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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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International Journal of Antennas and Propagation, 2017 This document presents a technique for the generation of Sparse Inverse Preconditioners based on the near field coupling matrices of Method of Moments simulations where the geometry has been partitioned in terms of regions.
Carlos Delgado +2 more
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A splitting preconditioner for the incompressible navier–stokes equations
Mathematical Modelling and Analysis, 2013 In this paper, a splitting preconditioner based on the relaxed dimensional factorization (RDF) preconditioner and the modified augmented Lagrangian (MAL) preconditioner for the incompressible Navier–Stokes equations is presented.
Ze-Jun Hu, Ting-Zhu Huang, Ning-Bo Tan
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Accelerating the Convergence of Multiphase Flow Simulations when Employing Non-Uniform Structured Grids [PDF]
Journal of Applied and Computational Mechanics, 2021 Non-uniform grids inevitably arise in multiphase flow simulation scenarios due to the need to resolve near-wall phenomena and/or large L/D ratios associated with the reactor configuration.
Gautham Krishnamoorthy +2 more
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A dimension expanded preconditioning technique for block two-by-two linear equations
Demonstratio Mathematica, 2023 In this article, we introduce a novel block preconditioner for block two-by-two linear equations by expanding the dimension of the coefficient matrix. Theoretical results on the eigenvalues distribution of the preconditioned matrix are obtained, and a ...
Luo Wei-Hua, Carpentieri Bruno, Guo Jun
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Zhejiang Daxue xuebao. Lixue ban, 2017 Recently, CAO et al introduced a generalized shift-splitting preconditioner for saddle point problems with nonsymmetric positive definite (1, 1)-block.
ZHANGLitao(张理涛) +2 more
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A second-level diagonal preconditioner for single-step SNPBLUP
Genetics Selection Evolution, 2019 Background The preconditioned conjugate gradient (PCG) method is an iterative solver of linear equations systems commonly used in animal breeding. However, the PCG method has been shown to encounter convergence issues when applied to single-step single ...
Jeremie Vandenplas +3 more
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Nihon Kikai Gakkai ronbunshu, 2015 Actual problems in science and industrial applications are modeled by multi-materials and large-scale unstructured mesh, and the finite element analysis has been widely used to solve such problems on the parallel computer.
Masao OGINO
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Development of a Scalable Thermal Reservoir Simulator on Distributed-Memory Parallel Computers
Fluids, 2021 Reservoir simulation is to solve a set of fluid flow equations through porous media, which are partial differential equations from the petroleum engineering industry and described by Darcy’s law.
Hui Liu +3 more
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Modified DTS Iteration Methods for Spatial Fractional Diffusion Equations
Mathematics, 2023 For the discretized linear systems of the spatial fractional diffusion equations, we construct a class of a modified DTS iteration method and give its asymptotic convergence conditions.
Xin-Hui Shao, Chong-Bo Kang
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