Hamiltonian and Variational Linear Distributed Systems [PDF]
, 2002 We use the formalism of bilinear- and quadratic differential forms in order to study Hamiltonian and variational linear distributed systems. It was shown in [1] that a system described by ordinary linear constant-coefficient differential equations is ...
Rapisarda, Paolo, Trentelman, Harry L.
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Calculation of special functions arising in the problem of diffraction by a dielectric ball
Discrete and Continuous Models and Applied Computational Science, 2021 To apply the incomplete Galerkin method to the problem of the scattering of electromagnetic waves by lenses, it is necessary to study the differential equations for the field amplitudes. These equations belong to the class of linear ordinary differential
Ksaverii Yu. Malyshev
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Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations [PDF]
, 2017 We are concerned with the efficient implementation of symplectic implicit Runge-Kutta (IRK) methods applied to systems of (non-necessarily Hamiltonian) ordinary differential equations by means of Newton-like iterations.
Antoñana, Mikel +2 more
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Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems [PDF]
, 2018 We are interested in high-order linear multistep schemes for time discretization of adjoint equations arising within optimal control problems. First we consider optimal control problems for ordinary differential equations and show loss of accuracy for ...
Albi, Giacomo +2 more
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Mixed Order Systems of Ordinary Linear Differential Equations
Rocky Mountain Journal of Mathematics, 2006 The paper deals with systems of higher mixed order differential equations and respective boundary value problems. The possibility of eigenfunction expansions is discussed. The attention is focused on the case when systems have constant coefficients and are equivalent to first order systems. Two problems are treated in particular.
Koné, Siaka, Móller, Manfred
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Implementing Runge-Kutta Method of Sixth-Order for Numerical Solution of Fuzzy Differential Equations [PDF]
مجلة التربية والعلم, 2023 The article talks about the increasing importance of the practical use of fuzzy differential equations in modeling complex problems in various fields, such as science and engineering, as these differential equations allow for obtaining accurate results ...
Marwa Alsafar, Kais Ibraheem
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Integrability of planar polynomial differential systems through linear differential equations [PDF]
, 2005 In this work, we consider rational ordinary differential equations dy/dx = Q(x,y)/P(x,y), with Q(x,y) and P(x,y) coprime polynomials with real coefficients.
Giacomini, Héctor +2 more
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Asymptotic Behavior of Systems of Linear Ordinary Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1984 Conditions will be placed on the m × m m \times m matrices G ( t ) G(t) and G i ( t ) {G_i}(t) to assure that for any integer k = 1 ,
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Identifiability analysis of linear ordinary differential equation systems with a single trajectory
Applied Mathematics and Computation, 2022 Ordinary differential equations (ODEs) are widely used to model dynamical behavior of systems. It is important to perform identifiability analysis prior to estimating unknown parameters in ODEs (a.k.a. inverse problem), because if a system is unidentifiable, the estimation procedure may fail or produce erroneous and misleading results. Although several
Xing Qiu +3 more
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Partial Differential Equations in Applied Mathematics, 2023 Many applications and natural phenomena in the fields of physics and engineering are described by ordinary and partial differential equations. Therefore, obtaining solutions to these equations helps to analyze and understand the dynamics of these systems,
Marwan Alquran
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