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Titlebook: Computer Algebra in Scientific Computing; 10th International W Victor G. Ganzha,Ernst W. Mayr,Evgenii V. Vorozhts Conference proceedings 20

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樓主: breath-focus
11#
發(fā)表于 2025-3-23 11:52:16 | 只看該作者
Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation,difference equation .(.)?=?0 with polynomial coefficients, and that a summing operator for . exists (such an operator can be found – if it exists – by the Accurate Summation algorithm, or alternatively, by Gosper’s algorithm when ord .?=?1)..The notion of . which covers the case where .(z) has poles in . is introduced.
12#
發(fā)表于 2025-3-23 15:55:52 | 只看該作者
13#
發(fā)表于 2025-3-23 20:50:44 | 只看該作者
An Efficient LLL Gram Using Buffered Transformations,r-Euchner algorithm and introducing the use of buffered transformations allows us to obtain a major improvement in reduction time. Unlike previous work, we are able to achieve the improvement while obtaining a strong reduction result and maintaining the stability of the reduction algorithm.
14#
發(fā)表于 2025-3-23 23:54:15 | 只看該作者
15#
發(fā)表于 2025-3-24 03:01:54 | 只看該作者
An Algorithm for Construction of Normal Forms,the corresponding transformations without computer algebra packages. Here we describe an algorithm for normalization of nonlinear autonomous ODEs. Some implementations of these algorithms are also discussed.
16#
發(fā)表于 2025-3-24 07:07:50 | 只看該作者
17#
發(fā)表于 2025-3-24 13:50:45 | 只看該作者
Lecture Notes in Computer Sciencehttp://image.papertrans.cn/c/image/233407.jpg
18#
發(fā)表于 2025-3-24 17:49:27 | 只看該作者
https://doi.org/10.1007/978-1-4471-7475-2difference equation .(.)?=?0 with polynomial coefficients, and that a summing operator for . exists (such an operator can be found – if it exists – by the Accurate Summation algorithm, or alternatively, by Gosper’s algorithm when ord .?=?1)..The notion of . which covers the case where .(z) has poles
19#
發(fā)表于 2025-3-24 21:38:53 | 只看該作者
https://doi.org/10.1007/978-1-4471-7475-2of the roots of polynomials. Empirical results presented in this paper verify that this implementation makes the CF method . faster than the Vincent-Collins-Akritas bisection method, or any of its variants.
20#
發(fā)表于 2025-3-25 00:02:23 | 只看該作者
https://doi.org/10.1007/978-1-4471-7475-2r-Euchner algorithm and introducing the use of buffered transformations allows us to obtain a major improvement in reduction time. Unlike previous work, we are able to achieve the improvement while obtaining a strong reduction result and maintaining the stability of the reduction algorithm.
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