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The implicit Euler scheme for one-sided Lipschitz differential inclusions
Discrete and Continuous Dynamical Systems - Series B, 2010 We propose a set-valued version of the implicit Euler scheme for relaxed one-sided Lipschitz differential inclusions and prove that the defining implicit inclusions have a well-defined solution. Furthermore, we give a convergence analysis based on stability theorems, which shows that the set-valued implicit Euler method inherits all favourable ...
Janosch Rieger
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Implicit scheme for meshless compressible Euler solver
Engineering Applications of Computational Fluid Mechanics, 2015 In this paper, an implicit scheme is presented for a meshless compressible Euler solver based on the Least Square Kinetic Upwind Method (LSKUM). The Jameson and Yoon's split flux Jacobians formulation is very popular in finite volume methodology, which leads to a scalar diagonal dominant matrix for an efficient implicit procedure (Jameson & Yoon, 1987).
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The Euler implicit/explicit scheme for the Boussinesq equations [PDF]
Boundary Value Problems, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tong Zhang, Shunwei Xu
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Semi-implicit Euler–Maruyama scheme for polynomial diffusions on the unit ball
Journal of Mathematical Analysis and Applications, 2023 19 pages, 10 ...
Dai Taguchi, Takuya Nakagawa
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MathematicsIn this paper, we focus on fractional stochastic differential equations (FSDEs) with a stochastic forcing term, i.e., to FSDE, we add a stochastic forcing term. Using the implicit scheme of Euler’s approximation, the conditions for the existence and uniqueness of the solution of FSDEs with a stochastic forcing term are established.
Kestutis Kubilius
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On the Euler implicit/explicit iterative scheme for the stationary Oldroyd fluid
Numerical Methods for Partial Differential Equations, 2018 In this article, we consider the stationary Oldroyd fluid equations from the large time behavior research of the nonstationary equations. Thus, to obtain its numerical solution, we first solve the nonstationary Oldroyd fluid equations via the Euler implicit/explicit finite element method with the integral term discretized by the right‐hand rectangle ...
Yinnian He
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Longtime behavior of a semi-implicit scheme for Caginalp phase-field model
Results in Applied Mathematics, 2021 We present a semi-implicit scheme for the Caginalp phase-field model. The scheme is a combination of implicit Euler scheme together with Eyre’s decomposition.
Mouhamadou Samsidy Goudiaby +1 more
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Mittag-Leffler Euler ∇-differences for Caputo fractional-order systems
Results in Physics, 2022 Exponential Euler differences have got rapid development recently for integer-order differential equations. But there are few papers focusing on this difference to fractional differential equations.
Tianwei Zhang, Yongkun Li, Jianwen Zhou
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Geosciences, 2021 This study compares the efficiency of 3-D transient electromagnetic forward modeling schemes on the multi-resolution grid for various modeling scenarios. We developed time-domain finite-difference modeling based on the explicit scheme earlier.
Jingyu Gao +3 more
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Partial Differential Equations in Applied Mathematics, 2023 This paper presents a uniformly convergent numerical scheme for singularly perturbed fractional order convection–diffusion equations with variable coefficients. First, the time-fractional derivative is considered in the Caputo sense and treated using the
Worku Tilahun Aniley +1 more
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