This paper describes a numerical verification of solutions for infinite-dimensional functional equations based on residual forms and Newton-like iteration. The method is based upon a verification method previously developed by the authors. Several computer-assisted proofs for differential equations, including nonlinear partial differential equations, are presented.
['Yoshitaka Watanabe', 'Mitsuhiro T. Nakao']
A numerical verification method for nonlinear functional equations based on infinite-dimensional Newton-like iteration