Pani, Amiya K.; Thomée, Vidar; Vasudeva Murthy, A. S. A first-order explicit-implicit splitting method for a convection-diffusion problem. (English) Zbl 1456.65076 Comput. Methods Appl. Math. 20, No. 4, 769-782 (2020). Reviewer: Qifeng Zhang (Hangzhou) MSC: 65M06 65M15 35K10 PDF BibTeX XML Cite \textit{A. K. Pani} et al., Comput. Methods Appl. Math. 20, No. 4, 769--782 (2020; Zbl 1456.65076) Full Text: DOI OpenURL
Sharma, Nisha; Pani, Amiya K.; Sharma, Kapil K. Expanded mixed FEM with lowest order RT elements for nonlinear and nonlocal parabolic problems. (English) Zbl 1404.65181 Adv. Comput. Math. 44, No. 5, 1537-1571 (2018). MSC: 65M60 35K55 45K05 65M06 PDF BibTeX XML Cite \textit{N. Sharma} et al., Adv. Comput. Math. 44, No. 5, 1537--1571 (2018; Zbl 1404.65181) Full Text: DOI OpenURL
Karaa, Samir; Pani, Amiya K. Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data. (English) Zbl 1404.65114 ESAIM, Math. Model. Numer. Anal. 52, No. 2, 773-801 (2018). MSC: 65M08 65M60 65M12 65M15 65M06 35R11 26A33 65D32 44A10 PDF BibTeX XML Cite \textit{S. Karaa} and \textit{A. K. Pani}, ESAIM, Math. Model. Numer. Anal. 52, No. 2, 773--801 (2018; Zbl 1404.65114) Full Text: DOI arXiv OpenURL
Bajpai, Saumya; Pani, Amiya K. On three steps two-grid finite element methods for the 2D-transient Navier-Stokes equations. (English) Zbl 1453.65308 J. Numer. Math. 25, No. 4, 199-228 (2017). MSC: 65M60 65M12 65M15 76D05 76M10 PDF BibTeX XML Cite \textit{S. Bajpai} and \textit{A. K. Pani}, J. Numer. Math. 25, No. 4, 199--228 (2017; Zbl 1453.65308) Full Text: DOI arXiv OpenURL
Pany, Ambit K.; Paikray, Susanta K.; Padhy, Sudarsan; Pani, Amiya K. Backward Euler schemes for the Kelvin-Voigt viscoelastic fluid flow model. (English) Zbl 1365.76126 Int. J. Numer. Anal. Model. 14, No. 1, 126-151 (2017). MSC: 76M10 76A10 65M60 65M12 65M15 35Q31 PDF BibTeX XML Cite \textit{A. K. Pany} et al., Int. J. Numer. Anal. Model. 14, No. 1, 126--151 (2017; Zbl 1365.76126) Full Text: Link OpenURL
Danumjaya, P.; Pani, Amiya K. Mixed finite element methods for a fourth order reaction diffusion equation. (English) Zbl 1253.65149 Numer. Methods Partial Differ. Equations 28, No. 4, 1227-1251 (2012). Reviewer: Horst Lange (Freiburg) MSC: 65M60 65M06 35K57 65M15 PDF BibTeX XML Cite \textit{P. Danumjaya} and \textit{A. K. Pani}, Numer. Methods Partial Differ. Equations 28, No. 4, 1227--1251 (2012; Zbl 1253.65149) Full Text: DOI OpenURL
Pani, Amiya Kumar; Fairweather, Graeme; Fernandes, Ryan I. ADI orthogonal spline collocation methods for parabolic partial integro-differential equations. (English) Zbl 1191.65186 IMA J. Numer. Anal. 30, No. 1, 248-276 (2010). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45K05 PDF BibTeX XML Cite \textit{A. K. Pani} et al., IMA J. Numer. Anal. 30, No. 1, 248--276 (2010; Zbl 1191.65186) Full Text: DOI OpenURL
Pani, Amiya Kumar; Fairweather, Graeme; Fernandes, Ryan I. Alternating direction implicit orthogonal spline collocation methods for an evolution equation with a positive-type memory term. (English) Zbl 1160.65068 SIAM J. Numer. Anal. 46, No. 1, 344-364 (2008). MSC: 65R20 45K05 PDF BibTeX XML Cite \textit{A. K. Pani} et al., SIAM J. Numer. Anal. 46, No. 1, 344--364 (2008; Zbl 1160.65068) Full Text: DOI OpenURL
Patel, Ajit; Pani, Amiya K.; Nataraj, Neela Mortar element methods for parabolic problems. (English) Zbl 1156.65083 Numer. Methods Partial Differ. Equations 24, No. 6, 1460-1484 (2008). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M20 65M60 35K15 65M12 65M15 PDF BibTeX XML Cite \textit{A. Patel} et al., Numer. Methods Partial Differ. Equations 24, No. 6, 1460--1484 (2008; Zbl 1156.65083) Full Text: DOI OpenURL
Pani, Amiya K.; Fairweather, Graeme An H\(^{1}\)-Galerkin mixed finite element method for an evolution equation with a positive-type memory term. (English) Zbl 1047.65085 SIAM J. Numer. Anal. 40, No. 4, 1475-1490 (2002). Reviewer: Ziwen Jiang (Shandong) MSC: 65M60 65M12 65M15 35K15 65M20 PDF BibTeX XML Cite \textit{A. K. Pani} and \textit{G. Fairweather}, SIAM J. Numer. Anal. 40, No. 4, 1475--1490 (2002; Zbl 1047.65085) Full Text: DOI OpenURL
Chung, Sang K.; Pani, Amiya K. Numerical methods for the Rosenau equation. (English) Zbl 1021.65048 Appl. Anal. 77, No. 3-4, 351-369 (2001). MSC: 65M20 65M15 65M12 65M60 35Q53 PDF BibTeX XML Cite \textit{S. K. Chung} and \textit{A. K. Pani}, Appl. Anal. 77, No. 3--4, 351--369 (2001; Zbl 1021.65048) Full Text: DOI OpenURL
Pani, Amiya K. A qualocation method for parabolic partial differential equations. (English) Zbl 0942.65117 IMA J. Numer. Anal. 19, No. 3, 473-495 (1999). Reviewer: E.Emmrich (Berlin) MSC: 65M70 65M15 65M12 35K55 PDF BibTeX XML Cite \textit{A. K. Pani}, IMA J. Numer. Anal. 19, No. 3, 473--495 (1999; Zbl 0942.65117) Full Text: DOI OpenURL
Pani, Amiya Kumar; Sinhar, Rajen Kumar Quadrature based finite element approximations to time dependent parabolic equations with nonsmooth initial data. (English) Zbl 0934.65106 Calcolo 35, No. 4, 225-248 (1998). Reviewer: Batmanathan D.Reddy (Rondebosch) MSC: 65M60 35K55 65M20 65M12 65M15 PDF BibTeX XML Cite \textit{A. K. Pani} and \textit{R. K. Sinhar}, Calcolo 35, No. 4, 225--248 (1998; Zbl 0934.65106) Full Text: DOI OpenURL
Pani, Amiya K.; Sinha, Rajen K. On the backward Euler method for time dependent parabolic integrodifferential equations with nonsmooth initial data. (English) Zbl 0928.65173 J. Integral Equations Appl. 10, No. 2, 219-249 (1998). Reviewer: Z.Jackiewicz (Tempe) MSC: 65R20 45K05 PDF BibTeX XML Cite \textit{A. K. Pani} and \textit{R. K. Sinha}, J. Integral Equations Appl. 10, No. 2, 219--249 (1998; Zbl 0928.65173) Full Text: DOI Link OpenURL
Pani, Amiya K. An \(H^1\)-Galerkin mixed finite element method for parabolic partial differential equations. (English) Zbl 0915.65107 SIAM J. Numer. Anal. 35, No. 2, 712-727 (1998). Reviewer: H.Marcinkowska (Wrocław) MSC: 65M60 35K15 65M15 65M12 PDF BibTeX XML Cite \textit{A. K. Pani}, SIAM J. Numer. Anal. 35, No. 2, 712--727 (1998; Zbl 0915.65107) Full Text: DOI OpenURL
Chung, S. K.; Pani, A. K.; Park, M. G. Convergence of finite difference method for the generalized solutions of Sobolev equations. (English) Zbl 0886.65097 J. Korean Math. Soc. 34, No. 3, 515-531 (1997). Reviewer: P.Matus (Minsk) MSC: 65M12 65M20 35K15 65M06 PDF BibTeX XML Cite \textit{S. K. Chung} et al., J. Korean Math. Soc. 34, No. 3, 515--531 (1997; Zbl 0886.65097) OpenURL
Pani, Amiya K.; Peterson, Todd E. Finite element methods with numerical quadrature for parabolic integrodifferential equations. (English) Zbl 0858.65141 SIAM J. Numer. Anal. 33, No. 3, 1084-1105 (1996). Reviewer: H.Brunner (St.John’s) MSC: 65R20 45K05 PDF BibTeX XML Cite \textit{A. K. Pani} and \textit{T. E. Peterson}, SIAM J. Numer. Anal. 33, No. 3, 1084--1105 (1996; Zbl 0858.65141) Full Text: DOI OpenURL