Other Publications/ reports.
(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.