Results 251 to 260 of about 2,648,464 (290)

Numerical solution of differential–algebraic equation systems and applications

open access: yesApplied Mathematics and Computation, 2004
In this paper, the method is developed to differential-algebraic equations systems. More effective method is presented and illustrated by numerical example.
Mustafa Bayram, Ercan Çelik
exaly   +2 more sources

Differential Equations in Banach Algebras

Doklady Mathematics, 2020
In a complex Banach algebra \(\mathbb{B}\) the ordinary linear differential equation \[ \mathbf{x}^{(n)} + \mathbf{p}_1\mathbf{x}^{(n-1)} + \dots + \mathbf{p}_{n-1}\dot{\mathbf{x}} + \mathbf{p}_ n \mathbf{x} = 0 \tag{1} \] with constant coefficients is considered.
Perov, A. I., Kostrub, I. D.
openaire   +1 more source

On the Reduction of Differential Equations to Algebraic Equations

SIAM Journal on Mathematical Analysis, 1970
Abstract : Techniques based upon elementary group theory for the reduction of a given system of partial differential equations to a system of differential equations in fewer independent variables are extended in this report. Specifically, the extension is aimed at reducing a given system to a system of algebraic equations. (Author)
Moran, M. J., Gaggioli, R. A.
openaire   +2 more sources

A Differentiation Index for Partial Differential-Algebraic Equations

SIAM Journal on Scientific Computing, 2000
Summary: A differentiation index for nonlinear partial differential-algebraic equations is presented. Determination of the differentiation index with respect to a direction in the space of independent variables uncovers all equations that must be satisfied by the Cauchy data on the hyperplane orthogonal to that direction.
Wade S. Martinson, Paul I. Barton
openaire   +1 more source

On output stabilizability of differential–algebraic equations

Systems & Control Letters, 2022
The author studies output stabilizability of differential-algebraic systems. Two different notions of stability, an asymptotic one and one based on the \(\mathrm{L}^q\)-norm of the output are compared and shown be equivalent. To introduce the use of the main concepts of output injection and the Kalman observability decomposition, the author begins with
openaire   +1 more source

Solvability of General Differential Algebraic Equations

SIAM Journal on Scientific Computing, 1995
Summary: 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
openaire   +3 more sources

Solutions of Linear Differential Algebraic Equations

SIAM Review, 1998
Summary: The authors show how to solve inhomogeneous linear differential algebraic systems with constant coefficients.
Mazi Shirvani, Joseph W.-H. So
openaire   +3 more sources

Differential-Algebraic Equations

Oberwolfach Reports, 2007
The 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
openaire   +1 more source

Differential — Algebraic Equations

2003
Differential — 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
openaire   +1 more source

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