An efficient multistep iteration scheme for systems of nonlinear algebraic equations associated with integral equations
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6202
Abstract: The aim of this research is to present a new iterative procedure in approximating nonlinear system of algebraic equations with applications in integral equations as well as partial differential equations (PDEs). The presented scheme consists… read more here.
Keywords: scheme systems; multistep iteration; efficient multistep; iteration scheme ... See more keywords
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
Sign Up to like & getrecommendations! Published in 2019 at "BIT Numerical Mathematics"
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
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Dynamics and Differential Equations"
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
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
On stabilizability of switched differential algebraic equations
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
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
Sign Up to like & getrecommendations! Published in 2020 at "IFAC-PapersOnLine"
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
Nonsmooth Hessenberg differential-algebraic equations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
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
Numerical solution of some systems of nonlinear algebraic equations
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Interdisciplinary Mathematics"
DOI: 10.1080/09720502.2020.1833462
Abstract: Abstract The problem of numerical solution of systems of nonlinear algebraic equations with even powers is studied in this paper. Nondifferentiable (nonsmooth) unconstrained minimization problems are associated with the system under consideration, with objective functions,… read more here.
Keywords: numerical solution; nonlinear algebraic; unconstrained minimization; systems nonlinear ... See more keywords
What Can a Response Pattern Analysis Reveal about Learners’ Performance on Arithmetic Equivalences and Algebraic Equations?
Sign Up to like & getrecommendations! Published in 2020 at "Africa Education Review"
DOI: 10.1080/18146627.2020.1756862
Abstract: Abstract The transition from arithmetic to algebra is a well-known difficulty in school mathematics. In order to succeed, learners require inter alia a better understanding of algebraic symbols, equality, equations and working with negatives/subtraction. This… read more here.
Keywords: response pattern; pattern analysis; arithmetic equivalences; equivalences algebraic ... See more keywords