Towards a reliable implementation of least-squares collocation for higher index differential-algebraic equations—Part 2: the discrete least-squares problem [PDF]
, 2021 Michael Hanke, Roswitha März
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On solving system of differential-algebraic equations using adomian decomposition method. [PDF]
F1000Res, 2023 Thota S, P S.
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Galois Theory of Parameterized Differential Equations and Linear Differential Algebraic Groups
, 2005 We present a Galois theory of parameterized linear differential equations where the Galois groups are linear differential algebraic groups, that is, groups of matrices whose entries are functions of the parameters and satisfy a set of differential ...
Cassidy, Phyllis J., Singer, Michael F.
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An Integro-Differential Structure for Dirac Distributions
, 2018 We develop a new algebraic setting for treating piecewise functions and distributions together with suitable differential and Rota-Baxter structures. Our treatment aims to provide the algebraic underpinning for symbolic computation systems handling such ...
Rosenkranz, Markus, Serwa, Nitin
core
Carleman linearization of differential-algebraic equations systems
Results in Applied MathematicsCarleman linearization is a mathematical technique that transforms nonlinear dynamical systems into infinite-dimensional linear systems, enabling simplified analysis.
Marcos A. Hernández-Ortega +3 more
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Transformation methods for differential-algebraic equations [PDF]
, 1990 E. Griepentrog
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Analytical solution of a class of coupled second order differential-difference equations
International Journal of Mathematics and Mathematical Sciences, 1993 In this paper coupled systems of second order differential-difference equations are considered. By means of the concept of co-solution of certain algebraic equations associated to the problem, an analytical solution of initial value problems for coupled ...
L. Jódar, J. A. Martin Alustiza
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Index reduction of differential algebraic equations by differential algebraic elimination
, 2015 19 pages ...
Qin, Xiaolin +4 more
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A New Block Structural Index Reduction Approach for Large-Scale Differential Algebraic Equations [PDF]
, 2020 Juan Tang, Yongsheng Rao
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