Numerical methods for nonlinear PDEs

Regular articles:
abstract download W. Zhao and D.E. Pelinovsky, Multilevel computations of dispersed drug release, Numerical Methods for Partial Differential Equations 29, 1391-1415 (2013)
abstract download A. Abdelrazec and D. Pelinovsky, Convergence of the Adomian decomposition method for initial-value problems, Numerical Methods in PDEs 27, 749-766 (2011)
abstract download D.E. Pelinovsky and Yu. A. Stepanyants, Convergence of Petviashvili's iteration method for numerical approximation of stationary solutions of nonlinear wave equations, SIAM J. Numer. Anal. 42, 1110-1127 (2004)

Proceedings papers:
abstract download M. Chugunova and D. Pelinovsky, On the uniform convergence of the Chebyshev interpolants for solitons, Mathematics and Computers in Simulations, 80, 794-803 (2009)