(i) Submitted Manuscripts

- AK Dond, N Nataraj, AK Pani (2014),
*Convergence of an adaptive mixed finite element method for general second order linear elliptic problems,*arXiv preprint arXiv:1402.3068. - S Bajpai, AK Pani (2014),
*On a three level two-grid finite element method for the 2D- transient Navier-Stokes equations,*arXiv preprint arXiv:1401.5540 - S Karaa, AK Pani, S Yadav (2014), A Priori hp-estimates for Discontinuous Galerkin Approximations to Linear Hyperbolic Integro-Differential Equations, arXiv preprint arXiv:1401.5539, Appl. Numer. Math. (submitted). ( Minor Revision)
- S Karaa, AK Pani (2014),
*Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data,*arXiv preprint arXiv:1401.5134, Journal of Computational and Applied Mathematics (Minor Revision). - S Karaa, AK Pani (2014),
*A priori error estimates for finite volume element approxi- mations to second order linear hyperbolic integro-differential equations,*arXiv preprint arXiv:1401.5139, IJNAM ( Moinor Revision) - C Carstensen, AK Dond, N Nataraj, AK Pani (2014),
*Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems,*arXiv preprint arXiv:1401.4810, Submiited to Numer. Math. ( Under Revison) - A. Patel and A.K.Pani (2013),
*Stabilized Lagrange multiplier method for elliptic and parabolic interface problems,*Numer. Meth. PDEs (Submitted). - M. Khebchareon, A.K. Pani and Graeme Fairweather (2013),
*Alternating direction im- plicit Galerkin methods for an evolution equation with a positive-type memory,*( submitted).

(ii) Research Reports.

- A. K. Pani and P. C. Das,
*Finite element approximation for unidimensional parabolic free boundary problems via front fixing techniques.*Research Report CMA-R17-92, Australian National University, Canberra. - D. Bhaguna and A. K. Pani,
*Global existence of parabolic integro-differential equations.*Research Report CMA-R29-90. Australian National University, Canberra. - A. K. Pani, S. K. Chung and R. S. Anderssen,
*On convergence of finite difference schemes for generalized solutions of parabolic and hyperbolic partial differential equations.*Research Report CMA-R1-91. Australian National University, Canberra. - A. K. Pani, S. K. Chung and R. S. Anderssen,
*On convergence of finite difference schemes for generalized solutions of parabolic and hyperbolic integro-differential equations.*Research Report CMA-R3-91. Australian National University, Canberra. - A. K. Pani, S. K. Chung and R. S. Anderssen,
*On convergence of finite difference schemes for a parabolic integro- differential equation with weakly singular kernel.*Research Report CMA-R8-91. Australian National University, Canberra. - A. K. Pani and T. Sengadir,
*Set contractions on Frechet spaces and implicit equations on non-compact intervals.*Research Report CMA-R12-92, Australian National University, Canberra. - A. K. Pani and T sengadir,
*Topological Transversality : applications to second order boundary value problems with refection in the argument.*Research Report CMA-R11- 92. Australian National University, Canberra. - A. K. Pani and T. Peterson,
*The effect of numerical quadrature on semidiscrete finite element methods for a parabolic integro-differential equation.*Research Report CMAR1- 93, Australian National University, Canberra. - A. K. Pani,
*A qualocation method for parabolic partial differential equations.*Research Report MRR 07-95, Department of Mathematics, Indian Institute of Technology, Bombay. - Rajen K. Sinha and A. K. Pani,
*Interior error estimates for finite element Galerkin approximations to parabolic integro-differential equations.*Research Report MRR 02-95, Department of Mathematics, Indian Institute of Technology, Bombay. - A. K. Pani and Pradeepa Nair,
*Finite element approximation to an evolutionary vari- ational inequality with a Volterra term ,*IMG-RR-2000-1, Department of Mathematics, IIT Bombay. - Pradeepa Nair and A. K. Pani,
*Finite Element Approximation to an injection mould- ing process*(with Pradeepa Nair), IMG-RR-2001-2, Department of Mathematics, IIT Bombay. - Carlos H. Santos, Jin Yun Yuan and A. K. Pani,
*Spectral Galerkin Method for the equations of motions arising in the Kelvin-Voight fluids.* - M. A. Mohammed Ali and A. K. Pani,
*Mixed finite element Galerkin approximation to slightly compressible miscible displacement problems in porous media,*Research Report MRR 10-96, Department of Mathematics , IIT Bomb - M. A. Mohammed Ali and A. K. Pani,<>i Super convergence for the pressure in the com- pressible miscible displacement in porous media, Research Report MRR 11-96, Department of Mathematics , IIT Bombay.
- T. Gudi, A.K. Pani and Neela Nataraj,
*A priori error analysis of an hp-local discontin- uous Galerkin method for nonlinear elliptic problems,*IIT Bombay.

(iii) Technical Reports.

- A. Chordia, K. Moudgalya and A. K. Pani,
*The role of index of DAE in numerical in- tegration using Backward Difference Formula,*IMG-TR-1999-05, Department of Mathematics, IITB. - A. Chordia, K. Moudgalya and A. K. Pani,
*Index determination of DAE system,*IMGTR- 1999-06, Department of Mathematics, IITB. - C. Mathew and A. K. Pani,
*Numerical methods for American option pricing model,*IMG-TR-2001-05, Department of Mathematics, IITB. - A. V. Ghate, K. Moudgalya and A. K. Pani,
*Software architecture for index deter- mination and equation-variable reordering of DAEs,*IMG-RR-2000-04,Department of Mathematics, IITB.