Results 51 to 60 of about 1,301,854 (405)

Proper Orthogonal Decomposition for Model Reduction of Linear Differential-Algebraic Equation Systems

, 2011
This paper presents a generalization of the model reduction method proper orthogonal decomposition to systems of differential-algebraic equations of arbitrary index.
R. Romijn, S. Weiland, W. Marquardt
semanticscholar   +1 more source

A Numerical Method for a System of Fractional Differential-Algebraic Equations Based on Sliding Mode Control

Mathematics, 2020
Fractional calculus is widely used in engineering fields. In complex mechanical systems, multi-body dynamics can be modelled by fractional differential-algebraic equations when considering the fractional constitutive relations of some materials.
Yongpeng Tai, Ning Chen, Lijin Wang, Zaiyong Feng, Jun Xu   +4 more
doaj   +1 more source

Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation

, 2011
We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous non-linear differential equation.
A. M. Polyakov, A. M. Polyakov, E. B. Bogomol’nyi, E. B. Bogomol’nyi, G. M. Murphy, Hironobu Kihara, N. H. Abel   +6 more
core   +1 more source

Variations for Some Painlev\'e Equations [PDF]

, 2019
This paper first discusses irreducibility of a Painlev\'e equation $P$. We explain how the Painlev\'e property is helpful for the computation of special classical and algebraic solutions.
Acosta-Humánez, Primitivo B., Top, Jaap, van der Put, Marius   +2 more
core   +2 more sources

Taylor collocation method for systems of high-order linear differential–difference equations with variable coefficients

Ain Shams Engineering Journal, 2013
A Taylor collocation method has been developed to solve the systems of high-order linear differential–difference equations in terms of the Taylor polynomials.
Elçin Gökmen, Mehmet Sezer
doaj   +1 more source

On the History of Differential-Algebraic Equations [PDF]

, 2017
The present article takes an off-the-wall approach to the history of Differential-Algebraic Equations and uses personal side trips and memories of conferences, workshops, and summer schools to highlight some of the milestones in the field. Emphasis is in particular placed on the application fields that set the ball rolling and on the development of ...
openaire   +4 more sources

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 Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems

Journal of Applied Mathematics, 2013
In this paper, we propose an iterative spectral method for solving differential equations with initial values on large intervals. In the proposed method, we first extend the Legendre wavelet suitable for large intervals, and then the Legendre-Guass ...
A. Karimi Dizicheh, F. Ismail, M. Tavassoli Kajani, Mohammad Maleki   +3 more
doaj   +1 more source

The Approximate Solution of the Nonlinear Exact Equation of Deflection of an Elastic Beam with the Galerkin Method

Applied Sciences, 2022
Calculating the large deflection of a cantilever beam is one of the common problems in engineering. The differential equation of a beam under large deformation, or the typical elastica problem, is hard to approximate and solve with the known solutions ...
Chencheng Lian, Ji Wang, Baochen Meng, Lihong Wang   +3 more
doaj   +1 more source

Data‐driven forecasting of ship motions in waves using machine learning and dynamic mode decomposition

International Journal of Adaptive Control and Signal Processing, EarlyView.
Summary Data‐driven forecasting of ship motions in waves is investigated through feedforward and recurrent neural networks as well as dynamic mode decomposition. The goal is to predict future ship motion variables based on past data collected on the field, using equation‐free approaches.
Matteo Diez, Mauro Gaggero, Andrea Serani   +2 more
wiley   +1 more source