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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Steepest descent preconditioning for nonlinear GMRES optimization [PDF]
Numerical Linear Algebra with Applications, 2012 SUMMARYSteepest descent preconditioning is considered for the recently proposed nonlinear generalized minimal residual (N‐GMRES) optimization algorithm for unconstrained nonlinear optimization. Two steepest descent preconditioning variants are proposed. The first employs a line search, whereas the second employs a predefined small step. A simple global
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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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Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **
ESAIM: Proceedings and Surveys, 2014 In order to solve the linear partial differential equation Au = f, we combine two methods: Full-Multigrid method and Hessian-based mesh adaptation.
Brèthes Gautier
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Heavy Ball Restarted CMRH Methods for Linear Systems
Mathematical and Computational Applications, 2018 The restarted CMRH method (changing minimal residual method based on the Hessenberg process) using fewer operations and storage is an alternative method to the restarted generalized minimal residual method (GMRES) method for linear systems.
Zhongming Teng, Xuansheng Wang
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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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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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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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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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