Page
1
of
9
Prof. M.K. Kadalbajoo
Complete list of Publication
1.
A numerical method for solving mildly non

linear elliptic problems over irregular
regions.Indian J. Pure and Applied Maths., Vol.7, no.2, pp.212

223, 1976 (with
P.C. Jain).
2.
Dynamic programming solutions of mildly non

linear el
liptic problems over
irregular regions.International J. Computer Math., Section B, Vol.5, pp.231

239,
1976 (with P.C. Jain).
3.
Invariant imbedding approach for the solution of minimal surface equation ,J.Math.
Anal. and Applications, Vol.61, no.3, pp.543

55
7, 1977 (with P.C.Jain).
4.
Invariant imbedding method for the solution of coupled Burger’s equation. J. Math.
Anal. and Applications, Vol.72, no.1, pp.1

16 (with P.C. Jain).
5.
Iterative techniques for non

linear boundary control problems.In ‘Optimizing
Method
s in Statistics’ edited by J.S. Rustogi, Proceedings of an International
Conference, Academic Press, pp.289

300, 1979 (with P.C. Jain and Labib
Iskandar).
6.
A numerical technique for solving nonlinear elliptic problems.Indian J. Pure and
Applied Maths., Vol
.11, no.1, pp.20

32, 1980 (with P.C. Jain).
7.
Numerical solution of a quasilinear parabolic problem. Proc. Indian Acad. Sci.,
(Mathematical Sciences), Vol.89, no.1, pp.67

33, 1980 (with P.C. Jain).
8.
Symmetric marching technique for the discretized Poisson equ
ation.Applied
Mathematics and Computation, Vol.12, no.3, pp.197

198, 1983 (with K.K.
Bharadwaj and R. Sankar).
9.
Symmetric marching technique for the efficient solution of discretized Poisson
equation on non

rectangular regions. In ‘Numerical Methods in Lami
nar and
Turbulent Flow’ edited by C. Taylor and B. Schrefler, Proceedings of an
International Conference, Pineridge Press, pp.1215

1228, 1981 (with K.K.
Bharadwaj).
10.
Symmetric marching technique for the Poisson equation. I: Dirichlet boundary
conditions.App
lied Mathematics and Computation, Vol.15, no.2, pp.137

150, 1984
(with K.K. Bharadwaj and R. Sankar).
11.
Symmetric marching technique for the Poisson equation. II: Mixed boundary
condition.Applied Mathematics and Computation, Vol.15, no.2, pp.151

164, 1984
(w
ith K.K. Bharadwaj and R. Sankar).
12.
Symmetric marching technique for the numerical solution of nonseparable elliptic
equations.Applied Mathematics and Computation, Vol.14, no.2, pp.197

206, 1984
(with K.K. Bharadwaj).
13.
Symmetric marching technique and ellipt
ic equation with variable coefficients
involving mixed partial derivatives. Applied Mathematics and Computation,
Vol.15, no.4, pp.315

324, 1984 (with K.K. Bharadwaj).
14.
Fast elliptic solvers

An overview.Applied Mathematics and Computation, Vol.14,
no.4, pp
.331

356.
15.
Numerical solution of singular boundary value problems by invariant imbedding. J.
Computational Physics, Vol.55, no.2, pp.268

277, 1984 (with K.S. Raman).
Page
2
of
9
Prof. M.K. Kadalbajoo
16.
Discreted invariant imbedding for the numerical solution of boundary value
problem over inf
inite intervals.Applied Mathematics and Computation, Vol.15,
no.4, pp.305

314, 1984 (with K.S. Raman).
17.
On fast direct methods for solving elliptic equations over non rectangular regions.
Applied Mathematics and Computation, Vol.16, no.1, pp.1

18, 1985 (wit
h K.K.
Bharadwaj).
18.
Numerical solution of singular boundary value problems via Chebyshev
polynomials and invariant imbedding. Technical Report, Dept. of Maths., I.I.T.,
Kanpur, 1984 (with K.S. Raman).
19.
Cubic spline and invariant imbedding for solving singula
r two

point boundary value
problems. J. Math. Anal. and Applications, Vol.112, no.1, pp.22

35, 1985 (with
K.S. Raman).
20.
Cubic spline solutions of boundary value problems over infinite intervals. J.
Computational and Appl. Mathematics, Vol.15, pp.283

291, 1
986 (with K.S.
Raman)
21.
Numerical solution of Cauchy singular integral equations via initial value methods.
Applied Mathematics and Computation, Vol.18, no.3, pp.211

222, 1986.
22.
Invariant imbedding method for the solution of elliptic equations with boundary
s
ingularities. Presented at the Vth IMACS International Conference on Computer
Methods for Partial Differential Equations, Lehigh University, Bethelhem, U.S.A.,
June 19

22, 1984.
23.
A numerical scheme for solving singular perturbation problems by invariant
imb
edding.Technical Report, Dept. of Maths., IIT, Kanpur, 1986 (with Y.N.
Reddy).
24.
The method of inner boundary conditions: a new approach for solving singular
perturbation problems.J. Computational Physics, Vol.62, pp.349

360, 1986 (with
Y.N. Reddy).
25.
Discrete
invariant imbedding for singular boundary value problems with regular
singularity.Applied Math. & Computation, Vol.22, no.4, pp.291

308, 1987 (with
K.S. Raman).
26.
Numerical solution of singular perturbation problem using cubic splines.Technical
Report, Dept
. of Mathematics, IIT Kanpur (with Y.N. Reddy).
27.
Modified fourth order finite difference methods for singular boundary value
problems I: linear case.Technical Report, Dept. of Mathematics, IIT Kanpur, 1985
(with K.S. Raman).
28.
Modified fourth order finite dif
ference methods for singular boundary value
problems II: nonlinear case. Technical Report, Dept. of Mathematics, IIT Kanpur,
1985 (with K.S. Raman).
29.
A computational method for solving singular perturbation problems using fourth
order finite difference.Comm
. In Appl. Numer. Methods, Vol.2, 1986, pp.609

615,
1986 (with Y.N. Reddy).
30.
Numerical solution of singular perturbation problems by terminal boundary value
technique.J. Optimiz. Theory and Applications, Vol.52, no.2, pp.243

254, 1987
(with Y.N. Reddy).
Page
3
of
9
Prof. M.K. Kadalbajoo
31.
Num
erical treatment of singularly perturbed two

point boundary value problems.
Applied Mathematics and Computation, Vol.21, no.2, pp.93

110, 1987 (with Y.N.
Reddy).
32.
Approximate method for the numerical solution of singular perturbation problems.
Applied Mathe
matics and Computation, Vol.21, no.3, pp.185

200, 1987 (with Y.N.
Reddy).
33.
Numerical integration of a class of singular perturbation problems. J. Optimiz.
Theory and Applications, Vol.51, no.3, pp.441

452, 1986 (with Y.N. Reddy).
34.
An asymptotic and numerical
analysis of singular perturbation problems

A
survey.Technical Report, Dept. of Mathematics, IIT Kanpur, 1987.
35.
Numerical analysis

some problems and recent trends.Proceedings of an
International Workshop on ‘Engineering Software

Applications and Resea
rch’
held during Jan. 21

25, 1985 at IIT Kanpur.
36.
Numerical solution of singular perturbation problems via deviating
arguments.Applied Mathematics and Computation, Vol.21, no.3, pp.221

232, 1987
(with Y.N. Reddy).
37.
An approximate method for solving a class o
f singular perturbation
problems.J.Math. Anal. & Applic., Vol.133, no.2, pp.306

323, 1988 (with Y.N.
Reddy).
38.
An initial value technique for a class of nonlinear singular perturbation problems. J.
Optimiz. Theory and Applic., Vol.53, no.3, pp.395

406, 1987
(with Y.N. Reddy).
39.
A non

asymptotic method for singular perturbation problems. J. Optimiz. Theory
and Applic., Vol.55, no.1, pp.73

84, 1987 (with Y.N. Reddy).
40.
A non

asymptotic method for general linear singular perturbation problems.J.
Optimiz. Theory and
Applic., Vol.55, no.2, pp.257

270, 1987 (with Y.N. Reddy).
41.
A boundary value method for a class of nonlinear singular perturbation
problems.Comm. Appl. Numerical Methods, Vol.4, pp.587

594, 1988 (with
Y.N.Reddy).
42.
A boundary value technique to solve linear s
tate regulator problems Communicated
for publication (with A. Singh)
43.
A
cutting point technique for solving nonlinear state regulator problems.IMA J. of
Math. Control & Information, Vol.4, pp.183

194, 1987 (with A. Singh)
44.
A boundary value technique for s
olving singularly perturbed fixed end

point
optimal control problems.Optimal Control Applications and Methods, Vol.9`,
pp.443

448, 1988 (with A. Singh)
45.
Numerical Treatment of Stiff Linear Block

diagonal Systems of
ODEs.Communicated for publication (with A.
Singh).
46.
On a linearization of nonlinear autonomous two

point boundary value problems.
Communicated for publication (with A. Singh).
47.
A numerical method for solving singularly perturbed systems of non linear two

point boundary value problems.Technical Repor
t, Department of Mathematics, IIT,
Kanpur (with A. Singh).
48.
Estimate of boundary layer thickness for linear singularly perturbed two

point
boundary value problems.J. Optimiz. Theory & Applic., Vol.63, no.1, pp.143

151,
1989 (with A. Singh).
Page
4
of
9
Prof. M.K. Kadalbajoo
49.
Partial decoupli
ng of slow and fast variables.J. Math. Anal. & Applic. Vol.155,
no.1, pp.46

54, 1991.
50.
Numerical solution of singularly perturbed two

point boundary value problems

Some new approaches.Technical Report, Department of Mathematics, IIT, Kanpur,
1989.
51.
A modif
ied version of Newton’s iteration. International J. Comput. Math., Vol.33,
pp.107

113, 1990.
52.
A fourth order cubic spline method for initial value problems.Communicated for
publication (with R.K. Bawa).
53.
Cubic spline method for a class of non

linear singular
ly perturbed boundary value
problems.Communicated for publication (with R.K. Bawa).
54.
Numerical solution of singularly perturbed initial value problems using a fourth
order cubic spline.Communicated for publication (with R.K. Bawa).
55.
Third order variable mesh
cubic spline method for singularly perturbed boundary
value problems.Applied Mathematics & Computation, Vol.59, no.2

3, pp.117

129,
1993 (with R.K. Bawa).
56.
Third order variable mesh cubic spline method for nonlinear two

point singularly
perturbed boundary
value problems. Journal of Optimization Theory & Application,
Vol.77, no.2, pp.439

449, 1993 (with R.K. Bawa).
57.
Variable mesh difference scheme for singularly perturbed boundary value problems
using splines.Journal of Optimization Theory & Application, Vol.
90, no.2, 1996
(with R.K. Bawa).
58.
Cubic spline method for a class of nonlinear singularly perturbed boundary value
problems.Journal of Optimization Theory & Application, Vol.76, no.3, 415

428,
1993 (with R.K. Bawa).
59.
Existence of the new quadrant interlockin
g factorization for parallel solution of
tridiagonal linear systems International Journal of Computer Mathematics, Vol.48,
pp.95

103, 1993 (with S.C. Rao).
60.
On the existence of the new quadrant interlocking factorization for parallel solution
of tridiagonal
linear systems. International Journal of Computer Mathematics,
Vol.51, pp.181

192, 1994 (with S. Chandrasekara Rao).
61.
The alternating group explicit (AGE) method for singularly perturbed boundary
value problems.Applied Mathematics & Computation, Vol.79, pp
.1

18, 1994 (with
A. Appaji Rao).
62.
On modified alternating group explict (MAGE) method for singular perturbation
problems.International Journal of Computer Mathematics, Vol.51, pp.239

249,
1994 (with A. Appaji Rao).
63.
Parallel method for singularly perturbed
boundary value
problems.ParallelAlgorithms and Applications, Vol.8, pp.121

131, 1995 (with A.
Appaji Rao).
64.
Parallel new group explicit method for solving tridiagonal systems. Submitted for
publication (with A. Appaji Rao).
65.
Parallel group explicit method fo
r two dimensional parabolic equation.Parallel
Computing, Vol.23, pp.649

666, 1997 (with A. Appaji Rao).
66.
Parallel WDZ algorithm for parabolic equations with a small parameter.Submitted
for publication (with A. Appaji Rao).
Page
5
of
9
Prof. M.K. Kadalbajoo
67.
Parallel AGE algorithm for parabol
ic equations with a small parameter. Parallel
Algorithms and Applications, Vol.8, pp.155

168, 1996 (with A. Appaji Rao).
68.
Parallel discrete invariant imbedding algorithm for singular perturbation problems.
International Journal of Computer Mathematics, Vol.
66, pp.149

161, 1998 (with A.
Appaji Rao).
69.
Boundary element method for elliptic differential equation with a small parameter.
Applied Mathematics & Computation, Vol.80, pp.1

13, 1995 (with K.Arumugam).
70.
On fundamental solution in boundary element method for
singular perturbation
problems.Boundary Element Communications, Vol.8, pp.14

17, 1997 (with K.
Arumuguam).
71.
Boundary element method for singularly perturbed ellptic boundary value
problems.J. Computational Physics, to appear (with K. Arumugam).
72.
Parallel gr
oup explicit algorithms for nonlinear singular perturbation problems with
variable mesh. Submitted for publication (with A. Appaji Rao).
73.
On nonlinear singular perturbation problems of elliptic type using boundary
element method.Submitted for publication (w
ith K. Arumugam).
74.
Performance analysis of AGE algorithm for singular perturbation problems.Parallel
Algorithm & Applications, Vol.10, pp.315

318, 1997 (with A. Appaji Rao).
75.
A parallel algorithm for banded linear systems.Parallel Algorithm & Applications,
V
ol.14, pp.235

252, 2000 (with S.C.Rao).
76.
Variable mesh spline approximation method for solving singularly perturbed
turning point problems having boundary layer(s).Computers and Mathematics with
Applications, Vol.42, no.10

11, pp.1439

1453, 2001 (with K.C.
Patidar).
77.
Numerical solution of singularly perturbed non linear two point boundary value
problems by spline in compression.International Journal of Computer Mathematics,
Vol.79, no.2, pp.271

288, 2002 (with K.C. Patidar).
78.
Spline techniques for the numerica
l solution of singular perturbation problems. J.
Optimization Theory & Applications, Vol.112, no.3, pp.574

594, 2002 (with K.C.
Patidar).
79.
Spline techniques for solving singularly perturbed non

linear problems on non

uniform grids, J. Optimization Theory &
Applications, Vol.114, no.3, 573

591,
2002 (with K.C. Patidar).
80.
Spline approximation method for solving self

adjoint singular perutrbation
problems on non

uniform grids, Journal of Computational Analysis and
Applications, vol. 5, no. 4, 425

451, 2003 (with
K.C. Patidar).
81.
Variable mesh spline in compression for the numerical solution of singular
perturbation problems, International J. Computer Mathematics,vol. 80, no.1, 83

93,
2003 (with K.C. Patidar).
82.
Exponentially fitted spline in compression for the numer
ical solution of singular
perturbation problems. Computers and Mathematics with applications, vol. 46, no.
5

6, 751

767, 2003 (with K.C. Patidar).
83.
Exponentially fitted spline approximation method for solving self

adjoint singular
perturbation problems. Int
ernational J. of Mathematics and Mathematical Sciences,
vol. 61, 3873

3891 (with K.C. Patidar).
Page
6
of
9
Prof. M.K. Kadalbajoo
84.
Variable mesh spline approximation method for solving singularly perturbed
turning point problems having interior layer. To appear in Journal of computational
m
ethods in science and engineering (with K.C. Patidar).
85.
Singularly perturbed problems in partial differential equations

a survey. Applied
Mathematics and Computation, vol.134, no. 2

3, 371

429, 2003 (with K.C. Patidar).
86.
Numerical solution of singularly pe
rturbed two point boundary value problems by
spline in Compression. International journal of Computer Mathematics,vol.77 ,no.2
, 263

284, 2001 (with K.C. Patidar).
87.
Numerical solution of singularly perturbed two point boundary value problems by
spline in te
nsion. Applied Mathematics
Computation, vol.131, no.2

3, 299

320,
2002(with K.C. Patidar).
88.
Tension spline for the solution of self

adjoint singular perturbation
problems.International J. Computer Mathematics, vol.79, no.7, 849

865, 2002 (with
K.C. Patidar
).
89.
Tension spline for the numerical solution of singularly perturbed non

linear
boundary value problems.Computational and Applied Mathematics, vol. 112. no. 3,
717

742, 2002 (with K.C. Patidar).
90.
A survey of numerical techniques for solving singularly pertu
rbed ordinary
differential equations. Applied Mathematics and Computation, vol.130, no.2

3,
457

510, 2002(with K.C. Patidar).
91.
Variable mesh spline approximation method for solving singularly perturbed
turning point problems having layer, to appear in J. of
Comp. methods in science
and engineering (With K.C. Patidar)
92.
Singularly perturbed problems in partial differential equations: a survey,
Applied
Mathematics
and Computation
, Vol. 134, no. 2

3, 371

429, 2003.(with K.C.
Patidar)
93.
Exponentially fitted spline
in compression for thenumerical solution of singular
perturbation problems,
Computers and Mathematics with Applications
, Vol. 46, no.
5

6, 751

767, 2003.(with K.C. Patidar)
94.
Variable mesh spline in compression for the numerical solution of singular
perturb
ation problems,
International Journal of Computer Mathematics
, Vol. 80,
no.1, 83

93, 2003.(with K.C. Patidar)
95.
Numerical analysis of boundary value problems for singularly perturbed differential
difference equations with small shifts of mixed type.J. Optimi
zation Theory &
Applications, vol. 115, 145

163, oct., 2002 (with K.K. Sharma)
96.
An epsilon

uniform fitted operator method for solving boundary value problems
for singularly perturbed delay differential equations: Layer behavior, International
J. of Compute
r Mathematics, vol. 80, no. 10, 1261

1276, 2003 (with K.K. Sharma).
97.
Numerical analysis of boundary value problems for singularly Perturbed
differential

Difference Equations: small shifts of mixed type with rapid oscillations,
communication in numerical met
hods in engineering, vol.20, pp. 167

182, 2004
(with K.K.Sharma)
98.
Epsilon

uniform fitted mesh method for singularly perturbed differential

difference
equations: Mxed type of shifts with layer behavior , International J. O Computer
mathematics, Vol. 81, No.
1, PP. 49

62, Oct., 2004 (with K.K.Sharma)
Page
7
of
9
Prof. M.K. Kadalbajoo
99.
Parameter

Uniform Fitted Mesh Method for Singularly Perturbed Delay
Differential Equations with Layer Behavior,
Accepted in Electronics Transactions
on Numerical Analysis (ETNA), 23 (2006) pp.
180

201 (with M.K K
adalbajoo)
100.
An Exponentially Fitted Finite Difference Scheme for Solving Boundary

Value
Problems for Singularly

Perturbed Differential

Difference Equations: Small Shifts
of Mixed Type with Layer Behavior
, J. Comput. Anal.
Appl. 8 (2006), no. 2 151

171(with
M.K Kadalbajoo).
101.
Numerical Treatment for Singularly Perturbed Differential Difference Equations
with negative shift
, Nonlinear Analysis, Volume 63, Issues 5

7, 2005, Pages e1909

e1924 (with M.K Kadalbajoo).
102.
Numerical Treatment of a Mathematical Model ari
sing from a model of neuronal
variability,
Journal of Mathematical Analysis and Applications, Vol. 307, Issue 2,
Pages 606

627, 2005 (with M.K Kadalbajoo).
103.
A Parameter

Uniform Implicit Finite Difference Scheme for Solving Time

Dependent Burgers’ Equations,
Applied Mathematics and Computation, Volume
170, Issue 2, 15 November 2005, Pages 1365

1393 (with A. Awasthi and M.K.
Kadalbajoo)
104.
Numerical Treatment of Boundary

Value Problems for Second Order Singularly
Perturbed Delay Differential Equations
, Computatio
nal and Applied Mathematics,
Vol.24, no.2, Pages 151

172, 2005 (with M.K Kadalbajoo).
105.
Numerical Analysis of Singularly Perturbed Delay Differential Equations with
layer behavior,
Applied Mathematics and Computation, Vol. 157, issue 1, Pages 11

28, Sept. 20
04 (with M.K Kadalbajoo).
106.
A Parameter Uniform Numerical Method for a Singularly Perturbed Nonlinear
Delay Differential Equation of Neutral Type
, International J. of Computer
Mathematics, Vol. 81, Pages
845

862, July 2004 (with M.K Kadalbajoo).
107.
An ε

Unifor
m Convergent Method for a General Boundary

Value Problem for
Singularly Perturbed Differential

Difference Equations: Small Shifts of Mixed type
with Layer Behavior,
Journal of Computational Methods in Science and
Engineering, Accepted (with M.K Kadalbajoo)
.
108.
A Numerical Method Based on Finite Difference for Boundary Value Problems
for Singularly Perturbed Delay Differential Equations,
Accepted in Int. J. of
Computer Mathematics (with M.K Kadalbajoo).
109.
Numerical Analysis of Non

Linear Boundary Value Problems f
or Singularly
Perturbed Delay Differential Equations with Layer Behavior,
Technical Report, IIT
Kanpur 2003 (with M.K Kadalbajoo).
110.
Numerical Analysis of a Mathematical Model arising in Mathematical Modeling
of
Propagating Nerve Impulse in Nerve Fibers (C
ommunicated).
111.
Cubic Spline for solving Singular Two

Point Boundary
Value Problems,
Applied Mathematics and Computation}, Vol. 156, 249

259, 2004.(With Vivek
Kumar)
112.
Numerical Solution of Singular Boundary Value Problems Via Chebyshev
Polynomial and B

S
pline,Applied Mathematics and Computation, Vol. 160, 3, 851

863, 2005.(With Vivek Kumar)
113.
B

Spline Method for solving Singular Two

point Boundary Value Problems over
infinite intervals" Communicating (With Vivek Kumar)
Page
8
of
9
Prof. M.K. Kadalbajoo
114.
Fitted Mesh B

spline Collocation meth
od for solving Self

Adjoint Singularly
Perturbed boundary value problems, {Applied Mathematics and Computation},
Vol. 161, 3, 973

987, 2005.(With Vivek Kumar)
115.
Fitted Mesh B

spline method for solving a class of singular singularly perturbed
boundary value
problems, International Journal of Computer Mathematics, Vol. 82,
1, 67

76, 2005.(With Vivek Kumar)
116.
On a B

spline method for a class of singular two

point
boundary value problems
using
optimal grid, Accepted, Applied Mathematics and Computation.(With Viv
ek
Kumar)
117.
B

Spline Method for solving general Singularly Perturbed Bondary Value
Problems using Fitted mesh, Computing letters, Vol. 2, 4, 193

203, 2006.(With
Vivek Kumar)
118.
Fitted Mesh B

Spline Collocation method
for solving Singularly Perturbed
Reaction

Diffusion Problems, J. of Concrete and Applicable Mathematics, NOVA
Pub., Vol. 4, 3, 349

365, 2006.(With Vivek Kumar)
119.
"
ε

uniformly convergent fitted methods for the numerical solution of the problems
arising from singularly perturbed general DDEs,
Applied
Mathematics and
Computation
, Vol. 182, 119

139, 2006.(with K.C. Patidar)
120.
ε

uniformly convergent fitted mesh finite difference methods for general singular
perturbation problems,
Applied Mathematics and Computation
, Vol. 179, 248

266,
2006.(with K.C. Patid
ar)
121.
ε

Uniformly convergent fitted methodsfor the numerical solution of problems
arising from singularly perturbed general DDEs, Report Nr. UWC

MRR 2006/01,
Univesity of the Western Cape, March 2006.(with K.C.Patidar and K.K. Sharma)
122.
Variable mesh spline ap
proximation method for solving singularly perturbed
turning point problems having interior layer, to appear in
Journal of Computational
Methods in Science and Engineering
.(with K.C. Patidar)
123.
A Parameter

Uniform Implicit Di®erence Scheme for solving Time

D
ependent
Burgers' Equations,
Published in
\
Applied Mathematics and Computations" Vol.
120, pp. 1365

1393, 2005 (with Ashish Awasthi).
124.
A Parameter Uniform Di®erence Scheme for Singularly Perturbed Parabolic
Problem in One Space Dimension,
Published in App
lied Mathematics and
Computations", Vol. 183, pp. 42

60, 2006 (with Ashish Awasthi).
125.
Numerical Method Based On Crank

Nicolson Scheme For Burgers' Equation,
Published in
\
Applied Mathematics and Computations", Vol. 182, pp. 1430

1442,
2006.(with Ashish Aw
asthi).
126.
The Midpoint Upwind Finite Di®erence Scheme for Time Dependent Singularly
Perturbed Convection

Difusion Equations on Non

Uniform Mesh
, (Communicated
with Ashish Awasthi).
127.
Crank

Nicolson Finite Di®erence Method Based On Midpoint Upwind Scheme
On
Non

Uniform Mesh For Time Dependent SingularlyPerturbed Convection
Di®usion Equations
,
to appear International Journal of Computer Mathematics
(with Ashish Awasthi).
128.
Uniformly Convergent Numerical Method for Solving Modied Burgers' Equations
on a Non

U
niform Mesh
, (Communicated with Ashish Awasthi).
Page
9
of
9
Prof. M.K. Kadalbajoo
129.
Parameter Free Hybrid Numerical Method for Solving Modied Burgers' Equations
on a Non

Uniform Mesh
, (Communicated with Ashish Awasthi).
130.
A High Resolution Total Variation Diminishing Scheme for Hyperbolic
Conservation Law and Related Problems, Applied Mathematics and Computation,
Volume 175, Issue 2, 15 April 2006, Pages 1556

1573.(with Ritesh Kumar)
131.
Efficient Second Order Relaxation Schemes for Hyperbolic Systems of
Conservation Laws, article in press "In
ternational Journal for Numerical Methods in
Fluids. ( with Ritesh Kumar)
132.
Numerical methods on Shishkin mesh for singularly perturbed delay differential
equations with a grid adaptation strategy Applied Mathematics and Computation,
doi:10.1016/j.amc.2006.1
1.046 (with V.P. Ramesh)
133.
Hybrid method for numerical solution of singularly perturbed delay differential
equations, Applied Mathematics and Computation,
doi:10.1016/j.amc.2006.08.159(with V.P. Ramesh)
134.
High Resolution Scheme for Linear Hyperbolic System (Co
mmunicated with
Ritesh Kumar)
135.
A High resolution Shock Capturing Method for nonlinear Hyperbolic
Conservation Laws, (Communicated with Ritesh Kumar)
136.
Efficiency of high order numerical schemes for solving differential difference
equations on a priori adaptiv
e shishkin mesh (communicated with V.P. Ramesh)
137.
High order numerical scheme for Stein's model of neuronal variability without
turning point (Communicated with V.P. Ramesh)
138.
A uniformly convergent B

spline collocation method on a nonuniform mesh for
singular
ly perturbed time

dependent linear convection

diffusion problem
(Communicated with Vikas)
139.
A parameter uniform B

spline collocation method for solving singularly perturbed
turning point problem having twin boundary layers (Communicated with Vikas)
140.
B Spline collocation method for a two parameter singularly perturbed convection

diffusion BVPs (Communicated with Arjun Singh Yadaw)
141.
Geometric mesh FDM for self adjoint singular perturbation boundary value
problems to appear, Applied Maths & comp (with Dev
endra Kumar)
142.
Finite difference method for semilinear singularly perturbed boundary value
problems via initial value technique ( Communicated with Devendra Kumar)
143.
A new variable mesh FDM for self adjoint singularly perturbed two point
boundary value problem
s ( Communicated with Devendra Kumar)
144.
Space

time Galerkin Least

Squares method for the one

dimensional advection

diffusion equation.
(Communicated with Puneet Arora)
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