Explicit Convergence Rate of a Distributed Alternating Direction Method of Multipliers [PDF]
IEEE Transactions on Automatic Control, 2016 Consider a set of N agents seeking to solve distributively the minimization problem $\inf_{x} \sum_{n = 1}^N f_n(x)$ where the convex functions $f_n$ are local to the agents. The popular Alternating Direction Method of Multipliers has the potential to handle distributed optimization problems of this kind.
Franck Iutzeler +3 more
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A leapfrog alternating-direction hybrid implicit-explicit FDTD method [PDF]
2017 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, 2017 A novel curl splitting technique is proposed that makes the leapfrog ADI-FDTD method better equipped for configurations requiring a higher resolution in only one or two dimensions. The proposed method, which is given the name “leapfrog ADHIE-FDTD”, hybridizes implicit and explicit update equations such that the time step is solely bounded by the ...
Van Londersele, Arne +2 more
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Journal of Computational and Applied Mathematics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pieter Decleer +3 more
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Using the two-way nesting technique AGRIF with MARS3D V11.2 to improve hydrodynamics and estimate environmental indicators [PDF]
Geoscientific Model Development, 2023 In the ocean, mesoscale or submesoscale structures and coastal processes are associated with fine scales. The simulation of such features thus requires the hydrodynamic equations to be solved at high-resolution (from a few hundred meters down to a few ...
S. Petton +4 more
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A fully distributed method for distributed multiagent system in a microgrid
Energy Reports, 2021 We address the distributed energy management problem of the economic dispatch of grids in order to balance the power demand and supply. By manipulating the primal problem, we show that the resulting dual problem can be solved by using a decentralized ...
Diyako Ghaderyan +2 more
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Numerical Solution to the Fluid Flow in a Bend Duct Equation [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2008 The Fluid Flow in a bend Duct equation had been solved numerically by using two methods. The first is ADE (Alternating Direction Explicit) method and the second is ADI (Alternating Direction Implicit) method.
Badran Salem
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Alternating Direction Implicit Method for Solving Parabolic Partial Differential Equations in Three Dimensions [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2012 In this paper, the parabolic partial differential equations in three-dimensions are solved by two types of finite differences, such as, Alternating Direction Explicit (ADE) method and Alternating Direction Implicit (ADI) method.
Abdulghafor Al-Rozbayani, Mahmood Yahya
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Comparison of Finite Difference Solution Methods for Reaction Diffusion System in Two Dimensions [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2011 In this paper, we study three types of finite difference methods, to find the numerical solution of reaction difference systems of PDEs in two dimensions.
Abbas Al-Bayati +2 more
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A Leapfrog alternating-direction hybrid implicit-explicit FDTD method for local grid refinement [PDF]
, 2017 De Zutter, Daniël +2 more
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Alternating Directions Implicit Method for Solving Homogeneous Heat Diffusion Equation
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2020 An Alternating Directions Implicit method is presented to solve the homogeneous heat diffusion equation when the governing equation is a bi-harmonic equation (X) based on Alternative Direction Implicit (ADI).
Bushra Sh. Mahmood +2 more
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