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Implicit CIP (Cubic-Interpolated Propagation) method in one dimension

机译：一维中的隐式CIp（立方插值传播）方法

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摘要

A new implicit numerical solver for hyperbolic equations is proposed. This method is based on the CIP (Cubic-Interpolated Propagation) method that was proposed in an explicit form. Both a physical quantity and its spatial derivative are determined so as to obey the given equation. Just same as the CIP method, this method provides a stable and less diffusive result although it has an implicit form. Most importantly, this method, like other implicit schemes, is stable even in a high-CFL computation. In addition, this scheme can be directly solved by non-iterative procedure because of the two-points connected systems although it has third-order accuracy. The scheme is applied to a one-dimensional shock-tube problem accompanied by a region expanding with quite a high velocity. (author).

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作者
Ida, M. ; Yabe, T.;
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年度 1995
页码 1-19
总页数 19
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Shock Tubes; Computer Calculations; Equations; Interpolation; Joints; One-Dimensional Calculations; Wave Propagation;

机译：冲击管;计算机计算;方程;插值;接头;一维计算;波传播;

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专利

1. Implicit CIP (Cubic-interpolated propagation) method in two dimensions [J] . Hidekazu MAKUUCHI, Takayuki AOKI, Takashi YABE JSME International Journal. Series B . 1997,第3期

机译：二维隐式CIP（三次插值传播）方法
2. IMPLICIT CIP (CUBIC-INTERPOLATED PROPAGATION) METHOD IN ONE DIMENSION [J] . Ida M., Yabe T. Computer physics communications . 1995,第1期

机译：一维隐式CIP（立方插值传播）方法
3. Three-dimensional noniterative full-vectorial beam propagation method based on the alternating direction implicit method [J] . Yu-Li Hsueh, Ming-Chuan Yang Journal of Lightwave Technology . 1999,第11期

机译：基于交替方向隐式方法的三维非迭代全矢量波束传输方法
4. A Consideration of Multi-Dimensional Simulation of Nonlinear AcousticWave Propagation Using the CIP Method [C] . M. Konno, K. Okubo, T. Tsuchiya, International Acoustical Imaging Symposium . 2011

机译：使用CIP方法考虑非线性声波传播的多维模拟
5. A graph cut framework for two dimensional/three dimensional implicit front propagation with application to the image segmentation problem. [D] . El-Zehiry, Noha Youssry. 2009

机译：用于二维/三维隐式前传播的图割框架及其在图像分割中的应用。
6. Semi-implicit Integration Factor Methods on Sparse Grids for High-Dimensional Systems [O] . Dongyong Wang, Weitao Chen, Qing Nie -1

机译：高维系统稀疏网格上的半隐式积分因子方法
7. Implicit CIP (Cubic-Interpolated Propagation) Method in Two Dimensions. [O] . Hidekazu MAKUUCHI, Takayuki AOKI, Takashi YABE 1997

机译：两个维度中的隐式CIP（立方内插的传播）方法。
8. Oscillatory Solutions of the Peaceman-Rachford Alternating Direction Implicit Method and a Comparison of Methods for the Solution of the Two Dimensional Heat Diffusion Equation [R] . Kropf, R. F. 1985

机译：peaceman-Rachford交替方向隐式方法的振动解及二维热扩散方程解法的比较

Implicit CIP (Cubic-Interpolated Propagation) method in one dimension

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