Results 51 to 60 of about 253,757 (236)

Algebraic entropy for semi-discrete equations

, 2012
We extend the definition of algebraic entropy to semi-discrete (difference-differential) equations. Calculating the entropy for a number of integrable and non integrable systems, we show that its vanishing is a characteristic feature of integrability for
Ablowitz M J, Ablowitz M J, C-M Viallet, D K Demskoi, Grammaticos B, Gromov M, Halburd R, Levi D, McMullen C T, Mikhailov A V, Mikhailov A V, Mikhailov A V, Ramani A, Takenawa T, Tamizhmani K M, Viallet C-M, Yamilov R I, Yamilov R I   +17 more
core   +1 more source

An algebraic Birkhoff decomposition for the continuous renormalization group

, 2004
This paper aims at presenting the first steps towards a formulation of the Exact Renormalization Group Equation in the Hopf algebra setting of Connes and Kreimer.
Brouder C., Butcher J. C., Cayley A., Connes A., Figueroa H., Florian Girelli, Gallavotti G., Gallavotti G., Girelli F., Hairer E., Hurd T., Kastler D., Kogut J., Petermann A., Pierre Martinetti, Sakakibara M., Thomas Krajewski, Wilson K. G.   +17 more
core   +2 more sources

A Prediction-Correction Dynamic Method for Large-Scale Generalized Eigenvalue Problems

Abstract and Applied Analysis, 2013
This paper gives a new prediction-correction method based on the dynamical system of differential-algebraic equations for the smallest generalized eigenvalue problem.
Xin-long Luo, Jia-ru Lin, Wei-ling Wu
doaj   +1 more source

The Differential Counting Polynomial [PDF]

, 2015
The aim of this paper is a quantitative analysis of the solution set of a system of polynomial nonlinear differential equations, both in the ordinary and partial case.
Lange-Hegermann, Markus
core  

Functional Approach for Solving Reduced Order of Index-Four Hessenberg Differential-Algebraic Control System

Journal of Mathematics, 2022
This research investigates differential-algebraic equations with higher index (index four). Specifically, a functional analytic approach is proposed to find the solution of (index four) Hessenberg differential-algebraic equations (DAEs).
Ghazwa F. Abd
doaj   +1 more source

Meromorphic Solutions of Some Algebraic Differential Equations

Abstract and Applied Analysis, 2014
By means of the normal family theory, we estimate the growth order of meromorphic solutions of some algebraic differential equations and improve the related results of Barsegian et al. (2002).
Jianming Lin, Weiling Xiong, Wenjun Yuan
doaj   +1 more source

Network algebraization and port relationship for power‐electronic‐dominated power systems

IET Renewable Power Generation
In the classical differential‐algebraic equations (DAEs) framework for the traditional power system stability analysis, synchronous generators are depicted by differential equations and network by algebraic equations under the quasi‐steady‐state ...
Rui Ma, Xiaowen Yang, Meng Zhan
doaj   +1 more source

An ultraweak variational method for parameterized linear differential-algebraic equations [PDF]

, 2022
Emil Beurer, Moritz Feuerle, Niklas Reich, Karsten Urban   +3 more
openalex   +1 more source

Sobolev gradients for differential algebraic equations

Electronic Journal of Differential Equations, 2008
Sobolev gradients and weighted Sobolev gradients have been used for the solution of a variety of ordinary as well as partial differential equations. In the article at hand we apply this method to linear and non-linear ordinary differential algebraic ...
Manfred Sauter, Robin Nittka
doaj  

Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics

MATEC Web of Conferences, 2018
This paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear ...
Leibov Roman
doaj   +1 more source