Results 221 to 230 of about 10,664 (261)
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Solutions of Linear Differential Algebraic Equations
SIAM Review, 1998Summary: The authors show how to solve inhomogeneous linear differential algebraic systems with constant coefficients.
Mazi Shirvani, Joseph W.-H. So
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Differential-Algebraic Equations
Oberwolfach Reports, 2007The topic of Differential Algebraic Equations (DAEs) began to attract significant research interest in applied and numerical mathematics in the early 1980's. Today, a quarter of a century later, DAEs are an independent field of research, which is gaining in importance and becoming of increasing interest for both applications and mathematical theory.
Stephen L. Campbell +3 more
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Structural analysis of integro-differential–algebraic equations
Journal of Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Reza Zolfaghari +2 more
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Differential-Algebraic Equations: A Tutorial Review
International Journal of Bifurcation and Chaos, 1998This article (Funded by EPSRC and the National Grid Company.) explores some introductory principles of differential-algebraic equations (DAEs) and makes a connection with the theory of dynamical systems. Some results which are new in the field of DAEs are also surveyed.
Beardmore, R. E., Song, Y. H.
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The Regularization of Linear Differential-Algebraic Equations
SIAM Journal on Mathematical Analysis, 1996Summary: Differential-algebraic equations naturally arise in numerous important applied contexts, e.g., electrical circuits, constrained dynamical motion and fluid dynamics. The authors show how the structures of the solution space for some typical problems can be illuminated through the introduction of various regularizations which often can be given ...
Kalachev, Leonid V. +1 more
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Differential Algebraic Equations
2017This chapter documents how to formulate and solve optimization problems with differential and algebraic equations (DAEs). The pyomo.dae package allows users to easily incorporate detailed dynamic models within an optimization framework and is flexible enough to represent a wide variety of differential equations.
William E. Hart +6 more
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Differential — Algebraic Equations
2003Differential — algebraic equations (DAE) differ from other problems with solutions given by smooth and continuous parametric sets. They combine specifics of the nonlinear algebraic or transcendental equations with those of ODE. Correct formulation of the Cauchy problem for such equations requires solution of a system of nonlinear equations.
V. I. Shalashilin, E. B. Kuznetsov
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On the Solvability of Impulsive Differential-Algebraic Equations
Ukrainian Mathematical Journal, 2005Summary: We establish theorems on the existence and uniqueness of a solution of the impulsive differential-algebraic equation. The results are applied to the theory of electric circuits.
Vlasenko, L. A., Perestyuk, N. A.
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Regularization of Nonlinear Differential-Algebraic Equations
SIAM Journal on Mathematical Analysis, 1994Summary: 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. +1 more
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The Transfer Matrix of Differential-Algebraic Equations
Siberian Mathematical Journal, 2022This paper is devoted to the study of the transfer function of linear differential-algebraic equations. The author considers the system \[ \begin{aligned} A\frac{d}{dt} x(t) + Bx(t)+ Uu(t)=&0,\quad t\in T=[0,\infty) \\ y(t)=Cx&(t), \end{aligned}\tag{1} \] with some known real \(n \times n\) matrices \(A\) and \(B\), such that \(\mathrm{det} A = 0\), an
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