Showing 201 - 220 results of 1,187 for search '"scientific computation"', query time: 0.10s Refine Results
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    Solving a Class of High-Order Elliptic PDEs Using Deep Neural Networks Based on Its Coupled Scheme by Xi’an Li, Jinran Wu, Lei Zhang, Xin Tai

    Published 2022-11-01
    “…Deep learning—in particular, deep neural networks (DNNs)—as a mesh-free and self-adapting method has demonstrated its great potential in the field of scientific computation. In this work, inspired by the Deep Ritz method proposed by Weinan E et al. to solve a class of variational problems that generally stem from partial differential equations, we present a coupled deep neural network (CDNN) to solve the fourth-order biharmonic equation by splitting it into two well-posed Poisson’s problems, and then design a hybrid loss function for this method that can make efficiently the optimization of DNN easier and reduce the computer resources. …”
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    Article
  4. 204

    Spline-in-compression approximation of order of accuracy three (four) for second order non-linear IVPs on a graded mesh by R.K. Mohanty, Bishnu Pada Ghosh

    Published 2023-12-01
    “…The proposed estimation has been derived directly from consistency condition which is third-order accurate. For scientific computation, we use monotonically descending step lengths. …”
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    Article
  5. 205

    GMRES based numerical simulation and parallel implementation of multicomponent multiphase flow in porous media by Saltanbek T. Mukhambetzhanov, Danil V. Lebedev, Nurislam M. Kassymbek, Timur S. Imankulov, Bazargul Matkerim, Darkhan Zh. Akhmed-Zaki

    Published 2020-01-01
    “…Additionally, we made comparisons between the parallel program of the presented algorithm and the parallel program using the ready-made Portable Extensible Toolkit for Scientific Computation (PETSc) library. We developed an MPI parallel algorithm and tested it on the MVS-10P supercomputer of the Interdepartmental Supercomputer Center of the Russian Academy of Sciences.…”
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    Article
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    An Historical Review of the Simplified Physical Fire Spread Model PhyFire: Model and Numerical Methods by María Isabel Asensio, José Manuel Cascón, Diego Prieto-Herráez, Luis Ferragut

    Published 2023-02-01
    “…A historical review is conducted of PhyFire, a simplified physical forest fire spread model developed by the research group on Numerical Simulation and Scientific Computation (SINUMCC) at the University of Salamanca. …”
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    Article
  8. 208

    ZOT -Mk: A New Algorithm For Big Integer Multiplication by Jahani, Shahram

    Published 2009
    “…Multiplication of big numbers is being used heavily in scientific computation. However, there are only a few existing algorithms today that gain their efficiency through the multiplication of the big integer characteristic. …”
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    Thesis
  9. 209

    Distributed File System to Leverage Data Locality for Large-File Processing by Erico Correia da Silva, Liria Matsumoto Sato, Edson Toshimi Midorikawa

    Published 2023-12-01
    “…Over the past decade, significant technological advancements have led to a substantial increase in data proliferation. Both scientific computation and Big Data workloads play a central role, manipulating massive data and challenging conventional high-performance computing architectures. …”
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    Article
  10. 210

    Selective Code Duplication for Soft Error Protection on VLIW Architectures by Yohan Ko, Soohwan Kim, Hyunchoong Kim, Kyoungwoo Lee

    Published 2021-07-01
    “…Very Long Instruction Word, or VLIW, architectures have received much attention in specific-purpose applications such as scientific computation, digital signal processing, and even safety-critical systems. …”
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    Article
  11. 211

    Parallel primal‐dual interior point method for the solution of dynamic optimal power flow by Rylee Sundermann, Shrirang G. Abhyankar, Hong Zhang, Jung‐Han Kimn, Timothy M. Hansen

    Published 2023-02-01
    “…The parallel primal‐dual interior point method has been implemented in the open‐source portable, extensible toolkit for scientific computation (PETSc) library. The formulation, implementation, and numerical results on multicore computers to demonstrate the performance of the proposed approach on medium‐ to large‐scale networks with varying time horizons are presented. …”
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    Article
  12. 212

    GPU-based Parallel DILU Preconditioning Technique by WANG Jin, LIU Jiang

    Published 2022-06-01
    “…Large sparse linear equations often appear in scientific computation and engineering.There are many iterative methods and preconditioning techniques for solving these linear equations.Diagonal-based incomplete LU (DILU) is a preconditioning technique similar to incomplete LU (ILU) factorization.DILU is applied in OpenFOAM,an open source computational fluid dynamics software,and is a very important preconditioning technique in OpenFOAM.DILU has not received extensive attention outside OpenFOAM,and there is no complete GPU-based implementation so far.This paper compares DILU preconditioned BiCGStab with ILU preconditioned BiCGStab,and the time elapses in preconditioner constructions.The numeric experiments suggest that DILU may be more efficient and stable than ILU.As for GPU-based parallel implementations,this paper discusses two parallel schemes,that are level-set scheme and synchronization-free scheme,and gives related algorithms and some codes under these two parallel schemes.It compares the performances of DILU preconditioning technique under two parallel schemes.The numeric results show that each scheme has its own advantages and disadvantages in different equations,and we can select one according to their performances in practice.This paper compares the performance of DILU preconditioning on GPU and CPU,and the results show that GPU is more competitive.The applications that have performance bottlenecks on linear systems solutions can be improved by moving to GPU platforms.…”
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    Linking Machine Learning with Multiscale Numerics: Data-Driven Discovery of Homogenized Equations by Arbabi, Hassan

    Published 2021
    “…We propose to transformatively facilitate this training data collection process by linking machine learning (here, neural networks) with modern multiscale scientific computation (here, equation-free numerics). These equation-free techniques operate over sparse collections of small, appropriately coupled, space-time subdomains (“patches”), parsimoniously producing the required macro-scale training data. …”
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    Article
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    Periodic reordering by Grindrod, P, Higham, D, Kalna, G

    Published 2010
    “…Given a network as a set of observed links (interactions), the task of finding an ordering of the nodes that reveals such a range-dependent structure is closely related to some sparse matrix reordering problems arising in scientific computation. The spectral, or Fiedler vector, approach for sparse matrix reordering has successfully been applied to biological data sets, revealing useful structures and subpatterns. …”
    Journal article
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    Application of machine learning to aquifer analyses:Locating hydrogeological boundaries with water table monitoring data by Yongqiang QI, Wenpeng LI, Yuejun ZHENG, Hui LI, Chengjian WANG

    Published 2022-01-01
    “…This method is implemented into the geo-environmental scientific computation platform (EnviFusion-CGS), and a detailed work flow is developed to facilitate the development of the aquifer conceptual model. …”
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    Article
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