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## Pani, Amiya Kumar

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 Author ID: pani.amiya-kumar Published as: Pani, Amiya K.; Pani, A. K.; Pani, Amiya Kumar; Pani, Amiya External Links: ORCID
 Documents Indexed: 122 Publications since 1986, including 3 Books Reviewing Activity: 19 Reviews
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#### Co-Authors

 4 single-authored 20 Nataraj, Neela 8 Yadav, Sangita 7 Fairweather, Graeme 7 Karaa, Samir 7 Khebchareon, Morrakot 7 Kundu, Sudeep 7 Sinha, Rajen Kumar 5 Bajpai, Saumya 5 Gudi, Thirupathi 5 Pany, Ambit Kumar 5 Yuan, Jinyun 4 Anderssen, Robert Scott 4 Carstensen, Carsten 4 Danumjaya, Palla 4 Dond, Asha K. 4 Goswami, Deepjyoti 3 Damázio, Pedro D. 3 Sengadir, T. 3 Sharma, Kapil Kumar 3 Sharma, Nisha Kumari 2 Chung, Sang Kwon 2 Doss, L. Jones Tarcius 2 Fernandes, Ryan I. 2 Kumar, Sarvesh 2 Manickam, S. Arul Veda 2 Mohamed Ali, M. A. 2 Moudgalya, Kannan M. 2 Mustapha, Kassem 2 Nair, Pradeepa 2 Park, Eun-Jae 2 Patel, Ajit 2 Pradhan, Debasish 2 Thomée, Vidar 1 Acharya, Sanjib Kumar 1 Agrawal, Jyoti 1 Bahaguna, D. 1 Bhattacharjee, G. P. 1 D’Almeida, Filomena D. 1 Faiweather, Graeme 1 Gaddam, Sharat 1 Gupta, Nupur 1 Hill, James Murray 1 Joshi, Mohan Chandra 1 Kim, Dohyun 1 Kulkarni, Rekha P. 1 Kulkarni, S. H. 1 Kumar, Anil 1 Kumbhar, Pratik M. 1 Manickam, A. V. 1 Mantri, Pritam S. 1 Memon, Sajid 1 Mishra, Pankaj Kumar 1 Moudgalya, Kannan K. 1 Otta, Ajaya K. 1 Padhy, Sudarsan 1 Pai, Devidas V. 1 Paikray, Susanta Kumar 1 Park, Meekyong G. 1 Peterson, Todd E. 1 Ploymaklam, Nattapol 1 Raghavendra, Venkataramanarao 1 Saranga, Haritha 1 Shalini, Baskar 1 Shylaja, Devika 1 Tripathi, Lok Pati 1 Vasudeva Murthy, A. S. 1 Wahlbin, Lars B. 1 Wang, Yanyong 1 Yan, Yubin 1 Yan, Yuyuan
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#### Serials

 11 IMA Journal of Numerical Analysis 10 Journal of Scientific Computing 10 International Journal of Numerical Analysis and Modeling 9 Numerical Methods for Partial Differential Equations 8 SIAM Journal on Numerical Analysis 7 Numerical Functional Analysis and Optimization 6 Journal of Computational and Applied Mathematics 4 Journal of Integral Equations and Applications 4 Advances in Computational Mathematics 3 Applicable Analysis 3 Computers & Mathematics with Applications 3 Differential Equations and Dynamical Systems 2 Mathematics of Computation 2 Calcolo 2 Journal of the Korean Mathematical Society 2 Numerische Mathematik 2 Applied Numerical Mathematics 2 Numerical Algorithms 2 Computational Methods in Applied Mathematics 2 Journal of Numerical Mathematics 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 Mathematical and Computer Modelling 1 Journal of Applied Mathematics and Stochastic Analysis 1 The Journal of Analysis 1 Nonlinear Dynamics 1 The ANZIAM Journal
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#### Fields

 111 Numerical analysis (65-XX) 72 Partial differential equations (35-XX) 21 Integral equations (45-XX) 17 Fluid mechanics (76-XX) 10 Classical thermodynamics, heat transfer (80-XX) 5 Ordinary differential equations (34-XX) 5 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

104 Publications have been cited 919 times in 525 Documents Cited by Year
An $$H^1$$-Galerkin mixed finite element method for parabolic partial differential equations. Zbl 0915.65107
Pani, Amiya K.
1998
$$H^1$$-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101
Pani, Amiya K.; Fairweather, Graeme
2002
Numerical methods for hyperbolic and parabolic integro-differential equations. Zbl 0764.65086
Pani, A. K.; Thomée, V.; Wahlbin, L. B.
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.
1998
Numerical methods for the Rosenau equation. Zbl 1021.65048
Chung, Sang K.; Pani, Amiya K.
2001
Mixed discontinuous Galerkin finite element method for the biharmonic equation. Zbl 1203.65254
Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K.
2008
Discontinuous Galerkin methods for quasi-linear elliptic problems of nonmonotone type. Zbl 1140.65082
Gudi, Thirupathi; Pani, Amiya K.
2007
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.
2008
ADI orthogonal spline collocation methods for parabolic partial integro-differential equations. Zbl 1191.65186
Pani, Amiya Kumar; Fairweather, Graeme; Fernandes, Ryan I.
2010
Orthogonal cubic spline collocation method for the extended Fisher–Kolmogorov equation. Zbl 1067.65107
Danumjaya, P.; Pani, Amiya K.
2005
Finite element methods with numerical quadrature for parabolic integrodifferential equations. Zbl 0858.65141
Pani, Amiya K.; Peterson, Todd E.
1996
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.
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
2005
Finite element Galerkin method for the ”good” Boussinesq equation. Zbl 0880.35097
Pani, Amiya K.; Saranga, Haritha
1997
Numerical methods for the extended Fisher-Kolmogorov (EFK) equation. Zbl 1111.65085
Danumjaya, Palla; Pani, Amiya Kumar
2006
Finite volume element method for two-dimensional fractional subdiffusion problems. Zbl 1433.65214
Karaa, Samir; Mustapha, Kassem; Pani, Amiya K.
2017
An $$H^1$$-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100
Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K.
2004
Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems. Zbl 1181.65140
Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K.
2009
Finite volume element method for second order hyperbolic equations. Zbl 1134.65069
Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K.
2008
$$hp$$-discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems. Zbl 1146.65076
Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K.
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.
1998
Optimal error analysis of a FEM for fractional diffusion problems by energy arguments. Zbl 1398.65228
Karaa, Samir; Mustapha, Kassem; Pani, Amiya K.
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.
1991
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.
2011
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
2013
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.
1991
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.
2000
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.
2008
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.
1989
Mixed finite element methods for a fourth order reaction diffusion equation. Zbl 1253.65149
Danumjaya, P.; Pani, Amiya K.
2012
An $$hp$$-local discontinuous Galerkin method for parabolic integro-differential equations. Zbl 1227.65133
2011
Mixed finite element method for a strongly damped wave equation. Zbl 0982.65105
Pani, Amiya K.; Yuan, Jin Yun
2001
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.
2016
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
2013
Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data. Zbl 1404.65114
Karaa, Samir; Pani, Amiya K.
2018
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.
2016
An explicit/implicit Galerkin domain decomposition procedure for parabolic integro-differential equations. Zbl 1156.65108
Pradhan, Debasish; Nataraj, Neela; Pani, Amiya K.
2008
Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations. Zbl 1276.65086
Yadav, Sangita; Pani, Amiya K.; Park, Eun-Jae
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.
1991
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
2002
On Kirchhoff’s model of parabolic type. Zbl 1405.65123
Kundu, Sudeep; Pani, Amiya K.; Khebchareon, Morrakot
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.
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
2014
A second order splitting lumped mass finite element method for the Rosenau equation. Zbl 1124.65092
Chung, Sang K.; Pani, Amiya K.
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.
1998
Mortar element methods for parabolic problems. Zbl 1156.65083
Patel, Ajit; Pani, Amiya K.; Nataraj, Neela
2008
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.
2016
Superconvergent discontinuous Galerkin methods for linear non-selfadjoint and indefinite elliptic problems. Zbl 1272.65085
Yadav, Sangita; Pani, Amiya K.; Nataraj, Neela
2013
Rothe’s method to semilinear hyperbolic integrodifferential equations. Zbl 0721.45007
Bahaguna, D.; Pani, A. K.; Raghavendra, V.
1990
Quadrature based finite element approximations to time dependent parabolic equations with nonsmooth initial data. Zbl 0934.65106
Pani, Amiya Kumar; Sinhar, Rajen Kumar
1998
A finite element method for a diffusion equation with constrained energy and nonlinear boundary conditions. Zbl 0797.65073
Pani, Amiya K.
1993
Galerkin method for a Stefan-type problem in one space dimension. Zbl 0880.65077
Doss, L. Jones Tarcius; Pani, A. K.; Padhy, S.
1997
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
2012
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.
2011
A qualocation method for parabolic partial differential equations. Zbl 0942.65117
Pani, Amiya K.
1999
Finite element approximation to global stabilization of the Burgers’ equation by Neumann boundary feedback control law. Zbl 1448.65165
Kundu, Sudeep; Pani, Amiya Kumar
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.
2018
Stabilized Lagrange multiplier method for elliptic and parabolic interface problems. Zbl 1370.65055
Patel, Ajit; Acharya, Sanjib Kumar; Pani, Amiya Kumar
2017
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.
2004
On the backward Euler method for time dependent parabolic integrodifferential equations with nonsmooth initial data. Zbl 0928.65173
Pani, Amiya K.; Sinha, Rajen K.
1998
A qualocation method for a unidimensional single phase semilinear Stefan problem. Zbl 1069.65102
Doss, L. Jones; Pani, Amiya K.
2005
A qualocation method for a semilinear second-order two-point boundary value problem. Zbl 0891.34020
Jones, L.; Pani, A. K.
1998
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.
2003
Superconvergence of a class of expanded discontinuous Galerkin methods for fully nonlinear elliptic problems in divergence form. Zbl 1380.65341
2018
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
2017
On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308
Bajpai, Saumya; Pani, Amiya K.
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.
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.
2017
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.
1987
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.
2015
A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation. Zbl 1434.65274
Sharma, Nisha; Khebchareon, Morrakot; Pani, Amiya K.
2020
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.
2017
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
2015
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.
2020
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.
2009
On the optimal control problem of laser surface hardening. Zbl 1407.49062
Gupta, Nupur; Nataraj, Neela; Pani, Amiya
2010
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.
2001
Temporal representation and reasoning in artificial intelligence: A review. Zbl 0990.68109
Pani, A. K.; Bhattacharjee, G. P.
2001
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
1998
A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems. Zbl 1220.65173
2011
On superconvergence results and negative norm estimates for a unidimensional single phase Stefan problem. Zbl 0834.65126
Jones, L.; Pani, A. K.
1995
Finite element methods for parabolic variational inequalities with a Volterra term. Zbl 1033.65050
2003
Asymptotic analysis and optimal error estimates for Benjamin-Bona-Mahony-Burgers’ type equations. Zbl 1407.65194
Kundu, Sudeep; Pani, Amiya K.; Khebchareon, Morrakot
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.
2018
A qualocation method for Burgers’ equation. Zbl 1133.65086
Mantri, Pritam S.; Nataraj, Neela; Pani, Amiya K.
2008
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.
2016
Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. Zbl 1458.65130
2019
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
2014
Finite element approximation of a single phase quasilinear Stefan problem. Zbl 0717.65108
Das, P. C.; Pani, A. K.
1990
Sliding motion and stability of a class of discontinuous dynamical systems. Zbl 1080.70013
Agrawal, Jyoti; Moudgalya, Kannan M.; Pani, Amiya K.
2004
On approximation theorems for controllability of nonlinear parabolic problems. Zbl 1137.93011
Kumar, Anil; Joshi, Mohan C.; Pani, Amiya K.
2007
On convergence of finite difference schemes for generalized solutions of Sobolev equations. Zbl 0841.65082
Chung, S. K.; Pani, A. K.
1995
On superconvergence results and negative norm estimates for parabolic integro-differential equations. Zbl 0859.65143
Pani, Amiya K.; Sinha, Rajen K.
1996
Finite element methods for identification of parameters in parabolic problems. Zbl 0795.35140
Pani, A. K.; Anderssen, R. S.
1992
A priori error estimates for finite element Galerkin approximations to a free boundary problem in polymer technology. Zbl 0784.65092
Pani, A. K.; Anderssen, R. S.
1992
Topological transversality: Applications to differential equations. Zbl 0817.45007
1994
A Leray-Schauder type theorem and applications to boundary value problems for neutral equations. Zbl 0879.34074
Sengadir, T.; Pai, D. V.; Pani, A. K.
1997
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.
2017
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
2016
An $$H^ 1$$-Galerkin method for quasilinear parabolic partial differential equations. Zbl 0608.65071
Pani, A. K.; Das, P. C.
1986
A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation. Zbl 1434.65274
Sharma, Nisha; Khebchareon, Morrakot; Pani, Amiya K.
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.
2020
Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems. Zbl 1458.65130
2019
Stabilization of Kelvin-Voigt viscoelastic fluid flow model. Zbl 1421.35279
Kundu, Sudeep; Pani, Amiya K.
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
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
2019
Optimal error analysis of a FEM for fractional diffusion problems by energy arguments. Zbl 1398.65228
Karaa, Samir; Mustapha, Kassem; Pani, Amiya K.
2018
Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data. Zbl 1404.65114
Karaa, Samir; Pani, Amiya K.
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
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.
2018
Superconvergence of a class of expanded discontinuous Galerkin methods for fully nonlinear elliptic problems in divergence form. Zbl 1380.65341
2018
Asymptotic analysis and optimal error estimates for Benjamin-Bona-Mahony-Burgers’ type equations. Zbl 1407.65194
Kundu, Sudeep; Pani, Amiya K.; Khebchareon, Morrakot
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.
2018
Finite volume element method for two-dimensional fractional subdiffusion problems. Zbl 1433.65214
Karaa, Samir; Mustapha, Kassem; Pani, Amiya K.
2017
Stabilized Lagrange multiplier method for elliptic and parabolic interface problems. Zbl 1370.65055
Patel, Ajit; Acharya, Sanjib Kumar; Pani, Amiya Kumar
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
2017
On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. Zbl 1453.65308
Bajpai, Saumya; Pani, Amiya K.
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.
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.
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.
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.
2017
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.
2016
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.
2016
On Kirchhoff’s model of parabolic type. Zbl 1405.65123
Kundu, Sudeep; Pani, Amiya K.; Khebchareon, Morrakot
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.
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.
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
2016
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.
2015
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
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
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.
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
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
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
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
2013
Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations. Zbl 1276.65086
Yadav, Sangita; Pani, Amiya K.; Park, Eun-Jae
2013
Superconvergent discontinuous Galerkin methods for linear non-selfadjoint and indefinite elliptic problems. Zbl 1272.65085
Yadav, Sangita; Pani, Amiya K.; Nataraj, Neela
2013
Mixed finite element methods for a fourth order reaction diffusion equation. Zbl 1253.65149
Danumjaya, P.; Pani, Amiya K.
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
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.
2011
An $$hp$$-local discontinuous Galerkin method for parabolic integro-differential equations. Zbl 1227.65133
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.
2011
A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems. Zbl 1220.65173
2011
ADI orthogonal spline collocation methods for parabolic partial integro-differential equations. Zbl 1191.65186
Pani, Amiya Kumar; Fairweather, Graeme; Fernandes, Ryan I.
2010
On the optimal control problem of laser surface hardening. Zbl 1407.49062
Gupta, Nupur; Nataraj, Neela; Pani, Amiya
2010
Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems. Zbl 1181.65140
Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K.
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.
2009
Mixed discontinuous Galerkin finite element method for the biharmonic equation. Zbl 1203.65254
Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K.
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.
2008
Finite volume element method for second order hyperbolic equations. Zbl 1134.65069
Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K.
2008
$$hp$$-discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems. Zbl 1146.65076
Gudi, Thirupathi; Nataraj, Neela; Pani, Amiya K.
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.
2008
An explicit/implicit Galerkin domain decomposition procedure for parabolic integro-differential equations. Zbl 1156.65108
Pradhan, Debasish; Nataraj, Neela; Pani, Amiya K.
2008
Mortar element methods for parabolic problems. Zbl 1156.65083
Patel, Ajit; Pani, Amiya K.; Nataraj, Neela
2008
A qualocation method for Burgers’ equation. Zbl 1133.65086
Mantri, Pritam S.; Nataraj, Neela; Pani, Amiya K.
2008
Discontinuous Galerkin methods for quasi-linear elliptic problems of nonmonotone type. Zbl 1140.65082
Gudi, Thirupathi; Pani, Amiya K.
2007
On approximation theorems for controllability of nonlinear parabolic problems. Zbl 1137.93011
Kumar, Anil; Joshi, Mohan C.; Pani, Amiya K.
2007
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.
2006
Numerical methods for the extended Fisher-Kolmogorov (EFK) equation. Zbl 1111.65085
Danumjaya, Palla; Pani, Amiya Kumar
2006
Orthogonal cubic spline collocation method for the extended Fisher–Kolmogorov equation. Zbl 1067.65107
Danumjaya, P.; Pani, Amiya K.
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
2005
A qualocation method for a unidimensional single phase semilinear Stefan problem. Zbl 1069.65102
Doss, L. Jones; Pani, Amiya K.
2005
An $$H^1$$-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100
Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K.
2004
A second order splitting lumped mass finite element method for the Rosenau equation. Zbl 1124.65092
Chung, Sang K.; Pani, Amiya K.
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.
2004
Sliding motion and stability of a class of discontinuous dynamical systems. Zbl 1080.70013
Agrawal, Jyoti; Moudgalya, Kannan M.; Pani, Amiya K.
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.
2003
Finite element methods for parabolic variational inequalities with a Volterra term. Zbl 1033.65050
2003
$$H^1$$-Galerkin mixed finite element methods for parabolic partial integro-differential equations. Zbl 1008.65101
Pani, Amiya K.; Fairweather, Graeme
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
2002
Numerical methods for the Rosenau equation. Zbl 1021.65048
Chung, Sang K.; Pani, Amiya K.
2001
Mixed finite element method for a strongly damped wave equation. Zbl 0982.65105
Pani, Amiya K.; Yuan, Jin Yun
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.
2001
Temporal representation and reasoning in artificial intelligence: A review. Zbl 0990.68109
Pani, A. K.; Bhattacharjee, G. P.
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.
2000
A qualocation method for parabolic partial differential equations. Zbl 0942.65117
Pani, Amiya K.
1999
An $$H^1$$-Galerkin mixed finite element method for parabolic partial differential equations. Zbl 0915.65107
Pani, Amiya K.
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.
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.
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.
1998
Quadrature based finite element approximations to time dependent parabolic equations with nonsmooth initial data. Zbl 0934.65106
Pani, Amiya Kumar; Sinhar, Rajen Kumar
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.
1998
A qualocation method for a semilinear second-order two-point boundary value problem. Zbl 0891.34020
Jones, L.; Pani, A. K.
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
1998
Finite element Galerkin method for the ”good” Boussinesq equation. Zbl 0880.35097
Pani, Amiya K.; Saranga, Haritha
1997
Galerkin method for a Stefan-type problem in one space dimension. Zbl 0880.65077
Doss, L. Jones Tarcius; Pani, A. K.; Padhy, S.
1997
A Leray-Schauder type theorem and applications to boundary value problems for neutral equations. Zbl 0879.34074
Sengadir, T.; Pai, D. V.; Pani, A. K.
1997
Finite element methods with numerical quadrature for parabolic integrodifferential equations. Zbl 0858.65141
Pani, Amiya K.; Peterson, Todd E.
1996
On superconvergence results and negative norm estimates for parabolic integro-differential equations. Zbl 0859.65143
Pani, Amiya K.; Sinha, Rajen K.
1996
On superconvergence results and negative norm estimates for a unidimensional single phase Stefan problem. Zbl 0834.65126
Jones, L.; Pani, A. K.
1995
On convergence of finite difference schemes for generalized solutions of Sobolev equations. Zbl 0841.65082
Chung, S. K.; Pani, A. K.
1995
Topological transversality: Applications to differential equations. Zbl 0817.45007
1994
A finite element method for a diffusion equation with constrained energy and nonlinear boundary conditions. Zbl 0797.65073
Pani, Amiya K.
1993
Numerical methods for hyperbolic and parabolic integro-differential equations. Zbl 0764.65086
Pani, A. K.; Thomée, V.; Wahlbin, L. B.
1992
Finite element methods for identification of parameters in parabolic problems. Zbl 0795.35140
Pani, A. K.; Anderssen, R. S.
1992
A priori error estimates for finite element Galerkin approximations to a free boundary problem in polymer technology. Zbl 0784.65092
Pani, A. K.; Anderssen, R. S.
1992
A priori error estimates for a single-phase quasilinear Stefan problem in one space dimension. Zbl 0727.65113
Pani, A. K.; Das, P. C.
1991
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.
1991
A finite element method for a single phase semilinear Stefan problem in one space dimension. Zbl 0757.65127
Pani, Amiya K.; Das, Purna C.
1991
Rothe’s method to semilinear hyperbolic integrodifferential equations. Zbl 0721.45007
Bahaguna, D.; Pani, A. K.; Raghavendra, V.
1990
...and 4 more Documents
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#### Cited by 626 Authors

 46 Pani, Amiya Kumar 28 Xu, Da 22 Shi, Dongyang 20 Li, Hong 19 Liu, Yang 14 Nataraj, Neela 11 Bi, Chunjia 11 Gudi, Thirupathi 10 He, Siriguleng 10 Kumar, Sarvesh 10 Omrani, Khaled 10 Sinha, Rajen Kumar 10 Wang, Jinfeng 9 Dehghan Takht Fooladi, Mehdi 9 Karaa, Samir 9 Yadav, Sangita 8 Lin, Yanping 8 Mustapha, Kassem 7 Fang, Zhichao 7 Ruiz-Baier, Ricardo 7 Yang, Xuehua 7 Zhang, Haixiang 6 Gao, Wei 6 Hu, Jinsong 6 Pany, Ambit Kumar 6 Wang, Cheng 6 Zhou, Zhaojie 5 Abbaszadeh, Mostafa 5 Bajpai, Saumya 5 Chen, Huanzhen 5 Danumjaya, Palla 5 Fairweather, Graeme 5 Ferreira, José Augusto 5 He, Yinnian 5 Hou, Tianliang 5 Huang, Xuehai 5 McLean, William 5 Ohm, Mi-Ray 5 Park, Eun-Jae 5 Qiao, Leijie 5 Sandilya, Ruchi 5 Sharma, Nisha Kumari 5 Shin, Jun Yong 5 Wang, Junjun 5 Yuan, Jinyun 5 Zhang, Luming 4 Acharya, Sanjib Kumar 4 Atouani, Noureddine 4 Bradji, Abdallah 4 Carstensen, Carsten 4 Chen, Chuanjun 4 Chen, Zhangxin 4 Du, Yanwei 4 Gao, Fuzheng 4 Ginting, Victor 4 He, Dongdong 4 Hu, Bing 4 Huang, Jianguo 4 Khebchareon, Morrakot 4 Kundu, Sudeep 4 Majumder, Papri 4 Mohanty, Ranjan Kumar 4 Patel, Ajit 4 Qiu, Wenlin 4 Sharma, Kapil Kumar 4 Si, Zhiyong 4 Wang, Junping 4 Wang, Kun 4 Xu, Youcai 4 Yang, Huaijun 4 Yang, Min 4 Ye, Xiu 3 Barbeiro, Sílvia 3 Bratsos, Athanassios G. 3 Chen, Fengxin 3 Chen, Hongbin 3 Chen, Yanping 3 Deka, Bhupen 3 Dond, Asha K. 3 Doss, L. Jones Tarcius 3 Eymard, Robert 3 Gan, Xiaoting 3 Gao, Yali 3 Goswami, Deepjyoti 3 Guo, Jing 3 Herbin, Raphaèle 3 Huang, Yunqing 3 Jia, Xu 3 Kadri, Tlili 3 Kaur, Deepti 3 Khiari, Noomen 3 Kolkovska, Natalia T. 3 Larsson, Stig 3 Liao, Xin 3 Liu, Fawang 3 Luo, Xianbing 3 Luo, Zhendong 3 Masyagin, Viktor Fedorovich 3 Mu, Lin 3 Pan, Xintian ...and 526 more Authors
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#### Cited in 112 Serials

 50 Computers & Mathematics with Applications 45 Journal of Scientific Computing 35 Applied Mathematics and Computation 32 Numerical Methods for Partial Differential Equations 29 Journal of Computational and Applied Mathematics 27 Applied Numerical Mathematics 17 Journal of Applied Mathematics and Computing 13 Computer Methods in Applied Mechanics and Engineering 12 Numerical Algorithms 12 Advances in Computational Mathematics 11 Applicable Analysis 11 Mathematics of Computation 9 Journal of Mathematical Analysis and Applications 9 SIAM Journal on Numerical Analysis 8 Journal of Computational Physics 8 Numerical Functional Analysis and Optimization 7 Applied Mathematics Letters 7 International Journal of Computer Mathematics 7 Advances in Applied Mathematics and Mechanics 6 Journal of Integral Equations and Applications 6 Applied Mathematical Modelling 6 Computational and Applied Mathematics 6 Abstract and Applied Analysis 5 Mathematical Methods in the Applied Sciences 5 Advances in Difference Equations 4 Numerische Mathematik 4 Mathematical Problems in Engineering 4 Nonlinear Dynamics 4 Communications in Nonlinear Science and Numerical Simulation 4 Computational Methods in Applied Mathematics 4 Boundary Value Problems 3 Chaos, Solitons and Fractals 3 Mathematics and Computers in Simulation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Acta Mathematicae Applicatae Sinica. English Series 3 Applications of Mathematics 3 Engineering Analysis with Boundary Elements 3 Discrete and Continuous Dynamical Systems. Series B 3 Advances in Mathematical Physics 3 Results in Applied Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 SIAM Journal on Scientific Computing 2 Applied Mathematics. Series B (English Edition) 2 Numerical Linear Algebra with Applications 2 Journal of Difference Equations and Applications 2 Discrete Dynamics in Nature and Society 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Applied Mathematics 2 Journal of Numerical Mathematics 2 International Journal of Computational Methods 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 2 Science China. Mathematics 2 Journal of Mathematical Modeling 1 Computer Physics Communications 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Transport Theory and Statistical Physics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Applied Mathematics and Optimization 1 Calcolo 1 Computing 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Journal of the Korean Mathematical Society 1 Meccanica 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 SIAM Journal on Control and Optimization 1 Optimal Control Applications & Methods 1 Applied Mathematics and Mechanics. (English Edition) 1 Stochastic Analysis and Applications 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 The Journal of Analysis 1 Journal of Mathematical Sciences (New York) 1 Filomat 1 Complexity 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Discrete and Continuous Dynamical Systems 1 Journal of Vibration and Control 1 Fractional Calculus & Applied Analysis 1 Acta Mathematica Sinica. English Series 1 Engineering Computations 1 Lobachevskii Journal of Mathematics 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Thai Journal of Mathematics 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Mediterranean Journal of Mathematics 1 International Journal of Numerical Analysis and Modeling 1 Frontiers of Mathematics in China 1 Discrete and Continuous Dynamical Systems. Series S ...and 12 more Serials
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#### Cited in 30 Fields

 474 Numerical analysis (65-XX) 311 Partial differential equations (35-XX) 74 Fluid mechanics (76-XX) 71 Integral equations (45-XX) 32 Mechanics of deformable solids (74-XX) 21 Real functions (26-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Classical thermodynamics, heat transfer (80-XX) 10 Systems theory; control (93-XX) 7 Ordinary differential equations (34-XX) 7 Optics, electromagnetic theory (78-XX) 5 Probability theory and stochastic processes (60-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operator theory (47-XX) 4 Biology and other natural sciences (92-XX) 3 Potential theory (31-XX) 3 Computer science (68-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)