Selected Recent Publications

Some papers can be downloaded in dvi, ps or pdf format. Abstracts of the other papers are available in html format.

• Numerical Experiments using Hierarchical Finite Element Method for Nonlinear Heat Conduction in Plates, (with K.S.Bey, Y. Lenbury, P.Toghaw - To appear in Journal of Applied Mathematics and Computation) (pdf)

• Error Analysis of p-Version Discontinuous Galerkin Method for Heat Transfer in Built-Up Structures (with K.S.Bey, P.Z.Daffer, P.Toghaw - Communications on Pure and Applied Analysis, Vol. 6, No. 3, 2007, 719-740) (pdf)

• A Discontinuous Galerkin Method for Parabolic Problems with Modified hp-Finite Element Approximation Technique, (with K.S.Bey and J. Hou - Applied Mathematics and Computation, Vol. 182, 2006, 1405-1417) (pdf)

• Discontinuous Galerkin Finite Element Method for Parabolic Equations, (with K.S.Bey and J. Hou - Applied Mathematics and Computation, Vol. 182, 2006, 388-402.) (pdf)

• A Construction of Wavelets, (with P. Daffer - Applicable Analysis, Vol. 85, No. 10, October 2006, p.1245-1253). (dvi) (ps) (pdf)

• Hierarchical Finite Element Method for Nonlinear Heat Conduction in Plates, (with P. Toghaw), Proceeding of International Conference in Mathematics and Applications: ICMA-MU 2005, 37-64, (2005) (abstract)

• Discontinuous Galerkin Finite Element Method for Nonlinear Parabolic Problems with Non-smooth Data (with J. Hou- Far East Journal of Applied Mathematics -an invited paper in a special issue 14(2), 137-155, (2004)) (abstract)

• Wavelet applications to the Petrov-Galerkin method for Hammerstein Equations, (with R. Noren and B. Novaprateep) Applied Numerical Mathematics, Vol. 45, 255-273 (2003). (dvi) (ps) (pdf)

• Superconvergence of the iterated degenerate kernel method, (with P. Padilla and Y. Xu), Applicable Analysis, Vol. 80, No. 3, 331-351, (2002). (dvi) (ps) (pdf)

• Variational Principle and Fixed Points, (with P. Daffer and W. Li) Chapter 9 in SET VALUED MAPPINGS AND APPLICATIONS TO NONLINEAR ANALYSIS, Edited by R. P. Agarwal and D. O'Regan, Taylor and Francis Publ. (2002) (dvi) (ps) (pdf)

• A Comparison of the Multigroup and collocation Methods for Solving the Low Energy Neutron Boltzmann Equation, (with M.S.Clowdsley, J.H.Heinbockel et. al.), Canadian Journal of Physics, 78: 45-56 (2000). (abstract)

• A Residual as an Error Estimator for Numerical Solution of Nonlinear Integral Equations, (with R. Noren), The International Journal of Boundary Element Methods, Vol. 10, No. 3, 7-10, (1999). (dvi) (ps) (pdf)

• Numerical Solutions of Hammerstein Equations, (with R. Noren), a chapter contribution, BOUNDARY INTEGRAL METHODS- NUMERICAL AND MATHEMATICAL ASPECTS, edited by M.A. Golberg, Computational Mechanics Publications, Southampton, U.K. 257-288, (1999). (dvi) (ps) (pdf)

• A Note on the Finite Element Method with Singular Basis Functions, (with P. Padilla) International Jl. for Numerical Methods in Engineering, Vol. 45, 491-495 (1999). (dvi) (ps) (pdf)

• A Variational Principle of Ekeland, (with P. Daffer), FUNCTIONAL ANALYSIS - SELECTED TOPICS , edited by P.K.Jain, Narosa Publishing House, New Delhi, India, 152-157, (1998). (dvi) (ps) (pdf)

• Singularity Preserving Galerkin Method for Hammerstein Equations with Logaritmic Kernel, (with R. Noren and P. Padilla), Advances in Computational Mathematics, Vol. 9, 363-376, (1998). (dvi) (ps) (pdf)

• Superconvergence of the Iterated Collocation Method for Hammerstein Equations, (with R. Noren and P. Padilla), Journal of Computational and Applied Mathematics, Vol. 80, 335-349, (1997). (dvi) (ps) (pdf)

• Characterizations of Fixed Points of Multi-Valued Maps by Metric Projections, (with P. Daffer), Bollettino de'lla Unione Matematica Italiana, (7) 10-A, 399-408, (1996). (dvi) (ps) (pdf)

• On a Conjecture of Reich, (with P. Daffer and W. Li) Proceedings of American Mathematical Society, Vol. 124, No. 10, 3159-3162, (1996). (dvi) (ps) (pdf)

• Superconvergence of the Iterated Galerkin Method for Hammerstein Equations, (with Y. Xu), S.I.A.M. Journal of Numerical Analysis, Vol. 33, 1048-1064, (1996). (dvi) (ps) (pdf)

• Fixed Points of Generalized Contractive Multi-Valued Mappings, (with P. Daffer), Journal of Mathematical Analysis and Applications, Vol. 192, 655-666, (1995). (abstract)

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