Results 301 to 310 of about 240,101 (314)

On differential algebraic equations with discontinuities [PDF]

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1992
Many of the differential algebraic equations (DAEs) that arise in control problems take the form \(A(z,u)z'=f_ 1(z,u)\), \(0=f_ 2(z,u)\), \(z(0)=z_ 0\) where \(A\) is singular but has constant rank. This paper examines what the response of the state should be if the control \(u\) has a jump discontinuity at a time \(t_ 0\).
U. Pallaske, L. Brüll
openaire   +1 more source

Some of the next articles are maybe not open access.

Related searches:

Algebraic solutions of algebraic differential equations

Applied Mathematics-A Journal of Chinese Universities, 2005
The author gives a condition under which a second-order algebraic differential equation has an algebraic solution. Let \(a_0\dots, a_p\), \(b_0,\dots, q\) be nonzero entire functions of one variable such that they have a finite number of poles and without common zero, and consider the following equation: \[ (w'')^n= \Biggl(\sum^p_{i=0} a_i(z) w^i\Biggr)
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, Linda R. Petzold, Roswitha März, Peter Rentrop   +3 more
openaire   +2 more sources

Differential Equations in Algebras

2008
The aim of this work is to investigate how topological and dynamical properties of differential equations (in the sequel DE) are reflected in the associated algebras, as well as to show how basic algebraic concepts provide valuable insights in DE.
openaire   +2 more sources

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.
E. B. Kuznetsov, V. I. Shalashilin
openaire   +2 more sources

Differential Algebraic Equations

2017
This 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.
David L. Woodruff, William E. Hart, Jean-Paul Watson, Carl D. Laird, Bethany L. Nicholson, John Daniel Siirola, Gabriel A. Hackebeil   +6 more
openaire   +2 more sources

Differential Algebraic Equations

2012
In 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, Jeff Cash, Francesca Mazzia   +2 more
openaire   +2 more sources

Differential-Algebraic Equations

2016
In this chapter, we introduce the differential algebraic equations which we abbreviate as DAEs. DAEs arise in a variety of applications such as modelling constrained multibody systems, electrical networks, aerospace engineering, chemical processes, computational fluid dynamics, gas transport networks, see [10–12, 35].
Nicodemus Banagaaya, Wil H. A. Schilders, Giuseppe Alì   +2 more
openaire   +2 more sources

Differential-Algebraic Systems as Differential Equations on Manifolds [PDF]

Mathematics of Computation, 1984
Based on the theory of differential equations on manifolds, existence and uniqueness results are proved for a class of mixed systems of differential and algebraic equations as they occur in various applications. Both the autonomous and nonautonomous case are considered.
openaire   +1 more source

Algebraic Differential Equations

2017
One of the most difficult problems in the theory of Algebraic Differential Equations is to decide whether or not the solutions are meromorphic in the plane. In case this question has been answered satisfactorily, which by experience requires particular strategies adapted to the equations under consideration, there remain several major problems to be ...
openaire   +2 more sources