My publications on MathSciNet: click here
Publications
Submitted papers
N. S. Hoang, A version of the Dynamical Systems Method for solving equations with linear operators (submitted)
N. S. Hoang, An iterative scheme for solving equations with locally sigma-inverse monotone operators. (submitted)
Monograph
A. G. Ramm and N. S. Hoang, Dynamical Systems Method and Applications: Theoretical Develop ments and Numerical Examples, Wiley, Hoboken, 2012.
2011
N. S. Hoang and A. G. Ramm, Some nonlinear inequalities and applications,
N. S. Hoang and A. G. Ramm, Nonlinear differential inequality, Math. Inequal. Appl. (MIA), 14, N4, (2011), 967-976.
2010
N. S. Hoang, Dynamical systems method of gradient type for solving nonlinear equations with monotone operators. BIT Numer. Math., 50, N4, (2010), 751–780.
N. S. Hoang, Dynamical System Method for solving nonlinear equations with monotone Holder continuous operators, Int. J. Comput. Sci. Math., 3, N 1/2, (2010), 56--75.
N. S. Hoang and A. G. Ramm, The Dynamical Systems Method for solving nonlinear equations with monotone operators, Asian Europ. Math. Journ., 3, N1, (2010), 57--105.
N. S. Hoang and A. G. Ramm, Dynamical Systems Method (DSM) for solving equations with monotone operators without smoothness assumptions on F'(u). , J. Math. Anal. Appl., 367, N2, (2010), 508-515.
N. S. Hoang and A. G. Ramm, Dynamical systems gradient method for solving ill-conditioned linear algebraic systems, Acta Appl. Math., 111, N2, (2010), 189-204. pdf
N. S. Hoang and A. G. Ramm, DSM of Newton type for solving operator equations F(u) = f with minimal smoothness assumptions on F, Int. J. Comput. Sci. Math., 3, N 1/2, (2010), 3--55.
N. S. Hoang and A. G. Ramm, Dynamical system method for solving nonlinear equations with monotone operators, Math. Comp., 79, (2010), 239-258. pdf
2009
N. S. Hoang and R.B. Sidje, Functionally-fitted explicit pseudo two-step Runge-Kutta methods, Appl. Numer. Math., 59, N1, (2009), pp. 39-55. pdf
N. S. Hoang and A. G. Ramm, Dynamical system method for solving finite-rank operator equations, Ann. Polon. Math., 95, N1, (2009), 77-93. pdf
N. S. Hoang and A. G. Ramm, A discrepancy principle for equations with monotone continuous operators, Nonlinear Analysis Series A: Theory, Methods & Applications, 70, (2009), 4307-4315. pdf
N. S. Hoang and A. G. Ramm, Dynamical Systems Gradient method for solving equations with monotone operators, Acta Appl. Math., 106, (2009) , 473-499. pdf
N. S. Hoang and A. G. Ramm, A new version of the Dynamical systems method (DSM) for solving nonlinear quations with monotone operators, Diff. Eq. Appl., 1, N1, (2009), 1-25. pdf
N. S. Hoang and A. G. Ramm, Symmetry problems 2, Annal. Polon. Math., 96, N1, (2009), pdf
N. S. Hoang and A. G. Ramm, A nonlinear inequality and applications, Nonlinear Analysis Series A: Theory, Methods & Applications, 71, (2009), 2744- 2752. pdf
N. S. Hoang and A. G. Ramm, An inverse problem for a heat equation with piecewiseconstant thermal conductivity, J. Math. Phys. 50, 063512 (2009). pdf
N. S. Hoang and A. G. Ramm, Existence of solution to an evolution equation and a justification of the DSM for equations with monotone operators, Commun. Math. Sci., 7, N4, (2009).
2008
N. S. Hoang, R.B. Sidje and N.H. Cong, On stability of functionally-fitted Runge-Kutta methods, BIT Numer. Math., 48, N1, (2008), 61--77. pdf.
N. S. Hoang and A. G. Ramm, Solving ill-conditioned linear algebraic systems by the DSM, Inverse Probl. Sci. Eng., 16, N5, (2008), 617--630. pdf
N. S. Hoang and A. G. Ramm, An iterative scheme for solving equations with monotone operators, BIT Numer. Math., 48, N4, (2008), 725-741. pdf
N. S. Hoang and A. G. Ramm, A nonlinear inequality, Jour. Math. Ineq., 2, N4, (2008), 459-464.
2007
R.B. Sidje and N. S. Hoang, On the stability function of functionally-fitted Runge-Kuta methods, ANZIAM J. 48 (CTAC2006), (2007), pp. C151-c167.
2006
N. S. Hoang, R.B. Sidje and N.H. Cong, On functionally-fitted Runge-Kutta methods, BIT Numer. Math., 46, (2006), 861--874. pdf