On computational Poisson geometry I: Symbolic foundations

MA Evangelista-Alvarado, JC Ruíz-Pantaleón… - arxiv preprint arxiv …, 2019 - arxiv.org
We present a computational toolkit for (local) Poisson-Nijenhuis calculus on manifolds. Our
python module $\textsf {PoissonGeometry} $ implements our algorithms, and accompanies …

On computational Poisson geometry II: Numerical methods

M Evangelista-Alvarado, JC Ruíz-Pantaleón… - arxiv preprint arxiv …, 2020 - arxiv.org
We present twelve numerical methods for evaluation of objects and concepts from Poisson
geometry. We describe how each method works with examples, and explain how it is …

Examples of Symbolic and Numerical Computation in Poisson Geometry

M Evangelista–Alvarado, JC Ruíz–Pantaleón… - … on Geometric Science …, 2021 - Springer
Examples of Symbolic and Numerical Computation in Poisson Geometry | SpringerLink
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Using Oshima splines to produce accurate numerical results and high quality graphical output

S Takato, JA Vallejo - Mathematics in Computer Science, 2020 - Springer
We illustrate the use of Oshima splines in producing high-quality output in two cases: first,
the numerical computation of derivatives and integrals, and second, the display of …

[PDF][PDF] 大島スプライン曲線の応用と KeTCindy プログラミング (数学ソフトウェアとその効果的教育利用に関する研究)

高遠節夫 - 数理解析研究所講究録, 2019 - repository.kulib.kyoto-u.ac.jp
Cinderella ([1]) は動的幾何ソフト (DGS) の 1 つであり, 他の DGS と同様に図形表示の画面
(CindyScreen) 上に幾何要素を描き, 動かすことができる. さらに, CindyScript …