded by eccentric circles, sent for publish (with Y. Wu)
60.Eigenvalues of the Laplacian on an elliptic domain, accepted for
publication in Computers and Mathematics with Applications(with Y.Wu) OTHER: 1.Uniqueness
Theorems in Linear Elasticity by R. J. Knops and L. E. Payne, Canadian
Mathematical Bulletin, Vol. 3, 1975 (Book Rev.) 2.Recent
Developments in Operator Theory and Applications, Operator Theory: Advances
and Applications, Vol. 87, (Editors: P. N. Shivakumar, I. Gohberg and P.
Lancaster). 3.Proceedings
of International Conference on Porous Media in Science, Engineering and
Industry, Hawaii, 1997, (Editors: P. N. Shivakumar and K. Vafai). 4.Special
Issue of the Symposium on Fast Algorithms for Control, Signals and Image
Processing, International Linear Algebra Society, 1998 (Editors: D. P.
O'Leary, H. Park, A. H. Sayed and P. N. Shivakumar). 5.Associate
Editor, Journal on Porous Media, published by Marcel Dekker, 1997. 6.Proceedings
of the International Conference on Operator Theory and its Applications
to Scientific and Industrial Problems, October 7-11, 1998, Winnipeg.(Editors:
A. G. Ramm, A. V. Strauss and P. N. Shivakumar).Fields
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