Results 91 to 100 of about 14,331 (187)
A Framework for the Solution of Tree‐Coupled Saddle‐Point Systems
Numerical Linear Algebra with Applications, Volume 32, Issue 6, December 2025.ABSTRACT We consider the solution of saddle‐point systems with a tree‐based block structure, introducing a parallelizable direct method for their solution. As our key contribution, we then propose several structure‐exploiting preconditioners to be used during applications of the GMRES algorithm and analyze their properties.
Christoph Hansknecht +3 more
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Generating Approximate Inverse Preconditioners for Sparse Matrices Using CUDA and GPGPU
Journal of Algorithms & Computational Technology, 2011 The problem of numerical solution of sparse matrix-based linear systems arises from many scientific applications. Iterative solvers and corresponding preconditioning techniques are usually adopted.
Shiming Xu +3 more
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Um Método Newton-Inexato com Estratégia Híbrida para Globalização
Trends in Computational and Applied Mathematics, 2008 Neste trabalho, o objetivo é propor um algoritmo Newton-inexato com propriedade de convergência global para resolução de sistemas não-lineares. Para a globalização, propomos uma abordagem híbrida, envolvendo, além de busca linear,o método de regiões de ...
R.G. Begiato, M.A. Gomes Ruggiero
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Numerical Linear Algebra with Applications, Volume 32, Issue 6, December 2025.ABSTRACT In this work, we propose a novel preconditioned minimal residual method for a class of real, nonsymmetric multilevel block Toeplitz systems, which generalizes an ideal preconditioner established in [J. Pestana. Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices. SIAM Journal on Matrix Analysis and Applications, 40(3):870–
Grigorios Tachyridis, Sean Y. Hon
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Solution of Linear Systems by GMRES Method on Global Computing Platform
Journal of Algorithms & Computational Technology, 2007 By making use of a very large amount of unexploited computing resources, grid computing achieves high throughput computing. We present a classical parallel method GMRES (m) to solve large sparse linear systems utilizing a lightweight GRID system XtremWeb.
Haiwu He +3 more
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A Flexible Derivation Approach for the Numerical Solution of Partial Differential Equations
Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.ABSTRACT We propose a new method for the numerical solution of boundary value problems associated to partial differential equations. This method is based on standard approximation techniques, like numerical differentiation of univariate functions and curve interpolation, so it can be easily generalized to high‐dimensional problems.
Nadaniela Egidi +2 more
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Inf‐Sup Stable Non‐Conforming Finite Elements on Tetrahedra With Second‐ and Third‐Order Accuracy
Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.ABSTRACT We introduce a family of scalar non‐conforming finite elements with second‐ and third‐order accuracy with respect to the H1$$ {H}^1 $$‐norm on tetrahedra. Their vector‐valued versions generate, together with discontinuous pressure approximations of order one and two, respectively, inf‐sup stable finite element pairs with convergence order two ...
Loïc Balazi +3 more
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EngIn this work, we proposed a dynamic inverse solution with spatio-temporal constraints of the nonlinear heat diffusion problem in 1D and 2D based on a regularized Gauss–Newton and Krylov subspace with a preconditioner.
Luis Fernando Alvarez-Velasquez +1 more
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Journal of Applied Mathematics, 2014 Continuing from the works of Li et al. (2014), Li (2007), and Kincaid et al. (2000), we present more generalizations and modifications of iterative methods for solving large sparse symmetric and nonsymmetric indefinite systems of linear equations.
Jen-Yuan Chen +2 more
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پژوهشهای ریاضی, 2019 Introduction Fractional differential equations (FDEs) have attracted much attention and have been widely used in the fields of finance, physics, image processing, and biology, etc.
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