Selected Recent Publications

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

• On Taylor Expansion Methods for Multivariate Integral Equations of the Second Kind, (with Khomsan Neamprem and Boriboon Novaprateep), International Journal of Mathematical Models and Methods in Applied Sciences, Vol. 6, Issue 8, 901-908, (2012).

• An Expansion Method for Multivariate Integral Equations, (with Khomsan Neamprem and Boriboon Novaprateep), Latest Advances in Information Science and Applications, Singapore, ISBN:978-1-61804-092-3, 91-94, (2012).

• Wavelet Collocation Method and Multilevel Augmentation Method for Hammerstein quations, (with K. Neamprem, B. Novaprateep - SIAM Journal of Scientific Computing, Vol. 34, No. 1, A309-A338, 2012) (pdf)

• Taylor-Sreies Expansion Methods for Nonlinear Hammerstein Equations, (with P. Huabsomboon, B. Novaprateep - Scientiae Mathematicae Japonicae, to appear in 2012) (pdf)

• Taylor-Sreies Expansion Method for Volterra Integral Equations of the Second Kind, (with P. Huabsomboon, B. Novaprateep - Scientiae Mathematicae Japonicae, (hard copy) Vol. 73, No. 1, 2011, (electronic copy) July, 2010) (pdf)

• Acceleration Techniques by Post-Processing of Numerical Solutions of Hammerstein Equations, (with K. Neamprem - Journal of Integral Equations and Applications, Vol. 23, No. 4, 2011) (pdf)

• On Taylor-Sreies Expansion Methods for the Second Kind Integral Equations, (with P. Huabsomboon, B. Novaprateep - Journal of Computational ans Applied Mathematics, 234(2010), 1466-1472) (pdf)

• Discrete Taylor-Expansion Method for Integral Equations, (with P. Huabsomboon, B. Novaprateep - International Journal of Numerical Methods ans Applications, 1(2009), 139-153) (pdf)

• Numerical Experiments using Hierarchical Finite Element Method for Nonlinear Heat Conduction in Plates, (with K.S.Bey, Y. Lenbury, P.Toghaw - Journal of Applied Mathematics and Computation, 201(2008), 414-430) (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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