## Natesan, Srinivasan

Compute Distance To:
 Author ID: natesan.srinivasan Published as: Natesan, Srinivasan; Natesan, S. Homepage: http://www.iitg.ernet.in/natesan External Links: MGP · ORCID · ResearchGate · Math-Net.Ru · dblp · GND
 Documents Indexed: 111 Publications since 1988 Reviewing Activity: 137 Reviews Co-Authors: 26 Co-Authors with 69 Joint Publications 265 Co-Co-Authors
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### Co-Authors

 2 single-authored 8 Mukherjee, Kaushik 7 Bawa, Rajesh Kumar 7 Gowrisankar, S. 6 Avijit, D. 6 Das, Pratibhamoy 6 Mohapatra, Jugal 6 Singh, Gautam B. 6 Singh, Maneesh Kumar 6 Vigo-Aguiar, Jesus 5 Balasubramani, N. 5 Das, Abhishek 5 Kulkarni, Sudhir Hanmantrao 5 Prasad, M. Guru Prem 4 Iqbalunnisa, T. N. 4 Janakiraman, T. N. 3 Clavero, Carmelo 3 Conca, Carlos 2 Deb, Briti Sundar 2 Deb, Rajdeep 2 Majumdar, Anirban 2 Vanninathan, Muthusamy 1 Alagar, Vangular S. 1 Catlin, Paul A. 1 Cengizci, Süleyman 1 Das, Avijit 1 Duarte, Fabián 1 Garcia-Rubio, Raquel 1 Gormaz, Raúl 1 Haripriya, S. 1 Jayakumar, J. 1 Opatrny, Jaroslav 1 Parthasarathy, K. R. 1 Priya, S. G. Mohana 1 Queiruga, M. A. 1 Quintales, Luis M. 1 Ramanujam, M. 1 Ramos, Higinio 1 Sangeetha, S. 1 Sendur, Ali 1 Sotteau, Dominique 1 Thulasiraman, Krishnaiyan “KT” 1 Vaidehi, V.
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### Serials

 14 International Journal of Computer Mathematics 12 Applied Mathematics and Computation 8 Journal of Applied Mathematics and Computing 6 Computers & Mathematics with Applications 4 Journal of Optimization Theory and Applications 3 Calcolo 3 Neural, Parallel & Scientific Computations 3 CMES. Computer Modeling in Engineering & Sciences 3 International Journal of Applied and Computational Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical and Physical Sciences 2 Computing 2 Journal of Computational and Applied Mathematics 2 The Journal of the Indian Mathematical Society. New Series 2 Numerical Algorithms 2 Hacettepe Journal of Mathematics and Statistics 2 International Journal of Computational Methods 1 Computer Physics Communications 1 BIT 1 IEEE Transactions on Circuits and Systems 1 IEEE Transactions on Computers 1 International Journal for Numerical Methods in Engineering 1 Journal of Graph Theory 1 Mathematics and Computers in Simulation 1 Mathematica Japonica 1 Numerical Functional Analysis and Optimization 1 Mathematics Today 1 Applied Numerical Mathematics 1 Graphs and Combinatorics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Journal of the Ramanujan Mathematical Society 1 The Journal of Supercomputing 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Mathematical Chemistry 1 Differential Equations and Dynamical Systems 1 The Australian Journal of Mathematical Analysis and Applications 1 International Journal of Information & Systems Sciences 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Numerical Mathematics: Theory, Methods and Applications 1 International Journal for Numerical Methods in Biomedical Engineering
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### Fields

 90 Numerical analysis (65-XX) 31 Ordinary differential equations (34-XX) 27 Partial differential equations (35-XX) 9 Combinatorics (05-XX) 6 Fluid mechanics (76-XX) 5 Measure and integration (28-XX) 5 Functional analysis (46-XX) 4 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Real functions (26-XX) 2 Approximations and expansions (41-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

86 Publications have been cited 871 times in 427 Documents Cited by Year
A parallel boundary value technique for singularly perturbed two-point boundary value problems. Zbl 1070.65066
Vigo-Aguiar, J.; Natesan, S.
2004
Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers. Zbl 1033.65061
Natesan, S.; Jayakumar, J.; Vigo-Aguiar, J.
2003
An efficient numerical method for singular perturbation problems. Zbl 1095.65068
Vigo-Aguiar, J.; Natesan, S.
2006
A numerical algorithm for singular perturbation problems exhibiting weak boundary layers. Zbl 1036.65065
Natesan, S.; Vigo-Aguiar, J.; Ramanujam, N.
2003
Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems. Zbl 1338.65194
Das, Pratibhamoy; Natesan, Srinivasan
2014
A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers. Zbl 0943.65086
Natesan, S.; Ramanujam, N.
1998
Arbitrary Lagrangian–Eulerian method for Navier–Stokes equations with moving boundaries. Zbl 1112.76388
Duarte, Fabián; Gormaz, Raúl; Natesan, Srinivasan
2004
A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems. Zbl 1299.65153
Das, Pratibhamoy; Natesan, Srinivasan
2013
Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm. Zbl 1304.65180
Ramos, Higinio; Vigo-Aguiar, J.; Natesan, S.; García-Rubio, R.; Queiruga, M. A.
2010
Initial-value technique for singularly-perturbed turning-point problems exhibiting twin boundary layers. Zbl 0983.34050
Natesan, S.; Ramanujam, M.
1998
Uniform convergence analysis of finite difference scheme for singularly perturbed delay differential equation on an adaptively generated grid. Zbl 1224.65186
Mohapatra, Jugal; Natesan, Srinivasan
2010
$$\varepsilon$$-uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations. Zbl 1377.65103
Gowrisankar, S.; Natesan, Srinivasan
2017
Higher-order parameter uniform convergent schemes for Robin type reaction-diffusion problems using adaptively generated grid. Zbl 1359.65123
Das, Pratibhamoy; Natesan, Srinivasan
2012
Parameter-uniform hybrid numerical scheme for time-dependent convection-dominated initial-boundary-value problems. Zbl 1185.65149
Mukherjee, Kaushik; Natesan, Srinivasan
2009
Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations. Zbl 1317.65160
Das, Pratibhamoy; Natesan, Srinivasan
2015
Richardson extrapolation method for singularly perturbed convection-diffusion problems on adaptively generated mesh. Zbl 1356.65185
Das, Pratibhamoy; Natesan, Srinivasan
2013
Initial-value technique for singularly perturbed boundary-value problems for second-order ordinary differential equations arising in chemical reactor theory. Zbl 0908.65070
Natesan, S.; Ramanujam, N.
1998
Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers. Zbl 1109.65068
Shanthi, V.; Ramanujam, N.; Natesan, S.
2006
$$\varepsilon$$-uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with interior layers. Zbl 1227.65083
Mukherjee, Kaushik; Natesan, Srinivasan
2011
Richardson extrapolation technique for singularly perturbed parabolic convection–diffusion problems. Zbl 1243.65106
Mukherjee, Kaushik; Natesan, Srinivasan
2011
The parameter uniform numerical method for singularly perturbed parabolic reaction-diffusion problems on equidistributed grids. Zbl 1311.65111
Gowrisankar, S.; Natesan, Srinivasan
2013
A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems on equidistributed grids. Zbl 1312.65135
Gowrisankar, S.; Natesan, Srinivasan
2014
“Shooting method” for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer. Zbl 1035.65081
Natesan, S.; Ramanujam, N.
2002
Hamilton cycles and closed trails in iterated line graphs. Zbl 0721.05044
Catlin, Paul A.; Janakiraman; Iqbalunnisa, T. N.; Srinivasan, N.
1990
Uniformly convergent hybrid numerical scheme for singularly perturbed delay parabolic convection-diffusion problems on shishkin mesh. Zbl 1410.65305
Das, Abhishek; Natesan, Srinivasan
2015
A “booster method” for singular perturbation problems arising in chemical reactor theory. Zbl 0940.65081
Natesan, S.; Ramanujam, N.
1999
Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations. Zbl 1390.65063
Das, Abhishek; Natesan, Srinivasan
2018
Robust numerical scheme for singularly perturbed convection-diffusion parabolic initial-boundary-value problems on equidistributed grids. Zbl 1352.65292
Gowrisankar, S.; Natesan, Srinivasan
2014
Uniformly convergent second-order numerical method for singularly perturbed delay differential equations. Zbl 1169.65077
Mohapatra, Jugal; Natesan, Srinivasan
2008
Improvement of numerical solution of self-adjoint singular perturbation problems by incorporation of asymptotic approximations. Zbl 0940.65080
Natesan, S.; Ramanujam, N.
1999
A computational method for self-adjoint singular perturbation problems using quintic spline. Zbl 1084.65070
Bawa, R. K.; Natesan, S.
2005
Uniformly convergent numerical method for singularly perturbed parabolic initial-boundary-value problems with equidistributed grids. Zbl 1299.65211
Gowrisankar, S.; Natesan, Srinivasan
2014
Numerical solution of a system of singularly perturbed convection-diffusion boundary-value problems using mesh equidistribution technique. Zbl 1274.65200
Das, Pratibhamoy; Natesan, Srinivasan
2013
Parameter-uniform numerical method for global solution and global normalized flux of singularly perturbed boundary value problems using grid equidistribution. Zbl 1205.65221
Mohapatra, Jugal; Natesan, Srinivasan
2010
A Robust computational method for singularly perturbed coupled system of reaction-diffusion boundary-value problems. Zbl 1130.65082
Natesan, Srinivasan; Deb, Briti Sundar
2007
Uniformly convergent numerical method for singularly perturbed differential-difference equation using grid equidistribution. Zbl 1229.65132
Mohapatra, Jugal; Natesan, Srinivasan
2011
Second-order numerical scheme for singularly perturbed reaction-diffusion Robin problems. Zbl 1149.65060
Natesan, Srinivasan; Bawa, Rajesh K.
2007
Booster method for singularly-perturbed one-dimensional convection-diffusion Neumann problems. Zbl 0912.65072
Natesan, S.; Ramanujam, N.
1998
An efficient robust numerical method for singularly perturbed Burgers’ equation. Zbl 1429.65182
Gowrisankar, S.; Natesan, Srinivasan
2019
Higher-order time accurate numerical methods for singularly perturbed parabolic partial differential equations. Zbl 1169.65083
Deb, Rajdeep; Natesan, Srinivasan
2009
Richardson extrapolation method for singularly perturbed coupled system of convection-diffusion boundary-value problems. Zbl 1357.65102
Deb, Briti Sundar; Natesan, Srinivasan
2008
Parameter-uniform numerical methods for singularly perturbed mixed boundary value problems using grid equidistribution. Zbl 1291.65229
Mohapatra, Jugal; Natesan, Srinivasan
2011
Richardson extrapolation technique for singularly perturbed system of parabolic partial differential equations with exponential boundary layers. Zbl 1427.65186
Singh, Maneesh Kumar; Natesan, Srinivasan
2018
Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection-diffusion problems on Shishkin mesh. Zbl 1409.65052
Das, Abhishek; Natesan, Srinivasan
2018
Robust numerical scheme for singularly perturbed parabolic initial-boundary-value problems on equidistributed mesh. Zbl 1357.65126
Natesan, Srinivasan; Gowrisankar, S.
2012
‘Shooting method’ for singular perturbation problems arising in chemical reactor theory. Zbl 0933.65087
Natesan, S.; Ramanujam, N.
1998
Numerical methods for elliptic partial differential equations with rapidly oscillating coefficients. Zbl 1016.65089
Conca, C.; Natesan, S.
2003
An efficient numerical scheme for singularly perturbed parabolic problems with interior layer. Zbl 1163.65061
Mukherjee, Kaushik; Natesan, Srinivasan
2008
An $$\varepsilon$$-uniform hybrid numerical scheme for a singularly perturbed degenerate parabolic convection-diffusion problem. Zbl 07474834
Majumdar, Anirban; Natesan, Srinivasan
2019
Superconvergence of discontinuous Galerkin method with interior penalties for singularly perturbed two-point boundary-value problems. Zbl 1405.65091
Singh, Gautam; Natesan, Srinivasan
2018
Numerical experiments with the Bloch-Floquet approach in homogenization. Zbl 1121.65119
Conca, C.; Natesan, S.; Vanninathan, M.
2006
Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients. Zbl 1230.65104
Mukherjee, Kaushik; Natesan, Srinivasan
2011
‘Shooting method’ for singularly perturbed one-dimensional reaction-diffusion Neumann problems. Zbl 0946.65063
Natesan, S.; Ramanujam, N.
1999
An asymptotic-numerical method for singularly perturbed Robin problems. I. Zbl 1030.34051
Natesan, S.; Ramanujam, N.
2002
The parameter-robust numerical method based on defect-correction technique for singularly perturbed delay differential equations with layer behavior. Zbl 1270.65041
Mohapatra, Jugal; Natesan, Srinivasan
2010
A robust second-order numerical method for global solution and global normalized flux of singularly perturbed self-adjoint boundary-value problems. Zbl 1180.65089
Clavero, C.; Bawa, R. K.; Natesan, S.
2009
Alternating direction numerical scheme for singularly perturbed 2D degenerate parabolic convection-diffusion problems. Zbl 1427.65176
Majumdar, Anirban; Natesan, Srinivasan
2017
Uniformly convergent compact numerical scheme for the normalized flux of singularly perturbed reaction-diffusion problems. Zbl 1130.65081
Natesan, Srinivasan; Bawa, Rajesh K.; Clavero, Carmelo
2007
“Booster method” for singularly perturbed Robin problems. I. Zbl 0969.65072
Natesan, S.; Ramanujam, N.
2000
A robust numerical scheme for singularly perturbed parabolic reaction-diffusion problems. Zbl 1187.65093
Natesan, Srinivasan; Deb, Rajdeep
2008
Study of the NIPG method for two-parameter singular perturbation problems on several layer adapted grids. Zbl 1475.65058
Singh, Gautam; Natesan, Srinivasan
2020
SDFEM for singularly perturbed boundary-value problems with two parameters. Zbl 1475.65060
Avijit, D.; Natesan, S.
2020
Highly fault-tolerant communication network models. Zbl 0666.94026
Opatrny, Jaroslav; Srinivasan, N.; Alagar, Vangular S.
1989
On antipodal, eccentric and super-eccentric graph of a graph. Zbl 0688.05041
Iqbalunnisa; Janakiraman, T. N.; Srinivasan, N.
1989
DCC linear congruential graphs: A new class of interconnection networks. Zbl 1068.68559
Opatrny, J.; Sotteau, D.; Srinivasan, N.; Thulasiraman, K.
1996
Numerical solution of elliptic partial differential equations by Bloch waves method. Zbl 1016.65085
Conca, Carlos; Natesan, Srinivasan; Vanninathan, Muthusamy
2001
Numerical solution of 2D singularly perturbed reaction-diffusion system with multiple scales. Zbl 1446.65077
Singh, Maneesh Kumar; Natesan, Srinivasan
2020
Fractional step method for singularly perturbed 2D delay parabolic convection diffusion problems on Shishkin mesh. Zbl 1401.65092
Das, Abhishek; Natesan, Srinivasan
2018
A uniformly convergent numerical scheme for a coupled system of singularly perturbed reaction-diffusion equations. Zbl 1451.65096
Singh, Gautam; Natesan, Srinivasan
2020
A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems. Zbl 1480.65224
Singh, Maneesh Kumar; Natesan, Srinivasan
2020
Parameter-uniform numerical method for singularly perturbed 2D delay parabolic convection-diffusion problems on Shishkin mesh. Zbl 1422.65150
Das, Abhishek; Natesan, Srinivasan
2019
Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection-diffusion problems. Zbl 1422.65176
Mukherjee, Kaushik; Natesan, Srinivasan
2019
A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature. Zbl 1475.65053
Singh, Maneesh Kumar; Singh, Gautam; Natesan, Srinivasan
2021
Bigeodetic graphs. Zbl 0657.05064
Srinivasan, N.; Opatrny, J.; Alagar, V. S.
1988
Booster method for singularly-perturbed one-dimensional reaction-diffusion Neumann problems. Zbl 0963.65082
Natesan, S.; Ramanujam, N.
2000
Note on iterated total graphs. Zbl 0748.05050
Iqbalunnisa; Janakiraman, T. N.; Srinivasan, N.
1990
An efficient hybrid numerical scheme for convection-dominated boundary-value problems. Zbl 1158.65330
Bawa, Rajesh K.; Natesan, Srinivasan
2009
Uniform convergence analysis of hybrid numerical scheme for singularly perturbed problems of mixed type. Zbl 1314.65116
Mukherjee, Kaushik; Natesan, Srinivasan
2014
Uniformly convergent computational technique for singularly perturbed self-adjoint mixed boundary-value problems. Zbl 1120.65322
Bawa, Rajesh K.; Natesan, S.
2005
An efficient parallel algorithm for the numerical solution of Schrödinger equation. Zbl 1044.81554
Vigo-Aguiar, Jesús; Quintales, Luis M.; Natesan, Srinivasan
2001
SDFEM for singularly perturbed parabolic initial-boundary-value problems on equidistributed grids. Zbl 1451.65141
Avijit, D.; Natesan, S.
2020
An efficient hybrid numerical scheme for singularly perturbed problems of mixed parabolic-elliptic type. Zbl 1352.65257
Mukherjee, Kaushik; Natesan, Srinivasan
2013
Fractal cubic spline methods for singular boundary-value problems. Zbl 07210598
Balasubramani, N.; Prasad, M. Guru Prem; Natesan, S.
2020
Constrained and convex interpolation through rational cubic fractal interpolation surface. Zbl 1413.28007
Balasubramani, N.; Prasad, M. Guru Prem; Natesan, S.
2018
Efficient numerical methods for singularly perturbed differential equations. Zbl 1356.65187
Natesan, S.
2013
An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems. Zbl 1411.65096
Cengizci, Süleyman; Natesan, Srinivasan; Atay, Mehmet Tarık
2019
A unified study on superconvergence analysis of Galerkin FEM for singularly perturbed systems of multiscale nature. Zbl 1475.65053
Singh, Maneesh Kumar; Singh, Gautam; Natesan, Srinivasan
2021
Study of the NIPG method for two-parameter singular perturbation problems on several layer adapted grids. Zbl 1475.65058
Singh, Gautam; Natesan, Srinivasan
2020
SDFEM for singularly perturbed boundary-value problems with two parameters. Zbl 1475.65060
Avijit, D.; Natesan, S.
2020
Numerical solution of 2D singularly perturbed reaction-diffusion system with multiple scales. Zbl 1446.65077
Singh, Maneesh Kumar; Natesan, Srinivasan
2020
A uniformly convergent numerical scheme for a coupled system of singularly perturbed reaction-diffusion equations. Zbl 1451.65096
Singh, Gautam; Natesan, Srinivasan
2020
A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems. Zbl 1480.65224
Singh, Maneesh Kumar; Natesan, Srinivasan
2020
SDFEM for singularly perturbed parabolic initial-boundary-value problems on equidistributed grids. Zbl 1451.65141
Avijit, D.; Natesan, S.
2020
Fractal cubic spline methods for singular boundary-value problems. Zbl 07210598
Balasubramani, N.; Prasad, M. Guru Prem; Natesan, S.
2020
An efficient robust numerical method for singularly perturbed Burgers’ equation. Zbl 1429.65182
Gowrisankar, S.; Natesan, Srinivasan
2019
An $$\varepsilon$$-uniform hybrid numerical scheme for a singularly perturbed degenerate parabolic convection-diffusion problem. Zbl 07474834
Majumdar, Anirban; Natesan, Srinivasan
2019
Parameter-uniform numerical method for singularly perturbed 2D delay parabolic convection-diffusion problems on Shishkin mesh. Zbl 1422.65150
Das, Abhishek; Natesan, Srinivasan
2019
Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection-diffusion problems. Zbl 1422.65176
Mukherjee, Kaushik; Natesan, Srinivasan
2019
An asymptotic-numerical hybrid method for singularly perturbed system of two-point reaction-diffusion boundary-value problems. Zbl 1411.65096
Cengizci, Süleyman; Natesan, Srinivasan; Atay, Mehmet Tarık
2019
Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations. Zbl 1390.65063
Das, Abhishek; Natesan, Srinivasan
2018
Richardson extrapolation technique for singularly perturbed system of parabolic partial differential equations with exponential boundary layers. Zbl 1427.65186
Singh, Maneesh Kumar; Natesan, Srinivasan
2018
Higher-order convergence with fractional-step method for singularly perturbed 2D parabolic convection-diffusion problems on Shishkin mesh. Zbl 1409.65052
Das, Abhishek; Natesan, Srinivasan
2018
Superconvergence of discontinuous Galerkin method with interior penalties for singularly perturbed two-point boundary-value problems. Zbl 1405.65091
Singh, Gautam; Natesan, Srinivasan
2018
Fractional step method for singularly perturbed 2D delay parabolic convection diffusion problems on Shishkin mesh. Zbl 1401.65092
Das, Abhishek; Natesan, Srinivasan
2018
Constrained and convex interpolation through rational cubic fractal interpolation surface. Zbl 1413.28007
Balasubramani, N.; Prasad, M. Guru Prem; Natesan, S.
2018
$$\varepsilon$$-uniformly convergent numerical scheme for singularly perturbed delay parabolic partial differential equations. Zbl 1377.65103
Gowrisankar, S.; Natesan, Srinivasan
2017
Alternating direction numerical scheme for singularly perturbed 2D degenerate parabolic convection-diffusion problems. Zbl 1427.65176
Majumdar, Anirban; Natesan, Srinivasan
2017
Adaptive mesh generation for singularly perturbed fourth-order ordinary differential equations. Zbl 1317.65160
Das, Pratibhamoy; Natesan, Srinivasan
2015
Uniformly convergent hybrid numerical scheme for singularly perturbed delay parabolic convection-diffusion problems on shishkin mesh. Zbl 1410.65305
Das, Abhishek; Natesan, Srinivasan
2015
Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems. Zbl 1338.65194
Das, Pratibhamoy; Natesan, Srinivasan
2014
A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems on equidistributed grids. Zbl 1312.65135
Gowrisankar, S.; Natesan, Srinivasan
2014
Robust numerical scheme for singularly perturbed convection-diffusion parabolic initial-boundary-value problems on equidistributed grids. Zbl 1352.65292
Gowrisankar, S.; Natesan, Srinivasan
2014
Uniformly convergent numerical method for singularly perturbed parabolic initial-boundary-value problems with equidistributed grids. Zbl 1299.65211
Gowrisankar, S.; Natesan, Srinivasan
2014
Uniform convergence analysis of hybrid numerical scheme for singularly perturbed problems of mixed type. Zbl 1314.65116
Mukherjee, Kaushik; Natesan, Srinivasan
2014
A uniformly convergent hybrid scheme for singularly perturbed system of reaction-diffusion Robin type boundary-value problems. Zbl 1299.65153
Das, Pratibhamoy; Natesan, Srinivasan
2013
Richardson extrapolation method for singularly perturbed convection-diffusion problems on adaptively generated mesh. Zbl 1356.65185
Das, Pratibhamoy; Natesan, Srinivasan
2013
The parameter uniform numerical method for singularly perturbed parabolic reaction-diffusion problems on equidistributed grids. Zbl 1311.65111
Gowrisankar, S.; Natesan, Srinivasan
2013
Numerical solution of a system of singularly perturbed convection-diffusion boundary-value problems using mesh equidistribution technique. Zbl 1274.65200
Das, Pratibhamoy; Natesan, Srinivasan
2013
An efficient hybrid numerical scheme for singularly perturbed problems of mixed parabolic-elliptic type. Zbl 1352.65257
Mukherjee, Kaushik; Natesan, Srinivasan
2013
Efficient numerical methods for singularly perturbed differential equations. Zbl 1356.65187
Natesan, S.
2013
Higher-order parameter uniform convergent schemes for Robin type reaction-diffusion problems using adaptively generated grid. Zbl 1359.65123
Das, Pratibhamoy; Natesan, Srinivasan
2012
Robust numerical scheme for singularly perturbed parabolic initial-boundary-value problems on equidistributed mesh. Zbl 1357.65126
Natesan, Srinivasan; Gowrisankar, S.
2012
$$\varepsilon$$-uniform error estimate of hybrid numerical scheme for singularly perturbed parabolic problems with interior layers. Zbl 1227.65083
Mukherjee, Kaushik; Natesan, Srinivasan
2011
Richardson extrapolation technique for singularly perturbed parabolic convection–diffusion problems. Zbl 1243.65106
Mukherjee, Kaushik; Natesan, Srinivasan
2011
Uniformly convergent numerical method for singularly perturbed differential-difference equation using grid equidistribution. Zbl 1229.65132
Mohapatra, Jugal; Natesan, Srinivasan
2011
Parameter-uniform numerical methods for singularly perturbed mixed boundary value problems using grid equidistribution. Zbl 1291.65229
Mohapatra, Jugal; Natesan, Srinivasan
2011
Optimal error estimate of upwind scheme on Shishkin-type meshes for singularly perturbed parabolic problems with discontinuous convection coefficients. Zbl 1230.65104
Mukherjee, Kaushik; Natesan, Srinivasan
2011
Numerical solution of nonlinear singularly perturbed problems on nonuniform meshes by using a non-standard algorithm. Zbl 1304.65180
Ramos, Higinio; Vigo-Aguiar, J.; Natesan, S.; García-Rubio, R.; Queiruga, M. A.
2010
Uniform convergence analysis of finite difference scheme for singularly perturbed delay differential equation on an adaptively generated grid. Zbl 1224.65186
Mohapatra, Jugal; Natesan, Srinivasan
2010
Parameter-uniform numerical method for global solution and global normalized flux of singularly perturbed boundary value problems using grid equidistribution. Zbl 1205.65221
Mohapatra, Jugal; Natesan, Srinivasan
2010
The parameter-robust numerical method based on defect-correction technique for singularly perturbed delay differential equations with layer behavior. Zbl 1270.65041
Mohapatra, Jugal; Natesan, Srinivasan
2010
Parameter-uniform hybrid numerical scheme for time-dependent convection-dominated initial-boundary-value problems. Zbl 1185.65149
Mukherjee, Kaushik; Natesan, Srinivasan
2009
Higher-order time accurate numerical methods for singularly perturbed parabolic partial differential equations. Zbl 1169.65083
Deb, Rajdeep; Natesan, Srinivasan
2009
A robust second-order numerical method for global solution and global normalized flux of singularly perturbed self-adjoint boundary-value problems. Zbl 1180.65089
Clavero, C.; Bawa, R. K.; Natesan, S.
2009
An efficient hybrid numerical scheme for convection-dominated boundary-value problems. Zbl 1158.65330
Bawa, Rajesh K.; Natesan, Srinivasan
2009
Uniformly convergent second-order numerical method for singularly perturbed delay differential equations. Zbl 1169.65077
Mohapatra, Jugal; Natesan, Srinivasan
2008
Richardson extrapolation method for singularly perturbed coupled system of convection-diffusion boundary-value problems. Zbl 1357.65102
Deb, Briti Sundar; Natesan, Srinivasan
2008
An efficient numerical scheme for singularly perturbed parabolic problems with interior layer. Zbl 1163.65061
Mukherjee, Kaushik; Natesan, Srinivasan
2008
A robust numerical scheme for singularly perturbed parabolic reaction-diffusion problems. Zbl 1187.65093
Natesan, Srinivasan; Deb, Rajdeep
2008
A Robust computational method for singularly perturbed coupled system of reaction-diffusion boundary-value problems. Zbl 1130.65082
Natesan, Srinivasan; Deb, Briti Sundar
2007
Second-order numerical scheme for singularly perturbed reaction-diffusion Robin problems. Zbl 1149.65060
Natesan, Srinivasan; Bawa, Rajesh K.
2007
Uniformly convergent compact numerical scheme for the normalized flux of singularly perturbed reaction-diffusion problems. Zbl 1130.65081
Natesan, Srinivasan; Bawa, Rajesh K.; Clavero, Carmelo
2007
An efficient numerical method for singular perturbation problems. Zbl 1095.65068
Vigo-Aguiar, J.; Natesan, S.
2006
Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers. Zbl 1109.65068
Shanthi, V.; Ramanujam, N.; Natesan, S.
2006
Numerical experiments with the Bloch-Floquet approach in homogenization. Zbl 1121.65119
Conca, C.; Natesan, S.; Vanninathan, M.
2006
A computational method for self-adjoint singular perturbation problems using quintic spline. Zbl 1084.65070
Bawa, R. K.; Natesan, S.
2005
Uniformly convergent computational technique for singularly perturbed self-adjoint mixed boundary-value problems. Zbl 1120.65322
Bawa, Rajesh K.; Natesan, S.
2005
A parallel boundary value technique for singularly perturbed two-point boundary value problems. Zbl 1070.65066
Vigo-Aguiar, J.; Natesan, S.
2004
Arbitrary Lagrangian–Eulerian method for Navier–Stokes equations with moving boundaries. Zbl 1112.76388
Duarte, Fabián; Gormaz, Raúl; Natesan, Srinivasan
2004
Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers. Zbl 1033.65061
Natesan, S.; Jayakumar, J.; Vigo-Aguiar, J.
2003
A numerical algorithm for singular perturbation problems exhibiting weak boundary layers. Zbl 1036.65065
Natesan, S.; Vigo-Aguiar, J.; Ramanujam, N.
2003
Numerical methods for elliptic partial differential equations with rapidly oscillating coefficients. Zbl 1016.65089
Conca, C.; Natesan, S.
2003
“Shooting method” for the solution of singularly perturbed two-point boundary-value problems having less severe boundary layer. Zbl 1035.65081
Natesan, S.; Ramanujam, N.
2002
An asymptotic-numerical method for singularly perturbed Robin problems. I. Zbl 1030.34051
Natesan, S.; Ramanujam, N.
2002
Numerical solution of elliptic partial differential equations by Bloch waves method. Zbl 1016.65085
Conca, Carlos; Natesan, Srinivasan; Vanninathan, Muthusamy
2001
An efficient parallel algorithm for the numerical solution of Schrödinger equation. Zbl 1044.81554
Vigo-Aguiar, Jesús; Quintales, Luis M.; Natesan, Srinivasan
2001
“Booster method” for singularly perturbed Robin problems. I. Zbl 0969.65072
Natesan, S.; Ramanujam, N.
2000
Booster method for singularly-perturbed one-dimensional reaction-diffusion Neumann problems. Zbl 0963.65082
Natesan, S.; Ramanujam, N.
2000
A “booster method” for singular perturbation problems arising in chemical reactor theory. Zbl 0940.65081
Natesan, S.; Ramanujam, N.
1999
Improvement of numerical solution of self-adjoint singular perturbation problems by incorporation of asymptotic approximations. Zbl 0940.65080
Natesan, S.; Ramanujam, N.
1999
‘Shooting method’ for singularly perturbed one-dimensional reaction-diffusion Neumann problems. Zbl 0946.65063
Natesan, S.; Ramanujam, N.
1999
A computational method for solving singularly perturbed turning point problems exhibiting twin boundary layers. Zbl 0943.65086
Natesan, S.; Ramanujam, N.
1998
Initial-value technique for singularly-perturbed turning-point problems exhibiting twin boundary layers. Zbl 0983.34050
Natesan, S.; Ramanujam, M.
1998
Initial-value technique for singularly perturbed boundary-value problems for second-order ordinary differential equations arising in chemical reactor theory. Zbl 0908.65070
Natesan, S.; Ramanujam, N.
1998
Booster method for singularly-perturbed one-dimensional convection-diffusion Neumann problems. Zbl 0912.65072
Natesan, S.; Ramanujam, N.
1998
‘Shooting method’ for singular perturbation problems arising in chemical reactor theory. Zbl 0933.65087
Natesan, S.; Ramanujam, N.
1998
DCC linear congruential graphs: A new class of interconnection networks. Zbl 1068.68559
Opatrny, J.; Sotteau, D.; Srinivasan, N.; Thulasiraman, K.
1996
Hamilton cycles and closed trails in iterated line graphs. Zbl 0721.05044
Catlin, Paul A.; Janakiraman; Iqbalunnisa, T. N.; Srinivasan, N.
1990
Note on iterated total graphs. Zbl 0748.05050
Iqbalunnisa; Janakiraman, T. N.; Srinivasan, N.
1990
Highly fault-tolerant communication network models. Zbl 0666.94026
Opatrny, Jaroslav; Srinivasan, N.; Alagar, Vangular S.
1989
On antipodal, eccentric and super-eccentric graph of a graph. Zbl 0688.05041
Iqbalunnisa; Janakiraman, T. N.; Srinivasan, N.
1989
Bigeodetic graphs. Zbl 0657.05064
Srinivasan, N.; Opatrny, J.; Alagar, V. S.
1988
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### Cited by 491 Authors

 49 Natesan, Srinivasan 36 Simos, Theodore E. 20 Mohapatra, Jugal 14 Duressa, Gemechis File 13 Lin, Chialiang 13 Liu, Li-Bin 12 Vigo-Aguiar, Jesus 10 Ramos, Higinio 9 Das, Pratibhamoy 9 Mukherjee, Kaushik 8 Das, Abhishek 8 Kumar, Sunil 8 Subburayan, Veerasamy 7 Cen, Zhongdi 7 Fang, Yonglei 7 Medvedev, Maxim A. 7 Medvedeva, Marina A. 6 Chandru, M. 6 Clavero, Carmelo 6 Kaushik, Aditya 6 Kumar Mishra, Hradyesh 6 Long, Guangqing 6 Tamilselvan, Ayyadurai 6 Valanarasu, T. 5 Avijit, D. 5 Bansal, Komal 5 Bawa, Rajesh Kumar 5 Geng, Fazhan 5 Kadalbajoo, Mohan K. 5 Prabha, T. 5 Rai, Pratima 5 Ramanujam, Narasimhan 5 Sharma, Kapil Kumar 5 Singh, Maneesh Kumar 5 Sumit, S. 5 Valarmathi, Sigamani 5 Xu, Aimin 4 Abbasbandy, Saeid 4 Allahviranloo, Tofigh 4 Derese, Getachew Adamu 4 Govindarao, L. 4 Gowrisankar, S. 4 Gupta, Vikas 4 Liu, Chein-Shan 4 Mbroh, Nana Adjoah 4 Prithvi, M. 4 Ramesh, V. P. 4 Shakti, Deepti 4 Singh, Gautam B. 4 Singh, Satpal 4 Tiruneh, Awoke Andargie 3 Abass, Rustam 3 Bullo, Tesfaye Aga 3 Chen, Yanping 3 Degla, Guy Aymard 3 Dubey, Ritesh Kumar 3 Geetha, Neelamegam 3 Gelu, Fasika Wondimu 3 Kukreja, Vijay Kumar 3 Kumar, Kamalesh 3 Kumar, Vijayant 3 Kumari, Archna 3 Le, Anbo 3 Liang, Ying 3 Munyakazi, Justin B. 3 Priyadarshana, S. 3 Qian, Suping 3 Sahihi, Hussein 3 Sahu, Subal Ranjan 3 Shah, Firdous Ahmad 3 Tefera, Dagnachew Mengstie 3 Wang, Zenggui 3 Woldaregay, Mesfin Mekuria 3 Yadav, Swati 3 You, Xiong 2 Aakansha 2 Abd-Elhameed, Waleed Mohamed 2 Amirali, Ilhame 2 Avudai Selvi, P. 2 Aziz, Tariq 2 Babu, Gajendra 2 Bak, Soyoon 2 Bao, Xiaobing 2 Barati, Ali 2 Cao, Liqun 2 Chakravarthy, P. Pramod 2 Chawla, Sheetal 2 Chen, Rongliang 2 Conca, Carlos 2 Deswal, Komal 2 Ejaz, Syeda Tehmina 2 Fazal-i-Haq 2 Garcia-Rubio, Raquel 2 Govindrao, L. 2 Gracia, José Luis 2 Gupta, Aastha 2 Huang, Jian 2 Huang, Zaitang 2 Jayakumar, J. 2 Jorge, Juan Carlos ...and 391 more Authors
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### Cited in 98 Serials

 50 Journal of Mathematical Chemistry 46 Applied Mathematics and Computation 33 Journal of Computational and Applied Mathematics 31 International Journal of Computer Mathematics 21 Journal of Applied Mathematics and Computing 17 International Journal of Applied and Computational Mathematics 13 Numerical Algorithms 11 Mathematics and Computers in Simulation 10 Computers & Mathematics with Applications 10 Computational and Applied Mathematics 8 Journal of Computational Physics 8 Differential Equations and Dynamical Systems 8 International Journal of Computational Methods 7 Calcolo 6 Journal of Optimization Theory and Applications 6 Applied Numerical Mathematics 6 Journal of Difference Equations and Applications 6 Advances in Difference Equations 6 Iranian Journal of Numerical Analysis and Optimization 5 Applied Mathematics Letters 5 Abstract and Applied Analysis 4 Computer Methods in Applied Mechanics and Engineering 4 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 3 International Journal of Mathematics and Mathematical Sciences 3 Numerical Functional Analysis and Optimization 3 Computational Mathematics and Modeling 3 Journal of Applied Mathematics 3 Journal of Applied Mathematics & Informatics 2 Computers and Fluids 2 Indian Journal of Pure & Applied Mathematics 2 BIT 2 Computing 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of the Nigerian Mathematical Society 2 Advances in Engineering Software 2 Turkish Journal of Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Communications in Nonlinear Science and Numerical Simulation 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Mathematical Modelling and Analysis 2 Mediterranean Journal of Mathematics 2 International Journal for Computational Methods in Engineering Science and Mechanics 2 Journal of Mathematical Modeling 2 Electronic Research Archive 2 Results in Applied Mathematics 1 Acta Mechanica 1 Computer Physics Communications 1 Journal of the Franklin Institute 1 Chaos, Solitons and Fractals 1 Automatica 1 International Journal for Numerical Methods in Engineering 1 Kybernetika 1 Kyungpook Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 SIAM Journal on Applied Mathematics 1 Mathematical Programming. Series A. Series B 1 Tatra Mountains Mathematical Publications 1 The Journal of Analysis 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Filomat 1 ETNA. Electronic Transactions on Numerical Analysis 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Arab Journal of Mathematical Sciences 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Mathematical Communications 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 International Journal of Applied Mathematics and Computer Science 1 Computational Geosciences 1 Journal of Dynamical and Control Systems 1 Qualitative Theory of Dynamical Systems 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 Computational Methods in Applied Mathematics 1 Iranian Journal of Science and Technology. Transaction A: Science 1 Journal of Analysis and Applications 1 Hacettepe Journal of Mathematics and Statistics 1 Thai Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Mathematical Physics 1 International Journal of Differential Equations 1 International Journal for Numerical Methods in Biomedical Engineering 1 Numerical Algebra, Control and Optimization 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Applied Analysis and Computation 1 Palestine Journal of Mathematics 1 Mathematical Sciences 1 Mathematics 1 Journal of Function Spaces 1 Computational Methods for Differential Equations 1 Cogent Mathematics 1 AIMS Mathematics
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### Cited in 28 Fields

 390 Numerical analysis (65-XX) 116 Ordinary differential equations (34-XX) 116 Partial differential equations (35-XX) 52 Fluid mechanics (76-XX) 25 Quantum theory (81-XX) 14 Biology and other natural sciences (92-XX) 9 Mechanics of deformable solids (74-XX) 7 Integral equations (45-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Systems theory; control (93-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 4 Real functions (26-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Operations research, mathematical programming (90-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX)