Results 1 to 10 of about 502,063 (155)
Acta Numerica, 2010 In this paper we consider the construction, analysis, implementation and application of exponential integrators. The focus will be on two types of stiff problems. The first one is characterized by a Jacobian that possesses eigenvalues with large negative real parts.
Hochbruck, Marlis, Ostermann, Alexander
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Integration of modules – II: Exponentials [PDF]
Transactions of the American Mathematical Society, 2021 Accepted by Transactions of the AMS. This paper is split off the earlier versions (1, 2 and 3) of arXiv:1708.06620. Some of the statements in these versions of arXiv:1708.06620 contain mistakes corrected here. Version 2 of this paper: close to the accepted version by the journal, minor improvements, compared to Version ...
Dmitriy Rumynin, Matthew Westaway
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Geometric exponential integrators [PDF]
Journal of Computational Physics, 2019 18 pages, 11 ...
Xuefeng Shen, Melvin Leok
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Volume-Preserving Exponential Integrators [PDF]
, 2021 As is known that various dynamical systems including all Hamiltonian systems preserve volume in phase space. This qualitative geometrical property of the analytical solution should be respected in the sense of Geometric Integration. This paper analyses the volume-preserving property of exponential integrators in different vector fields.
Wang, Bin, Wu, Xinyuan
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Discrete complementary exponential and sine integral functions
Demonstratio Mathematica, 2023 Discrete analogues of the sine integral and complementary exponential integral functions are investigated. Hypergeometric representation, power series, and Laplace transforms are derived for each.
Assaf Samer, Cuchta Tom
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Asymptotic Expansion of the Modified Exponential Integral Involving the Mittag-Leffler Function
Mathematics, 2020 We consider the asymptotic expansion of the generalised exponential integral involving the Mittag-Leffler function introduced recently by Mainardi and Masina [Fract. Calc. Appl. Anal. 21 (2018) 1156−1169].
Richard Paris
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Relation of Some Known Functions in terms of Generalized Meijer G-Functions
Journal of Mathematics, 2021 The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions ...
Syed Ali Haider Shah +3 more
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Real-time spin systems from lattice field theory
Journal of High Energy Physics, 2023 We construct a lattice field theory method for computing the real-time dynamics of spin systems in a thermal bath. This is done by building on previous work of Takano with Schwinger-Keldysh and functional differentiation techniques. We derive a Schwinger-
Neill C. Warrington
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Inequalities and pth moment exponential stability of impulsive delayed Hopfield neural networks
Journal of Inequalities and Applications, 2021 In this paper, the pth moment exponential stability for a class of impulsive delayed Hopfield neural networks is investigated. Some concise algebraic criteria are provided by a new method concerned with impulsive integral inequalities.
Yutian Zhang, Guici Chen, Qi Luo
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Degenerate exponential integral function and its properties [PDF]
Arab Journal of Mathematical SciencesPurpose – In this paper, the author introduces a degenerate exponential integral function and further studies some of its analytical properties. The new function is a generalization of the classical exponential integral function and the properties ...
Kwara Nantomah
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