Factoring systems of linear PDEs with finite-dimensional solution spaces

Ziming Li; Fritz Schwarz; Serguei P. Tsarev

首页> 外文期刊>urnal of Symbolic Computation >Factoring systems of linear PDEs with finite-dimensional solution spaces

【24h】

Factoring systems of linear PDEs with finite-dimensional solution spaces

机译：具有有限维解空间的线性PDE分解系统

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

A D-finite system is a finite set of linear homogeneous partial differential equations in several independent and dependent variables, whose solution space is of finite dimension. Let L be a D-finite system with rational function coefficients. We present an algorithm for computing all hyperexponential solutions of L, and an algorithm for computing all D-finite systems whose coefficients are also rational functions, and whose solutions are contained in the solution space of L.

机译：D有限系统是由几个独立和因变量构成的线性齐次偏微分方程的有限组，其解空间是有限维的。令L为具有有理函数系数的D有限系统。我们提出了一种计算L的所有超指数解的算法，以及一种计算所有D有限系统的算法，这些系统的系数也是有理函数，并且其解包含在L的解空间中。

著录项

来源
《urnal of Symbolic Computation》 |2003年第4期|p.443-471|共29页
作者
Ziming Li; Fritz Schwarz; Serguei P. Tsarev;
展开▼
作者单位

Symbolic Computation Group, School of Computer Science, University of Waterloo, Ontario, Canada N2L 3G1;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词

相似文献

外文文献
中文文献
专利

1. Singular integral operators in Morrey spaces and interior regularity of solutions to systems of linear PDE's [J] . Lubomira G. Softova Journal of Global Optimization . 2008,第1a3期

机译：Morrey空间中的奇异积分算子和线性PDE系统解的内部正则性
2. Finite-dimensional approximation and control of non-linear parabolic PDE systems [J] . James Baker, Panagiotis D. Christofides International Journal of Control . 2000,第5期

机译：非线性抛物线PDE系统的有限尺寸近似与控制
3. Stabilizability Criteria for Discrete Linear Finite-dimensional Systems in Metric and Ultrametric Spaces [J] . V. T. Borukhov, O. M. Kvetko Journal of computer & systems sciences international . 2010,第2期

机译：度量和超度量空间中离散线性有限维系统的稳定性准则
4. Factorization of Overdetermined Systems of Linear Partial Differential Equations with Finite-Dimensional Solution Space [C] . Serguei P. Tsarev International Workshop on Computer Algebra in Scientific Computing . 2001

机译：具有有限尺寸溶液空间的线性偏微分方程的过度确定系统的分解
5. On output static feedback in linear time-invariant finite-dimensional systems. [D] . Najson, Federico. 2003

机译：线性时不变有限维系统中的输出静态反馈。
6. Fourier Transform on the Homogeneous Space of 3D Positions and Orientations for Exact Solutions to Linear PDEs [O] . Remco Duits, Erik J. Bekkers, Alexey Mashtakov 2019

机译：傅里叶变换在3D位置的同质空间和方向上的线性PDE的精确解决方案
7. Factoring systems of linear PDEs with finite-dimensional solution spaces [O] . Li Ziming, Schwarz Fritz, Tsarev Serguei P. 2003

机译：具有有限维解空间的线性PDE分解系统
8. Linear and Bilinear Infinite-Dimensional Representations of Finite-Dimensional Nonlinear Systems [R] . Banks, S. P., Ashtiani, A. 1984

机译：有限维非线性系统的线性和双线性无限维表示

Factoring systems of linear PDEs with finite-dimensional solution spaces

摘要

著录项

相似文献

相关主题

期刊订阅