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Mathematics and Numerics for Balance Partial Differential-Algebraic Equations (PDAEs)

Journal of Scientific Computing, 2020
W. Lambert   +5 more
semanticscholar   +1 more source

Numerical solution of initial-value problems in differential-algebraic equations

Classics in applied mathematics, 1996
K. Brenan, S. Campbell, L. Petzold
semanticscholar   +1 more source

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   +1 more source

Explicit Differential-Algebraic Equations

2020
Federico Milano   +3 more
openaire   +1 more source

Analytic Solutions of Algebraic Differential Equations

SIAM Journal on Mathematical Analysis, 1979
For special polynomials $f_2 (w)$, $f_1 (w)$, $f_0 (w)$ in w with analytic coefficients, the equation $f_2 (w)w'^2 + f_1 (w)w' + f_0 (w) = 0$ has appeared many times in the literature. Frequently, the equation is irreducible, $\deg f_2 = 0$, $\deg f_1 \leqq 2$, $\deg f_0 \leqq 4$, and either $4f_2 f_0 - f_1^2 $ has a multiple root or its degree is ...
openaire   +2 more sources

Regularizations of Differential‐Algebraic Equations Revisited

Mathematische Nachrichten, 1995
AbstractThe present paper deals with quasilinear differential‐algebraic equations with index 2. These equations are approximated by regularization methods. Such methods lead to singularly perturbed differential‐algebraic equations. Using a geometric theory of singular perturbations convergence of the solutions of the regularized problems towards that ...
openaire   +1 more source

System of fractional differential algebraic equations with applications

Chaos, Solitons & Fractals, 2019
B. Shiri, Dumitru Băleanu
semanticscholar   +1 more source

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