Results 81 to 90 of about 253,757 (236)

Rosenbrock methods for Differential Algebraic Equations

Numerische Mathematik, 1987
This paper deals with the numerical solution of differential algebraic equations (DAE) of index one. It begins with the development of a general theory on the Taylor expansion for the exact solutions of these problems, which extends the well known theory of Butcher for first order ordinary differential equations to DAE's of index one. As an application,
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Boundary value problems for systems of non-degenerate difference-algebraic equations

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2019
The study of differential-algebraic boundary value problems was initiated in the works of K. Weierstrass, N.N. Luzin and F.R. Gantmacher. Systematic study of differential-algebraic boundary value problems is devoted to the work of S.
Sergey Chuiko, Yaroslav Kalinichenko, Mykyta Popov   +2 more
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Differential/Algebraic Equations As Stiff Ordinary Differential Equations

SIAM Journal on Numerical Analysis, 1992
To a system of differential algebraic equations: \[ \text{(DAE)}\quad y'(t)=f(t,y(t),z(t),0),\quad g(t,y(t),z(t),0)=0, \] a system of singularly perturbed ordinary differential equations: \[ \text{(ODE)}\quad y_ \varepsilon'(t)=f(t,y_ \varepsilon(t),z_ \varepsilon(t),\varepsilon), \varepsilon z_ \varepsilon'(t)=g(t,y_ \varepsilon(t),z_ \varepsilon(t ...
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Aspects of derivative causality in bond-graph models

MATEC Web of Conferences, 2017
The bond-graph method used in the analysis of system dynamics problems leads to a system containing a number of differential equations equal to the number of energy storing elements in integral causality and a number of algebraic equations equal to the ...
Ibănescu Radu, Ibănescu Mihaela
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Correction to: Lagrange Stability and Instability of Irregular Semilinear Differential-Algebraic Equations and Applications [PDF]

, 2019
Maria Filipkovska
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DIFFERENTIAL EQUATION SIMULATION IN CALCULATION OF LATERAL AND TRANSVERSE-LONGITUDINAL BENDING OF FRAME STRUCTURES WITHOUT AND WITH DUE ACCOUNT OF VISCOELASTIC MATERIAL PROPERTIES

Наука и техника, 2012
The paper reveals a brand-new direction in simulation of frame and continual structures while calculating static and dynamic loads and stability.  An electronic model has been synthesized  for an investigated object and then it has been analyzed not with
V. M. Ovsianko
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A data-driven optimization algorithm for differential algebraic equations with numerical infeasibilities. [PDF]

AIChE J, 2020
Beykal B, Onel M, Onel O, Pistikopoulos EN.   +3 more
europepmc   +1 more source

Power System Differential-Algebraic Equations

, 2015
4 pages. For researchers in power systems or control field who want to simulate the power system dynamics, this document gives details about the power system differential-algebraic equations and an example on the IEEE 9-bus power ...
Wang, Bin, Liu, Yang, Sun, Kai
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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, Hector Vazquez-Leal, Arturo Sarmiento-Reyes   +2 more
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Exotic PDE's

, 2011
In the framework of the PDE's algebraic topology, previously introduced by A. Pr\'astaro, are considered {\em exotic differential equations}, i.e., differential equations admitting Cauchy manifolds $N$ identifiable with exotic spheres, or such that their
Prástaro, Agostino
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