Results 21 to 30 of about 2,648,464 (290)
LIE ALGEBRAIC DISCRETIZATION OF DIFFERENTIAL EQUATIONS [PDF]
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
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On algebraic integrals of a differential equation
We consider the problem of integrating a given differential equation in algebraic functions, which arose together with the integral calculus, but still is not completely resolved in finite form.
Mikhail D Malykh +2 more
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Controllability of switched differential–algebraic equations [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ferdinand Küsters +2 more
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Algebraic structure of space and field
We investigate an algebraic structure of the space of solutions of autonomous nonlinear differential equations of certain type. It is shown that for these equations infinitely many binary algebraic laws of addition of solutions exist.
Z. Z. Khukhunashvili +1 more
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Generalized Derivatives of Differential–Algebraic Equations [PDF]
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Peter G. Stechlinski, Paul I. Barton
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Pseudotransient Continuation and Differential-Algebraic Equations [PDF]
The authors present a globally convergent method for semi-explicit index-1 differential-algebraic equations (DAEs) given by an iteration procedure. Pseudotransient continuation is a practical technique for globalizing the computation of steady-state solutions of nonlinear differential equations and is applied here to DAEs.
Todd S. Coffey +2 more
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A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]
Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga +14 more
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Phenomenological rate-independent uniaxial hysteretic models: A mini-review
A great variety of phenomenological models has been proposed over the years to model rate-independent hysteretic forces in structural mechanics. The classification of such models is usually based on the type of equation that needs to be solved to ...
Raffaele Capuano +2 more
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On differential–algebraic equations in infinite dimensions [PDF]
We consider a class of differential-algebraic equations (DAEs) with index zero in an infinite dimensional Hilbert space. We define a space of consistent initial values, which lead to classical continuously differential solutions for the associated DAE.
Trostorff, Sascha, Waurick, Marcus
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Solving inverse non-linear fractional differential equations by generalized Chelyshkov wavelets
The purpose of this research is to employ a method involving Chelyshkov wavelets to construct a numerical solution to the inverse problem of determining the right-hand side function of a non-linear fractional differential equation by utilizing over ...
Sertaç Erman, Ali Demir, Ebru Ozbilge
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