Other Publications/ reports.

(i) Submitted Manuscripts
  1. 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.

  2. 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

  3. 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)

  4. 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).

  5. 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)

  6. 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)

  7. A. Patel and A.K.Pani (2013), Stabilized Lagrange multiplier method for elliptic and parabolic interface problems, Numer. Meth. PDEs (Submitted).

  8. 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.
  1. 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.

  2. D. Bhaguna and A. K. Pani, Global existence of parabolic integro-differential equations. Research Report CMA-R29-90. Australian National University, Canberra.

  3. 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.

  4. 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.

  5. 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.

  6. 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.

  7. 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.

  8. 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.

  9. A. K. Pani, A qualocation method for parabolic partial differential equations. Research Report MRR 07-95, Department of Mathematics, Indian Institute of Technology, Bombay.

  10. 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.

  11. 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.

  12. 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.

  13. Carlos H. Santos, Jin Yun Yuan and A. K. Pani, Spectral Galerkin Method for the equations of motions arising in the Kelvin-Voight fluids.

  14. 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

  15. 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.

  16. 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.
  1. 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.

  2. A. Chordia, K. Moudgalya and A. K. Pani, Index determination of DAE system, IMGTR- 1999-06, Department of Mathematics, IITB.

  3. C. Mathew and A. K. Pani, Numerical methods for American option pricing model, IMG-TR-2001-05, Department of Mathematics, IITB.

  4. 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.