Works by Pani, Amiya K.

Results: 44

High-order schemes based on extrapolation for semilinear fractional differential equation.

Published in:

Calcolo, 2024, v. 61, n. 1, p. 1, doi. 10.1007/s10092-023-00553-1

By:

Yang, Yuhui;
Green, Charles Wing Ho;
Pani, Amiya K.;
Yan, Yubin

Publication type:

Article

On Kirchhoff's Model of Parabolic Type.

Published in:

Numerical Functional Analysis & Optimization, 2016, v. 37, n. 6, p. 719, doi. 10.1080/01630563.2016.1176930

By:

Kundu, Sudeep;
Pani, Amiya K.;
Khebchareon, Morrakot

Publication type:

Article

The Effect of Spatial Quadrature on the Semidiscrete Finite Element Galerkin Method for a Strongly Damped Wave Equation.

Published in:

Numerical Functional Analysis & Optimization, 2003, v. 24, n. 3/4, p. 311, doi. 10.1081/NFA-120022925

By:

Sinha, Rajen K.;
Pani, Amiya K.;
Chung, Sang K.

Publication type:

Article

Finite Element Methods for Parabolic Variational Inequalities with a Volterra Term.

Published in:

Numerical Functional Analysis & Optimization, 2003, v. 24, n. 1/2, p. 107, doi. 10.1081/NFA-120020249

By:

Nair, Pradeepa;
Pani, Amiya K.

Publication type:

Article

A finite element method for a single phase semilinear stefan problem in one space dimension.

Published in:

Numerical Functional Analysis & Optimization, 1991, v. 12, n. 1/2, p. 153, doi. 10.1080/01630569108816422

By:

Pani, Amiya K.;
Das, Purna C.

Publication type:

Article

Stabilization of Kelvin–Voigt viscoelastic fluid flow model.

Published in:

Applicable Analysis, 2019, v. 98, n. 12, p. 2284, doi. 10.1080/00036811.2018.1460810

By:

Kundu, Sudeep;
Pani, Amiya K.

Publication type:

Article

A modified nonlinear spectral Galerkin method for the equations of motion arising in the Kelvin–Voigt fluids.

Published in:

Applicable Analysis, 2014, v. 93, n. 8, p. 1587, doi. 10.1080/00036811.2013.841143

By:

Pani, Amiya K.;
Pany, Ambit K.;
Damazio, Pedro;
Yuan, Jin Yun

Publication type:

Article

Numerical methods for the rosenau equation.

Published in:

Applicable Analysis, 2001, v. 77, n. 3/4, p. 351, doi. 10.1080/00036810108840914

By:

Chunk, Sank K.;
Pani, Amiya K.

Publication type:

Article

On a non-uniform α-robust IMEX-L1 mixed FEM for time-fractional PIDEs: On a non-uniform α-robust IMEX-L1 Mixed FEM for time-fractional...: L. P. Tripathi et al.

Published in:

Advances in Computational Mathematics, 2025, v. 51, n. 1, p. 1, doi. 10.1007/s10444-025-10221-3

By:

Tripathi, Lok Pati;
Tomar, Aditi;
Pani, Amiya K.

Publication type:

Article

Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems.

Published in:

Advances in Computational Mathematics, 2018, v. 44, n. 5, p. 1537, doi. 10.1007/s10444-018-9596-6

By:

Sharma, Nisha;
Pani, Amiya K.;
Sharma, Kapil K.

Publication type:

Article

Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data.

Published in:

IMA Journal of Numerical Analysis, 2022, v. 42, n. 4, p. 3529, doi. 10.1093/imanum/drab072

By:

Bir, Bikram;
Goswami, Deepjyoti;
Pani, Amiya K

Publication type:

Article

Galerkin finite element approximation of a stochastic semilinear fractional subdiffusion with fractionally integrated additive noise.

Published in:

IMA Journal of Numerical Analysis, 2022, v. 42, n. 3, p. 2301, doi. 10.1093/imanum/drab035

By:

Kang, Wenyan;
Egwu, Bernard A;
Yan, Yubin;
Pani, Amiya K

Publication type:

Article

Finite volume element method for two-dimensional fractional subdiffusion problems.

Published in:

IMA Journal of Numerical Analysis, 2017, v. 37, n. 2, p. 945, doi. 10.1093/imanum/drw010

By:

KARAA, SAMIR;
MUSTAPHA, KASSEM;
PANI, AMIYA K.

Publication type:

Article

Comparison results and unified analysis for first-order finite volume element methods for a Poisson model problem.

Published in:

IMA Journal of Numerical Analysis, 2016, v. 36, n. 3, p. 1120, doi. 10.1093/imanum/drv050

By:

CARSTENSEN, CARSTEN;
NATARAJ, NEELA;
PANI, AMIYA K.

Publication type:

Article

Semidiscrete finite element Galerkin approximations to the equations of motion arising in the Oldroyd model.

Published in:

IMA Journal of Numerical Analysis, 2005, v. 25, n. 4, p. 750, doi. 10.1093/imanum/dri016

By:

Pani, Amiya K.;
Yuan, Jin Yun

Publication type:

Article

A qualocation method for a unidimensional single phase semilinear Stefan problem.

Published in:

IMA Journal of Numerical Analysis, 2005, v. 25, n. 1, p. 139, doi. 10.1093/imanum/drh010

By:

DOSS, L. JONES;
PANI, AMIYA K.

Publication type:

Article

H1‐Galerkin mixed finite element methods for parabolic partial integro‐differential equations.

Published in:

IMA Journal of Numerical Analysis, 2002, v. 22, n. 2, p. 231, doi. 10.1093/imanum/22.2.231

By:

Pani, Amiya K.;
Fairweather, Graeme

Publication type:

Article

A qualocation method for parabolic partial differential equations.

Published in:

IMA Journal of Numerical Analysis, 1999, v. 19, n. 3, doi. 10.1093/imanum/19.3.473

By:

Pani, AK;
Pani, Amiya K.

Publication type:

Article

Morley finite element method for the von Kármán obstacle problem.

Published in:

ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN), 2021, v. 55, n. 5, p. 1873, doi. 10.1051/m2an/2021042

By:

Carstensen, Carsten;
Gaddam, Sharat;
Nataraj, Neela;
Pani, Amiya K.;
Shylaja, Devika

Publication type:

Article

Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations.

Published in:

Journal of Numerical Mathematics, 2022, v. 30, n. 3, p. 209, doi. 10.1515/jnma-2021-0053

By:

Anaya, Verónica;
Mora, David;
Pani, Amiya K.;
Ruiz-Baier, Ricardo

Publication type:

Article

Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems.

Published in:

Journal of Numerical Mathematics, 2019, v. 27, n. 3, p. 183, doi. 10.1515/jnma-2018-0035

By:

Yadav, Sangita;
Pani, Amiya K.

Publication type:

Article

On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations.

Published in:

Journal of Numerical Mathematics, 2017, v. 25, n. 4, p. 199, doi. 10.1515/jnma-2016-1055

By:

Bajpai, Saumya;
Pani, Amiya K.

Publication type:

Article

ORTHOGONAL SPLINE COLLOCATION FOR SINGULARLY PERTURBED REACTION DIFFUSION PROBLEMS IN ONE DIMENSION.

Published in:

International Journal of Numerical Analysis & Modeling, 2019, v. 16, n. 4, p. 647

By:

MISHRA, PANKAJ;
SHARMA, KAPIL K.;
PANI, AMIYA K.;
FAIRWEATHER, GRAEME

Publication type:

Article

A PRIORI ERROR ANALYSIS OF THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR THE VISCOUS BURGERS-POISSON SYSTEM.

Published in:

International Journal of Numerical Analysis & Modeling, 2017, v. 14, n. 4-5, p. 784

By:

PLOYMAKLAM, NATTAPOL;
KUMBHAR, PRATIK M.;
PANI, AMIYA K.

Publication type:

Article

A POSTERIORI ERROR ESTIMATES FOR MIXED FINITE ELEMENT GALERKIN APPROXIMATIONS TO SECOND ORDER LINEAR HYPERBOLIC EQUATIONS.

Published in:

International Journal of Numerical Analysis & Modeling, 2017, v. 14, n. 4-5, p. 571

By:

KARAA, SAMIR;
PANI, AMIYA K.

Publication type:

Article

BACKWARD EULER SCHEMES FOR THE KELVIN-VOIGT VISCOELASTIC FLUID FLOW MODEL.

Published in:

International Journal of Numerical Analysis & Modeling, 2017, v. 14, n. 1, p. 126

By:

PANY, AMBIT K.;
PAIKRAY, SUSANTA K.;
PADHY, SUDARSHAN;
PANI, AMIYA K.

Publication type:

Article

A PRIORI ERROR ESTIMATES FOR FINITE VOLUME ELEMENT APPROXIMATIONS TO SECOND ORDER LINEAR HYPERBOLIC INTEGRO-DIFFERENTIAL EQUATIONS.

Published in:

International Journal of Numerical Analysis & Modeling, 2015, v. 12, n. 3, p. 401

By:

KARAA, SAMIR;
PANI, AMIYA K.

Publication type:

Article

ON FULLY DISCRETE FINITE ELEMENT SCHEMES FOR EQUATIONS OF MOTION OF KELVIN-VOIGT FLUIDS.

Published in:

International Journal of Numerical Analysis & Modeling, 2013, v. 10, n. 2, p. 481

By:

BAJPAI, SAUMYA;
NATARAJ, NEELA;
PANI, AMIYA K.

Publication type:

Article

A PRIORI ERROR ESTIMATES FOR SEMIDISCRETE FINITE ELEMENT APPROXIMATIONS TO EQUATIONS OF MOTION ARISING IN OLDROYD FLUIDS OF ORDER ONE.

Published in:

International Journal of Numerical Analysis & Modeling, 2011, v. 8, n. 2, p. 324

By:

Goswami, Deepjyoti;
Pani, AMIYA K.

Publication type:

Article

ON THE OPTIMAL CONTROL PROBLEM OF LASER SURFACE HARDENING.

Published in:

International Journal of Numerical Analysis & Modeling, 2010, v. 7, n. 4, p. 667

By:

Gupta, Nupur;
Nataraj, Neela;
Pani, Amiya K.

Publication type:

Article

High‐order discrete‐time orthogonal spline collocation methods for singularly perturbed 1D parabolic reaction–diffusion problems.

Published in:

Numerical Methods for Partial Differential Equations, 2020, v. 36, n. 3, p. 495, doi. 10.1002/num.22438

By:

Mishra, Pankaj;
Sharma, Kapil K.;
Pani, Amiya K.;
Fairweather, Graeme

Publication type:

Article

Asymptotic Analysis and Optimal Error estimates for Benjamin‐Bona‐Mahony‐Burgers' Type Equations.

Published in:

Numerical Methods for Partial Differential Equations, 2018, v. 34, n. 3, p. 1053, doi. 10.1002/num.22246

By:

Kundu, Sudeep;
Pani, Amiya K.;
Khebchareon, Morrakot

Publication type:

Article

Finite element Galerkin approximations to a class of nonlinear and nonlocal parabolic problems.

Published in:

Numerical Methods for Partial Differential Equations, 2016, v. 32, n. 4, p. 1232, doi. 10.1002/num.22048

By:

Sharma, Nisha;
Khebchareon, Morrakot;
Sharma, Kapil;
Pani, Amiya K.

Publication type:

Article

Semidiscrete Galerkin method for equations of motion arising in Kelvin-Voigt model of viscoelastic fluid flow.

Published in:

Numerical Methods for Partial Differential Equations, 2013, v. 29, n. 3, p. 857, doi. 10.1002/num.21735

By:

Bajpai, Saumya;
Nataraj, Neela;
Pani, Amiya K.;
Damazio, Pedro;
Yuan, Jin Yun

Publication type:

Article

Mixed finite element methods for a fourth order reaction diffusion equation.

Published in:

Numerical Methods for Partial Differential Equations, 2012, v. 28, n. 4, p. 1227, doi. 10.1002/num.20679

By:

Danumjaya, P.;
Pani, Amiya K.

Publication type:

Article

Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems.

Published in:

Numerical Methods for Partial Differential Equations, 2009, v. 25, n. 6, p. 1402, doi. 10.1002/num.20405

By:

Kumar, Sarvesh;
Nataraj, Neela;
Pani, Amiya K.

Publication type:

Article

Mortar element methods for parabolic problems.

Published in:

Numerical Methods for Partial Differential Equations, 2008, v. 24, n. 6, p. 1460, doi. 10.1002/num.20327

By:

Patel, Ajit;
Pani, Amiya K.;
Nataraj, Neela

Publication type:

Article

Mixed finite element method for a strongly damped wave equation.

Published in:

Numerical Methods for Partial Differential Equations, 2001, v. 17, n. 2, p. 105, doi. 10.1002/1098-2426(200103)17:2<105::AID-NUM2>3.0.CO;2-F

By:

Pani, Amiya K.;
Yuan, Jin Yun

Publication type:

Article

A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation.

Published in:

Numerical Methods for Partial Differential Equations, 1998, v. 14, n. 6, p. 695, doi. 10.1002/(SICI)1098-2426(199811)14:6<695::AID-NUM1>3.0.CO;2-L

By:

Manickam, S. Arul Veda;
Pani, Amiya K.;
Chung, Sang K.

Publication type:

Article

On approximation theorems for controllability of non-linear parabolic problems.

Published in:

IMA Journal of Mathematical Control & Information, 2007, v. 24, n. 1, p. 115, doi. 10.1093/imamci/dnl012

By:

KUMAR, ANIL;
JOSHI, MOHAN C.;
PANI, AMIYA K.

Publication type:

Article

OPTIMAL $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}L^2$ ESTIMATES FOR THE ...

Published in:

ANZIAM Journal, 2014, v. 55, n. 3, p. 245, doi. 10.1017/S1446181114000030

By:

GOSWAMI, DEEPJYOTI;
PANI, AMIYA K.;
YADAV, SANGITA

Publication type:

Article

Discontinuous Galerkin Methods for the Vlasov–Stokes System.

Published in:

Computational Methods in Applied Mathematics, 2025, v. 25, n. 1, p. 93, doi. 10.1515/cmam-2023-0243

By:

Hutridurga, Harsha;
Kumar, Krishan;
Pani, Amiya K.

Publication type:

Article

Finite Element Penalty Method for the Oldroyd Model of Order One with Non-smooth Initial Data.

Published in:

Computational Methods in Applied Mathematics, 2022, v. 22, n. 2, p. 297, doi. 10.1515/cmam-2022-0012

By:

Bir, Bikram;
Goswami, Deepjyoti;
Pani, Amiya K.

Publication type:

Article

A Priori and A Posteriori Estimates of Conforming and Mixed FEM for a Kirchhoff Equation of Elliptic Type.

Published in:

Computational Methods in Applied Mathematics, 2017, v. 17, n. 2, p. 217, doi. 10.1515/cmam-2016-0041

By:

Dond, Asha K.;
Pani, Amiya K.

Publication type:

Article