Shashikant Kumar

Generating author description...

All published works

Action	Title	Year	Authors
+	A priori and a posteriori error estimates for efficient numerical schemes for coupled systems of linear and nonlinear singularly perturbed initial-value problems	2024	C. Clavero Shashikant Kumar Sunil Kumar
+	Second-order a priori and a posteriori error estimations for integral boundary value problems of nonlinear singularly perturbed parameterized form	2024	Shashikant Kumar Sunil Kumar Pratibhamoy Das
+ PDF Chat	A parameter uniform numerical method on a Bakhvalov type mesh for singularly perturbed degenerate parabolic convection–diffusion problems	2024	Shashikant Kumar Sunil Kumar Higinio Ramos Kuldeep
+	A priori and a posteriori error analysis for a system of singularly perturbed Volterra integro-differential equations	2023	Aishwarya Jaiswal Shashikant Kumar Sunil Kumar
+	A priori and a posteriori error estimation for singularly perturbed delay integro-differential equations	2023	Sunil Kumar Shashikant Kumar Sumit Saini
+	A high order convergent adaptive numerical method for singularly perturbed nonlinear systems	2022	Sumit Saini Shashikant Kumar Sunil Kumar
+	A posteriori error estimation for quasilinear singularly perturbed problems with integral boundary condition	2021	Sunil Kumar Shashikant Kumar Sumit Saini
+	High‐order convergent methods for singularly perturbed quasilinear problems with integral boundary conditions	2020	Sunil Kumar Shashikant Kumar

Common Coauthors

Coauthor	Papers Together
Sunil Kumar	8
Sumit Saini	3
C. Clavero	1
Kuldeep	1
Higinio Ramos	1
Aishwarya Jaiswal	1
Pratibhamoy Das	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Fitted Numerical Methods for Singular Perturbation Problems	1996	John J. H. Miller Eugene O’Riordan G. I. Shishkin	6
+	Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems	2009	Torsten Linß	5
+	Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems	2015	Pratibhamoy Das	5
+	A posteriori error estimation for a singularly perturbed Volterra integro-differential equation	2019	Jian Huang Zhongdi Cen Aimin Xu Li‐Bin Liu	4
+	Good Approximation by Splines with Variable Knots	1973	Carl de Boor	4
+	Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems	1996	Hans‐Görg Roos Martin Stynes Lutz Tobiska	4
+	Analysis of some numerical methods on layer adapted meshes for singularly perturbed quasilinear systems	2015	Sunil Kumar Mukesh Kumar	4
+	A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem	2001	Natalia Kopteva Martin Stynes	4
+	A posteriori error estimation for quasilinear singularly perturbed problems with integral boundary condition	2021	Sunil Kumar Shashikant Kumar Sumit Saini	4
+	Singular Perturbation Methods for Ordinary Differential Equations	1991	Robert E. O’Malley	3
+	Robust higher order finite difference scheme for singularly perturbed turning point problem with two outflow boundary layers	2021	Vikas Gupta Sanjay K. Sahoo Ritesh Kumar Dubey	3
+	Parameter-robust numerical method for a system of singularly perturbed initial value problems	2011	Sunil Kumar Mukesh Kumar	3
+	Uniform difference method for a parameterized singular perturbation problem	2005	Gabil M. Amiraliyev Mustafa Kudu Hakkı Duru	3
+	A note on a parameterized singular perturbation problem	2005	Gabil M. Amiraliyev Hakkı Duru	3
+	Convergence of de Boor's algorithm for the generation of equidistributing meshes	2010	Xiangmin Xu Weizhang Huang Robert D. Russell Jim Williams	3
+	A uniformly convergent numerical method for a singularly perturbed Volterra integro-differential equation	2019	Bakulikira C. Iragi Justin B. Munyakazi	3
+	A uniformly convergent nonstandard finite difference scheme for a system of convection–diffusion equations	2014	Justin B. Munyakazi	3
+	A robust adaptive grid method for a nonlinear singularly perturbed differential equation with integral boundary condition	2019	Li‐Bin Liu Guangqing Long Zhongdi Cen	3
+	A fitted operator finite difference method of lines for singularly perturbed parabolic convection–diffusion problems	2019	Nana Adjoah Mbroh Justin B. Munyakazi	3
+	Analysis of a nonlinear singularly perturbed Volterra integro-differential equation	2021	Sumit Saini Sunil Kumar J. Vigo‐Aguiar	3
+	Numerical Solution of Boundary Value Problems for Ordinary Differential Equations	1995	Uri M. Ascher Robert M. M. Mattheij Robert D. Russell	3
+	A second order uniformly convergent numerical scheme for parameterized singularly perturbed delay differential problems	2016	Sunil Kumar Mukesh Kumar	3
+	On a uniformly accurate finite difference approximation of a singularly perturbed reaction–diffusion problem using grid equidistribution	2001	George Beckett J.A. Mackenzie	2
+	Higher order robust numerical computation for singularly perturbed problem involving discontinuous convective and source term	2022	Sanjay K. Sahoo Vikas Gupta	2
+	A high order convergent adaptive numerical method for singularly perturbed nonlinear systems	2022	Sumit Saini Shashikant Kumar Sunil Kumar	2
+	A novel method for a class of parameterized singularly perturbed boundary value problems	2007	Feng Xie Jian Wang Weijiang Zhang M. He	2
+	Good approximation by splines with variable knots. II	1974	Carl de Boor	2
+	Convergence analysis of the homogeneous second order difference method for a singularly perturbed Volterra delay-integro-differential equation	2021	Ömer Yapman Gabil M. Amiraliyev	2
+	High‐order convergent methods for singularly perturbed quasilinear problems with integral boundary conditions	2020	Sunil Kumar Shashikant Kumar	2
+ PDF Chat	A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer	2019	Justin B. Munyakazi Kailash C. Patidar Mbani T. Sayi	2
+	A parameter-uniform grid equidistribution method for singularly perturbed degenerate parabolic convection–diffusion problems	2020	Sunil Kumar Sumit Saini J. Vigo‐Aguiar	2
+	Justification of a numerical-analytic method of successive approximations for problems with integral boundary conditions	1991	А. М. Самойленко S. V. Martynyuk	2
+	Robust Computational Techniques for Boundary Layers	2000	Paul A. Farrell Alan F. Hegarty John Miller Eugene O’Riordan G. I. Shishkin	2
+	A second-order difference scheme for a parameterized singular perturbation problem	2007	Zhongdi Cen	2
+	An improved a posteriori error estimation for a parameterized singular perturbation problem	2020	Jian Huang Zhongdi Cen Aimin Xu	2
+	A finite-difference method for a singularly perturbed delay integro-differential equation	2016	Mustafa Kudu İlhame Amirali Gabil M. Amiraliyev	2
+	Maximum Norm A Posteriori Error Estimates for a One-Dimensional Convection-Diffusion Problem	2001	Natalia Kopteva	2
+ PDF Chat	A parameter uniform difference scheme for the parameterized singularly perturbed problem with integral boundary condition	2018	Mustafa Kudu	2
+	A numerical treatment for singularly perturbed differential equations with integral boundary condition	2006	Gabil M. Amiraliyev I. G. Amiraliyeva Mustafa Kudu	2
+	Grid equidistribution for reaction–diffusion problems in one dimension	2005	Natalia Kopteva Niall Madden Martin Stynes	2
+	Convergence analysis of finite difference approximations on equidistributed grids to a singularly perturbed boundary value problem	2000	George Beckett J. A. Mackenzie	2
+	A rational spectral collocation method for solving a class of parameterized singular perturbation problems	2009	Yingwei Wang Suqin Chen Xionghua Wu	2
+	A second-order hybrid finite difference scheme for a system of singularly perturbed initial value problems	2010	Zhongdi Cen Aimin Xu Anbo Le	2
+	A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equation	2019	Ömer Yapman Gabil M. Amiraliyev	2
+	High order parameter-uniform discretization for singularly perturbed parabolic partial differential equations with time delay	2014	Sunil Kumar Mukesh Kumar	2
+	Layer-adapted methods for quasilinear singularly perturbed delay differential problems	2014	Sunil Kumar	2
+ PDF Chat	Uniform numerical approximation for parameter dependent singularly perturbed problem with integral boundary condition	2018	Mustafa Kudu Ilhame Amirali Gabil M. Amiraliyev	2
+	A parameter uniform numerical method for a system of singularly perturbed ordinary differential equations	2007	S. Hemavathi T. Bhuvaneswari Valarmathi Sigamani John J. H. Miller	1
+	Extensions of quasilinearization method for differential equations with integral boundary conditions	2003	Tadeusz Jankowski	1
+ PDF Chat	Singular perturbations and time-scale methods in control theory: Survey 1976–1983	1984	V.R. Saksena J. O’Reilly P.V. Kokotović	1