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We apply Newton’s method to hyperbolic stochastic functional partial differential equations of the first order driven by a multidimensional Brownian motion. We prove a first-order convergence and a second-order convergence in a probabilistic sense.
@article{MonikaWrzosek2014, abstract = {We apply Newton’s method to hyperbolic stochastic functional partial differential equations of the first order driven by a multidimensional Brownian motion. We prove a first-order convergence and a second-order convergence in a probabilistic sense.}, author = {Monika Wrzosek}, journal = {Commentationes Mathematicae}, keywords = {Stochastic functional partial differential equations}, language = {eng}, number = {1}, pages = {null}, title = {Newton’s method for first-order stochastic functional partial differential equations}, url = {http://eudml.org/doc/292478}, volume = {54}, year = {2014}, }
TY - JOUR AU - Monika Wrzosek TI - Newton’s method for first-order stochastic functional partial differential equations JO - Commentationes Mathematicae PY - 2014 VL - 54 IS - 1 SP - null AB - We apply Newton’s method to hyperbolic stochastic functional partial differential equations of the first order driven by a multidimensional Brownian motion. We prove a first-order convergence and a second-order convergence in a probabilistic sense. LA - eng KW - Stochastic functional partial differential equations UR - http://eudml.org/doc/292478 ER -