Solving numerically nonlinear systems of balance laws by multivariate sigmoidal functions approximation

On the Hausdorff distance between the Heaviside step function and Verhulst logistic function

(2015) Nikolay Kyurkchiev et al.   JOURNAL OF MATHEMATICAL CHEMISTRY

Neural network operators: Constructive interpolation of multivariate functions

(2015) Danilo Costarelli   NEURAL NETWORKS

Convergence of a family of neural network operators of the Kantorovich type

(2014) Danilo Costarelli et al.   JOURNAL OF APPROXIMATION THEORY

A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions

(2014) Danilo Costarelli et al.   Journal of Integral Equations and Applications

Interpolation by neural network operators activated by ramp functions

(2014) Danilo Costarelli   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Approximation by series of sigmoidal functions with applications to neural networks

(2013) Danilo Costarelli et al.   ANNALI DI MATEMATICA PURA ED APPLICATA

Asymptotic-numerical solution of nonlinear systems of one-dimensional balance laws

(2013) Danilo Costarelli et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Solving Volterra integral equations of the second kind by sigmoidal functions approximation

(2013) Danilo Costarelli et al.   Journal of Integral Equations and Applications

Multivariate neural network operators with sigmoidal activation functions

(2013) Danilo Costarelli et al.   NEURAL NETWORKS

Approximation results for neural network operators activated by sigmoidal functions

(2013) Danilo Costarelli et al.   NEURAL NETWORKS

A review of numerical methods for nonlinear partial differential equations

(2012) Eitan Tadmor   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Gompertz’ survivorship law as an intrinsic principle of aging

(2012) Arthur A. Sas et al.   MEDICAL HYPOTHESES