Results 11 to 20 of about 1,301,854 (405)
Index Concepts for Differential-Algebraic Equations
, 2015 We discuss several of different index concepts for differential-algebraic equation (differentiation, strangeness, tractability, geometric, perturbation, and structural index) and analyze their relationship.
V. Mehrmann
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Switched Differential Algebraic Equations [PDF]
, 2012 In this chapter, an electrical circuit with switches is modelled as a switched differential algebraic equation (switched DAE), i.e. each mode is described by a DAE of the form Ex′=Ax+Bu where E is, in general, a singular matrix and u is the input. The resulting time-variance follows from the action of the switches present in the circuit, but can also ...
Stephan Trenn
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Numerical solution to Volterra integro-differential equations using collocation approximation [PDF]
Mathematics and Computational Sciences, 2023 This paper considers the collocation method for the numerical solution of the Volterra integro- differential equation using polynomial basis functions.
Ganiyu Ajileye, Sikiru Amoo
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Singularities of algebraic differential equations [PDF]
Advances in Applied Mathematics, 2021 There exists a well established differential topological theory of singularities of ordinary differential equations. It has mainly studied scalar equations of low order. We propose an extension of the key concepts to arbitrary systems of ordinary or partial differential equations.
Matthias Seiß +3 more
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Numerical differential continuation approach for systems of nonlinear equations with singular Jacobian [PDF]
AUT Journal of Mathematics and Computing, 2022 It is well known that, one of the useful and rapid methods for a nonlinear system of algebraic equations is Newton’s method. Newton’s method has at least quadratic convergence when the Jacobian is a nonsingular matrix in a neighborhood of the solution ...
Mohammad Ali Mehrpouya
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Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers [PDF]
ACM Transactions on Mathematical Software, 2020 In recent years, the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers (SUNDIALS) has been redesigned to better enable the use of application-specific and third-party algebraic solvers and data structures.
D. J. Gardner +3 more
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Differential Algebraic Equations [PDF]
, 2021 AbstractLet H be a Hilbert space and $$\nu \in \mathbb {R}$$ ν ∈ ℝ . We saw in the previous chapter how initial value problems can be formulated within the framework of evolutionary equations.
Christian Seifert +2 more
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Modified Extended Lie-Group Method for Hessenberg Differential Algebraic Equations with Index-3
Mathematics, 2023 Hessenberg differential algebraic equations (Hessenberg-DAEs) with a high index play a critical role in the modeling of mechanical systems and multibody dynamics.
Juan Tang, Jianguang Lu
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African Scientific Reports, 2022 This paper consider collocation approach for the numerical solution of Volterra-Fredholm Integro-differential equation using collocation method. We transformed the problem into a system of linear algebraic equations and matrix inversion is adopted to ...
G. Ajileye, F. A. Aminu
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Differential Equivalence for Linear Differential Algebraic Equations [PDF]
IEEE Transactions on Automatic Control, 2022 Differential-algebraic equations (DAEs) are a widespread dynamical model that describes continuously evolving quantities defined with differential equations, subject to constraints expressed through algebraic relationships. As such, DAEs arise in many fields ranging from physics, chemistry, and engineering.
Stefano Tognazzi +3 more
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