In this paper and in the framework of the Asymptotic Numerical Method (ANM), we investigate numerically improved vectorial Padé Approximants. The ANM is a branch-by-branch continuation...

2019年12月1日 · In this paper and in the framework of the Asymptotic Numerical Method (ANM), we investigate numerically improved vectorial Padé Approximants. The ANM is a branch-by-branch continuation algorithm, each branch is represented by a vectorial Taylor series with respect to a path parameter.

2019年12月1日 · ANM 是一种逐个分支的延续算法，每个分支由一个关于路径参数的向量泰勒级数表示。 在 ANM 中，引入了向量 Pade 逼近，以增加向量泰勒级数的有效性范围。 在最近的一项工作中，我们引入了在 N 阶截断的向量泰勒级数的向量 Pade 逼近的新矩阵广义定义。 通过使用这个定义，类型 [L, M] (N = L + M) 的向量 Pade 逼近有被调查。 在本文中，我们还通过数值证明了矢量 Pade 逼近 [1, N - 1] 当系数 bi 从 Gram-schmidt 正交化技术计算时，与经典矢量 Pade 近 …

Semantic Scholar extracted view of "An improved Padé approximant in the ANM algorithm: Application to the post-buckling of shells" by R. Ayane et al.

In this work, we investigate numerically efficient vectorial Padé approximants in the Asymptotic Numerical Method (ANM). These efficient vectorial Padé approximants are deduced from a new matrix generalized definition of vectorial Padé representations.

2022年12月1日 · In this work, we show how to introduce improved vectorial Padé approximants in the Asymptotic Numerical Method (ANM) for solving elasto-plasticity problems in finite transformation. In this way, we have proposed an algorithm, based on Taylor series which has shown its efficiency for computing elasto-plastic structures in large deformations.

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