An efficient integration algorithm for a class of discontinuous dynamical systems in sliding motion. - Jyoti Agrawal; Kannan M. Moudgalya; Amiya K. Pani (ACC, 2002)

Control of a high index DAE system through a linear control law. - Prashant Vora; Kannan M. Moudgalya; Amiya K. Pani (ACC, 2002)

An H1-Galerkin Mixed Finite Element Method for an Evolution Equation with a Positive-Type Memory Term. - Amiya Kumar Pani; Graeme Fairweather (SIAM J. Numer. Anal., 2002)

On a Linearized Backward Euler Method for the Equations of Motion of Oldroyd Fluids of Order One. - Amiya Kumar Pani; Jin Yun Yuan; Pedro D. Damázio (SIAM J. Numer. Anal., 2006)

On approximation theorems for controllability of non-linear parabolic problems. - Anil Kumar; Mohan C. Joshi; Amiya Kumar Pani (IMA J. Math. Control. Inf., 2007)

Discontinuous Galerkin Methods for Quasi-Linear Elliptic Problems of Nonmonotone Type. - Thirupathi Gudi; Amiya Kumar Pani (SIAM J. Numer. Anal., 2007)

Alternating Direction Implicit Orthogonal Spline Collocation Methods for an Evolution Equation with a Positive-Type Memory Term. - Amiya Kumar Pani; Graeme Fairweather; Ryan I. Fernandes (SIAM J. Numer. Anal., 2007)

Mixed Discontinuous Galerkin Finite Element Method for the Biharmonic Equation. - Thirupathi Gudi; Neela Nataraj; Amiya Kumar Pani (J. Sci. Comput., 2008)

An hp-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type. - Thirupathi Gudi; Neela Nataraj; Amiya Kumar Pani (Math. Comput., 2008)

hp-Discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems. - Thirupathi Gudi; Neela Nataraj; Amiya Kumar Pani (Numerische Mathematik, 2008)

A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems. - Debasish Pradhan; Baskar Shalini; Neela Nataraj; Amiya Kumar Pani (Adv. Comput. Math., 2011)

An hp-local Discontinuous Galerkin Method for Parabolic Integro-Differential Equations. - Amiya Kumar Pani; Sangita Yadav (J. Sci. Comput., 2011)

An A Posteriori Error Analysis of Mixed Finite Element Galerkin Approximations to Second Order Linear Parabolic Problems. - Sajid Memon; Neela Nataraj; Amiya Kumar Pani (SIAM J. Numer. Anal., 2012)

Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data. - Deepjyoti Goswami; Amiya Kumar Pani; Sangita Yadav (J. Sci. Comput., 2013)

Superconvergent Discontinuous Galerkin Methods for Linear Non-selfadjoint and Indefinite Elliptic Problems. - Sangita Yadav; Amiya Kumar Pani; Neela Nataraj (J. Sci. Comput., 2013)

Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations. - Sangita Yadav; Amiya Kumar Pani; Eun-Jae Park (Math. Comput., 2013)

On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model. - Saumya Bajpai; Neela Nataraj; Amiya Kumar Pani (Adv. Comput. Math., 2014)

Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data. - Samir Karaa; Amiya Kumar Pani (J. Comput. Appl. Math., 2015)

Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term. - Morrakot Khebchareon; Amiya Kumar Pani; Graeme Fairweather (J. Sci. Comput., 2015)

Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin-Voigt viscoelastic fluid flow model. - Ambit Kumar Pany; Saumya Bajpai; Amiya Kumar Pani (J. Comput. Appl. Math., 2016)

Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems. - Carsten Carstensen; Asha K. Dond; Neela Nataraj; Amiya Kumar Pani (Numerische Mathematik, 2016)

A Priori and A Posteriori Estimates of Conforming and Mixed FEM for a Kirchhoff Equation of Elliptic Type. - Asha K. Dond; Amiya Kumar Pani (Comput. Methods Appl. Math., 2017)

On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. - Saumya Bajpai; Amiya Kumar Pani (J. Num. Math., 2017)

Asymptotic behavior and finite element error estimates of Kelvin-Voigt viscoelastic fluid flow model. - Sudeep Kundu; Saumya Bajpai; Amiya Kumar Pani (Numer. Algorithms, 2017)

Finite element approximation to global stabilization of the Burgers' equation by Neumann boundary feedback control law. - Sudeep Kundu; Amiya Kumar Pani (Adv. Comput. Math., 2018)

Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems. - Nisha Sharma; Amiya Kumar Pani; Kapil K. Sharma (Adv. Comput. Math., 2018)

Superconvergence of a class of expanded discontinuous Galerkin methods for fully nonlinear elliptic problems in divergence form. - Sangita Yadav; Amiya Kumar Pani (J. Comput. Appl. Math., 2018)

Optimal Error Analysis of a FEM for Fractional Diffusion Problems by Energy Arguments. - Samir Karaa; Kassem Mustapha 001; Amiya Kumar Pani (J. Sci. Comput., 2018)

Three First-Order Finite Volume Element Methods for Stokes Equations under Minimal Regularity Assumptions. - Carsten Carstensen; Asha K. Dond; Neela Nataraj; Amiya Kumar Pani (SIAM J. Numer. Anal., 2018)

Global Stabilization of 2D Forced Viscous Burgers' Equation Around Nonconstant Steady State Solution by Nonlinear Neumann Boundary Feedback Control: Theory and Finite Element Analysis. - Sudeep Kundu; Amiya Kumar Pani (CoRR, 2019)

Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. - Sangita Yadav; Amiya Kumar Pani (J. Num. Math., 2019)

Global Stabilization of BBM-Burgers' Type Equations by Nonlinear Boundary Feedback Control Laws: Theory and Finite Element Error Analysis. - Sudeep Kundu; Amiya Kumar Pani (J. Sci. Comput., 2019)

A First-Order Explicit-Implicit Splitting Method for a Convection-Diffusion Problem. - Amiya Kumar Pani; Vidar Thomée; A. S. Vasudeva Murthy (Comput. Methods Appl. Math., 2020)

A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations. - Huangxin Chen; Amiya Kumar Pani; Weifeng Qiu (CoRR, 2020)

Morley Finite Element Method for the von Kármán Obstacle Problem. - Carsten Carstensen; Sharat Gaddam; Neela Nataraj; Amiya Kumar Pani; Devika Shylaja (CoRR, 2020)

Mixed FEM for Time-Fractional Diffusion Problems with Time-Dependent Coefficients. - Samir Karaa; Amiya Kumar Pani (J. Sci. Comput., 2020)

Global Stabilization of Two Dimensional Viscous Burgers' Equation by Nonlinear Neumann Boundary Feedback Control and Its Finite Element Analysis. - Sudeep Kundu; Amiya Kumar Pani (J. Sci. Comput., 2020)

Higher Order Time Stepping Methods for Subdiffusion Problems Based on Weighted and Shifted Grünwald-Letnikov Formulae with Nonsmooth Data. - Yanyong Wang; Yuyuan Yan; Yubin Yan; Amiya Kumar Pani (J. Sci. Comput., 2020)

A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation. - Nisha Sharma; Morrakot Khebchareon; Amiya Kumar Pani (Numer. Algorithms, 2020)

Morley FEM for the fourth-order nonlinear reaction-diffusion problems. - P. Danumjaya; Ambit Kumar Pany; Amiya Kumar Pani (Comput. Math. Appl., 2021)

Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems. - Ambit Kumar Pany; Morrakot Khebchareon; Amiya Kumar Pani (Comput. Math. Appl., 2021)

Numerical analysis of a new formulation for the Oseen equations in terms of vorticity and Bernoulli pressure. - Verónica Anaya; David Mora; Amiya Kumar Pani; Ricardo Ruiz-Baier (CoRR, 2021)

Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data. - Bikram Bir; Deepjyoti Goswami; Amiya Kumar Pani (CoRR, 2021)

An H1-Galerkin mixed finite element method for identification of time dependent parameters in parabolic problems. - Morrakot Khebchareon; Ambit Kumar Pany; Amiya Kumar Pani (Appl. Math. Comput., 2022)

Approximate controllability of linear parabolic equation with memory. - Anil Kumar; Amiya Kumar Pani; Mohan C. Joshi (Comput. Math. Appl., 2022)

Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data. - Bikram Bir; Deepjyoti Goswami; Amiya Kumar Pani (Comput. Methods Appl. Math., 2022)

Optimal L2 error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data. - Bikram Bir; Deepjyoti Goswami; Amiya Kumar Pani (CoRR, 2022)

Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations. - Verónica Anaya; David Mora; Amiya Kumar Pani; Ricardo Ruiz-Baier (J. Num. Math., 2022)

Primal Hybrid Method For Quasilinear Parabolic Problems. - Ravina Shokeen; Ajit Patel; Amiya Kumar Pani (J. Sci. Comput., 2022)

Anisotropic a Posteriori Error Analysis for the Two-Step Backward Differentiation Formula for Parabolic Integro-Differential Equation. - N. Shravani; G. Murali Mohan Reddy; Amiya Kumar Pani (J. Sci. Comput., 2022)

A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. - Carsten Carstensen; Rekha Khot; Amiya Kumar Pani (Numerische Mathematik, 2022)

Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. - Carsten Carstensen; Neela Nataraj; Amiya Kumar Pani (Numerische Mathematik, 2022)

Optimal error analysis of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs. - Aditi Tomar; Lok Pati Tripathi; Amiya K. Pani (CoRR, 2023)

Asymptotic behaviour of the semidiscrete FE approximations to weakly damped wave equations with minimal smoothness on initial data. - P. Danumjaya; Anil Kumar; Amiya Kumar Pani (CoRR, 2023)

Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers' System. - Harsha Hutridurga; Krishan Kumar; Amiya Kumar Pani (J. Sci. Comput., 2023)

HDG method for linear parabolic integro-Differential equations. - Riya Jain; Amiya Kumar Pani; Sangita Yadav (Appl. Math. Comput., 2023)

Nonconforming Virtual Elements for the Biharmonic Equation with Morley Degrees of Freedom on Polygonal Meshes. - Carsten Carstensen; Rekha Khot; Amiya Kumar Pani (SIAM J. Numer. Anal., 2023)

Finite element approximation to the non-stationary quasi-geostrophic equation. - Dohyun Kim; Amiya K. Pani; Eun-Jae Park (CoRR, 2024)

On Two Conservative HDG Schemes for Nonlinear Klein-Gordon Equation. - Shipra Gupta; Amiya Kumar Pani; Sangita Yadav (CoRR, 2024)

On a Completely Discrete Discontinuous Galerkin Method for Incompressible Chemotaxis-Navier-Stokes Equations. - Bikram Bir; Harsha Hutridurga; Amiya K. Pani (CoRR, 2024)

Error Estimates for Discontinuous Galerkin Approximations to the Vlasov-Unsteady Stokes System. - Harsha Hutridurga; Krishan Kumar; Amiya K. Pani (CoRR, 2024)

Unconditionally Stable and Convergent Difference Scheme for Superdiffusion with Extrapolation. - Jinping Yang; Charles Wing Ho Green; Amiya Kumar Pani; Yubin Yan (J. Sci. Comput., 2024)

Optimal Error Estimates of the Penalty Finite Element Method for the Unsteady Navier-Stokes Equations with Nonsmooth Initial Data. - Bikram Bir; Deepjyoti Goswami; Amiya K. Pani (J. Sci. Comput., 2024)

An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation. - Morrakot Khebchareon; Amiya K. Pani; Graeme Fairweather; Ryan I. Fernandes (Numer. Algorithms, 2024)

Conservative primal hybrid finite element method for weakly damped Klein-Gordon equation. - Sanjib Kumar Acharya; Amiya K. Pani; Ajit Patel; Ravina Shokeen (Comput. Math. Appl., 2025)

Discontinuous Galerkin Methods for the Vlasov-Stokes System. - Harsha Hutridurga; Krishan Kumar; Amiya K. Pani (Comput. Methods Appl. Math., 2025)

On a non-uniform α-robust IMEX-L1 mixed FEM for time-fractional PIDEs. - Lok Pati Tripathi; Aditi Tomar; Amiya K. Pani (Adv. Comput. Math., 2025)