Search Results - "numerical algorithms and problems"

SunwayLB: Enabling Extreme-Scale Lattice Boltzmann Method Based Computing Fluid Dynamics Simulations on Advanced Heterogeneous Supercomputers by Liu, Zhao, Chu, Xuesen, Lv, Xiaojing, Meng, Hongsong, Liu, Hanyue, Zhu, Guanghui, Fu, Haohuan, Yang, Guangwen

“…The Lattice Boltzmann Method (LBM) is a class of Computational Fluid Dynamics methods which models the fluid as fictive particles. In this paper, we report our…”
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Static Seeding and Clustering of LSTM Embeddings to Learn From Loosely Time-Decoupled Events by Manasseh, Christian G., Veliche, Razvan, Bennett, Jared, Clouse, Hamilton Scott

“…Humans learn from the occurrence of events at different places and times to predict similar trajectories of events. We define loosely decoupled time (LDT)…”
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Description and Solution of an Unreported Intrinsic Bias in Photon Mapping Density Estimation with Constant Kernel by García, R., Ureña, C., Sbert, M.

“…This paper presents an analysis of the irradiance estimator often used in photon mapping algorithms and concludes that the classical approach with a constant…”
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High performance finite element approximate inverse preconditioning by Giannoutakis, Konstantinos M., Gravvanis, George A.

“…A new parallel normalized optimized approximate inverse algorithm, based on the concept of the “fish bone” computational approach satisfying an antidiagonal…”
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Cross-Platform Optimization and Benchmarking of the Lattice Boltzmann Method on Heterogeneous Architectures by Zhu, Guanghui, Lv, Xiaojing, Liu, Zhao, Liu, Tao, Zhang, Wusheng, Fan, Yujing, Yu, Hongkun, Gao, Zhanyun, Shang, Jiandong

“…The Lattice Boltzmann Method (LBM) has gained attention for its ability to handle complex fluid dynamics simulations, making it suitable for large-scale…”
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Division-free computation of subresultants using Bezout matrices by Kerber, Michael

“…We present an algorithm to compute the subresultant sequence of two polynomials that completely avoids division in the ground domain, generalizing an algorithm…”
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Method of trimming PDE surfaces by Ugail, Hassan

“…A method for trimming surfaces generated as solutions to partial differential equations (PDEs) is presented. The work we present here utilises the 2D parameter…”
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A variance analysis of the Metropolis Light Transport algorithm by Ashikhmin, Michael, Premože, Simon, Shirley, Peter, Smits, Brian

“…The Metropolis Light Transport algorithm is a variant of the classic Metropolis method used in statistical physics. A variance analysis of the Metropolis Light…”
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The Computational Complexity of Random Variables with Uniform, Exponential and Pareto Distributions in Real and Interval Forms by Fonseca Finger, Alice, Brum Loreto, Aline, Signori Furlan, Vinicius

“…To obtain the numerical value of the Uniform, Exponential and Pareto distributions is necessary to use numerical integration and its value is obtained by…”
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The computational complexity of problems to compute intervals wrappers for random variables uniform, Exponential and Pareto by Finger, A. F., Loreto, A. B., Campos, M. A., Varjao, F. R. G., dos Santos, M. D.

“…When working with floating point numbers the result is only an approximation of a real value and errors generated by rounding or by instability of the…”
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On the performance of a direct parallel method for solving separable elliptic equations based on block cyclic eduction by Kelleher, Kevin, Lakshmivarahan, S., Dhall, Sudarshan

“…A comparison of the performance of the Buneman's version of the block cyclic reduction (BCR) algorithm based on a) polynomial factorization and b) partial…”
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Systolic givens factorization of dense rectangular matrices by Cosnard, Michel, Robert, Yves

“…Given an m by n dense matrix A(m≧n) we consider parallel algorithms to compute its orthogonal factorization via Givens rotations. First we describe an…”
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Block LU decompositon of a band matrix on a systolic array by Robert, Yves

“…After a brief discussion on systolic arrays for band matrix LU or QR decomposition, we introduce a new systolic array for the block 2x2 LU decompositon of a…”
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A Software Implementation of the IEEE 754R Decimal Floating-Point Arithmetic Using the Binary Encoding Format by Cornea, M., Harrison, J., Anderson, C., Tang, P., Schneider, E., Gvozdev, E.

“…The IEEE Standard 754-1985 for binary floating-point arithmetic [19] was revised [20], and an important addition is the definition of decimal floating-point…”
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Accelerated Molecular Mechanical and Solvation Energetics on Multicore CPUs and Manycore GPUs by Cha, Deukhyun, Rand, Alexander, Zhang, Qin, Chowdhury, Rezaul A, Tithi, Jesmin Jahan, Bajaj, Chandrajit

“…Despite several reported acceleration successes of programmable GPUs (Graphics Processing Units) for molecular modeling and simulation tools, the general focus…”
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GenASiS   Basics: Object-oriented utilitarian functionality for large-scale physics simulations by Cardall, Christian Y., Budiardja, Reuben D.

“…Aside from numerical algorithms and problem setup, large-scale physics simulations on distributed-memory supercomputers require more basic utilitarian functionality, such as physical units and constants…”
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