Probabilistic evolution approach for the solution of explicit autonomous ordinary differential equations. Part 2: Kernel separability, space extension, and, series solution via telescopic matrices
type: Item
instance of: scholarly article
title: Probabilistic evolution approach for the solution of explicit autonomous ordinary differential equations. Part 2: Kernel separability, space extension, and, series solution via telescopic matrices
zbMATH Open document ID: 1305.34021
author: Coşar Gözükırmızı
author: Metin Demiralp
publication date: 2014-10-09T00:00:00Z
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34A12
zbMATH DE Number: 6353047
zbMATH Keywords: dynamical systems
zbMATH Keywords: ordinary differential equations
zbMATH Keywords: Kronecker or direct products
zbMATH Keywords: Kronecker or direct power series
zbMATH Keywords: spectral decompositions
MaRDI profile type: Publication
full work available at URL: s10910-013-0299-4
OpenAlex ID: W2073725837
cites work: Probabilistic evolution approach for the solution of explicit autonomous ordinary differential equations. I: Arbitrariness and equipartition theorem in Kronecker power series
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: An optimized explicit Runge-Kutta method with increased phase-lag order for the numerical solution of the Schrödinger equation and related problems
cites work: New modified Runge-Kutta-Nyström methods for the numerical integration of the Schrödinger equation
cites work: Symplectic partitioned Runge-Kutta methods with minimal phase-lag
cites work: Exponentially and trigonometrically fitted methods for the solution of the Schrödinger equation
cites work: A nonlinear explicit two-step fourth algebraic order method of order infinity for linear periodic initial value problems
cites work: A NEW METHODOLOGY FOR THE CONSTRUCTION OF OPTIMIZED RUNGE–KUTTA–NYSTRÖM METHODS
cites work: On modified Runge-Kutta trees and methods
cites work: A NEW SYMMETRIC EIGHT-STEP PREDICTOR-CORRECTOR METHOD FOR THE NUMERICAL SOLUTION OF THE RADIAL SCHRÖDINGER EQUATION AND RELATED ORBITAL PROBLEMS
cites work: A symmetric eight-step predictor-corrector method for the numerical solution of the radial Schrödinger equation and related IVPs with oscillating solutions
cites work: A two-step method with vanished phase-lag and its first two derivatives for the numerical solution of the Schrödinger equation
cites work: TWO NEW PHASE-FITTED SYMPLECTIC PARTITIONED RUNGE–KUTTA METHODS
DOI: 10.1007/S10910-013-0299-4
published in: Journal of Mathematical Chemistry
description: scientific article; zbMATH DE number 6353047