Solving numerically nonlinear systems of balance laws by multivariate sigmoidal functions approximation
type: Item
instance of: scholarly article
title: Solving numerically nonlinear systems of balance laws by multivariate sigmoidal functions approximation
zbMATH Open document ID: 1395.65115
author: Danilo Costarelli
author: Renato Spigler
published in: Computational and Applied Mathematics
publication date: 2018-08-09T00:00:00Z
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 41A30
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 65M15
zbMATH DE Number: 6915443
zbMATH Keywords: nonlinear systems of balance laws
zbMATH Keywords: multivariate sigmoidal functions approximation
zbMATH Keywords: unit step functions
zbMATH Keywords: logistic functions
zbMATH Keywords: Gompertz functions
MaRDI profile type: Publication
full work available at URL: s40314-016-0334-8
OpenAlex ID: W2323427369
cites work: Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas
cites work: Universal approximation bounds for superpositions of a sigmoidal function
cites work: Q2716352
cites work: Constructive Approximation by Superposition of Sigmoidal Functions
cites work: Stable Solutions for a Catalytic Converter
cites work: Q4277561
cites work: Q4011460
cites work: Interpolation by neural network operators activated by ramp functions
cites work: Neural network operators: constructive interpolation of multivariate functions
cites work: Solving Volterra integral equations of the second kind by sigmoidal functions approximation
cites work: Approximation results for neural network operators activated by sigmoidal functions
cites work: Multivariate neural network operators with sigmoidal activation functions
cites work: A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions
cites work: Convergence of a family of neural network operators of the Kantorovich type
cites work: Approximation by series of sigmoidal functions with applications to neural networks
cites work: Max-product neural network and quasi-interpolation operators activated by sigmoidal functions
cites work: Asymptotic-numerical solution of nonlinear systems of one-dimensional balance laws
cites work: Approximation by superpositions of a sigmoidal function
cites work: Univariant approximation by superpositions of a sigmoidal function
cites work: Localization effects and measure source terms in numerical schemes for balance laws
cites work: Mathematical modeling in economics, ecology and the environment
cites work: Convergence of the $2 \times 2$ Godunov Method for a General Resonant Nonlinear Balance Law
cites work: On the Hausdorff distance between the Heaviside step function and Verhulst logistic function
cites work: The Formation and Decay of Shock Waves
cites work: Q4328446
cites work: Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
cites work: Q4037184
cites work: Approximation by superposition of sigmoidal and radial basis functions
cites work: Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
cites work: Q4938227
cites work: Q3030167
cites work: Q3999282
cites work: The Large-Time Behavior of the Scalar, Genuinely Nonlinear Lax-Friedrichs Scheme
cites work: A review of numerical methods for nonlinear partial differential equations
cites work: Q4061328
cites work: Entropy and global existence for hyperbolic balance laws
DOI: 10.1007/S40314-016-0334-8
description: scientific article; zbMATH DE number 6915443