157 citations · 236 across the 12 of their papers we have counts for
13 papers
Invariance correction to Grad's equations: Where to go beyond approximations?
A. N. Gorban, I. V. Karlin
We review some recent developments of Grad's approach to solving the Boltzmann equation and creating reduced description. The method of invariant manifold is put forward as a unifi…
MultiNeuron - Neural Networks Simulator For Medical, Physiological, and Psychological Applications
A. N. Gorban, D. A. Rossiyev, M. G. Dorrer
This work describes neural software applied in medicine and physiology to: investigate and diagnose immune deficiencies; diagnose and study allergic and pseudoallergic reactions; f…
Constructive Methods of Invariant Manifolds for Kinetic Problems
A. N. Gorban, I. V. Karlin, A. Yu. Zinovyev
We present the Constructive Methods of Invariant Manifolds for model reduction in physical and chemical kinetics, developed during last two decades. The problem of reduced descript…
Uniqueness of thermodynamic projector and kinetic basis of molecular individualism
A. N. Gorban, I. V. Karlin
Three results are presented: First, we solve the problem of persistence of dissipation for reduction of kinetic models. Kinetic equations with thermodynamic Lyapunov functions are…
Legendre Integrators, Post-Processing and Quasiequilibrium
A. N. Gorban, P. A. Gorban, I. V. Karlin
A toolbox for the development and reduction of the dynamical models of nonequilibrium systems is presented. The main components of this toolbox are: Legendre integrators, dynamical…
Geometry of irreversibility: The film of nonequilibrium states
A. N. Gorban, I. V. Karlin
A general geometrical framework of nonequilibrium thermodynamics is developed. The notion of macroscopically definable ensembles is developed. The thesis about macroscopically defi…