Edit Profile (opens in new tab) Pani, Amiya Kumar Co-Author Distance Author ID: pani.amiya-kumar Published as: Pani, Amiya K.; Pani, A. K.; Pani, Amiya Kumar; Pani, Amiya more...less External Links: ORCID Documents Indexed: 145 Publications since 1986, including 8 Additional arXiv Preprints 3 Contributions as Editor Reviewing Activity: 19 Reviews Co-Authors: 82 Co-Authors with 139 Joint Publications 1,305 Co-Co-Authors all top 5 Co-Authors 4 single-authored 21 Nataraj, Neela 9 Karaa, Samir 9 Sinha, Rajen Kumar 9 Yadav, Sangita 8 Fairweather, Graeme 8 Khebchareon, Morrakot 8 Kundu, Sudeep 7 Carstensen, Carsten 7 Das, Purna Chandra 7 Goswami, Deepjyoti 6 Chung, Sang Kwon 6 Pany, Ambit Kumar 5 Bajpai, Saumya 5 Danumjaya, Palla 5 Gudi, Thirupathi 5 Yuan, Jinyun 4 Anderssen, Robert Scott 4 Dond, Asha K. 4 Kumar, Anil 4 Sharma, Kapil Kumar 4 Yan, Yubin 3 Bir, Bikram 3 Damázio, Pedro D. 3 Hutridurga, Harsha 3 Joshi, Mohan Chandra 3 Kumar, Krishan 3 Patel, Ajit 3 Sengadir, T. 3 Sharma, Nisha Kumari 2 Anaya, Verónica 2 Doss, L. Jones Tarcius 2 Fernandes, Ryan I. 2 Green, Charles Wing Ho 2 Khot, Rekha 2 Kumar, Sarvesh 2 Manickam, S. Arul Veda 2 Mishra, Pankaj Kumar 2 Mohamed Ali, M. A. 2 Mora, David 2 Moudgalya, Kannan M. 2 Mustapha, Kassem 2 Nair, Pradeepa 2 Padhy, Sudarsan 2 Park, Eun-Jae 2 Pradhan, Debasish 2 Ruiz-Baier, Ricardo 2 Thomée, Vidar 2 Tripathi, Lok Pati 1 Acharya, Sanjib Kumar 1 Agrawal, Jyoti 1 Bahaguna, D. 1 Chen, Huangxin 1 D’Almeida, Filomena D. 1 Egwu, Bernard A. 1 Faiweather, Graeme 1 Gaddam, Sharat 1 Gupta, Nupur 1 Hill, James Murray 1 Jain, Riya 1 Kang, Wenyan 1 Kim, Dohyun 1 Kulkarni, Rekha P. 1 Kulkarni, Sudhir Hanmantrao 1 Kumbhar, Pratik M. 1 Manickam, A. V. 1 Mantri, Pritam S. 1 Memon, Sajid 1 Moudgalya, Kannan K. 1 Otta, Ajaya K. 1 Pai, Devidas V. 1 Paikray, Susanta Kumar 1 Park, Meekyong G. 1 Peterson, Todd E. 1 Ploymaklam, Nattapol 1 Qiu, Weifeng 1 Raghavendra, Venkataramanarao 1 Reddy, Gujji Murali Mohan 1 Saranga, Haritha 1 Shalini, Baskar 1 Shokeen, Ravina 1 Shravani, N. 1 Shylaja, Devika 1 Tomar, Aditi 1 Vasudeva Murthy, A. S. 1 Wahlbin, Lars B. 1 Wang, Yanyong 1 Yan, Yuyuan 1 Yang, Jinping 1 Yang, Yuhui all top 5 Serials 15 Journal of Scientific Computing 13 IMA Journal of Numerical Analysis 11 International Journal of Numerical Analysis and Modeling 10 Numerical Methods for Partial Differential Equations 9 SIAM Journal on Numerical Analysis 7 Numerical Functional Analysis and Optimization 6 Journal of Computational and Applied Mathematics 4 Computers & Mathematics with Applications 4 Numerische Mathematik 4 Journal of Integral Equations and Applications 4 Advances in Computational Mathematics 3 Applicable Analysis 3 Calcolo 3 Differential Equations and Dynamical Systems 3 Computational Methods in Applied Mathematics 3 Journal of Numerical Mathematics 2 Mathematics of Computation 2 Applied Mathematics and Computation 2 Journal of the Korean Mathematical Society 2 Applied Numerical Mathematics 2 Numerical Algorithms 2 Journal of Applied Mathematics and Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Nonlinear Analysis. Theory, Methods & Applications 2 Proceedings of the Centre for Mathematics and its Applications, Australian National University 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of the Australian Mathematical Society, Series B 1 International Journal of Mathematics and Mathematical Sciences 1 IMA Journal of Mathematical Control and Information 1 Journal of Applied Mathematics and Stochastic Analysis 1 The Journal of Analysis 1 Nonlinear Dynamics 1 The ANZIAM Journal 1 Communications in Computational Physics all top 5 Fields 136 Numerical analysis (65-XX) 92 Partial differential equations (35-XX) 25 Integral equations (45-XX) 21 Fluid mechanics (76-XX) 10 Classical thermodynamics, heat transfer (80-XX) 7 Systems theory; control (93-XX) 6 Real functions (26-XX) 5 Ordinary differential equations (34-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 General and overarching topics; collections (00-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of deformable solids (74-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 118 Publications have been cited 1,273 times in 741 Documents Cited by ▼ Year ▼ An \(H^1\)-Galerkin mixed finite element method for parabolic partial differential equations. Zbl 0915.65107 Pani, Amiya K. 59 1998 \(H^1\)-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101 Pani, Amiya K.; Fairweather, Graeme 55 2002 Numerical methods for the Rosenau equation. Zbl 1021.65048 Chung, Sang K.; Pani, Amiya K. 50 2001 Numerical methods for hyperbolic and parabolic integro-differential equations. Zbl 0764.65086 Pani, A. K.; Thomée, V.; Wahlbin, L. B. 46 1992 A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation. Zbl 0930.65111 Manickam, S. Arul Veda; Pani, Amiya K.; Chung, Sang K. 43 1998 Orthogonal cubic spline collocation method for the extended Fisher–Kolmogorov equation. Zbl 1067.65107 Danumjaya, P.; Pani, Amiya K. 42 2005 Mixed discontinuous Galerkin finite element method for the biharmonic equation. Zbl 1203.65254 Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K. 41 2008 Numerical methods for the extended Fisher-Kolmogorov (EFK) equation. Zbl 1111.65085 Danumjaya, Palla; Pani, Amiya Kumar 40 2006 Discontinuous Galerkin methods for quasi-linear elliptic problems of nonmonotone type. Zbl 1140.65082 Gudi, Thirupathi; Pani, Amiya K. 35 2007 ADI orthogonal spline collocation methods for parabolic partial integro-differential equations. Zbl 1191.65186 Pani, Amiya Kumar; Fairweather, Graeme; Fernandes, Ryan I. 34 2010 Alternating direction implicit orthogonal spline collocation methods for an evolution equation with a positive-type memory term. Zbl 1160.65068 Pani, Amiya Kumar; Fairweather, Graeme; Fernandes, Ryan I. 33 2008 Finite volume element method for two-dimensional fractional subdiffusion problems. Zbl 1433.65214 Karaa, Samir; Mustapha, Kassem; Pani, Amiya K. 30 2017 On a linearized backward Euler method for the equations of motion of Oldroyd fluids of order one. Zbl 1116.35095 Pani, Amiya K.; Yuan, Jin Yun; Damázio, Pedro D. 29 2006 Semidiscrete finite element Galerkin approximation to the equations of motion arising in the Oldroyd model. Zbl 1076.76047 Pani, Amiya K.; Yuan, Jin Yun 26 2005 Finite element methods with numerical quadrature for parabolic integrodifferential equations. Zbl 0858.65141 Pani, Amiya K.; Peterson, Todd E. 25 1996 Finite element Galerkin method for the ”good” Boussinesq equation. Zbl 0880.35097 Pani, Amiya K.; Saranga, Haritha 24 1997 An \(hp\)-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type. Zbl 1147.65093 Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K. 22 2008 Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation. Zbl 0907.65098 Manickam, A. V.; Moudgalya, K. M.; Pani, A. K. 22 1998 \(hp\)-discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems. Zbl 1146.65076 Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K. 21 2008 An \(H^1\)-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100 Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K. 20 2004 Finite volume element method for second order hyperbolic equations. Zbl 1134.65069 Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K. 19 2008 Mixed finite element methods for a fourth order reaction diffusion equation. Zbl 1253.65149 Danumjaya, P.; Pani, Amiya K. 18 2012 A priori error estimates for semidiscrete finite element approximation to equations of motion arising in Oldroyd fluids of order one. Zbl 1429.76070 Goswami, Deepjyoti; Pani, Amiya K. 18 2011 Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems. Zbl 1181.65140 Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K. 18 2009 Optimal error analysis of a FEM for fractional diffusion problems by energy arguments. Zbl 1398.65228 Karaa, Samir; Mustapha, Kassem; Pani, Amiya K. 17 2018 A priori error estimates for a single-phase quasilinear Stefan problem in one space dimension. Zbl 0727.65113 Pani, A. K.; Das, P. C. 15 1991 Semidiscrete Galerkin method for equations of motion arising in Kelvin-Voigt model of viscoelastic fluid flow. Zbl 1266.76028 Bajpai, Saumya; Nataraj, Neela; Pani, Amiya K.; Damazio, Pedro; Yuan, Jin Yun 15 2013 Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin-Voigt viscoelastic fluid flow model. Zbl 1381.76194 Pany, Ambit K.; Bajpai, Saumya; Pani, Amiya K. 14 2016 Mixed finite element method for a strongly damped wave equation. Zbl 0982.65105 Pani, Amiya K.; Yuan, Jin Yun 13 2001 Error estimates for semidiscrete Galerkin approximation to a time dependent parabolic integro-differential equation with nonsmooth data. Zbl 1012.65149 Pani, A. K.; Sinha, R. K. 13 2000 An \(hp\)-local discontinuous Galerkin method for parabolic integro-differential equations. Zbl 1227.65133 Pani, Amiya K.; Yadav, Sangita 12 2011 A finite element Galerkin method for a unidimensional single-phase nonlinear Stefan problem with Dirichlet boundary conditions. Zbl 0713.65085 Pani, A. K.; Das, P. C. 12 1991 Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations. Zbl 1276.65086 Yadav, Sangita; Pani, Amiya K.; Park, Eun-Jae 12 2013 Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data. Zbl 1404.65114 Karaa, Samir; Pani, Amiya K. 12 2018 A priori error estimates in \(H^ 1\) and \(H^ 2\) norms for Galerkin approximations to a single-phase nonlinear Stefan problem in one space dimension. Zbl 0686.65090 Das, P. C.; Pani, A. K. 11 1989 Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems. Zbl 1342.65214 Carstensen, Carsten; Dond, Asha K.; Nataraj, Neela; Pani, Amiya K. 11 2016 An H\(^{1}\)-Galerkin mixed finite element method for an evolution equation with a positive-type memory term. Zbl 1047.65085 Pani, Amiya K.; Fairweather, Graeme 11 2002 Comparison results and unified analysis for first-order finite volume element methods for a Poisson model problem. Zbl 1433.65254 Carstensen, Carsten; Nataraj, Neela; Pani, Amiya K. 11 2016 Alternating direction implicit Galerkin methods for an evolution equation with a positive-type memory term. Zbl 1328.65209 Khebchareon, Morrakot; Pani, Amiya K.; Fairweather, Graeme 10 2015 On Kirchhoff’s model of parabolic type. Zbl 1405.65123 Kundu, Sudeep; Pani, Amiya K.; Khebchareon, Morrakot 10 2016 On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model. Zbl 1426.76217 Bajpai, Saumya; Nataraj, Neela; Pani, Amiya K. 10 2014 Optimal error estimates of two mixed finite element methods for parabolic integro-differential equations with nonsmooth initial data. Zbl 1275.65093 Goswami, Deepjyoti; Pani, Amiya K.; Yadav, Sangita 10 2013 A finite element method for a single phase semilinear Stefan problem in one space dimension. Zbl 0757.65127 Pani, Amiya K.; Das, Purna C. 9 1991 A modified nonlinear spectral Galerkin method for the equations of motion arising in the Kelvin-Voigt fluids. Zbl 1356.76218 Pani, Amiya K.; Pany, Ambit K.; Damazio, Pedro; Yuan, Jin Yun 9 2014 An explicit/implicit Galerkin domain decomposition procedure for parabolic integro-differential equations. Zbl 1156.65108 Pradhan, Debasish; Nataraj, Neela; Pani, Amiya K. 9 2008 Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems. Zbl 1404.65181 Sharma, Nisha; Pani, Amiya K.; Sharma, Kapil K. 9 2018 On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308 Bajpai, Saumya; Pani, Amiya K. 8 2017 Superconvergence of a class of expanded discontinuous Galerkin methods for fully nonlinear elliptic problems in divergence form. Zbl 1380.65341 Yadav, Sangita; Pani, Amiya K. 8 2018 Three first-order finite volume element methods for Stokes equations under minimal regularity assumptions. Zbl 1412.65181 Carstensen, Carsten; Dond, Asha K.; Nataraj, Neela; Pani, Amiya K. 8 2018 A second order splitting lumped mass finite element method for the Rosenau equation. Zbl 1124.65092 Chung, Sang K.; Pani, Amiya K. 7 2004 The effect of spatial quadrature on finite element Galerkin approximations to hyperbolic integro-differential equations. Zbl 0940.65156 Sinha, R. K.; Pani, A. K. 7 1998 Mortar element methods for parabolic problems. Zbl 1156.65083 Patel, Ajit; Pani, Amiya K.; Nataraj, Neela 7 2008 Superconvergent discontinuous Galerkin methods for linear non-selfadjoint and indefinite elliptic problems. Zbl 1272.65085 Yadav, Sangita; Pani, Amiya K.; Nataraj, Neela 7 2013 An a posteriori error analysis of mixed finite element Galerkin approximations to second order linear parabolic problems. Zbl 1342.65195 Memon, Sajid; Nataraj, Neela; Pani, Amiya Kumar 6 2012 A qualocation method for parabolic partial differential equations. Zbl 0942.65117 Pani, Amiya K. 6 1999 A finite element method for a diffusion equation with constrained energy and nonlinear boundary conditions. Zbl 0797.65073 Pani, Amiya K. 6 1993 Stabilized Lagrange multiplier method for elliptic and parabolic interface problems. Zbl 1370.65055 Patel, Ajit; Acharya, Sanjib Kumar; Pani, Amiya Kumar 6 2017 Finite element Galerkin approximations to a class of nonlinear and nonlocal parabolic problems. Zbl 1342.65197 Sharma, Nisha; Khebchareon, Morrakot; Sharma, Kapil; Pani, Amiya K. 6 2016 A priori and a posteriori estimates of conforming and mixed FEM for a Kirchhoff equation of elliptic type. Zbl 1359.65237 Dond, Asha K.; Pani, Amiya K. 6 2017 On the backward Euler method for time dependent parabolic integrodifferential equations with nonsmooth initial data. Zbl 0928.65173 Pani, Amiya K.; Sinha, Rajen K. 5 1998 Quadrature based finite element approximations to time dependent parabolic equations with nonsmooth initial data. Zbl 0934.65106 Pani, Amiya Kumar; Sinha, Rajen Kumar 5 1998 Rothe’s method to semilinear hyperbolic integrodifferential equations. Zbl 0721.45007 Bahaguna, D.; Pani, A. K.; Raghavendra, V. 5 1990 Galerkin method for a Stefan-type problem in one space dimension. Zbl 0880.65077 Doss, L. Jones Tarcius; Pani, A. K.; Padhy, S. 5 1997 Asymptotic behavior and finite element error estimates of Kelvin-Voigt viscoelastic fluid flow model. Zbl 1393.76066 Kundu, Sudeep; Bajpai, Saumya; Pani, Amiya K. 5 2017 A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation. Zbl 1434.65274 Sharma, Nisha; Khebchareon, Morrakot; Pani, Amiya K. 5 2020 Asymptotic analysis and optimal error estimates for Benjamin-Bona-Mahony-Burgers’ type equations. Zbl 1407.65194 Kundu, Sudeep; Pani, Amiya K.; Khebchareon, Morrakot 5 2018 Higher order time stepping methods for subdiffusion problems based on weighted and shifted Grünwald-Letnikov formulae with nonsmooth data. Zbl 1447.65032 Wang, Yanyong; Yan, Yuyuan; Yan, Yubin; Pani, Amiya K. 5 2020 Finite element approximation to global stabilization of the Burgers’ equation by Neumann boundary feedback control law. Zbl 1448.65165 Kundu, Sudeep; Pani, Amiya Kumar 5 2018 On approximation theorems for controllability of nonlinear parabolic problems. Zbl 1137.93011 Kumar, Anil; Joshi, Mohan C.; Pani, Amiya K. 4 2007 A qualocation method for Burgers’ equation. Zbl 1133.65086 Mantri, Pritam S.; Nataraj, Neela; Pani, Amiya K. 4 2008 An alternate approach to optimal \(L ^{2}\)-error analysis of semidiscrete Galerkin methods for linear parabolic problems with nonsmooth initial data. Zbl 1243.65111 Goswami, Deepjyoti; Pani, Amiya K. 4 2011 On \(L^2\)-error estimate for nonsymmetric interior penalty Galerkin approximation to linear elliptic problems with nonhomogeneous Dirichlet data. Zbl 1167.65061 Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K. 4 2009 Higher order fully discrete scheme combined with \(H^1\)-Galerkin mixed finite element method for semilinear reaction-diffusion equations. Zbl 1053.65081 Manickam, S. Arul Veda; Moudgalya, Kannan K.; Pani, Amiya K. 4 2004 An \(H^ 1\)-Galerkin method for a Stefan problem with a quasilinear parabolic equation in nondivergence form. Zbl 0622.65125 Pani, A. K.; Das, P. C. 4 1987 Optimal \(L^2\) estimates for the semidiscrete Galerkin method applied to parabolic integro-differential equations with nonsmooth data. Zbl 1297.35058 Goswami, Deepjyoti; Pani, Amiya K.; Yadav, Sangita 4 2014 Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data. Zbl 1334.65156 Karaa, Samir; Pani, Amiya K. 4 2015 Backward Euler schemes for the Kelvin-Voigt viscoelastic fluid flow model. Zbl 1365.76126 Pany, Ambit K.; Paikray, Susanta K.; Padhy, Sudarsan; Pani, Amiya K. 4 2017 A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. Zbl 1496.65209 Carstensen, Carsten; Khot, Rekha; Pani, Amiya K. 4 2022 Morley finite element methods for the stationary quasi-geostrophic equation. Zbl 1506.76088 Kim, Dohyun; Pani, Amiya K.; Park, Eun-Jae 4 2021 A qualocation method for a semilinear second-order two-point boundary value problem. Zbl 0891.34020 Jones, L.; Pani, A. K. 3 1998 Finite element approximation with quadrature to a time dependent parabolic integro-differential equation with nonsmooth initial data. Zbl 0987.65135 Pani, Amiya K.; Sinha, Rajen K. 3 2001 A qualocation method for a unidimensional single phase semilinear Stefan problem. Zbl 1069.65102 Doss, L. Jones; Pani, Amiya K. 3 2005 A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system. Zbl 1401.65110 Ploymaklam, Nattapol; Kumbhar, Pratik M.; Pani, Amiya K. 3 2017 The effect of spatial quadrature on the semidiscrete finite element Galerkin method for a strongly damped wave equation. Zbl 1027.65133 Sinha, Rajen K.; Pani, Amiya K.; Chung, Sang K. 3 2003 Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. Zbl 1458.65130 Yadav, Sangita; Pani, Amiya K. 3 2019 Orthogonal spline collocation for singularly perturbed reaction diffusion problems in one dimension. Zbl 1427.65126 Mishra, Pankaj; Sharma, Kapil K.; Pani, Amiya K.; Faiweather, Graeme 3 2019 Convergence of an adaptive lowest-order Raviart-Thomas element method for general second-order linear elliptic problems. Zbl 1433.65286 Dond, Asha K.; Nataraj, Neela; Pani, Amiya Kumar 3 2017 A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations. Zbl 1486.65242 Chen, Huangxin; Pani, Amiya K.; Qiu, Weifeng 3 2022 Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data. Zbl 1502.65114 Bir, Bikram; Goswami, Deepjyoti; Pani, Amiya K. 3 2022 Morley FEM for the fourth-order nonlinear reaction-diffusion problems. Zbl 1524.65524 Danumjaya, P.; Pany, Ambit Kumar; Pani, Amiya K. 3 2021 A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems. Zbl 1220.65173 Pradhan, Debasish; Shalini, Baskar; Nataraj, Neela; Pani, Amiya K. 2 2011 On superconvergence results and negative norm estimates for a unidimensional single phase Stefan problem. Zbl 0834.65126 Jones, L.; Pani, A. K. 2 1995 On convergence of finite difference schemes for generalized solutions of Sobolev equations. Zbl 0841.65082 Chung, S. K.; Pani, A. K. 2 1995 An \(H^1\)-Galerkin mixed finite element method combined with the modified method of characteristics for incompressible miscible displacement problems in porous media. Zbl 1096.76516 Mohamed Ali, M. A.; Pani, Amiya Kumar 2 1998 An \(H^ 1\)-Galerkin method for quasilinear parabolic partial differential equations. Zbl 0608.65071 Pani, A. K.; Das, P. C. 2 1986 Finite element methods for identification of parameters in parabolic problems. Zbl 0795.35140 Pani, A. K.; Anderssen, R. S. 2 1992 Convergence analyses of Crank-Nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables. Zbl 1347.65147 Khebchareon, Morrakot; Pani, Amiya Kumar; Fairweather, Graeme 2 2016 Finite element methods for parabolic variational inequalities with a Volterra term. Zbl 1033.65050 Nair, Pradeepa; Pani, Amiya K. 2 2003 Global stabilization of BBM-Burgers’ type equations by nonlinear boundary feedback control laws: theory and finite element error analysis. Zbl 1428.35103 Kundu, Sudeep; Pani, Amiya Kumar 2 2019 A first-order explicit-implicit splitting method for a convection-diffusion problem. Zbl 1456.65076 Pani, Amiya K.; Thomée, Vidar; Vasudeva Murthy, A. S. 2 2020 Nonconforming virtual elements for the biharmonic equation with Morley degrees of freedom on polygonal meshes. Zbl 1528.65103 Carstensen, Carsten; Khot, Rekha; Pani, Amiya K. 1 2023 A priori and a posteriori error analysis of the lowest-order NCVEM for second-order linear indefinite elliptic problems. Zbl 1496.65209 Carstensen, Carsten; Khot, Rekha; Pani, Amiya K. 4 2022 A mixed finite element scheme for biharmonic equation with variable coefficient and von Kármán equations. Zbl 1486.65242 Chen, Huangxin; Pani, Amiya K.; Qiu, Weifeng 3 2022 Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data. Zbl 1502.65114 Bir, Bikram; Goswami, Deepjyoti; Pani, Amiya K. 3 2022 Stability of mixed FEMs for non-selfadjoint indefinite second-order linear elliptic PDEs. Zbl 1491.65128 Carstensen, C.; Nataraj, Neela; Pani, Amiya K. 2 2022 An \(H^1\)-Galerkin mixed finite element method for identification of time dependent parameters in parabolic problems. Zbl 1510.35399 Khebchareon, Morrakot; Pany, Ambit Kumar; Pani, Amiya K. 1 2022 Primal hybrid method for quasilinear parabolic problems. Zbl 1490.65209 Shokeen, Ravina; Patel, Ajit; Pani, Amiya K. 1 2022 Galerkin finite element approximation of a stochastic semilinear fractional subdiffusion with fractionally integrated additive noise. Zbl 1502.65127 Kang, Wenyan; Egwu, Bernard A.; Yan, Yubin; Pani, Amiya K. 1 2022 Morley finite element methods for the stationary quasi-geostrophic equation. Zbl 1506.76088 Kim, Dohyun; Pani, Amiya K.; Park, Eun-Jae 4 2021 Morley FEM for the fourth-order nonlinear reaction-diffusion problems. Zbl 1524.65524 Danumjaya, P.; Pany, Ambit Kumar; Pani, Amiya K. 3 2021 Morley finite element method for the von Kármán obstacle problem. Zbl 07420191 Carstensen, Carsten; Gaddam, Sharat; Nataraj, Neela; Pani, Amiya K.; Shylaja, Devika 1 2021 A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation. Zbl 1434.65274 Sharma, Nisha; Khebchareon, Morrakot; Pani, Amiya K. 5 2020 Higher order time stepping methods for subdiffusion problems based on weighted and shifted Grünwald-Letnikov formulae with nonsmooth data. Zbl 1447.65032 Wang, Yanyong; Yan, Yuyuan; Yan, Yubin; Pani, Amiya K. 5 2020 A first-order explicit-implicit splitting method for a convection-diffusion problem. Zbl 1456.65076 Pani, Amiya K.; Thomée, Vidar; Vasudeva Murthy, A. S. 2 2020 Global stabilization of two dimensional viscous Burgers’ equation by nonlinear Neumann boundary feedback control and its finite element analysis. Zbl 1447.35195 Kundu, Sudeep; Pani, Amiya Kumar 2 2020 Mixed FEM for time-fractional diffusion problems with time-dependent coefficients. Zbl 1442.65261 Karaa, Samir; Pani, Amiya K. 2 2020 High-order discrete-time orthogonal spline collocation methods for singularly perturbed 1D parabolic reaction-diffusion problems. Zbl 07771401 Mishra, Pankaj; Sharma, Kapil K.; Pani, Amiya K.; Fairweather, Graeme 1 2020 Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. Zbl 1458.65130 Yadav, Sangita; Pani, Amiya K. 3 2019 Orthogonal spline collocation for singularly perturbed reaction diffusion problems in one dimension. Zbl 1427.65126 Mishra, Pankaj; Sharma, Kapil K.; Pani, Amiya K.; Faiweather, Graeme 3 2019 Global stabilization of BBM-Burgers’ type equations by nonlinear boundary feedback control laws: theory and finite element error analysis. Zbl 1428.35103 Kundu, Sudeep; Pani, Amiya Kumar 2 2019 Stabilization of Kelvin-Voigt viscoelastic fluid flow model. Zbl 1421.35279 Kundu, Sudeep; Pani, Amiya K. 2 2019 Optimal error analysis of a FEM for fractional diffusion problems by energy arguments. Zbl 1398.65228 Karaa, Samir; Mustapha, Kassem; Pani, Amiya K. 17 2018 Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data. Zbl 1404.65114 Karaa, Samir; Pani, Amiya K. 12 2018 Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems. Zbl 1404.65181 Sharma, Nisha; Pani, Amiya K.; Sharma, Kapil K. 9 2018 Superconvergence of a class of expanded discontinuous Galerkin methods for fully nonlinear elliptic problems in divergence form. Zbl 1380.65341 Yadav, Sangita; Pani, Amiya K. 8 2018 Three first-order finite volume element methods for Stokes equations under minimal regularity assumptions. Zbl 1412.65181 Carstensen, Carsten; Dond, Asha K.; Nataraj, Neela; Pani, Amiya K. 8 2018 Asymptotic analysis and optimal error estimates for Benjamin-Bona-Mahony-Burgers’ type equations. Zbl 1407.65194 Kundu, Sudeep; Pani, Amiya K.; Khebchareon, Morrakot 5 2018 Finite element approximation to global stabilization of the Burgers’ equation by Neumann boundary feedback control law. Zbl 1448.65165 Kundu, Sudeep; Pani, Amiya Kumar 5 2018 Finite volume element method for two-dimensional fractional subdiffusion problems. Zbl 1433.65214 Karaa, Samir; Mustapha, Kassem; Pani, Amiya K. 30 2017 On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308 Bajpai, Saumya; Pani, Amiya K. 8 2017 Stabilized Lagrange multiplier method for elliptic and parabolic interface problems. Zbl 1370.65055 Patel, Ajit; Acharya, Sanjib Kumar; Pani, Amiya Kumar 6 2017 A priori and a posteriori estimates of conforming and mixed FEM for a Kirchhoff equation of elliptic type. Zbl 1359.65237 Dond, Asha K.; Pani, Amiya K. 6 2017 Asymptotic behavior and finite element error estimates of Kelvin-Voigt viscoelastic fluid flow model. Zbl 1393.76066 Kundu, Sudeep; Bajpai, Saumya; Pani, Amiya K. 5 2017 Backward Euler schemes for the Kelvin-Voigt viscoelastic fluid flow model. Zbl 1365.76126 Pany, Ambit K.; Paikray, Susanta K.; Padhy, Sudarsan; Pani, Amiya K. 4 2017 A priori error analysis of the local discontinuous Galerkin method for the viscous Burgers-Poisson system. Zbl 1401.65110 Ploymaklam, Nattapol; Kumbhar, Pratik M.; Pani, Amiya K. 3 2017 Convergence of an adaptive lowest-order Raviart-Thomas element method for general second-order linear elliptic problems. Zbl 1433.65286 Dond, Asha K.; Nataraj, Neela; Pani, Amiya Kumar 3 2017 Optimal error estimates for semidiscrete Galerkin approximations to equations of motion described by Kelvin-Voigt viscoelastic fluid flow model. Zbl 1381.76194 Pany, Ambit K.; Bajpai, Saumya; Pani, Amiya K. 14 2016 Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems. Zbl 1342.65214 Carstensen, Carsten; Dond, Asha K.; Nataraj, Neela; Pani, Amiya K. 11 2016 Comparison results and unified analysis for first-order finite volume element methods for a Poisson model problem. Zbl 1433.65254 Carstensen, Carsten; Nataraj, Neela; Pani, Amiya K. 11 2016 On Kirchhoff’s model of parabolic type. Zbl 1405.65123 Kundu, Sudeep; Pani, Amiya K.; Khebchareon, Morrakot 10 2016 Finite element Galerkin approximations to a class of nonlinear and nonlocal parabolic problems. Zbl 1342.65197 Sharma, Nisha; Khebchareon, Morrakot; Sharma, Kapil; Pani, Amiya K. 6 2016 Convergence analyses of Crank-Nicolson orthogonal spline collocation methods for linear parabolic problems in two space variables. Zbl 1347.65147 Khebchareon, Morrakot; Pani, Amiya Kumar; Fairweather, Graeme 2 2016 Alternating direction implicit Galerkin methods for an evolution equation with a positive-type memory term. Zbl 1328.65209 Khebchareon, Morrakot; Pani, Amiya K.; Fairweather, Graeme 10 2015 Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data. Zbl 1334.65156 Karaa, Samir; Pani, Amiya K. 4 2015 A priori \(hp\)-estimates for discontinuous Galerkin approximations to linear hyperbolic integro-differential equations. Zbl 1329.65224 Karaa, Samir; Pani, Amiya K.; Yadav, Sangita 1 2015 On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model. Zbl 1426.76217 Bajpai, Saumya; Nataraj, Neela; Pani, Amiya K. 10 2014 A modified nonlinear spectral Galerkin method for the equations of motion arising in the Kelvin-Voigt fluids. Zbl 1356.76218 Pani, Amiya K.; Pany, Ambit K.; Damazio, Pedro; Yuan, Jin Yun 9 2014 Optimal \(L^2\) estimates for the semidiscrete Galerkin method applied to parabolic integro-differential equations with nonsmooth data. Zbl 1297.35058 Goswami, Deepjyoti; Pani, Amiya K.; Yadav, Sangita 4 2014 Semidiscrete Galerkin method for equations of motion arising in Kelvin-Voigt model of viscoelastic fluid flow. Zbl 1266.76028 Bajpai, Saumya; Nataraj, Neela; Pani, Amiya K.; Damazio, Pedro; Yuan, Jin Yun 15 2013 Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations. Zbl 1276.65086 Yadav, Sangita; Pani, Amiya K.; Park, Eun-Jae 12 2013 Optimal error estimates of two mixed finite element methods for parabolic integro-differential equations with nonsmooth initial data. Zbl 1275.65093 Goswami, Deepjyoti; Pani, Amiya K.; Yadav, Sangita 10 2013 Superconvergent discontinuous Galerkin methods for linear non-selfadjoint and indefinite elliptic problems. Zbl 1272.65085 Yadav, Sangita; Pani, Amiya K.; Nataraj, Neela 7 2013 Mixed finite element methods for a fourth order reaction diffusion equation. Zbl 1253.65149 Danumjaya, P.; Pani, Amiya K. 18 2012 An a posteriori error analysis of mixed finite element Galerkin approximations to second order linear parabolic problems. Zbl 1342.65195 Memon, Sajid; Nataraj, Neela; Pani, Amiya Kumar 6 2012 A priori error estimates for semidiscrete finite element approximation to equations of motion arising in Oldroyd fluids of order one. Zbl 1429.76070 Goswami, Deepjyoti; Pani, Amiya K. 18 2011 An \(hp\)-local discontinuous Galerkin method for parabolic integro-differential equations. Zbl 1227.65133 Pani, Amiya K.; Yadav, Sangita 12 2011 An alternate approach to optimal \(L ^{2}\)-error analysis of semidiscrete Galerkin methods for linear parabolic problems with nonsmooth initial data. Zbl 1243.65111 Goswami, Deepjyoti; Pani, Amiya K. 4 2011 A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems. Zbl 1220.65173 Pradhan, Debasish; Shalini, Baskar; Nataraj, Neela; Pani, Amiya K. 2 2011 ADI orthogonal spline collocation methods for parabolic partial integro-differential equations. Zbl 1191.65186 Pani, Amiya Kumar; Fairweather, Graeme; Fernandes, Ryan I. 34 2010 On the optimal control problem of laser surface hardening. Zbl 1407.49062 Gupta, Nupur; Nataraj, Neela; Pani, Amiya 2 2010 Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems. Zbl 1181.65140 Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K. 18 2009 On \(L^2\)-error estimate for nonsymmetric interior penalty Galerkin approximation to linear elliptic problems with nonhomogeneous Dirichlet data. Zbl 1167.65061 Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K. 4 2009 Mixed discontinuous Galerkin finite element method for the biharmonic equation. Zbl 1203.65254 Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K. 41 2008 Alternating direction implicit orthogonal spline collocation methods for an evolution equation with a positive-type memory term. Zbl 1160.65068 Pani, Amiya Kumar; Fairweather, Graeme; Fernandes, Ryan I. 33 2008 An \(hp\)-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type. Zbl 1147.65093 Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K. 22 2008 \(hp\)-discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems. Zbl 1146.65076 Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K. 21 2008 Finite volume element method for second order hyperbolic equations. Zbl 1134.65069 Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K. 19 2008 An explicit/implicit Galerkin domain decomposition procedure for parabolic integro-differential equations. Zbl 1156.65108 Pradhan, Debasish; Nataraj, Neela; Pani, Amiya K. 9 2008 Mortar element methods for parabolic problems. Zbl 1156.65083 Patel, Ajit; Pani, Amiya K.; Nataraj, Neela 7 2008 A qualocation method for Burgers’ equation. Zbl 1133.65086 Mantri, Pritam S.; Nataraj, Neela; Pani, Amiya K. 4 2008 Discontinuous Galerkin methods for quasi-linear elliptic problems of nonmonotone type. Zbl 1140.65082 Gudi, Thirupathi; Pani, Amiya K. 35 2007 On approximation theorems for controllability of nonlinear parabolic problems. Zbl 1137.93011 Kumar, Anil; Joshi, Mohan C.; Pani, Amiya K. 4 2007 Numerical methods for the extended Fisher-Kolmogorov (EFK) equation. Zbl 1111.65085 Danumjaya, Palla; Pani, Amiya Kumar 40 2006 On a linearized backward Euler method for the equations of motion of Oldroyd fluids of order one. Zbl 1116.35095 Pani, Amiya K.; Yuan, Jin Yun; Damázio, Pedro D. 29 2006 Orthogonal cubic spline collocation method for the extended Fisher–Kolmogorov equation. Zbl 1067.65107 Danumjaya, P.; Pani, Amiya K. 42 2005 Semidiscrete finite element Galerkin approximation to the equations of motion arising in the Oldroyd model. Zbl 1076.76047 Pani, Amiya K.; Yuan, Jin Yun 26 2005 A qualocation method for a unidimensional single phase semilinear Stefan problem. Zbl 1069.65102 Doss, L. Jones; Pani, Amiya K. 3 2005 An \(H^1\)-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100 Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K. 20 2004 A second order splitting lumped mass finite element method for the Rosenau equation. Zbl 1124.65092 Chung, Sang K.; Pani, Amiya K. 7 2004 Higher order fully discrete scheme combined with \(H^1\)-Galerkin mixed finite element method for semilinear reaction-diffusion equations. Zbl 1053.65081 Manickam, S. Arul Veda; Moudgalya, Kannan K.; Pani, Amiya K. 4 2004 Sliding motion and stability of a class of discontinuous dynamical systems. Zbl 1080.70013 Agrawal, Jyoti; Moudgalya, Kannan M.; Pani, Amiya K. 1 2004 The effect of spatial quadrature on the semidiscrete finite element Galerkin method for a strongly damped wave equation. Zbl 1027.65133 Sinha, Rajen K.; Pani, Amiya K.; Chung, Sang K. 3 2003 Finite element methods for parabolic variational inequalities with a Volterra term. Zbl 1033.65050 Nair, Pradeepa; Pani, Amiya K. 2 2003 \(H^1\)-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101 Pani, Amiya K.; Fairweather, Graeme 55 2002 An H\(^{1}\)-Galerkin mixed finite element method for an evolution equation with a positive-type memory term. Zbl 1047.65085 Pani, Amiya K.; Fairweather, Graeme 11 2002 Numerical methods for the Rosenau equation. Zbl 1021.65048 Chung, Sang K.; Pani, Amiya K. 50 2001 Mixed finite element method for a strongly damped wave equation. Zbl 0982.65105 Pani, Amiya K.; Yuan, Jin Yun 13 2001 Finite element approximation with quadrature to a time dependent parabolic integro-differential equation with nonsmooth initial data. Zbl 0987.65135 Pani, Amiya K.; Sinha, Rajen K. 3 2001 Error estimates for semidiscrete Galerkin approximation to a time dependent parabolic integro-differential equation with nonsmooth data. Zbl 1012.65149 Pani, A. K.; Sinha, R. K. 13 2000 A qualocation method for parabolic partial differential equations. Zbl 0942.65117 Pani, Amiya K. 6 1999 An \(H^1\)-Galerkin mixed finite element method for parabolic partial differential equations. Zbl 0915.65107 Pani, Amiya K. 59 1998 A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation. Zbl 0930.65111 Manickam, S. Arul Veda; Pani, Amiya K.; Chung, Sang K. 43 1998 Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation. Zbl 0907.65098 Manickam, A. V.; Moudgalya, K. M.; Pani, A. K. 22 1998 The effect of spatial quadrature on finite element Galerkin approximations to hyperbolic integro-differential equations. Zbl 0940.65156 Sinha, R. K.; Pani, A. K. 7 1998 On the backward Euler method for time dependent parabolic integrodifferential equations with nonsmooth initial data. Zbl 0928.65173 Pani, Amiya K.; Sinha, Rajen K. 5 1998 Quadrature based finite element approximations to time dependent parabolic equations with nonsmooth initial data. Zbl 0934.65106 Pani, Amiya Kumar; Sinha, Rajen Kumar 5 1998 A qualocation method for a semilinear second-order two-point boundary value problem. Zbl 0891.34020 Jones, L.; Pani, A. K. 3 1998 An \(H^1\)-Galerkin mixed finite element method combined with the modified method of characteristics for incompressible miscible displacement problems in porous media. Zbl 1096.76516 Mohamed Ali, M. A.; Pani, Amiya Kumar 2 1998 Mixed finite element methods for compressible miscible displacement problems in reservoir studies. Zbl 0911.76038 Mohamed Ali, M. A.; Pani, A. K. 1 1998 Finite element Galerkin method for the ”good” Boussinesq equation. Zbl 0880.35097 Pani, Amiya K.; Saranga, Haritha 24 1997 ...and 18 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 912 Authors 62 Pani, Amiya Kumar 36 Xu, Da 30 Shi, Dongyang 24 Liu, Yang 23 Li, Hong 18 Nataraj, Neela 13 Gudi, Thirupathi 13 Qiao, Leijie 13 Qiu, Wenlin 12 Dehghan Takht Fooladi, Mehdi 12 Karaa, Samir 12 Omrani, Khaled 12 Wang, Jinfeng 11 Bi, Chunjia 11 He, Siriguleng 11 Sinha, Rajen Kumar 11 Zhang, Tong 10 Fang, Zhichao 10 Kumar, Sarvesh 10 Yadav, Sangita 9 Yang, Xuehua 9 Zhang, Haixiang 8 Avazzadeh, Zakieh 8 Bajpai, Saumya 8 Carstensen, Carsten 8 Hou, Tianliang 8 Lin, Yanping 8 Mustapha, Kassem 8 Nikan, Omid 8 Pany, Ambit Kumar 8 Park, Eun-Jae 8 Ruiz-Baier, Ricardo 8 Zhou, Zhaojie 7 Abbaszadeh, Mostafa 7 Goswami, Deepjyoti 7 Wang, Cheng 7 Yang, Huaijun 7 Yuan, Jinyun 7 Zhang, Luming 6 Baccouch, Mahboub 6 Chen, Huanzhen 6 Danumjaya, Palla 6 Fairweather, Graeme 6 Gao, Wei 6 He, Yinnian 6 Ohm, Mi-Ray 6 Wang, Junjun 5 Acharya, Sanjib Kumar 5 Adak, Dibyendu 5 Bradji, Abdallah 5 Chen, Hongbin 5 Ferreira, José Augusto 5 Hu, Jinsong 5 Huang, Xuehai 5 Jia, Xu 5 Khebchareon, Morrakot 5 Li, Rui 5 Majumder, Papri 5 McLean, William 5 Mohanty, Ranjan Kumar 5 Mora, David 5 Patel, Ajit 5 Sandilya, Ruchi 5 Sharma, Kapil Kumar 5 Sharma, Nisha Kumari 5 Si, Zhiyong 5 Zhao, Jie 5 Zhao, Yanmin 4 Al-Maskari, Mariam 4 Atouani, Noureddine 4 Chen, Chuanjun 4 Chen, Fengxin 4 Chen, Zhangxin 4 Deka, Bhupen 4 Dond, Asha K. 4 Doss, L. Jones Tarcius 4 Du, Yanwei 4 Gao, Fuzheng 4 Ginting, Victor 4 Hu, Bing 4 Huang, Jianguo 4 Kaur, Deepti 4 Kolkovska, Natalia T. 4 Kundu, Sudeep 4 Liao, Xin 4 Liu, Chunmei 4 Pan, Xintian 4 Shin, Dongwook 4 Shin, Jun Yong 4 Wang, Fenling 4 Wang, Junping 4 Wang, Kun 4 Xu, Youcai 4 Yan, Yubin 4 Yang, Min 4 Ye, Xiu 4 Zhang, Zhimin 3 Barbeiro, Sílvia 3 Bialecki, Bernard 3 Bir, Bikram ...and 812 more Authors all top 5 Cited in 138 Serials 67 Computers & Mathematics with Applications 60 Journal of Scientific Computing 44 Applied Mathematics and Computation 43 Numerical Methods for Partial Differential Equations 41 Applied Numerical Mathematics 39 Journal of Computational and Applied Mathematics 18 Numerical Algorithms 18 Journal of Applied Mathematics and Computing 16 Computer Methods in Applied Mechanics and Engineering 16 International Journal of Computer Mathematics 14 Advances in Computational Mathematics 13 Applicable Analysis 12 SIAM Journal on Numerical Analysis 11 Journal of Computational Physics 11 Mathematics of Computation 11 Applied Mathematics Letters 11 Computational and Applied Mathematics 10 International Journal of Numerical Analysis and Modeling 10 Advances in Applied Mathematics and Mechanics 9 Journal of Mathematical Analysis and Applications 9 Communications in Nonlinear Science and Numerical Simulation 9 Computational Methods in Applied Mathematics 9 Advances in Difference Equations 8 Numerical Functional Analysis and Optimization 7 Mathematics and Computers in Simulation 7 Numerische Mathematik 7 Journal of Integral Equations and Applications 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Mathematical Methods in the Applied Sciences 6 Applied Mathematical Modelling 6 Abstract and Applied Analysis 6 Boundary Value Problems 5 Chaos, Solitons and Fractals 5 Discrete and Continuous Dynamical Systems. 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Neuvième Série 1 Journal of Mathematical Sciences (New York) ...and 38 more Serials all top 5 Cited in 31 Fields 673 Numerical analysis (65-XX) 470 Partial differential equations (35-XX) 111 Fluid mechanics (76-XX) 97 Integral equations (45-XX) 39 Real functions (26-XX) 39 Mechanics of deformable solids (74-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 18 Classical thermodynamics, heat transfer (80-XX) 13 Systems theory; control (93-XX) 12 Potential theory (31-XX) 11 Operator theory (47-XX) 10 Ordinary differential equations (34-XX) 10 Optics, electromagnetic theory (78-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Probability theory and stochastic processes (60-XX) 7 Integral transforms, operational calculus (44-XX) 5 Approximations and expansions (41-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 3 Special functions (33-XX) 3 Computer science (68-XX) 3 Geophysics (86-XX) 2 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year