Results 121 to 130 of about 9,730 (163)
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Solvability of General Differential Algebraic Equations
SIAM Journal on Scientific Computing, 1995Summary: In the last few years there has been considerable research on differential algebraic equations (DAE) \(f(t,x,x') = 0\) where \(f_{x'}\) is identically singular. Most of this effort has focused on computing a solution that is assumed to exist. That is, the DAE is assumed solvable.
Stephen L. Campbell, E. Griepentrog
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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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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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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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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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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
2012In Chaps. 2 and 3 we were concerned mainly with the numerical solution of ordinary differential equations of the form y′ = f(x, y). However, there are problems which are more general than this and require special methods for their solution. One such class of problems are differential algebraic equations (DAEs).
Karline Soetaert +2 more
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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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