Results 81 to 90 of about 753 (179)
Efficient Numerical Schemes for a Heterogeneous Reaction–Diffusion System with Applications
MathematicsIn this study, a class of nonlinear heterogeneous reaction–diffusion system (RDS) has been considered that arises in modeling epidemiological interactions, environmental sciences, and chemical and ecological systems.
Samima Akhter +3 more
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The performances of R GPU implementations of the GMRES method [PDF]
Revista Română de Statistică, 2018 Although the performance of commodity computers has improved drastically with the introduction of multicore processors and GPU computing, the standard R distribution is still based on single-threaded model of computation, using only a small fraction of ...
Bogdan Oancea, Richard Pospisil
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Extending Elman's bound for GMRES
Linear Algebra and its ApplicationsIf the numerical range of a matrix is contained in the right half of the complex plane, the GMRES algorithm for solving linear systems will reduce the norm of the residual at every iteration. In his Ph.D. dissertation, Howard Elman derived a bound that guarantees convergence. When the numerical range contains the origin, GMRES need not make progress at
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Convergence analysis for nonlinear GMRES
IMA Journal of Numerical AnalysisAbstract In this work we revisit nonlinear generalized minimal residual method (NGMRES) applied to nonlinear problems. NGMRES is used to accelerate the convergence of fixed-point iterations, which can substantially improve the performance of the underlying fixed-point iterations.
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GMRES with Randomized Sketching and Deflated Restarting
SIAM Journal on Matrix Analysis and Applications24 Pages; 6 Figures; 4 ...
Liam Burke 0002 +2 more
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An Optimized Schwarz Method for the Optical Response Model Discretized by HDG Method. [PDF]
Entropy (Basel), 2023 Chen JF, Gu XM, Li L, Zhou P.
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On the numerical stability of sketched GMRES
CoRR23 pages, 6 ...
Liam Burke 0003, Erin Carson, Yuxin Ma
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An augmented IIM-level set method for Stokes equations with discontinuous viscosity
Electronic Journal of Differential Equations, 2007 A finite difference method is proposed for incompressible Stokes equations with discontinuous viscosity. The method combines the augmented immersed interface method with a level set representation of the interface on a uniform Cartesian grid.
Zhilin Li, Sharon R. Lubkin, Xiaohai Wan
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The algorithmic resolution of spectral-element discretization for the time-dependent Stokes problem
Boundary Value ProblemsWe consider two algorithms for the resolution of the time-dependent Stokes problem with nonstandard boundary conditions by the domain-decomposition spectral-element method.
Henda Ouertani, Mohamed Abdelwahed
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基于区域分解求解多尺度HVDC地电流场的广义极小残量迭代算法
Gaoya dianqi, 2018 为准确求解高压直流输电（HVDC）单极运行或故障状态下的入地电流场,需要建立更加贴近实际的计算模型。文中在建模时将接地极的具体尺寸考虑在内,并且将大地模型尺寸增大到上千公里,使得模型更加贴近实际,可以得到更准确的计算结果。考虑到接地极和大地区域尺寸的差距,模型属于多尺度模型。针对多尺度模型,文中采用重叠型的区域分解法,将包含接地极在内的小区域从整体模型中分解出来,独立建模求解。选取虚拟边界上的电位为迭代变量,将整个问题最终转化为非对称实数线性方程组。针对区域分解的迭代 ...
陶瑞祥, 王泽忠
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