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Clustering symptoms of non-severe malaria in semi-immune Amazonian patients
Published 2015-10-01Get full text
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Solving a Class of High-Order Elliptic PDEs Using Deep Neural Networks Based on Its Coupled Scheme
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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204
Spline-in-compression approximation of order of accuracy three (four) for second order non-linear IVPs on a graded mesh
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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GMRES based numerical simulation and parallel implementation of multicomponent multiphase flow in porous media
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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An Historical Review of the Simplified Physical Fire Spread Model PhyFire: Model and Numerical Methods
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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ZOT -Mk: A New Algorithm For Big Integer Multiplication
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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Distributed File System to Leverage Data Locality for Large-File Processing
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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Selective Code Duplication for Soft Error Protection on VLIW Architectures
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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Parallel primal‐dual interior point method for the solution of dynamic optimal power flow
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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GPU-based Parallel DILU Preconditioning Technique
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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Neutral Magic‐Angle Bilayer Graphene: Condon Instability and Chiral Resonances
Published 2023-06-01Get full text
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Finite Element Simulation of Thermo-Mechanical Model with Phase Change
Published 2021-01-01Get full text
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Linking Machine Learning with Multiscale Numerics: Data-Driven Discovery of Homogenized Equations
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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Periodic reordering
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. …”
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Application of machine learning to aquifer analyses:Locating hydrogeological boundaries with water table monitoring data
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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Generalization of the Tavis–Cummings model for multi-level anharmonic systems
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