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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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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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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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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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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On the numerical stability of sketched GMRES
CoRR23 pages, 6 ...
Liam Burke 0003, Erin Carson, Yuxin Ma
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Computational Efficient Motion Planning Method for Automated Vehicles Considering Dynamic Obstacle Avoidance and Traffic Interaction. [PDF]
Sensors (Basel), 2022 Zhang Y +5 more
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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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On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction. [PDF]
Comput Optim Appl, 2023 Gfrerer H +3 more
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MARIE 2.0: A Perturbation Matrix Based Patient-Specific MRI Field Simulator. [PDF]
IEEE Trans Biomed Eng, 2023 Guryev GD +6 more
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