Results 1 to 10 of about 10,653 (163)

Stability analysis of nonlinear algebraic-differential equations with 2-delays and numerical methods. [PDF]

PLoS ONE
This paper investigates stability analysis and numerical approaches for nonlinear delay differential-algebraic equations with 2-delays. Based on asymptotic stability considerations for Hessenberg type delay differential-algebraic equations, we develop a ...
Huiqing Liao, Qi Li, Xunpeng Xia, Dongjie Tang   +3 more
doaj   +2 more sources

Differential Algebraic Equations [PDF]

, 2021
AbstractLet H be a Hilbert space and $$\nu \in \mathbb {R}$$ ν ∈ ℝ . We saw in the previous chapter how initial value problems can be formulated within the framework of evolutionary equations.
Christian Seifert, Sascha Trostorff, Marcus Waurick   +2 more
openaire   +2 more sources

Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]

AUT Journal of Mathematics and Computing, 2022
It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
doaj   +1 more source

Differential-Algebraic Equations [PDF]

, 2006
Workshop ...
Peter Kunkel, Volker Mehrmann
  +5 more sources

Stochastic Runge–Kutta methods for multi-dimensional Itô stochastic differential algebraic equations

Results in Applied Mathematics, 2021
In this paper, we discuss the numerical solutions to index 1 stochastic differential algebraic equations. We introduce a new class of weak second-order stochastic Runge–Kutta methods for finding the numerical approximate solutions to multi-dimensional ...
Priya Nair, Anandaraman Rathinasamy
doaj   +1 more source

Numerical solutions for implicit differential equations with singularities

Semina: Ciências Exatas e Tecnológicas, 2022
In this paper we introduce a technique to deal with implicit differential equations exhibiting singularities. Our approach is a geometrical one, we use the concept of contact structure on a manifold associated with the differential equation.
Antonio Castelo, Geovan Tavares, Juliana Bertoco   +2 more
doaj   +1 more source

On differential–algebraic equations in infinite dimensions [PDF]

Journal of Differential Equations, 2019
We consider a class of differential-algebraic equations (DAEs) with index zero in an infinite dimensional Hilbert space. We define a space of consistent initial values, which lead to classical continuously differential solutions for the associated DAE.
Trostorff, Sascha, Waurick, Marcus
openaire   +5 more sources

Controllability of switched differential–algebraic equations [PDF]

Systems & Control Letters, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ferdinand Küsters, Markus G.-M. Ruppert, Stephan Trenn   +2 more
openaire   +2 more sources

Generalized Derivatives of Differential–Algebraic Equations [PDF]

Journal of Optimization Theory and Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter G. Stechlinski, Paul I. Barton
openaire   +3 more sources

Pseudotransient Continuation and Differential-Algebraic Equations [PDF]

SIAM Journal on Scientific Computing, 2003
The authors present a globally convergent method for semi-explicit index-1 differential-algebraic equations (DAEs) given by an iteration procedure. Pseudotransient continuation is a practical technique for globalizing the computation of steady-state solutions of nonlinear differential equations and is applied here to DAEs.
Todd S. Coffey, C. T. Kelley, David E. Keyes   +2 more
openaire   +2 more sources