Results 11 to 20 of about 6,821,838 (248)
Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers [PDF]
ACM Transactions on Mathematical Software, 2020 In recent years, the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers (SUNDIALS) has been redesigned to better enable the use of application-specific and third-party algebraic solvers and data structures.
D. J. Gardner +3 more
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Growth of Solutions of Homogeneous Differential–Difference Equations
Computer Sciences & Mathematics Forum, 2023 In this article, we study the growth properties of solutions of homogeneous linear differential–difference equations in the whole complex plane ∑j=0nAjzfjz+cj=0, n∈N+, where cj, j=0,...,n are complex numbers, and Aj(z), j=0, …, n are entire functions of ...
Hakima Lassal, Benharrat Belaϊdi
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AIMS Mathematics, 2022 The basic objective of this paper is to utilize the factorization technique method to derive several properties such as, shift operators, recurrence relation, differential, integro-differential, partial differential expressions for Gould-Hopper-Frobenius-
Rabab Alyusof , Mdi Begum Jeelani
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Min-max differential game with partial differential equation
AIMS Mathematics, 2022 In this paper, we are concerned with a min-max differential game with Cauchy initial value problem (CIVP) as the state trajectory for the differential game, we studied the analytical solution and the approximate solution by using Picard method (PM) of ...
Ebrahim. A. Youness +3 more
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Revstat Statistical Journal, 2022 In this paper we present a solution to a second order differential–difference equation that occurs in different contexts, specially in control engineering and finance. This equation leads to an ordinary differential equation, whose homogeneous part is a
Cláudia Nunes +2 more
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Graph Neural Controlled Differential Equations for Traffic Forecasting [PDF]
AAAI Conference on Artificial Intelligence, 2021 Traffic forecasting is one of the most popular spatio-temporal tasks in the field of machine learning. A prevalent approach in the field is to combine graph convolutional networks and recurrent neural networks for the spatio-temporal processing.
Jeongwhan Choi +3 more
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Differential inequality and non-oscillation of fourth order differential equation [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 The oscillatory theory of fourth order differential equations has not yet been developed well enough. The results are known only for the case when the coefficients of differential equations are power functions.
A.A. Kalybay, A.O. Baiarystanov
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Finding the general Solution for some extraordinary Differential Equation [PDF]
مجلة التربية والعلم, 2008 This paper has a dual purpose. One purpose is to introduce a method consists of repeatedly applying Riemann-Liouville operator of appropriate order until the equation , ( ) , (q is integer) is transformed into an ordinary differential equation.A second ...
Shayma Murad
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A Comparison of Automatic Differentiation and Continuous Sensitivity Analysis for Derivatives of Differential Equation Solutions [PDF]
IEEE Conference on High Performance Extreme Computing, 2018 Derivatives of differential equation solutions are commonly for parameter estimation, fitting neural differential equations, and as model diagnostics. However, with a litany of choices and a Cartesian product of potential methods, it can be difficult for
Christopher Rackauckas +7 more
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Differential Equation Invariance Axiomatization [PDF]
Journal of the ACM, 2019 This article proves the completeness of an axiomatization for differential equation invariants described by Noetherian functions. First, the differential equation axioms of differential dynamic logic are shown to be complete for reasoning about analytic ...
André Platzer, Yong Kiam Tan
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