Differential Algebraic Equations [PDF]
EMS Textbooks in Mathematics, 2006 Workshop ...
Peter Kunkel, Volker Mehrmann
semanticscholar +6 more sources
A data-driven optimization algorithm for differential algebraic equations with numerical infeasibilities. [PDF]
AIChE J, 2020 Support Vector Machines (SVMs) based optimization framework is presented for the data-driven optimization of numerically infeasible Differential Algebraic Equations (DAEs) without the full discretization of the underlying first-principles model.
Beykal B +3 more
europepmc +2 more sources
Differential Algebraic Equations [PDF]
Pyomo — Optimization Modeling in Python, 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
semanticscholar +3 more sources
Asymptotic integration of linear differential-algebraic equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 This paper is concerned with the asymptotic behavior of solutions of linear differential-algebraic equations with asymptotically constant coefficients. Some results of asymptotic integration which are well known for ordinary differential equations (ODEs)
Vu Hoang Linh, Nguyen Tuan
doaj +5 more sources
LIE ALGEBRAIC DISCRETIZATION OF DIFFERENTIAL EQUATIONS [PDF]
Modern Physics Letters A, 1995 A certain representation for the Heisenberg algebra in finite difference operators is established. The Lie algebraic procedure of discretization of differential equations with isospectral property is proposed. Using sl 2-algebra based approach, (quasi)-exactly-solvable finite difference equations are described.
Smirnov, Yuri, Turbiner, Alexander
openaire +3 more sources
Differential equations for algebraic functions [PDF]
Proceedings of the 2007 international symposium on Symbolic and algebraic computation, 2007 It is classical that univariate algebraic functions satisfy linear differential equations with polynomial coefficients. Linear recurrences follow for the coefficients of their power series expansions. We show that the linear differential equation of minimal order has coefficients whose degree is cubic in the degree of the function.
Bostan, Alin +4 more
openaire +12 more sources
Modified Reduced Differential Transform Method for Partial Differential-Algebraic Equations
Journal of Applied Mathematics, 2014 This work presents the application of the reduced differential transform method (RDTM) to find solutions of partial differential-algebraic equations (PDAEs).
Brahim Benhammouda +2 more
doaj +2 more sources
On Solvability of Dissipative Partial Differential-Algebraic Equations [PDF]
IEEE Control Systems Letters, 2022 We investigate the solvability of infinite-dimensional differential algebraic equations. Such equations often arise as partial differential-algebraic equations (PDAEs).
B. Jacob, K. Morris
semanticscholar +1 more source
DAE-PINN: a physics-informed neural network model for simulating differential algebraic equations with application to power networks [PDF]
Neural computing & applications (Print), 2021 Deep learning-based surrogate modeling is becoming a promising approach for learning and simulating dynamical systems. However, deep-learning methods find it very challenging to learn stiff dynamics.
Christian Moya, Guang Lin
semanticscholar +1 more source
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
doaj +1 more source