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A Visual-Based Approach for Evaluating Global Optimization Methods 基于视觉的全局优化方法评价方法
Pub Date : 2020-09-21 DOI: 10.1007/978-3-030-64616-5_12
A. Sysoyev, Maria Kocheganova, V. Gergel, E. Kozinov
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引用次数: 0
Multiple-Precision BLAS Library for Graphics Processing Units 图形处理单元的多精度BLAS库
Pub Date : 2020-06-30 DOI: 10.36227/techrxiv.12580301.v1
K. Isupov, V. Knyazkov
The binary32 and binary64 floating-point formats provide good performance on current hardware, but also introduce a rounding error in almost every arithmetic operation. Consequently, the accumulation of rounding errors in large computations can cause accuracy issues. One way to prevent these issues is to use multiple-precision floating-point arithmetic. This preprint, submitted to Russian Supercomputing Days 2020, presents a new library of basic linear algebra operations with multiple precision for graphics processing units. The library is written in CUDA C/C++ and uses the residue number system to represent multiple-precision significands of floating-point numbers. The supported data types, memory layout, and main features of the library are considered. Experimental results are presented showing the performance of the library.
binary32和binary64浮点格式在当前硬件上提供了良好的性能,但也在几乎每个算术运算中引入了舍入误差。因此,在大型计算中,舍入误差的累积可能导致准确性问题。防止这些问题的一种方法是使用多精度浮点运算。这份预印本提交给2020年俄罗斯超级计算日,展示了一个新的基本线性代数运算库,用于图形处理单元,具有多种精度。该库是用CUDA C/ c++编写的,并使用剩余数系统来表示浮点数的多精度有效位数。考虑了支持的数据类型、内存布局和库的主要特性。实验结果显示了该库的性能。
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引用次数: 7
Towards High Performance Relativistic Electronic Structure Modelling: The EXP-T Program Package 迈向高性能相对论电子结构建模:EXP-T程序包
Pub Date : 2020-04-07 DOI: 10.1007/978-3-030-64616-5_33
A. V. Oleynichenko, A. Zaitsevskii, E. Eliav
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引用次数: 16
The Simulation of 3D Wave Fields in Complex Topography Media 复杂地形介质中三维波场的模拟
Pub Date : 2019-09-23 DOI: 10.1007/978-3-030-36592-9_37
P. Titov
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引用次数: 0
Multithreaded Multifrontal Sparse Cholesky Factorization Using Threading Building Blocks 使用线程构建块的多线程多正面稀疏Cholesky分解
Pub Date : 2019-09-23 DOI: 10.1007/978-3-030-36592-9_7
Rostislav Povelikin, Sergey Lebedev, I. Meyerov
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引用次数: 2
Solving Inverse Problems of Ultrasound Tomography in a Nondestructive Testing on a Supercomputer 在超级计算机上求解超声层析成像无损检测中的逆问题
Pub Date : 2019-09-23 DOI: 10.1007/978-3-030-36592-9_32
E. Bazulin, A. Goncharsky, S. Romanov
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引用次数: 3
Parallel Ray Tracing Algorithm for Numerical Analysis of Laser Radiation Absorption in a Plasma 等离子体激光吸收数值分析的平行射线追踪算法
Pub Date : 2019-09-23 DOI: 10.1007/978-3-030-36592-9_10
A. Kotelnikov, I. Tsygvintsev, Mikhail V. Yakoboskiy, V. Gasilov
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引用次数: 0
Solving of Eigenvalue and Singular Value Problems via Modified Householder Transformations on Shared Memory Parallel Computing Systems 基于改进Householder变换的共享存储并行计算系统特征值和奇异值问题求解
Pub Date : 2019-09-23 DOI: 10.1007/978-3-030-36592-9_12
A. Andreev, V. Egunov
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引用次数: 0
Data-Parallel High-Precision Multiplication on Graphics Processing Units 图形处理单元上的数据并行高精度乘法
Pub Date : 2019-09-23 DOI: 10.1007/978-3-030-36592-9_2
K. Isupov, A. Kuvaev, V. Knyazkov
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引用次数: 0
A Highly Parallel Approach for Solving Computationally Expensive Multicriteria Optimization Problems 求解计算代价昂贵的多准则优化问题的高度并行方法
Pub Date : 2019-09-23 DOI: 10.1007/978-3-030-36592-9_1
V. Gergel, E. Kozinov
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引用次数: 0
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Russian Supercomputing Days
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