Results 21 to 30 of about 9,385 (270)
Parallel iterative computational methods for 3D finite element flow simulations
Computer Assisted Methods in Engineering and Science, 2023 In this paper we discuss sparse matrix computational methods, and their parallel implementations, for evaluating matrix-vector products in iterative solution of coupled, nonlinear equations encountered in finite element flow simulations. Based on sparse
Vinay Kalro, Tayfun Tezduyar
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Open Mathematics, 2023 Recently, regime-switching option pricing based on fractional diffusion models has been used, which explains many significant empirical facts about financial markets better.
Wu Shuang +3 more
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Journal of Numerical Analysis and Approximation Theory, 2023 Book review for: Gabriele Ciaramella, Martin J. Gander, Iterative Methods and Preconditioners for Systems of Linear Equations, SIAM, Philadelphia, 2022, X + 275 pp., ISBN 978-1-611976-89-2 (paperback), ISBN 978-1-61197-690-8 (ebook).
jnaat
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Block regularization Kaczmarz method
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 This article focuses on the modification of the iterative version of Kaczmarz block algorithm for solving the problem of regularization, which is a fairly effective method for large-scale problems.
Ekaterina Yu Bogdanova
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On single-step HSS iterative method with circulant preconditioner for fractional diffusion equations [PDF]
Advances in Difference Equations, 2019 AbstractBy exploiting Toeplitz-like structure and non-Hermitian dense property of the discrete coefficient matrix, a new double-layer iterative method called SHSS-PCG method is employed to solve the linear systems originating from the implicit finite difference discretization of fractional diffusion equations (FDEs).
Mu-Zheng Zhu, Guo-Feng Zhang, Ya-E Qi
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Robust preconditioners for a new stabilized discretization of the poroelastic equations [PDF]
, 2020 In this paper, we present block preconditioners for a stabilized discretization of the poroelastic equations developed in [45]. The discretization is proved to be well-posed with respect to the physical and discretization parameters, and thus provides a ...
Adler, James H. +5 more
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A comparison theorem for the iterative method with the preconditioner (I+Smax)
Journal of Computational and Applied Mathematics, 2002 The authors propose the preconditioner \(P_m=I+S_{\max}\) where \(S_{\max}\) is contructed by using only the largest element of each row of the upper triangular part of the nonsingular diagonally dominant \(\mathbb Z\)-matrix \(A\), that is, \(S_{\max}=(s_{ij}^m)=-a_{ik_i}\) for \(i=1,2,\ldots,n-1\), \(j>i\), and \(0\) otherwise, where \(k_i=\min j\in\{
Kotakemori, Hisashi +3 more
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An Optimal Block Iterative Method and Preconditioner for Banded Matrices with Applications to PDEs on Irregular Domains [PDF]
SIAM Journal on Matrix Analysis and Applications, 2012 Classical Schwarz methods and preconditioners subdivide the domain of a PDE into subdomains and use Dirichlet transmission conditions at the artificial interfaces. Optimized Schwarz methods use Robin (or higher order) transmission conditions instead, and the Robin parameter can be optimized so that the resulting iterative method has an optimized ...
Gander Martin J. +2 more
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Журнал Белорусского государственного университета: Математика, информатика, 2019 Development of efficient finite difference schemes and iterative methods for solving anisotropic diffusion problems in an arbitrary geometry domain is considered.
Vasily M. Volkov, Alena V. Prakonina
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Computation, 2020 In this paper, we consider the numerical solution of the optimal control problems of the elliptic partial differential equation. Numerically tackling these problems using the finite element method produces a large block coupled algebraic system of ...
Kizito Muzhinji, Stanford Shateyi
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