title: Newton's method for nonlinear stochastic wave equations driven by one-dimensional Brownian motion.
abstract: We consider nonlinear stochastic wave equations driven by one-dimensional white noise with respect to time. The existence of solutions is proved by means of Picard iterations. Next we apply Newton's method. Moreover, a second-order convergence in a probabilistic sense is demonstrated.
authors.affiliation: Institute of Mathematics, University of GdaNsk, Wita Stwosza 57, 80-952 GdaNsk, Poland. email: hleszcz@mat.ug.edu.pl.
authors.forename: Henryk
authors.initials: H
authors.lastname: Leszczynski
authors.forename: Monika
authors.initials: M
authors.lastname: Wrzosek
mesh_terms: D000465:Algorithms; D008962:Models, Theoretical; D009038:Motion; D017711:Nonlinear Dynamics; D013269:Stochastic Processes