Suchergebnisse - Numerical algorithms for specific classes of architectures

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

Autoren: Lei Xu Qingyang Zhang Kai Lu et al.

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

Schlagwörter: 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

Dateibeschreibung: 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

Autoren: Chudomelka, Bryce Hong, Youngjoon Morgan, John et al.

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

Schlagwörter: 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

Dateibeschreibung: application/xml

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

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

Autoren: Qingyu Zhang Changsheng Zhu Mingfang Zhu

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

Schlagwörter: 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

Dateibeschreibung: application/xml

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

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

Autoren: Anna Yesypenko Per-Gunnar Martinsson

Quelle: Advances in Computational Mathematics. 50

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2211.07572

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

Autoren: Kerstin Küpper Uwe Naumann Felix Gremse

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

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

Autoren: Robert Anderson Julian Andrej Andrew Barker et al.

Weitere Verfasser: Robert Anderson Julian Andrej Andrew Barker et al.

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

Schlagwörter: 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

Dateibeschreibung: application/xml; application/pdf

Zugangs-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

A fine-grain load-adaptive algorithm of the 2D discrete wavelet transform for multithreaded architectures

Autoren: Ashfaq Khokhar Guang R. Gao Parimala Thulasiraman et al.

Quelle: Journal of Parallel and Distributed Computing. 64:68-78

Schlagwörter: Numerical algorithms for specific classes of architectures, Numerical methods for wavelets, 0202 electrical engineering, electronic engineering, information engineering, Parallel numerical computation, 02 engineering and technology, Parallel algorithms in computer science, 0101 mathematics, multithreaded algorithm, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2099275
https://doi.org/10.1016/j.jpdc.2003.06.003

VLSI algorithms and architectures for complex householder transformation with applications to array processing: VLSI algorithms and architectures for complex Householder transformation with applications to array processing

Autoren: K.J.R. Liu Kung Yao S.F. Hsieh et al.

Quelle: Journal of VLSI signal processing systems for signal, image and video technology. 4:53-68

Schlagwörter: Numerical algorithms for specific classes of architectures, Hardware implementations of nonnumerical algorithms (VLSI algorithms, etc.), 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology

Dateibeschreibung: application/xml

Zugangs-URL: https://drum.lib.umd.edu/bitstream/1903/5131/1/TR_91-84.pdf
https://zbmath.org/644410
https://doi.org/10.1007/bf00930618
https://dblp.uni-trier.de/db/journals/vlsisp/vlsisp4.html#TangLHY92
https://doi.org/10.1007/BF00930618
https://link.springer.com/article/10.1007/BF00930618
https://drum.lib.umd.edu/handle/1903/5131
https://rd.springer.com/article/10.1007/BF00930618
https://drum.lib.umd.edu/bitstream/1903/5131/1/TR_91-84.pdf

Numerical algorithms for high-performance computational science

Autoren: Dongarra, Jack Grigori, Laura Higham, Nicholas

Weitere Verfasser: Dongarra, Jack Grigori, Laura Higham, Nicholas

Quelle: Dongarra, J, Grigori, L & Higham, N 2020, 'Numerical Algorithms for High-Performance Computational Science', Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences, vol. 378, no. 2166. https://doi.org/10.1098/rsta.2019.0066
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Schlagwörter: Numerical algorithms, Rounding errors, floating-point arithmetic, FOS: Physical sciences, 01 natural sciences, 7. Clean energy, computational mathematics, Exascale computer, Numerical algorithms for specific classes of architectures, 0103 physical sciences, [INFO.INFO-DC] Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], rounding errors, numerical linear algebra, applied mathematics, 0101 mathematics, High-performance computing, Condensed Matter - Statistical Mechanics, Statistical Mechanics (cond-mat.stat-mech), Numerical linear algebra, numerical algorithms, high-performance computing, Floating-point arithmetic, 16. Peace & justice, computer modelling and simulation, Q1 Science (General) / természettudomány általában, exascale computer

Dateibeschreibung: application/xml; application/pdf; text

Zugangs-URL: https://www.research.manchester.ac.uk/portal/files/157204300/paper.pdf
https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0066
https://pubmed.ncbi.nlm.nih.gov/32223409
https://pubmed.ncbi.nlm.nih.gov/31955676
http://arxiv.org/abs/2002.07664
https://research.manchester.ac.uk/en/publications/688062da-5a17-40f4-bea1-b5393a7d88c1
https://doi.org/10.1098/rsta.2019.0066
https://inria.hal.science/hal-03131759v1
https://doi.org/10.1098/rsta.2019.0066
https://pubmed.ncbi.nlm.nih.gov/32223409/
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7134948
https://ui.adsabs.harvard.edu/abs/2020RSPTA.37800066V/abstract
https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2020.0066
https://royalsocietypublishing.org/doi/10.1098/rsta.2020.0066
https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2019.0066
https://www.research.manchester.ac.uk/portal/en/publications/numerical-algorithms-for-highperformance-computational-science(688062da-5a17-40f4-bea1-b5393a7d88c1).html
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7015289/
https://www.research.manchester.ac.uk/portal/files/157204300/paper.pdf
https://www.ncbi.nlm.nih.gov/pubmed/31955676
https://europepmc.org/article/MED/31955676
https://arxiv.org/pdf/2002.07664.pdf
http://ui.adsabs.harvard.edu/abs/2020arXiv200207664V/abstract
https://arxiv.org/abs/2002.07664
https://pure.manchester.ac.uk/ws/files/157204300/paper.pdf
https://research.manchester.ac.uk/en/publications/688062da-5a17-40f4-bea1-b5393a7d88c1
https://doi.org/10.1098/rsta.2019.0066

A balanced submatrix merging algorithm for multiprocessor architectures

Autoren: Eleanor Chu Alan George

Quelle: Parallel Computing. 18:1-10

Schlagwörter: Numerical solutions to overdetermined systems, pseudoinverses, Numerical algorithms for specific classes of architectures, multiprocessor machines, Distributed algorithms, large scale least squares computations, parallel algorithms, Givens rotations, 0102 computer and information sciences, 0101 mathematics, merging algorithm, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/35977
https://doi.org/10.1016/0167-8191(92)90106-h
http://dblp.uni-trier.de/db/journals/pc/pc18.html#ChuG92
https://repository.exst.jaxa.jp/dspace/handle/a-is/329431
https://www.sciencedirect.com/science/article/pii/016781919290106H
https://dblp.uni-trier.de/db/journals/pc/pc18.html#ChuG92
https://ntrs.nasa.gov/search.jsp?R=19920041868

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

Autoren: Ghysels, Pieter Vanroose, Wim

Quelle: SIAM journal on scientific computing

Schlagwörter: 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

Dateibeschreibung: application/xml; pdf

Zugangs-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

Effective numerical algorithms for the solution of algebraic systems arising in spectral methods

Autoren: C. CARLENZOLI GERVASIO, Paola

Quelle: Applied Numerical Mathematics. 10:87-113

Schlagwörter: Iterative numerical methods for linear systems, Multigrid methods, domain decomposition for boundary value problems involving PDEs, IBM 3090/200S VF, CGS method, Richarson method, comparisons, CRAY Y-MP 8/432, iteration, unsymmetric spectral matrices, 01 natural sciences, domain decomposition, NCUBE2, Boundary value problems for second-order elliptic equations, Numerical algorithms for specific classes of architectures, preconditioning, BI-CGSTAB method, vectorization, GMRES method, Spectral, collocation and related methods for boundary value problems involving PDEs, Spectral methods vectorization algorithms domain decomposition, 0101 mathematics, CRAY X/MP-EA, spectral collocation method

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/89534
https://doi.org/10.1016/0168-9274(92)90033-a
https://www.sciencedirect.com/science/article/pii/016892749290033A
https://hdl.handle.net/11379/4225
https://doi.org/10.1016/0168-9274(92)90033-A

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

Autoren: Zhiqiang Wang Alan P. Sawchuck Huidan Yu et al.

Quelle: Computers & Fluids. 115:192-200

Schlagwörter: 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

Dateibeschreibung: application/xml

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

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

Autoren: ROVENSKAYA, Olga CROCE, Giulio

Quelle: Computers & Fluids. 110:77-87

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-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

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

Autoren: Peter Zaspel

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

Schlagwörter: 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)

Dateibeschreibung: application/xml

Zugangs-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

Optimization Based Nonoverlapping Domain Decomposition Algorithms and Their Convergence: Optimization based nonoverlapping domain decomposition algorithms and their convergence

Autoren: Qiang Du

Quelle: SIAM Journal on Numerical Analysis. 39:1056-1077

Schlagwörter: Variational methods for second-order elliptic equations, Multigrid methods, domain decomposition for boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Poisson equation, algorithms, 01 natural sciences, domain decomposition, Numerical algorithms for specific classes of architectures, finite element, 0101 mathematics, parallel computation, optimization, large scale problems

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1764349
https://doi.org/10.1137/s0036142900380273
https://dblp.uni-trier.de/db/journals/siamnum/siamnum39.html#Du01
https://www.jstor.org/stable/3061945
https://locus.siam.org/doi/abs/10.1137/S0036142900380273
https://epubs.siam.org/doi/abs/10.1137/S0036142900380273

VLSI architectures for the discrete wavelet transform

Autoren: Mary Jane Irwin Robert Michael Owens M. Vishwanath

Quelle: IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing. 42:305-316

Schlagwörter: linear systolic arrays, discrete wavelet transform, Numerical algorithms for specific classes of architectures, Mallat's pyramid algorithm, Hardware implementations of nonnumerical algorithms (VLSI algorithms, etc.), recursive pyramid algorithm, VLSI architectures, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Numerical methods for discrete and fast Fourier transforms

Dateibeschreibung: application/xml

Zugangs-URL: https://ieeexplore.ieee.org/abstract/document/386170
https://pennstate.pure.elsevier.com/en/publications/vlsi-architectures-for-the-discrete-wavelet-transform
http://ieeexplore.ieee.org/document/386170

Quantum computing enhanced distance-minimizing data-driven computational mechanics

Autoren: Yongchun Xu Jie Yang Zengtao Kuang et al.

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

Schlagwörter: 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

Dateibeschreibung: application/xml

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

Designing Optimal Algorithms for Solving Banded Triangular Systems on Rings: Designing optimal algorithms for solving banded triangular systems on rings

Autoren: Eugene Santos Eunice E. Santos Eugene S. Santos

Quelle: Journal of Mathematical Modelling and Algorithms. 1:169-180

Schlagwörter: Computational methods for sparse matrices, Complexity and performance of numerical algorithms, Numerical algorithms for specific classes of architectures, Analysis of algorithms and problem complexity, banded triangular systems, parallel algorithms, Parallel numerical computation, ring topology, 0101 mathematics, Direct numerical methods for linear systems and matrix inversion, complexity, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023/A%3A1020586405464
https://experts.illinois.edu/en/publications/designing-optimal-algorithms-for-solving-banded-triangular-system
https://dblp.uni-trier.de/db/journals/jmma/jmma1.html#SantosSS02
https://doi.org/10.1023/A:1020586405464

An optimal schedule for Gaussian elimination on an MIMD architecture

Autoren: Rachid Saad

Quelle: Journal of Computational and Applied Mathematics. 185:91-106

Schlagwörter: computational complexity, Scheduling, Applied Mathematics, Parallel numerical computation, MIMD, 0102 computer and information sciences, Direct numerical methods for linear systems and matrix inversion, 01 natural sciences, Computational Mathematics, Complexity and performance of numerical algorithms, Numerical algorithms for specific classes of architectures, Gaussian elimination, scheduling, 0101 mathematics, parallel computation

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2217860
https://doi.org/10.1016/j.cam.2005.01.028
https://www.sciencedirect.com/science/article/pii/S0377042705000518
http://ui.adsabs.harvard.edu/abs/2006JCoAM.185...91S/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=1275896
https://core.ac.uk/display/82764463