Probabilistic evolution approach for the solution of explicit autonomous ordinary differential equations. I: Arbitrariness and equipartition theorem in Kronecker power series
type: Item
instance of: scholarly article
title: Probabilistic evolution approach for the solution of explicit autonomous ordinary differential equations. I: Arbitrariness and equipartition theorem in Kronecker power series
zbMATH Open document ID: 1298.34024
author: Coşar Gözükırmızı
author: Metin Demiralp
publication date: 2014-10-09T00:00:00Z
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 37N20
zbMATH DE Number: 6353046
zbMATH Keywords: dynamical systems
zbMATH Keywords: probability
zbMATH Keywords: expectation values
zbMATH Keywords: ordinary differential equations
zbMATH Keywords: linear algebra
zbMATH Keywords: power series
zbMATH Keywords: Kronecker products
MaRDI profile type: Publication
full work available at URL: s10910-013-0298-5
OpenAlex ID: W2071360066
cites work: New high order multiderivative explicit four-step methods with vanished phase-lag and its derivatives for the approximate solution of the Schrödinger equation. I: construction and theoretical analysis
cites work: High order closed Newton-Cotes exponentially and trigonometrically fitted formulae as multilayer symplectic integrators and their application to the radial Schrödinger equation
cites work: New open modified Newton Cotes type formulae as multilayer symplectic integrators
cites work: A probabilistic evolution approach trilogy. I: Quantum expectation value evolutions, block triangularity and conicality, truncation approximants and their convergence
cites work: A probabilistic evolution approach trilogy. II: Spectral issues for block triangular evolution matrix, singularities, space extension
cites work: A probabilistic evolution approach trilogy. III: Temporal variation of state variable expectation values from Liouville equation perspective
cites work: A probabilistic foundation for dynamical systems: phenomenological reasoning and principal characteristics of probabilistic evolution
cites work: A probabilistic foundation for dynamical systems: theoretical background and mathematical formulation
cites work: A contemporary linear representation theory for ordinary differential equations: probabilistic evolutions and related approximants for unidimensional autonomous systems
cites work: A contemporary linear representation theory for ordinary differential equations: multilinear algebra in folded arrays (folarrs) perspective and its use in multidimensional case
cites work: Probabilistic evolution approach for the solution of explicit autonomous ordinary differential equations. Part 2: Kernel separability, space extension, and, series solution via telescopic matrices
DOI: 10.1007/S10910-013-0298-5
published in: Journal of Mathematical Chemistry
description: scientific article; zbMATH DE number 6353046