A Normal Form Algorithm for Regular Differential Chains

Francois Boulier; Francois Lemaire

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A Normal Form Algorithm for Regular Differential Chains

机译：正则微分链的范式算法

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摘要

This paper presents a new algorithm for computing the normal form of a differential rational fraction modulo differential ideals presented by regular differential chains. An application to the computation of power series solutions is presented and illustrated with the new DifferentialAlgebra MAPLE package.

机译：本文提出了一种新的算法，用于计算由正规微分链给出的微分有理分数模微分理想的正规形式。利用新的DifferentialAlgebra MAPLE软件包介绍并举例说明了幂级数解的计算应用。

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来源
《Mathematics in computer science 》 |2010年第3期| 共17页
作者
Francois Boulier; Francois Lemaire;
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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
Computer algebra; Differential algebra; Normal form; Regular differential chain; Characteristic set; Power series;

机译：计算机代数;微分代数;正规形式;正则微分链;特征集;幂级数;

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专利

1. A Normal Form Algorithm for Regular Differential Chains [J] . François Boulier, François Lemaire Mathematics in Computer Science . 2010 ,第2a3期

机译：正则微分链的范式算法
2. Power Law Violation Of The Area Law In Quantum Spin Chains, Performance Of The Quantum Adiabatic Algorithm On Random Instances Of Two Optimization Problems On Regular Hypergraphs, And Other Executive Models [J] . K.N.P. Kumar Advances in Physics Theories and Applications . 2013 ,第1期

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3. Performance Comparison of Two Recently Proposed Adaptive Differential Evolution Algorithms on Space Only Low Sidelobe Synthesis Problem of Concentric Regular Hexagonal Antenna Arrays [J] . Sudipta Das, Syeda Masrura Nazerin, Durbadal Mandal, Procedia Computer Science . 2015 ,第1期

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4. Finding First Integrals Using Normal Forms Modulo Differential Regular Chains [C] . Francois Boulier, Francois Lemaire International workshop on computer algebra in scientific computing . 2015

机译：使用范式模微分正则链找到第一积分
5. Stochastic optimization algorithms and moment formulas for Markov chains. [D] . Calvin, James Michael. 1990

机译：马尔可夫链的随机优化算法和矩公式。
6. Multiscale Stochastic Reaction–Diffusion Algorithms Combining Markov Chain Models with Stochastic Partial Differential Equations [O] . Hye-Won Kang, Radek Erban -1

机译：马尔可夫链模型与随机偏微分方程相结合的多尺度随机反应扩散算法
7. A Normal Form Algorithm For Regular Differential Chains [O] . François Boulier, François Lemaire 2013

机译：常规差分链的正规形式算法
8. Poincare Normal Form (System of Ordinary Differential Equations): An AlgorithmicPoint of View [R] . Della-dora, J., Stolovitch, L. 1991

机译：poincare Normal Form（常微分方程组）：一种算法视点

A Normal Form Algorithm for Regular Differential Chains

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