ILU FACTORIZATION WELL SUITED TO THE VECTOR PROCESSOR USING A VARIANT OF THE 5-POINT DIFFERENCE SCHEME

Fujino S.; Takeuchi T.

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ILU FACTORIZATION WELL SUITED TO THE VECTOR PROCESSOR USING A VARIANT OF THE 5-POINT DIFFERENCE SCHEME

机译：使用五点差异方案的各种变量，将ILU分解很好地适合于矢量处理器

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The implementation on the vector processor of Incomplete LU factorization in the Preconditioned Conjugate Gradient method and other Preconditioned CG-like methods for the numerical solutions of the partial differential equations is discussed. For sufficient vectorization, a variant of the standard 5-point difference scheme for 2-dimensional problems is introduced. The convergence property of ILU factorization for this variant is examined in comparison with that vectorized with the usual hyperplane ordering method for the standard 5-point difference scheme on the vector processor. The efficiency and effectiveness of this factorization for the variant of the difference scheme is demonstrated through several computational experiments. [References: 10]

机译：讨论了不完全LU分解的矢量处理器在预处理共轭梯度法和其他预处理CG类方法中求解偏微分方程数值解的实现。为了进行充分的矢量化，引入了针对二维问题的标准5点差分方案的变体。与在矢量处理器上使用标准5点差分方案的常规超平面排序方法进行矢量化的ILU分解的收敛性进行了比较。通过几个计算实验证明了这种差异化方案的因式分解的效率和有效性。 [参考：10]

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《Computer physics communications》 |1995年第3期|共11页
作者
Fujino S.; Takeuchi T.;
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正文语种 eng
中图分类计算机的应用;
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Linear-systems;

机译：线性系统;

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专利

1. ILU FACTORIZATION WELL SUITED TO THE VECTOR PROCESSOR USING A VARIANT OF THE 5-POINT DIFFERENCE SCHEME [J] . Fujino S., Takeuchi T. Computer physics communications . 1995,第3期

机译：使用五点差异方案的各种变量，将ILU分解很好地适合于矢量处理器
2. Different Versions of ILU and IUL Factorizations Obtained from Forward and Backward Factored Approximate Inverse Processes—Part Ⅰ [J] . Amin Rafiei, Fatemeh Shahlaei Advances in numerical analysis . 2011,第1期

机译：从正向和反向分解近似逆过程获得的ILU和IUL分解的不同版本-第一部分
3. Correction of Murine Hemophilia A and Immunological Differences of Factor VIII Variants Delivered by Helper-dependent Adenoviral Vectors. [J] . Cerullo V, Seiler MP, Mane V, Molecular therapy: the journal of the American Society of Gene Therapy . 2007,第12期

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4. A Study of ILU Factorization for Schwarz Preconditioned with Application to Computational Fluid Dynamics [C] . F. Pacull, S. Aubert, M. Buisson Proceedings of the Second international conference on parallel, distributed, grid and cloud computing for engineering. . 2011

机译：Schwarz预处理的ILU分解研究及其在计算流体力学中的应用
5. Heterogeneity Within Primary Progressive Aphasia (PPA): Differences Between Variants in Functional Communication, and a New Sub-Variant of Logopenic Variant PPA [D] . Gallée, Jeanne. 2021

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6. Differences in Vector Genome Processing and Illegitimate Integration of Non-Integrating Lentiviral Vectors [O] . Aaron M. Shaw, Guiandre L. Joseph, Aparna C. Jasti, -1

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7. Differences in vector-genome processing and illegitimate integration of non-integrating lentiviral vectors [O] . Shaw, Aaron M., Joseph, Guiandre L., Jasti, Aparna C., 2017

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8. Vectorized Difference Schemes for a Three Dimensional Enthalpy Formulation for Phase Change Problems [R] . Williams, M. A., Wilson, D. G. 1986

机译：相变问题的三维焓形式的矢量化差分格式

ILU FACTORIZATION WELL SUITED TO THE VECTOR PROCESSOR USING A VARIANT OF THE 5-POINT DIFFERENCE SCHEME

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