Operator differential-algebraic equations with noise arising in fluid dynamics
Sign Up to like & getrecommendations! Published in 2017 at "Monatshefte Fur Mathematik"
DOI: 10.1007/s00605-016-0931-z
Abstract: We study linear semi-explicit stochastic operator differential algebraic equations (DAEs) for which the constraint equation is given in an explicit form. In particular, this includes the Stokes equations arising in fluid dynamics. We combine a… read more here.
Keywords: fluid dynamics; differential algebraic; operator differential; arising fluid ... See more keywords
Linear gradient structures and discrete gradient methods for conservative/dissipative differential-algebraic equations
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DOI: 10.1007/s10543-019-00759-2
Abstract: In this paper, the use of discrete gradients is considered for differential-algebraic equations (DAEs) with a conservation/dissipation law. As one of the most popular numerical methods for conservative/dissipative ordinary differential equations, the framework of the… read more here.
Keywords: differential algebraic; methods conservative; conservative dissipative; linear gradient ... See more keywords
Adjoint Pairs of Differential-Algebraic Equations and Their Lyapunov Exponents
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DOI: 10.1007/s10884-015-9474-6
Abstract: This paper is devoted to the analysis of adjoint pairs of regular differential-algebraic equations with arbitrarily high tractability index. We consider both standard form DAEs and DAEs with properly involved derivative. We introduce the notion… read more here.
Keywords: daes; differential algebraic; adjoint pairs; equations lyapunov ... See more keywords
To the issue of a generalization of the matrix differential-algebraic boundary-value problem
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DOI: 10.1007/s10958-017-3571-5
Abstract: We pose a linear matrix differential-algebraic boundary-value problem generalizing the traditional linear boundary-value problems for differential-algebraic equations. We have found the constructive conditions of existence and an algorithm of construction of the solutions of a… read more here.
Keywords: differential algebraic; value; value problem; algebraic boundary ... See more keywords
Asymptotic Integration of Singularly Perturbed Differential Algebraic Equations with Turning Points. Part I
Sign Up to like & getrecommendations! Published in 2021 at "Ukrainian Mathematical Journal"
DOI: 10.1007/s11253-021-01899-x
Abstract: We consider the problem of finding asymptotic solutions to singular perturbed linear differential algebraic equations with simple turning points and propose an algorithm for the construction of these asymptotic solutions. read more here.
Keywords: singularly perturbed; asymptotic integration; differential algebraic; turning points ... See more keywords
A semi-analytical iterative method for solving differential algebraic equations
Sign Up to like & getrecommendations! Published in 2018 at "Ain Shams Engineering Journal"
DOI: 10.1016/j.asej.2017.07.004
Abstract: Abstract This work presents new implementation of an iterative method proposed by Temimi and Ansari namely (TAM) for approximate solutions of differential algebraic equations that arises in many engineering and applied sciences applications. The solution… read more here.
Keywords: analytical iterative; semi analytical; iterative method; differential algebraic ... See more keywords
A Connection Between Strangeness-Free Delay Differential-Algebraic and Neutral Type Systems
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DOI: 10.1016/j.ifacol.2017.08.133
Abstract: Abstract We present an approach that allows to reduce a system of delay differential-algebraic equations to neutral type system with a prescribed additional dynamics. The approach avoids a transformation that divides the system into differential-difference,… read more here.
Keywords: system; neutral type; differential algebraic; strangeness free ... See more keywords
On stabilizability of switched differential algebraic equations
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DOI: 10.1016/j.ifacol.2020.12.2580
Abstract: This paper considers stabilizability of switched differential algebraic equations (DAEs). We first introduce the notion of interval stabilizability and show that under a certain uniformity assumption, stabilizability can be concluded from interval stabilizability. A geometric… read more here.
Keywords: stabilizability; algebraic equations; differential algebraic; stabilizability switched ... See more keywords
Modified Extended Kalman Filtering for Nonlinear Stochastic Differential Algebraic Systems
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DOI: 10.1016/j.ifacol.2020.12.2704
Abstract: Abstract The extended Kalman filter (EKF) is one of the most widely used nonlinear filtering technique for a system of differential algebraic equations (DAEs). In this work we propose an alternate EKF approach for state… read more here.
Keywords: covariance; extended kalman; covariance matrix; algebraic equations ... See more keywords
Differential algebraic description for aberrations analysis of typical electrostatic einzel lens
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DOI: 10.1016/j.ijleo.2018.04.071
Abstract: Abstract In the present paper the modern map method has been used to calculate the third-fifth order geometric aberration, the first-third order chromatic aberration and the Gaussian optical properties for Schiske’s and inverse Schiske’s electrostatic… read more here.
Keywords: analysis typical; description aberrations; aberration; aberrations analysis ... See more keywords
Nonsmooth Hessenberg differential-algebraic equations
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DOI: 10.1016/j.jmaa.2020.124721
Abstract: Abstract Hessenberg differential-algebraic equations (DAEs) of size ν with nonsmooth right-hand side functions are studied. Well-posedness theory established in this article includes consistent initialization robust to parametric perturbations, and local existence and uniqueness of solutions… read more here.
Keywords: theory; hessenberg differential; differential algebraic; nonsmooth hessenberg ... See more keywords