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Prof. Man M. Chawla |
Kuwait University, Faculty of Science, Dept. of Mathematics and Computer Science.
Electronic mail address: chawla@mcs.sci.kuniv.edu.kw, drmmchawla@yahoo.com
Current Research Interests
- Computational ODEs and PDEs
- Computational Linear Algebra
- Computational Financial Mathematics
__________________________________________________________________________
Fellowships
- Fellow, Indian National Science Academy
- Fellow, Institute of Electronics & Telecommunication Engineer
- Fellow, Institute of Mathematics & Its Applications
__________________________________________________________________________
Associate Editor
· International Journal of Computer Mathematics
Research Publications
162. M.M. Chawla, A class of linearly implicit Newmark-type methods for second order
initial value problems,
Intern. J. Appl. Math., to appear.
161. M.M. Chawla, Numerov-type P-stable linearly implicit schemes for second order initial
value problems,
Intern. J. Pure Appl. Math., to appear.
160. M.M. Chawla and D.J. Evans, A new L-stable Simpson-type rule for the diffusion
equation,
Intern. J. Computer Math., to appear.
159. M.M. Chawla, Linearly implicit extended trapezoidal formulas for nonlinear
differential equations,
Intern. J. Appl. Math., 16 (2004), 85-99.
158. M.M. Chawla, Numerical valuation of options with transaction costs,
Intern. J. Pure Appl. Math., 17 (2004), 561-570.
157. R.R. Khazal and M.M. Chawla, A parallel Choleski algorithm for the solution of
symmetric linear systems,
Intern. J. Math. & Math'l Sciences, 25 (2004), 1315-1327.
156. M.M. Chawla, Finite difference methods for the Black-Scholes equation and valuation
of options,
Intern. J. Appl. Math., 15 (2004), 61-85.
155. M.M. Chawla and D.J. Evans, Numerical volatility in option valuation from Black-
Scholes equation by finite differences,
Intern. J. Computer Math., 81 (2004), 1039-1041.
154. M.M. Chawla, M.A. Al-Zanaidi and D.J. Evans, Generalized trapezoidal formulas for
valuing American options,
Intern. J. Computer Math., 81 (2004), 375-381.
153. M.M. Chawla, A new class of linearly implicit generalized trapezoidal formulas for
nonlinear differential equations,
Intern. J. Appl. Math., 13 (2003), 279-300.
152. M.M. Chawla, M.A. Al-Zanaidi and D.J. Evans, Generalized trapezoidal formulas for
the Black-Scholes equation of option pricing,
Intern. J. Computer Math., 80 (2003), 1521-1526.
151. M.M. Chawla, A new linearly implicit trapezoidal formula for nonlinear parabolic
equations,
Neural, Parallel & Sci. Computations, 11 (2003), 475-484.
150. M.M. Chawla, Tridiagonal solver-based L-stable
one-step schemes for nonlinear
parabolic equations,
Internat. J. Computer Math., 80
(2003), 1139-1145.
149.
M.A. Al-Zanaidi and M.M. Chawla, A class of linearly implicit trapezoidal
formulas
for nonliner parabolic equations,
Intern. J. Appl. Math., 12
(2003), 59-71.
148.
M.M. Chawla and D.J. Evans, Arithmetic complexity of direct solvers for banded
Intern. J. Computer Math., 80
(2003), 473-478.
147.
M.M. Chawla and M.A. Al-Zanaidi, A linearly implicit one-step time
integration
scheme for nonlinear hyperbolic
equations in two space dimensions,
Intern. J. Computer Math., 80
(2003), 357-365.
146.
M.M. Chawla and R.R. Khazal, A new WZ factorization for parallel solution of
tridiagonal systems,
Intern. J. Computer Math., 80
(2003), 123-131.
145.
M.A. Al-Zanaidi and M.M. Chawla, A high-accuracy box scheme for
first-order
systems of hyperbolic conservation
laws,
Neural, Parallel and Sci.
Computations, 10 (2002), 423-430.
144.
M.A. A,-Zanaidi and M.M. Chawla, A class of modified midpoint formulas
for
parabolic equations,
Intern. J. Appl. Math., 11
(2002), 157-171.
143.
M.A. Al-Zanaidi and M.M. Chawla, A high-accuracy box scheme for characteristic
hyperbolic equations,
Intern. J. Pure & Appl. Math.,
3 (2002), 499-506.
142.
M.M. Chawla and R.R. Khazal, A parallel Householder method for banded linear
Proc. Neural, Parallel & Sci.
Computations, Vol. II, Atlanta, GA, August 2002, pp.
175-178.
141
M.M. Chawla, Simulating diffusion,
Proc. Neural, Parallel & Sci.
Computations, Vol. II, Atlanta, GA, August 2002, pp.
171-174.
140.
M.M. Chawla, M.A. Al-Zanaidi and D.J. Evans, Generalized trapezoidal formulas
for
the symmetric heat equation in polar
coordinates. II, The case of point sources,
Intern. J. Computer Math., 79
(2002), 1187-1200.
139.
M.M. Chawla and R.R. Khazal, A parallel elimination algorithm for banded linear
Intern. J. Pure & Appl. Math.,
2 (2002), 355-370.
138.
M.M. Chawla, "Box" schemes for characteristic hyperbolic equations,
Intern. J. Appl. Math., 9
(2002), 299-307.
137.
M.M. Chawla, Generalized Newmark schemes for singular second order
initial-value
problems,
Intern. J. Pure & Appl. Math.,
1 (2002), 263-276.
136.
M.M. Chawla, M.A. Al-Zanaidi and D.J. Evans, Generalized trapezoidal formulas
for
the symmetric heat equation in polar
coordinates,
Intern. J. Computer Math., 79
(2002), 729-745.
135.
R.R. Khazal and M.M. Chawla, A parallel elimination algorithm for pentadiagonal
linear systems,
Intern. J. Pure & Appl. Math.,
1 (2002), 95-112.
134.
M.M. Chawla and R.R. Khazal, A parallel elimination method for
"periodic"
tridiagonal systems,
Intern. J. Computer Math., 79
(2002), 473-484.
133.
M.M. Chawla and M.A. Al-Zanaidi, Linearized box schemes for first-order systems
of
hyperbolic conservation laws,
Neural, Parallel & Scientific
Computations, 9 (2001), 429-438.
132.
M.M. Chawla, M.A. Al-Zanaidi and D.J. Evans, Lod generalized trapezoidal
formula
schemes for parabolic differential
equations in two space dimensions,
Internat. J. Computer Math., 78
(2001), 269-287.
131.
M.M. Chawla and M.A. Al-Zanaidi, A linearly implicit time integration scheme
for the
Burgers’ equation,
Neural, Parallel and Scientific
Computations, 9 (2001), 97-102.
130.
M.M. Chawla and M.A. Al-Zanaidi, An extended trapezoidal formula for the
diffusion
equation in two space
dimensions,
Computers & Math. with
Applics., 42 (2001), 157-168.
129.
An alternating direction generalized trapezoidal formula scheme for parabolic
differential equations
in two space dimensions,
Internat. J. Computer Math., 77
(2001), 611-628.
(with M.A. Al-Zanaidi and D.J.
Evans).
128.
A class of one-step time integration schemes for second order hyperbolic
differential
equations,
Mathematical and Computer
Modelling, 33 (2001), 431-443. (with M.A.Al-Zanaidi).
127.
A linearly implicit one-step time integration scheme for nonlinear hyperbolic
equations,
Internat. J. Computer Math., 76
(2001), 349-361. (with M.A. Al-Zanaidi).
126.
Extended one-step time-integration schemes for convection-diffusion equations,
Computers & Maths. with
Applics., 39 (2000), 71-84. (with M.A. Al-Zanaidi
and M.G. Al-Aslab).
125.
Linearly implicit generalized trapezoidal formulas for nonlinear differential
equations,
Internat. J. Computer Math., 74
(2000), 345-359. (with M.A. Al-Zanaidi and
D.J. Evans).
124.
Non-dissipative time-integration schemes for the linear advection equation,
Internat. J. Computer Math., 73
(2000), 503-515. (with M.A. Al-Zanaidi and
D.J. Evans).
123.
Generalized trapezoidal formulas for convection-diffusion equations,
Internat. J. Computer Math., 72
(1999), 141-154). (with M.A. Al-Zanaidi and
D.J. Evans).
122.
An extended trapezoidal formula for the diffusion equation,
Computers & Maths. with
Applics., 38 (1999), 51-59. (with M.A. Al-Zanaidi).
121.
Singly-implicit stabilized extended one-step methods for second-order
initial-value
problems with oscillating solutions,
Mathematical and Computer
Modelling, 29 (1999), 63-72. (with M.A. Al-Zanaidi
and S.S. Al-Ghonaim).
120.
Generalized trapezoidal formulas for parabolic equations,
Internat. J. Computer Math., 70
(1999), 429-443. (with M.A. Al-Zanaidi and
D.J. Evans).
119. High-accuracy finite-difference schemes for the
diffusion equation,
Neural, Parallel and
Scientific Computations, 6 (1998), 523-53.
( with M.A. Al-Zanaidi
and A.Z. Al-Shammeri).
118.
A two-stage fourth order “almost” P-stable method for oscillatory problems,
J. Comput. Appl. Math., 89 (1998),
115-118 (with M.A. Al-Zanaidi).
117.
Non-dissipative extended one-step methods for oscillatory problems,
Internat. J. Computer Math., 69
(1998), 85-100 (with M.A. Al-Zanaidi).
116.
Double-stride methods for oscillatory problems, Neural, Parallel &
Scientific
Computations, 5 (1997),
535-547. (with M.A. Al-Zanaidi).
115.
New L-stable modified trapezoidal formulas for the numerical integration of
y'=f(x,y),
Internat. J. Computer Math., 63
(1997), 279-288. (with M.A. Al-Zanaidi).
114.
Extended two-step P-stable methods for periodic initial-value problems,
Neural,
Parallel & Scientific Computations,
4 (1996), 505-521.(with M.A. Al-Zanaidi &
W.M. Boabbas).
113.
A class of generalized trapezoidal formulas for the numerical integraion of
y'=f(x,y),
Internat. J. Computer Math., 62 (1996),
131-142. (with M.A. Al-Zanaidi & D.J. Evans).
112.
An efficient finite difference method for two-point boundary value problems, Neural,
Parallel & ScientificComputations,
4 (1996), 387-396. (with P.N. Shivakumar).
111.
Extended Double-stride L-stable methods for the numerical solution of ODEs,
Computers & Maths. with Applics.,
31 (1996), 1-6. (with A.A. Karaballi &
M.S.Al-Sahhar).
110.
Parallel elimination in partitioned tridiagonal systems,
Internat. J. Computer Math., 58
(1995), 249-252. (with R.R. Khazal).
109.
Parallel elimination algorithms for linear systems,
Proc. First Internat. Conf. on Neural,
Parallel & Scientific Computations,
Atlanta, U.S.A., May 1995.
108.
Parallel Householder method for linear systems,
Internat. J. Computer Math., 58
(1995), 159-167. (with D.J. Evans).
107.
Parallel symmetric elimination for positive definite linear systems,
Parallel Algorithms and Applications,
6 (1995), 67-78. (with D.J. Evans).
106.
A class of stabilized extended one-step methods for the numerical solution of
ODEs,
Computers & Math. with Applics.,
29 (1995), 79-84. (with M.A. Al-Zanaidi & M.S.
Al-Sahhar).
105.
A direct incomplete factorization method for parallel solution of tridiagonal
linear
systems,
Internat. J. Computer Math., 54
(1994), 249-259. (with R.R. Khazal & H.F. Al-Fahd).
104.
Stabilized fourth order extended methods for the numerical solution of ODEs,
nternat. J. Computer Math., 52
(1994), 99-107. (with M.A. Al-Zanaidi & M.S.
Al-Sahhar).
103.
A parallel elimination method for the solution of banded linear systems,
Internat. J. Computer Math., 50
(1994), 197-201. (with K. Passi).
102.
A symmetric finite difference method for computing eigenvalues of
Sturm-Liouville
problems,
Computers & Math. with Applics.,
26 (1993), 67-77.(with P.N. Shivakumar).
101.
A parallel elimination algorithm for the solution of dense linear systems,
Internat. J. Computer Math., 47
(1993), 97-107.
100.
A fast parallel algorithm for the solution of tridiagonal linear systems,
Internat. J. Computer Math., 45
(1992), 113-121. (with K.Passi & P.N. Shivakumar).
99. A
parallel Gaussian elimination method for general linear systems,
Internat. J. Computer Math., 42 (1992),
71-82
98.
On recursive decoupling method for solving tridiagonal linear systems,
Internat. J. Computer Math., 40 (1991),
239-244. (with K. Passi).
97. A
new quadrant interlocking factorization for parallel solution of tridiagonal
linear systems,
Internat. J. Computer Math., 39
(1991), 99-107. (with K. Passi).
96.
A recursive doubling algorithm for inverting tridiagonal matrices,
nternat.J. Computer Math., 37 (1990),
213-220. (with K.Passi & R.A. Zalik).
95.
A new folding Gaussian elimination algorithm for general linear systems,
Internat. J. Computer Math., 36
(1990), 221-238.
94.
A recursive partitioning algorithm for inverting tridiagonal matrices,
Internat. J. Computer Math., 35
(1990), 153-158. (with K.Passi & P.N. Shivakumar).
93.
Diagonal Pade ¢ approximations to the exponential function and P-stability,
Internat. J. Computer Math., 33
(1990), 103-106. (with R. Subramanian).
92.
On the numerical integration of a singulart wo-point boundary value problem,
Internat. J. Computer Math., 31
(1990), 177-194. (with M.K. Jain & R. Subramanian).
91.
The application of explicit Nystrom methods to singular second order
differential
equations,
Computers & Math. with Applics., 19
(1990), 47-51. (with M.K. Jain & R. Subramanian).
90.
A higher-order method for computing eigenvalues of two-point boundary-value
problems,
Commun. Appl. Numer. Methods, 5 (1989),
455-459. (with R. Subramanian).
89.
High accuracy quintic spline solution of fourth ordert wo-point boundary value
problems,
Internat. J. Computer Math., 31 (1989), 87-94.
(with R. Subramanian).
88.
Numerov's method for non-linear two-point boundary value problems II. Monotone
approximations,
Internat.J.ComputerMath., 26 (1989), 219-227. (with
R. Subramanian
& P.N.Shivakumar).
87.
A fourth order spline method for singular two-pointboundary value problems,
Internat. Ser. Numer. Math. (ISNM), 86
(1988), 87-93. (with R. Subramanian).
86.
A new spline method for singular two-point boundary value problems,
Internat. J. Computer Math., 24 (1988), 291-310.
(with R. Subramanian).
85.
A new fourth-order cubic spline method fors econd-order nonlinear two-point
boundary-value problems,
J. Comput. Appl. Math., 23 (1988), 1-10
(with R. Subramnian).
84.
A fourth-order spline method for singular two-point boundary-value problems,
J. Comput. Appl. Math., 21 (1988), 189-202
(with R. Subramanian & H.L. Sathi).
83.
A fourth order method for a singular two-pont boundary value problem,
BIT, 28 (1988), 88-97. (with R. Subramanian
& H.L. Sathi).
82.
On the existence of solutions of a class of singular nonlinear two-point
boundary value
problems, J. Comput. Appl. Math., 19 (1987), 379-388.
(with P. N. Shivakumar)
81.
A new fourth order cubic spline method for non-linear two-point boundary value
problems, Internat. J. Computer Math., 22
(1987), 321-341. (with R. Subramanian).
80.
An explicit sixth-order method with phase-lag of order eight for
y"=f(t,y),
J. Comput. Appl. Math., 17 (1987), 365-368.
(with P.S. Rao).
79.
A fourth-order finite difference method based on uniform mesh for singular
two- point
boundary value problems, J. Comput. Appl.
Math., 17 (1987), 359-364.
78.
Order h2 method for a singular two-point boundary value problem,
BIT, 26 (1986), 318-326.
(with S. McKee & G. Shaw).
77.
An estimate for the variance of a bounded measurable random variable,
Proc. Amer. Math. Soc., 99
(1986), 199-200. (wtih S.
Gopalsamy).
76.
Two-step fourth order P-stable methods with phase-lag of order six for
y"=f(t,y),
J. Comput. Appl. Math., 16
(1986), 233-236. (with P.S. Rao & Beny Neta).
75.
Phase-lag analysis of explicit Nystrom methods for y"=f(x,y),
BIT, 26 (1986), 64-70. (with
P.S. Rao).
74.
A Noumerov-type method with minimal phase-lag for the integration of second
order
periodic initial-value problems II.
Explicit method, J. Comput. Appl. Math., 15 (1986),
329-337. (with P.S. Rao).
73.
Families of two-step fourth order P-stable methods for second order
differential
equations, J. Comput. Appl. Math., 15
(1986), 213-223. (with Beny Neta).
72.
A finite difference method for a class of two-point boundary value problems
over a
semi-finite range, J. Comput. Appl.
Math., 15 (1986), 251-256. (with P.N. Shivakumar).
71.
Convergence of linear multistep methods with multiple roots,
J. Comput. Appl. Math., 14
(1986), 451-454. (with S. McKee).
70.
A new class of explicit two-step fourth order methods for y"=f(t,y) with
extended
intervals of periodicity, J. Comput.
Appl. Math., 14 (1986), 467-470.
69.
Superstable two-step methods for the numerical integration of general second
order
initial value problems, J. Comput.
Appl. Math., 12 (1985), 217-220.
68.
A uniform mesh finite difference method for a classof singular two-point
boundary
value problems,
SIAM J. Numer. Anal., 22
(1985), 561-565. (with C.P. Katti).
67.
Noumerov's method for non-linear two-point boundary value problems,
Internat. J. Computer Math., 17
(1985), 167-176. (with P.N. Shivakumar).
66.
High-accuracy P-stable methods for y"=f(t,y),
IMA J. Numer. Anal., 5
(1985), 215-220; Corrigendum: 6 (1986), 252. (with P.S. Rao).
65.
On the order and attainable intervals of periodicity of explicit Nystrom
methods for
y"=f(t,y),
SIAM J. Numer. Anal., 22
(1985), 127-131.
64.
Familiesof three-stage third orderRunge-Kutta-Nystrom methods for
y"=f(x,y,y'),
J. Austr. Math. Soc., 26
(1985), 375-386. (with S.R. Sharma).
63.
A Noumerov-type method with minimal phase-lag for the integration of second
order
periodic initial-value problems,
J. Comput. Appl. Math., 11 (1984),
277-281. (with P.S. Rao).
62.
Regions of absolute stability of explicit Runge-Kutta-Nystrom methods for
y"=f(x,y,y'),
J. Comput. Appl. Math., 11 (1984),
259-266. (with R. Subramanian).
61.
A finite difference method for a class of singular two-point boundary value
problems,
IMA J. Numer. Anal., 4
(1984), 457-466. (with C.P. Katti).
60.
Numerov made explicit has better stability,
BIT, 24 (1984), 117-118.
59.
Absolute stability of explicit Runge-Kutta-Nystrom methods for
y"=f(x,y,y'),
J. Comput. Appl. Math., 10 (1984),
163-168. (with S.R. Sharma).
58.
Unconditionally stable Noumerov-type methods for second order differential
equations,
BIT, 23 (1983), 541-542.
57.
A new fourth order method for computing eigenvalues of two-point boundary
value problems: an addendum,
BIT, 23 (1983), 397-398. (with
C.P. Katti).
56.
A new fourth-order finite difference methodfor computing eigenvalues of
fourth-order
two-point boundary-value problems,
IMA J. Numer. Anal., 3 (1983),
291-293.
55.
Finite difference methods and their convergence for a class of singular
two-point
boundary value problems,
Numer. Math., 39 (1982), 341-350.
(with C.P. Katti).
54.
A new symmetric five-diagonal finite difference method for computing
eigenvalues
of fourth-order two-point boundary value
problems,
J. Comput. Appl. Math., 8 (1982),
135-136. (with C.P. Katti).
53.
Two-step fourth order P-stable methods for second order differential equations,
BIT, 21 (1981), 190-193.
52.
Familiesof fifth order Nystrom methods for y"=f(x,y) and intervals of
periodicity,
Computing, 26 (1981), 247-256.
(with S. R. Sharma).
51.
Intervals of periodicity and absolute stability of explicit Nystrom methods for
y"=f(x,y),
BIT, 21 (1981), 455-464. (with
S.R. Sharma).
50.
A new fourth order method for computing eigenvalues of two-point boundary value
problems,
BIT, 20 (1980), 511-514. (with
C.P. Katti).
49.
Finite difference methods for a class of two-point boundary value problems with
mixed boundary conditions,
J. Comput. Appl. Math., 6 (1980),
189-196. (with C.P.Katti).
48.
On Noumerov's method for computing eigenvalues,
BIT, 20 (1980), 107-109. (with
C.P. Katti).
47.
Families of direct fourth-order methods for the numerical solution of general
second-
order initial-value problems,
ZAMM, 60 (1980), 469-478. (with
S.R. Sharma).
46.
A sixth-order tridiagonal finite difference method for general non-linear
two-point
boundary value problems,
J. Inst. Maths Applics, 24 (1979),
35-42.
45.
Convergence of quadratures for Cauchy principal value integrals,
Computing, 23 (1979), 67-72. (with
S. Kumar).
44.
Tridiagonal finite difference approximations for nonlinear two-point boundary
value
problems,
Proc. XIV Annual Convention Computer Soc.
India, Bangalore, Jan 1979.
43.
Finite difference methods for two-point boundary value problems involving high
order differential equations,
BIT, 19 (1979), 27-33. (with C.P.
Katti).
42.
High-accuracy tridiagonal finitedifference approximations for non-linear
two-point
boundary value problems,
J. Inst. Maths Applics, 22 (1978),
203-209.
41.
Chebyshev series method for the approximate solution of Volterra integral
equations
with singular kernels,
J. Math. & Phys. Sci., 12
(1978), 473-481. (with S. Kumar).
40.
A fourth-order tridiagonal finite difference method for general two-point
boundary
value problems with non-linear boundary
conditions,
J. Inst. Maths Applics, 22 (1978),
89-98.
39.
A fourth-order tridiagonal finite difference method for general non-linear
two-point
boundary value problems with mixed boundary
conditions,
J. Inst. Maths Applics, 21 (1978),
83-93.
38.
Chebyshev series approximate solutions of Fredholm integral equations with
Cauchy
type singular kernels,
J. Math. & Phys. Sci., 12
(1978), 149-158. (with S. Kumar).
37.
Convergence of Fejer type quadrature formulas for Cauchy principal value
integrals,
J. Math & Phys. Sci., 12
(1978), 49-59. (with S. Kumar).
36.
Simultaneously interpolatory and optimal approximate formulas in Hilbert spaces
possessing reproducing kernel functons,
Proc. First Nat. Convention on Appl. Numer.
Anal.,N.A.L., Bangalore, June 1977,
pp. 265-289.
35.
An eighth order tridiagonal finite difference method for nonlinear two-point
boundary
value problems,
BIT, 17 (1977), 281-285.
34.
A sixth order tridiagonal finite difference method for non-linear two-point
boundary
value problems,
BIT, 17 (1977), 128-133.
33. Estimating errors of numerical approximation for periodic analytic functions, Computing, 18 (1977), 241-248. (with R. Kress).
32. Gaussian quadrature formulas for the numerical calculation of integrals with logarithmic singularity, J. Comput. Phys., 21 (1976), 356-360. (with R. Piessens & N. Jayarajan).
31. Optimal rules with polynomial precision for Hilbert spaces possessing reproducing kernel functions II. Error bounds, Numer. Math., 25 (1976), 379-382. (with V. Kaul).
30. Minimum variance approximate formulas, SIAM J. Numer. Anal., 13 (1976), 113-128. (with T.R. Ramakrishnan).
29. Optimal approxmate formulas with polynomial precision, BIT, 15 (1975), 367-372.
28. Quadrature formulas for Cauchy principal value integrals, Computing, 15 (1975), 347-355. (with N. Jayarajan).
27. Bivariate cardinal interpolation and cubature formulas, SIAM J. Numer. Anal., 12 (1975), 605-616. (with N. Jayarajan).
26. A generalization of Hermite's interpolation formula in two variables, J. Austr. Math. Soc., 18 (1974), 402-410. (with N. Jayarajan).
25. Numerical evaluation of integrals of periodic functions with Cauchy and Poisson type kernels, Numer. Math., 22 (1974), 317-323. (with T.R. Ramakrishnan).
24. Optimal rules with polynomial precision for Hilbert spaces possessing reproducing kernel functions Numer. Math., 22 (1974), 207-218. (with V. Kaul).
23. Properties of optimal quadratures for analytic functions,J. Math. & Phys. Sci., 8 (1974), 397-412. (with B.L. Raina).
22.
Modified Gauss-Jacobi quadrature formulas for the numerical evaluation of
Cauchy type
singular integrals,
BIT, 14 (1974), 14-21. (with T.R.
Ramakrishnan).
21.
Hermite and Gauss type optimal quadratures for analytic functions,
Calcolo, 10 (1973), 275-283. (with
N. Jayarajan).
20.
On the inversion of a certain Gram matrix,
Calcolo, 10 (1973), 257-260.
19.
Optimal rules for numerical integration around the unit circle,
BIT, 13 (1973), 145-152. (with
V. Kaul).
18.
Optimal quaratures for analytic functions,
BIT, 12 (1972), 489-502. (with
B.L. Raina).
17.
Asymptotic Gauss quadrature errors as Fourier coefficients of the integrand,
J. Austr. Math. Soc., 12
(1971), 315-322.
16.
Convergence of Newton-Cotes quadratures for analytic functions,
BIT, 11 (1971), 159-167.
15.
Estimating errors of numerical approximation for analytic functions,
Numer. Math., 16 (1971),
370-374.
14.
Approximation by non-negative algebraic polynomials,
BIT, 10 (1970), 243-248.
13.
Hilbert spaces for estimating errors of quadratures for analytic functions,
BIT, 10 (1970), 145-155.
12.
Estimation of errors of Gauss-Chebyshev quadratures,
Comput. J., 13 (1970),
107-109.
11.
On Davis' method for the estimation of errors of Gauss-Chebyshev quadratures,
SIAM J. Numer. Anal., 6
(1969), 108-117.
10.
The solution of ordinary differential equations in Legendre series using
collocation,
J. Math. & Phy. Sci., 2
(1968), 273-283. (with M.K. Jain).
9.
Asymptotic estimates for the error of the Gauss-Legendre quadrature formula,
Comput. J., 11 (1968), 339-340.
8. On
the estimation of errors of Gaussian cubature formulas,
SIAM J. Numer. Anal., 5 (1968), 172-181.
7. Error
bounds for the Gauss-Chebyshev quadrature formula of the closed type,
Math. Comp., 22 (1968), 889-891.
6.
Error estimates for the Clenshaw-Curtis quadrature,
Math. Comp., 22 (1968), 651-656.
5. Asymptotic
error estimates for the Gauss quadrature formula,
Math. Comp., 22 (1968), 91-97. (with M.K.
Jain).
4. Error
estimates for Gauss quadrature formulas for analytic functions,
Math. Comp., 22 (1968), 82-90. (with M.K.
Jain).
3. The
estimation of the coefficients in the Legendre series expansion of a function,
J. Math. & Phys. Sci., 1
(1967), 247-260. (with M.K. Jain).
2.
A note on the estimation of the coefficients in the Chebyshev series expansion
of a
function having a logarithmic singularity,
Computer J., 9 (1967), 413.
1.
On the Chebyshev polynomials of the second kind,
SIAM Rev., 9 (1967), 729-733.