Results 61 to 70 of about 9,730 (163)

A Flow-on-Manifold Formulation of Differential-Algebraic Equations [PDF]

Journal of Dynamics and Differential Equations, 2015
We derive a flow formulation of differential-algebraic equations (DAEs), implicit differen-tial equations whose dynamics are restricted by algebraic constraints. Using the framework ofderivatives arrays and the strangeness-index, we identify the systems that are uniquely solv-able on a particular set of initial values and thus possess a flow, the ...
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Hamiltonian and recursion operators for a discrete analogue of the Kaup-Kupershmidt equation [PDF]

Open Communications in Nonlinear Mathematical Physics
In this paper we study the algebraic properties of a new integrable differential-difference equation. This equation can be seen as a deformation of the modified Narita-Itoh-Bogoyavlensky equation and has the Kaup-Kupershmidt equation in its continuous ...
Edoardo Peroni, Jing Ping Wang
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Algebroid Solutions of Second Order Complex Differential Equations

Abstract and Applied Analysis, 2014
Using value distribution theory and maximum modulus principle, the problem of the algebroid solutions of second order algebraic differential equation is investigated. Examples show that our results are sharp.
Lingyun Gao, Yue Wang
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Exchange effects in composite-particle interaction

EPJ Web of Conferences, 2012
Algebraic version of the orthogonality conditions model is developed by analogy with the algebraic version of the resonating group model. It is shown that all exchange terms excluding ones originated by the exchange kernel of the potential energy can be ...
Tchuvil’sky Yu. M., Igashov S. Yu.
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Grobner Bases for Nonlinear DAE Systems of Analog Circuits [PDF]

Computer Science Journal of Moldova, 2008
Systems of differential equations play an important role in modelling and analysis of many complex systems e.g. in electronics and mechanics. The following article is concerned with a symbolic analysis approach for reduction of the differential index of ...
Silke J. Spang
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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.
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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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Differential-algebraic equations

Scholarpedia, 2008
Stephen L. Campbell, Vu Hoang Linh, Linda R. Petzold   +2 more
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An Effective Numerical Scheme for Fractional Integro-Differential Equation Systems Using Hermite Wavelets

Fractal and Fractional
Numerous mathematical models, such as elasticity, nuclear reactor dynamics, and heat conduction in memory materials, use systems of fractional integro-differential equations, or FIDEs.
Arzu Turan Dincel, Sadiye Nergis Tural Polat   +1 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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