Results 1 to 10 of about 253,757 (236)

Asymptotic integration of linear differential-algebraic equations [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2014
This paper is concerned with the asymptotic behavior of solutions of linear differential-algebraic equations with asymptotically constant coefficients. Some results of asymptotic integration which are well known for ordinary differential equations (ODEs)
Vu Hoang Linh, Nguyen Tuan
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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
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Differential Algebraic Equations [PDF]

, 2006
Workshop ...
Peter Kunkel, Volker Mehrmann
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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
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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
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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
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The Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint [PDF]

Journal of Electrical and Computer Engineering Innovations, 2013
In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations ...
R. Hajmohammadi, H. NasiriSoloklo, M.M. Farsangi   +2 more
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Development of technique of Backward integration step-by-step for solve stiff initial value problems

Tikrit Journal of Pure Science, 2023
Our purpose in this paper is the development of the  technique of backward integration step-by-step, In order to facilitating the use of this technique for  solving  the Stiff Problems.
Khalid A. M. Khalaf, Bashir M. S. Khalaf
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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
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Asymptotic solutions of boundary value problem for singularly perturbed system of differential-algebraic equations

Karpatsʹkì Matematičnì Publìkacìï, 2022
This paper deals with the boundary value problem for a singularly perturbed system of differential algebraic equations of the second order. The case of simple roots of the characteristic equation is studied.
P.F. Samusenko, M.B. Vira
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