Results 201 to 210 of about 253,757 (236)

Regularization of Nonlinear Differential-Algebraic Equations

SIAM Journal on Mathematical Analysis, 1994
Summary: This paper illustrates how initial value problems for nonlinear differential-algebraic equations can be regularized, i.e., converted to tractable singularly perturbed problems, by appropriate introduction of a small positive parameter \(\varepsilon\).
O'Malley, Robert E. jun., Kalachev, Leonid V.   +1 more
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Abstract differential-algebraic equations

2013
The concept of regular DAEs developed in Part I for DAEs in finite-dimensional spaces is generalized to some extend for DAEs acting in Hilbert spaces, which are called abstract differential-algebraic equations (ADAEs). Such a framework aims to provide a systematic approach for coupled systems of different type. It should be emphasized that this working
René Lamour, Roswitha März, Caren Tischendorf   +2 more
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Delay Differential-Algebraic Equations (DDAEs)

Babylonian Journal of Mathematics, 2023
Delay differential-algebraic equations (DDAEs) are an important class of mathematical models that broaden standard differential-algebraic equations (DAEs) to incorporate discrete time delays. The time lag terms pose significant analytical and computational challenges.
Muhammad Tariq, Muhammad Suleman, Sher khan Awan, Prem Kuma, Asif Ali Shaikh   +4 more
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Nonlinear differential algebraic equations

Siberian Mathematical Journal, 2007
Summary: We consider a system of nonlinear ordinary differential equations that are not solved with respect to the derivative of the unknown vector function and degenerate identically in the domain of definition. We obtain conditions for the existence of a map transforming the original system to the normal form and prove a general theorem on the ...
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Differential-Algebraic Equations

1984
In this paper we study the numerical solution of the differential/algebraic systems F(t, y, y′) = 0. Many of these systems can be solved conveniently and economically using a range of ODE methods. Others can be solved only by a small subset of ODE methods, and still others present insurmountable difficulty for all current ODE methods.
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Regularizations of Differential‐Algebraic Equations Revisited

Mathematische Nachrichten, 1995
AbstractThe present paper deals with quasilinear differential‐algebraic equations with index 2. These equations are approximated by regularization methods. Such methods lead to singularly perturbed differential‐algebraic equations. Using a geometric theory of singular perturbations convergence of the solutions of the regularized problems towards that ...
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The Lagrange differential-algebraic equations

Journal of Applied Mathematics and Mechanics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Burov, A. A., Kosenko, I. I.
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High-Index Differential Algebraic Equations

Mechanics of Structures and Machines, 1995
ABSTRACT In the last few years there has been considerable research on differential algebraic equations (DAEs) f(x1, x, t) = 0, where fx 1 is identically singular. The index provides one measure of the singularity of a DAE. Most of the numerical analysis literature on DAEs to date has dealt with DAEs with indices no larger than three, because of ...
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Explicit Differential-Algebraic Equations

2020
Federico Milano, Ioannis Dassios, Muyang Liu, Georgios Tzounas   +3 more
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Regularization of differential-algebraic equations

Computational Mathematics and Mathematical Physics, 2011
Summary: Linear systems of ordinary differential equations with an identically singular or rectangular matrix multiplying the derivative of the unknown vector function are numerically solved by applying the least squares method and Tikhonov regularization.
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