Results 21 to 30 of about 1,347,601 (289)
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, P. +5 more
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GRACETOOLS—GRACE Gravity Field Recovery Tools
Geosciences, 2018 This paper introduces GRACETOOLS, the first open source gravity field recovery tool using GRACE type satellite observations. Our aim is to initiate an open source GRACE data analysis platform, where the existing algorithms and codes for working with ...
Neda Darbeheshti +4 more
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Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations
Journal of Taibah University for Science, 2020 In this paper, modified variational iteration algorithm-II is investigated for finding approximate solutions of nonlinear Parabolic equations. Comparisons of the MVIA-II with trigonometric B-spline collocation method, variational iteration method ...
Hijaz Ahmad +3 more
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Numerical integration of variational equations [PDF]
Mathematics of Computation, 1967 Introduction. In solving a system of algebraic equations it is well known that the problem is much simpler if the equations are linear. In solving a system of differential equations, one usually does not really care if the equations are linear or not, even though a simplification is possible in the linear case; namely by observing that in a predictor ...
Riley, James D. +2 more
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Results in Control and Optimization, 2022 In this paper, we consider a class of set-valued implicit quasi-variational inequalities in real Banach spaces and show its equivalence with a class of fixed point equations and a class of Wiener–Hopf equations.
Mudasir A. Malik +2 more
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Herglotz type conservation laws for nonconservative nonholonomic systems
AIP Advances, 2023 The Herglotz variational principle offers an effective method for studying nonconservative system dynamics. The aim of this paper is to study the conservation laws of nonholonomic systems by using the Herglotz type generalized variational principle and ...
Xinchang Dong, Yi Zhang
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Control variational methods for differential equations [PDF]
, 2000 We review recent results established in the literature via the optimal control approach to differential equations, and we show that a systematic study of general variational inequalities associated to fourth-order operators can be performed by similar ...
Sprekels, Jürgen +3 more
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Novel Evaluation of the Fractional Acoustic Wave Model with the Exponential-Decay Kernel
Complexity, 2022 This study employs a newly developed methodology called the variational homotopy perturbation transformation method to study fractional acoustic wave equations. The motivation for this study is to extend the variational homotopy perturbation technique to
Rabab Alyusof +3 more
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Journal of Applied Mathematics, 2012 Very recently, Ahmad and Yao (2009) introduced and considered a system of generalized resolvent equations with corresponding system of variational inclusions in uniformly smooth Banach spaces.
Lu-Chuan Ceng, Ching-Feng Wen
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Variations on the Brocard–Ramanujan equation
Journal of Number Theory, 2013 In [\textit{Paul} and \textit{Maréchal}, Nouv. Ann. (2) 15, 286--287 (1876; JFM 08.0330.01)] and [\textit{H. Brocard}, Nouv. Ann. Math. (3) 4, 291 (1885)], the following problem was posed: \textit{Pour quelles valeurs du nombre entier \(x\) l'expression} \[ 1\cdot 2\cdot 3\cdot 4\cdots x +1 \] \textit{est-elle un carré parfait?} In 1913, Ramanujan ...
Dąbrowski, Andrzej, Ulas, Maciej
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