Towards Megacity-Scale Wind Flow Simulations on Many-Core CPU-Accelerator Systems: Towards megacity-scale wind flow simulations on many-core CPU-accelerator systems

Authors: Lei Xu, Qingyang Zhang, Kai Lu, Zhengzheng Yan, Chunye Gong, Shengguo Li, Lin Chen, Xinhai Chen, Xuchuan Lin, Jie Liu, Zheng Wang, Rongliang Chen

Source: SIAM Journal on Scientific Computing. 47:B402-B427

Subject Terms: Numerical algorithms for specific classes of architectures, lattice Boltzmann method, city-wide meteorological micro-scale, heterogeneous parallel computing, Particle methods and lattice-gas methods, high-performance computing, computational wind engineering

File Description: application/xml

Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation: Deep neural network for solving differential equations motivated by Legendre-Galerkin approximation

Authors: Chudomelka, Bryce, Hong, Youngjoon, Morgan, John, Kim, Hyunwoo, Park, Jinyoung

Source: International Journal of Numerical Analysis and Modeling. 21:652-673

Subject Terms: data driven numerical method, Numerical algorithms for specific classes of architectures, neural network, deep learning, spectral element method, Legendre-Galerkin method, Spectral, collocation and related methods for boundary value problems involving PDEs, Numerical solution of discretized equations for boundary value problems involving PDEs, Computational aspects of data analysis and big data, Artificial neural networks and deep learning

File Description: application/xml

Access URL: https://zbmath.org/7954065
https://doi.org/10.4208/ijnam2024-1026

SlabLU: a two-level sparse direct solver for elliptic PDEs

Authors: Anna Yesypenko, Per-Gunnar Martinsson

Source: Advances in Computational Mathematics. 50

Subject Terms: Finite difference methods for boundary value problems involving PDEs, Numerical Analysis, Random matrices (algebraic aspects), GPU, Numerical methods for low-rank matrix approximation, matrix compression, high-order discretization, Parallel numerical computation, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Numerical solution of discretized equations for boundary value problems involving PDEs, Direct numerical methods for linear systems and matrix inversion, multifrontal solver, 01 natural sciences, Factorization of matrices, direct solver, Computational methods for sparse matrices, Numerical algorithms for specific classes of architectures, Boundary value problems for second-order elliptic equations, sparse direct solver, FOS: Mathematics, Spectral, collocation and related methods for boundary value problems involving PDEs, randomized linear algebra, Helmholtz equation, 0101 mathematics

File Description: application/xml

Access URL: http://arxiv.org/abs/2211.07572

MFEM: A modular finite element methods library: MFEM: a modular finite element methods library

Authors: Robert Anderson, Julian Andrej, Andrew Barker, Jamie Bramwell, Jean-Sylvain Camier, Jakub Cerveny, Veselin Dobrev, Yohann Dudouit, Aaron Fisher, Tzanio Kolev, Will Pazner, Mark Stowell, Vladimir Tomov, Ido Akkerman, Johann Dahm, David Medina, Stefano Zampini

Contributors: Extreme Computing Research Center, Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division, Lawrence Livermore National Laboratory, Livermore, USA, Delft University of Technology, Netherlands, Vulcan Inc., Seattle, USA, Occalytics LLC, New York, USA

Source: Computers & Mathematics with Applications. 81:42-74

Subject Terms: Finite element methods, FOS: Computer and information sciences, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Finite element methods applied to problems in solid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, 01 natural sciences, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, High-order methods, Numerical algorithms for specific classes of architectures, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, finite element methods, numerical PDEs, Mathematics - Numerical Analysis, 0101 mathematics, High-performance computing, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, Open-source scientific software, matrix-free algorithms, high-performance computing, Parallel numerical computation, Numerical Analysis (math.NA), Software, source code, etc. for problems pertaining to numerical analysis, Matrix-free algorithms, high-order methods, Computer Science - Mathematical Software, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, open-source scientific software, Numerical PDEs, Mathematical Software (cs.MS), Finite element methods applied to problems in fluid mechanics

File Description: application/xml; application/pdf

Access URL: https://www.sciencedirect.com/science/article/am/pii/S0898122120302583
http://arxiv.org/abs/1911.09220
https://zbmath.org/7288706
https://doi.org/10.1016/j.camwa.2020.06.009
https://ui.adsabs.harvard.edu/abs/2019arXiv191109220A/abstract
https://repository.tudelft.nl/islandora/object/uuid%3A553103d4-1337-44a3-9638-47ff85dbd5d1
http://export.arxiv.org/pdf/1911.09220
http://doi.org/10.1016/j.camwa.2020.06.009
https://dblp.uni-trier.de/db/journals/corr/corr1911.html#abs-1911-09220
https://arxiv.org/abs/1911.09220
http://resolver.tudelft.nl/uuid:553103d4-1337-44a3-9638-47ff85dbd5d1

Quantum computing enhanced distance-minimizing data-driven computational mechanics

Authors: Yongchun Xu, Jie Yang, Zengtao Kuang, Qun Huang, Wei Huang, Heng Hu

Source: Computer Methods in Applied Mechanics and Engineering. 419:116675

Subject Terms: Computational Engineering, Finance, and Science (cs.CE), FOS: Computer and information sciences, data-driven computational mechanics, Numerical algorithms for specific classes of architectures, Quantum computation, swap test, nearest-neighbor search, Computer Science - Computational Engineering, Finance, and Science, quantum computing, distance calculation

File Description: application/xml

Access URL: http://arxiv.org/abs/2306.08305
https://zbmath.org/7796695
https://doi.org/10.1016/j.cma.2023.116675

Algorithmic Patterns for $$\mathcal {H}$$-Matrices on Many-Core Processors: Algorithmic patterns for \(\mathcal {H}\)-matrices on many-core processors

Authors: Peter Zaspel

Source: Journal of Scientific Computing. 78:1174-1206

Subject Terms: hierarchical matrices, FOS: Computer and information sciences, batched linear algebra, Numerical linear algebra, Learning and adaptive systems in artificial intelligence, GPU, Parallel numerical computation, Numerical Analysis (math.NA), kernel ridge regression, 65Y05, 68T05, 65Y10, 68W10, 65Y20, 65F30, 65F10, 15A06, 015-04, 65N38, 01 natural sciences, many-core parallelization, Numerical algorithms for specific classes of architectures, Computer Science - Distributed, Parallel, and Cluster Computing, FOS: Mathematics, Computer Science - Mathematical Software, space filling curves, Mathematics - Numerical Analysis, Distributed, Parallel, and Cluster Computing (cs.DC), 0101 mathematics, Mathematical Software (cs.MS)

File Description: application/xml

Access URL: http://arxiv.org/pdf/1708.09707
http://arxiv.org/abs/1708.09707
https://zbmath.org/7063606
https://doi.org/10.1007/s10915-018-0809-4

Three-Dimensional Numerical Simulation of Droplet Evaporation Using the Lattice Boltzmann Method Based on GPU-CUDA Accelerated Algorithm: Three-dimensional numerical simulation of droplet evaporation using the lattice Boltzmann method based on GPU-CUDA accelerated algorithm

Authors: Qingyu Zhang, Changsheng Zhu, Mingfang Zhu

Source: Communications in Computational Physics. 23:1150-1166

Subject Terms: 0209 industrial biotechnology, Numerical algorithms for specific classes of architectures, lattice Boltzmann modeling, Particle methods and lattice-gas methods, 02 engineering and technology, GPU computing, 0101 mathematics, contact angle, 01 natural sciences, evaporation

File Description: application/xml

Access URL: https://zbmath.org/7415735
https://doi.org/10.4208/cicp.oa-2016-0185

Memory-Efficient Sparse Matrix-Matrix Multiplication by Row Merging on Many-Core Architectures: Memory-efficient sparse matrix-matrix multiplication by row merging on many-core architectures

Authors: Kerstin Küpper, Uwe Naumann, Felix Gremse

Source: SIAM Journal on Scientific Computing. 40:C429-C449

Subject Terms: Computational methods for sparse matrices, Complexity and performance of numerical algorithms, sparse matrix-matrix multiplication, Numerical algorithms for specific classes of architectures, GPU-programming, algebraic multigrid, Galerkin product, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, fluorescence-mediated tomography

File Description: application/xml

Access URL: https://dblp.uni-trier.de/db/journals/siamsc/siamsc40.html#GremseKN18
https://publications.rwth-aachen.de/record/745400
https://epubs.siam.org/doi/abs/10.1137/17M1121378
https://doi.org/10.1137/17M1121378

GPU acceleration of Volumetric Lattice Boltzmann Method for patient-specific computational hemodynamics: GPU acceleration of volumetric lattice Boltzmann method for patient-specific computational hemodynamics

Authors: Zhiqiang Wang, Alan P. Sawchuck, Huidan Yu, Ye Zhao, Michael C. Dalsing

Source: Computers & Fluids. 115:192-200

Subject Terms: Physiological flow, patient-specific computational hemodynamics, Numerical algorithms for specific classes of architectures, parallel computing, volumetric lattice Boltzmann Method, 0103 physical sciences, graphics processor unit, Particle methods and lattice-gas methods, Physiological flows, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/6893439
https://doi.org/10.1016/j.compfluid.2015.04.004
https://www.sciencedirect.com/science/article/pii/S0045793015001139

Parallel hybrid PSO with CUDA for lD heat conduction equation

Authors: Aijia Ouyang, Xu Zhou, Keqin Li, Zhuo Tang, Guo Pan, Yuming Xu

Source: Computers & Fluids. 110:198-210

Subject Terms: 0209 industrial biotechnology, heat conduction equation, particle swarm optimization, spline difference method, GPU, 02 engineering and technology, Approximation methods and heuristics in mathematical programming, 7. Clean energy, Numerical computation using splines, Numerical algorithms for specific classes of architectures, Numerical mathematical programming methods, conjugate gradient method, Heat and mass transfer, heat flow, 0202 electrical engineering, electronic engineering, information engineering, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

File Description: application/xml

Access URL: https://zbmath.org/6893370
https://doi.org/10.1016/j.compfluid.2014.05.020
http://www.cs.newpaltz.edu/~lik/publications/Aijia-Ouyang-CF-2015.pdf
https://www.sciencedirect.com/science/article/pii/S0045793014002187

Parallel computation of Entropic Lattice Boltzmann method on hybrid CPU–GPU accelerated system: Parallel computation of entropic lattice Boltzmann method on hybrid CPU-GPU accelerated system

Authors: Tan Deng, Yu Ye, Yan Wang, Kenli Li

Source: Computers & Fluids. 110:114-121

Subject Terms: Numerical algorithms for specific classes of architectures, 13. Climate action, 0103 physical sciences, GPU, Particle methods and lattice-gas methods, entropic lattice Boltzmann method (ELBM), CUDA, OpenMP, computational fluid dynamics, parallel computation, hybrid computing, 01 natural sciences

File Description: application/xml

Access URL: http://www.sciencedirect.com/science/article/pii/S0045793014002382
https://www.sciencedirect.com/science/article/pii/S0045793014002382

Scalable multi-relaxation-time lattice Boltzmann simulations on multi-GPU cluster

Authors: Pei-Yao Hong, Li-Min Huang, Chao-An Lin, Li-Song Lin

Source: Computers & Fluids. 110:1-8

Subject Terms: lattice Boltzmann model (LBM), 2. Zero hunger, Numerical algorithms for specific classes of architectures, graphic processing unit, 0103 physical sciences, three dimensional lid-driven cavity flow, Particle methods and lattice-gas methods, multi relaxation time (MRT), message passing interface, 7. Clean energy, 01 natural sciences

File Description: application/xml

Access URL: http://geoceano.fr/wp-content/uploads/2015/01/mrt-lbm-multi-gpu.pdf
https://www.sciencedirect.com/science/article/pii/S0045793014004733

GPU parallelization of unstructured/hybrid grid ALE multigrid unsteady solver for moving body problems

Authors: Wenpeng Ma, Zhonghua Lu, Jian Zhang

Source: Computers & Fluids. 110:122-135

Subject Terms: 2. Zero hunger, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Numerical algorithms for specific classes of architectures, 0103 physical sciences, unstructured/hybird grid, Finite volume methods applied to problems in fluid mechanics, Compressible fluids and gas dynamics, mesh deformation, 0101 mathematics, graphics processing units (GPUs), multigrid, 01 natural sciences

File Description: application/xml

Access URL: http://www.sciencedirect.com/science/article/pii/S0045793014004423
https://www.sciencedirect.com/science/article/abs/pii/S0045793014004423

Numerical investigation of the effect of boundary conditions for a highly rarefied gas flow using the GPU accelerated Boltzmann solver

Authors: ROVENSKAYA, Olga, CROCE, Giulio

Source: Computers & Fluids. 110:77-87

Subject Terms: Boltzmann equation, Cercignani-Lampis model, CUDA, Heat transfer, Computer Science (all), Engineering (all), Rarefied gas flows, Boltzmann equation in fluid mechanics, Numerical algorithms for specific classes of architectures, Finite difference methods for initial value and initial-boundary value problems involving PDEs, heat transfer, 0103 physical sciences, Particle methods and lattice-gas methods, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: https://zbmath.org/6893358
https://doi.org/10.1016/j.compfluid.2014.10.015
https://core.ac.uk/display/53358108
https://www.sciencedirect.com/science/article/pii/S0045793014004204
https://hdl.handle.net/11390/1069265
https://doi.org/10.1016/j.compfluid.2014.10.015

Modeling the Performance of Geometric Multigrid Stencils on Multicore Computer Architectures: Modeling the performance of geometric multigrid stencils on multicore computer architectures

Authors: Ghysels, Pieter, Vanroose, Wim

Source: SIAM journal on scientific computing

Subject Terms: Computer. Automation, Finite difference methods for boundary value problems involving PDEs, performance model, bandwidth, Complexity and performance of numerical algorithms, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Numerical algorithms for specific classes of architectures, multicore, 0101 mathematics, multigrid, 01 natural sciences, Mathematics

File Description: application/xml; pdf

Access URL: https://repository.uantwerpen.be/docman/irua/e52f99/a7ee861e.pdf
https://zbmath.org/6444115
https://doi.org/10.1137/130935781
https://hdl.handle.net/10067/1244840151162165141
https://repository.uantwerpen.be/docman/irua/e52f99/a7ee861e.pdf

GPU accelerated computation of the isogeometric analysis stiffness matrix

Authors: A. Karatarakis, P. Karakitsios, M. Papadrakakis

Source: Computer Methods in Applied Mechanics and Engineering

Subject Terms: Computer-aided design (modeling of curves and surfaces), isogeometric analysis, NURBS, Numerical algorithms for specific classes of architectures, parallel computing, 0211 other engineering and technologies, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Gauss quadrature, stiffness matrix assembly, GPU acceleration, 7. Clean energy

File Description: application/xml

Access URL: https://zbmath.org/6353131
https://doi.org/10.1016/j.cma.2013.11.008
http://www.sciencedirect.com/science/article/pii/S0045782513003034
http://ui.adsabs.harvard.edu/abs/2014CMAME.269..334K/abstract
https://www.sciencedirect.com/science/article/pii/S0045782513003034

Entropic Lattice Boltzmann Method based high Reynolds number flow simulation using CUDA on GPU: Entropic lattice Boltzmann method based high Reynolds number flow simulation using CUDA on GPU

Authors: Yu Ye, Kenli Li

Source: Computers & Fluids. 88:241-249

Subject Terms: high Reynolds number, Numerical algorithms for specific classes of architectures, parallelization, 0103 physical sciences, GPU, Particle methods and lattice-gas methods, entropic lattice Boltzmann method (ELBM), CUDA, computational fluid dynamics, 7. Clean energy, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/6890987
https://doi.org/10.1016/j.compfluid.2013.08.005
https://www.sciencedirect.com/science/article/pii/S0045793013003228

GPU-acceleration of stiffness matrix calculation and efficient initialization of EFG meshless methods

Authors: A. Karatarakis, P. Metsis, M. Papadrakakis

Source: Computer Methods in Applied Mechanics and Engineering

Subject Terms: meshless methods, Numerical algorithms for specific classes of architectures, parallel computing, 0211 other engineering and technologies, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, element free Galerkin (EFG), 0101 mathematics, preprocessing, stiffness matrix assembly, GPU acceleration, 01 natural sciences

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2013CMAME.258...63K/abstract
https://www.sciencedirect.com/science/article/pii/S0045782513000431
http://www.sciencedirect.com/science/article/pii/S0045782513000431

Joint-MAP Tomographic Reconstruction with Patch Similarity Based Mixture Prior Model: Joint-MAP tomographic reconstruction with patch similarity based mixture prior model

Authors: Chen, Yang, Li, Yinsheng, Yu, Weimin, Luo, Limin, Chen, Wufan, Toumoulin, Christine

Contributors: Senhadji, Lotfi

Source: Multiscale Modeling & Simulation. 9:1399-1419

Subject Terms: [SDV.IB] Life Sciences [q-bio]/Bioengineering, reconstruction, Biomedical imaging and signal processing, inverse problems, [INFO.INFO-TS] Computer Science [cs]/Signal and Image Processing, tomographic reconstruction, Random fields, image analysis, 02 engineering and technology, compression, image processing, 03 medical and health sciences, Applications of mathematical programming, 0302 clinical medicine, Numerical algorithms for specific classes of architectures, random field, similarity based mixture prior model, 0202 electrical engineering, electronic engineering, information engineering, Image processing (compression, reconstruction, etc.) in information and communication theory, parallel computation, [SPI.SIGNAL] Engineering Sciences [physics]/Signal and Image processing

File Description: application/xml; application/pdf

Access URL: https://www.hal.inserm.fr/inserm-00656236/file/paper_MMS.pdf
https://inserm.hal.science/inserm-00656236v1/document
https://doi.org/10.1137/100814184
https://inserm.hal.science/inserm-00656236v1

Simulating flows of incompressible and weakly compressible fluids on multicore hybrid computer systems

Authors: Boris N. Chetverushkin, Alexander A. Davydov, E. V. Shil’nikov

Source: Computational Mathematics and Mathematical Physics. 50:2157-2165

Subject Terms: Numerical algorithms for specific classes of architectures, Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.), stability of explicit schemes, 0101 mathematics, Abstract computational complexity for mathematical programming problems, kinetic schemes, 01 natural sciences, multicore hybrid computer systems

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2010CMMPh..50.2157D/abstract
https://link.springer.com/article/10.1134/S096554251012016X